cAbelianGroup`0`x`()->Category``ABELGRP`3
cAbelianMonoid`0`x`()->Category``ABELMON`124
cAbelianMonoidRing`2`x`(Join(SemiRng,etc),OrderedAbelianMonoid)->Category`(R,E)`AMR`247
cAbelianProductCategory`1`n`(Type)->Category`(A)`APRODC`830
cAbelianSemiGroup`0`x`()->Category``ABELSG`909
cadditiveValuation`0`n`()->Category``ATADDVA`1057
cAggregate`0`x`()->Category``AGG`1167
cAIntervalCategory`1`n`(OrderedAbelianSemiGroup)->Category`(R)`AINTCAT`1669
cAlgebra`1`x`(CommutativeRing)->Category`(R)`ALGEBRA`1901
cAlgebraicallyClosedField`0`x`()->Category``ACF`1991
cAlgebraicallyClosedFunctionSpace`1`x`(Join(Comparable,etc))->Category`(R)`ACFS`2034
cApproximate`0`n`()->Category``ATAPPRO`2086
carbitraryExponent`0`n`()->Category``ATARBEX`2128
carbitraryPrecision`0`n`()->Category``ATARBPR`2185
cArcHyperbolicFunctionCategory`0`x`()->Category``AHYP`2279
cArcTrigonometricFunctionCategory`0`x`()->Category``ATRIG`2344
cAssociationListAggregate`2`x`(SetCategory,Type)->Category`(Key,Entry)`ALAGG`2398
cBagAggregate`1`x`(Type)->Category`(S)`BGAGG`2564
cBasicType`0`x`()->Category``BASTYPE`2783
cBialgebra`2`x`(R:CommutativeRing,Module(R))->Category`(R,MxM)`BIALG`2899
cBiCPO`1`n`(SetCategory)->Category`(S)`BICPO`3149
cBiModule`2`x`(SemiRng,SemiRng)->Category`(R,S)`BMODULE`3396
cBinaryRecursiveAggregate`1`x`(Type)->Category`(S)`BRAGG`3511
cBinaryTreeCategory`1`x`(SetCategory)->Category`(S)`BTCAT`3647
cBitAggregate`0`x`()->Category``BTAGG`3863
cBoundedDistributiveLattice`0`n`()->Category``BDISTL`3960
cBoundedJoinSemilattice`0`n`()->Category``BJOIN`4151
cBoundedLattice`0`n`()->Category``BLAT`4433
cBoundedMeetSemilattice`0`n`()->Category``BMEET`4585
cCachableSet`0`x`()->Category``CACHSET`4790
cCancellationAbelianMonoid`0`x`()->Category``CABMON`4878
cCanonical`0`n`()->Category``ATCANON`5104
ccanonicalsClosed`0`n`()->Category``ATCANCL`5243
ccanonicalUnitNormal`0`n`()->Category``ATCUNOR`5355
cCharacteristicNonZero`0`x`()->Category``CHARNZ`5595
cCharacteristicZero`0`x`()->Category``CHARZ`5633
cCoalgebra`2`x`(R:CommutativeRing,Module(R))->Category`(R,MxM)`COALG`5668
cCoDcpo`1`n`(SetCategory)->Category`(S)`CODCPO`5835
cCoercibleFrom`1`n`(Type)->Category`(S)`KOERCEF`6067
cCoercibleTo`1`x`(Type)->Category`(S)`KOERCE`6201
cCollection`1`x`(Type)->Category`(S)`CLAGG`6335
cCombinatorialFunctionCategory`0`x`()->Category``CFCAT`6764
cCombinatorialOpsCategory`0`x`()->Category``COMBOPC`6817
cCommutativeRing`0`x`()->Category``COMRING`6948
cCommutativeStar`0`n`()->Category``ATCS`7106
cComparable`0`n`()->Category``COMPAR`7290
cComplexCategory`1`x`(CommutativeRing)->Category`(R)`COMPCAT`7391
cConvertibleFrom`1`n`(Type)->Category`(S)`KONVERF`7476
cConvertibleTo`1`x`(Type)->Category`(S)`KONVERT`7621
cDcpo`1`n`(SetCategory)->Category`(S)`DCPO`7766
cDequeueAggregate`1`x`(Type)->Category`(S)`DQAGG`8006
cDictionary`1`x`(Type)->Category`(S)`DIAGG`8178
cDictionaryOperations`1`x`(Type)->Category`(S)`DIOPS`8494
cDifferentialExtension`1`x`(Ring)->Category`(R)`DIFEXT`8622
cDifferentialPolynomialCategory`4`x`(Ring,S:OrderedSet,DifferentialVariableCategory(S),OrderedAbelianMonoidSup)->Category`(R,S,V,E)`DPOLCAT`8746
cDifferentialRing`0`x`()->Category``DIFRING`10028
cDifferentialVariableCategory`1`x`(OrderedSet)->Category`(S)`DVARCAT`10134
cDirectProductCategory`2`x`(NonNegativeInteger,Type)->Category`(dim,R)`DIRPCAT`12433
cDistributionCategory`1`n`(CommutativeRing)->Category`(R)`DISTCAT`12574
cDistributiveLattice`0`n`()->Category``DISTLAT`12632
cDivisionRing`0`x`()->Category``DIVRING`12823
cDoublyLinkedAggregate`1`x`(Type)->Category`(S)`DLAGG`12988
cElementaryFunctionCategory`0`x`()->Category``ELEMFUN`13185
cEltable`2`x`(Type,Type)->Category`(D,I)`ELTAB`13229
cEltableAggregate`2`x`(Type,Type)->Category`(Dom,Im)`ELTAGG`13530
cEntireRing`0`x`()->Category``ENTIRER`13881
cEuclideanDomain`0`x`()->Category``EUCDOM`14027
cEvalable`1`x`(SetCategory)->Category`(R)`EVALAB`14413
cExpressionSpace`0`x`()->Category``ES`14568
cExpressionSpace2`1`x`(KernelCategory(%))->Category`(K)`ESC2`14642
cExtensibleLinearAggregate`1`x`(Type)->Category`(S)`ELAGG`14717
cExtensionField`1`x`(Field)->Category`(F)`XF`15104
cFacetCategory`0`n`()->Category``FACTCAT`15190
cField`0`x`()->Category``FIELD`15395
cFieldOfPrimeCharacteristic`0`x`()->Category``FPC`15613
cFileCategory`2`x`(SetCategory,SetCategory)->Category`(Name,S)`FILECAT`15847
cFileNameCategory`0`x`()->Category``FNCAT`16082
cFinite`0`x`()->Category``FINITE`16152
cFiniteAbelianMonoidRing`2`x`(Join(SemiRng,etc),OrderedAbelianMonoid)->Category`(R,E)`FAMR`16380
cfiniteAggregate`0`n`()->Category``ATFINAG`16545
cFiniteAlgebraicExtensionField`1`x`(Field)->Category`(F)`FAXF`16612
cFiniteDivisorCategory`4`x`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),FunctionFieldCategory(F,UP,UPUP))->Category`(F,UP,UPUP,R)`FDIVCAT`18103
cFiniteFieldCategory`0`x`()->Category``FFIELDC`18329
cFiniteGraph`1`n`(SetCategory)->Category`(S)`FGRPH`18387
cFiniteGroup`0`n`()->Category``FINGRP`18462
cFiniteLinearAggregate`1`x`(Type)->Category`(S)`FLAGG`18498
cFinitelyGenerated`0`n`()->Category``FINGEN`18569
cFiniteRankAlgebra`2`x`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`FINRALG`18650
cFiniteRankNonAssociativeAlgebra`1`x`(CommutativeRing)->Category`(R)`FINAALG`18770
cFiniteSetAggregate`1`x`(SetCategory)->Category`(S)`FSAGG`18919
cFloatingPointSystem`0`x`()->Category``FPS`19114
cFormatterCategory`0`n`()->Category``FMTCAT`0
cFortranFunctionCategory`0`n`()->Category``FORTFN`20121
cFortranMachineTypeCategory`0`n`()->Category``FMTC`20254
cFortranMatrixCategory`0`n`()->Category``FMC`20352
cFortranMatrixFunctionCategory`0`n`()->Category``FMFUN`20564
cFortranProgramCategory`0`n`()->Category``FORTCAT`20705
cFortranVectorCategory`0`n`()->Category``FVC`20843
cFortranVectorFunctionCategory`0`n`()->Category``FVFUN`21055
cFramedAlgebra`2`x`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`FRAMALG`21203
cFramedModule`1`n`(Join(SemiRng,etc))->Category`(R)`FRMOD`21314
cFramedNonAssociativeAlgebra`1`x`(CommutativeRing)->Category`(R)`FRNAALG`21408
cFreeLieAlgebra`2`x`(OrderedSet,CommutativeRing)->Category`(VarSet,R)`FLALG`21684
cFreeModuleCategory`2`x`(Join(SemiRng,etc),SetCategory)->Category`(R,S)`FMCAT`21830
cFullyEvalableOver`1`x`(SetCategory)->Category`(R)`FEVALAB`22644
cFullyLinearlyExplicitOver`1`x`(Ring)->Category`(R)`FLINEXP`22764
cFullyPatternMatchable`1`x`(Type)->Category`(R)`FPATMAB`22975
cFullyRetractableTo`1`x`(Type)->Category`(S)`FRETRCT`23167
cFunctionFieldCategory`3`x`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UnivariatePolynomialCategory(Fraction(UP)))->Category`(F,UP,UPUP)`FFCAT`23469
cFunctionSpace`1`x`(Comparable)->Category`(R)`FS`23550
cFunctionSpace2`2`x`(Comparable,KernelCategory(%))->Category`(R,K)`FSC2`23621
cGcdDomain`0`x`()->Category``GCDDOM`23698
cGradedAlgebra`2`x`(CommutativeRing,AbelianMonoid)->Category`(R,E)`GRALG`23999
cGradedModule`2`x`(CommutativeRing,AbelianMonoid)->Category`(R,E)`GRMOD`24348
cGroup`0`x`()->Category``GROUP`24883
cHashable`0`n`()->Category``HASHABL`24991
cHomogeneousAggregate`1`x`(Type)->Category`(S)`HOAGG`25073
cHopfAlgebra`2`x`(R:CommutativeRing,Module(R))->Category`(R,MxM)`HOPFALG`25594
cHyperbolicFunctionCategory`0`x`()->Category``HYPCAT`25644
cIndexedAggregate`2`x`(Type,Type)->Category`(Index,Entry)`IXAGG`25702
cIndexedDirectProductCategory`2`x`(SetCategory,SetCategory)->Category`(A,S)`IDPC`25955
cIndexedProductCategory`2`n`(SetCategory,SetCategory)->Category`(A,S)`IPC`26188
cInnerEvalable`2`x`(SetCategory,Type)->Category`(A,B)`IEVALAB`26531
cIntegerNumberSystem`0`x`()->Category``INS`26854
cIntegralDomain`0`x`()->Category``INTDOM`26918
cIntervalCategory`1`x`(Join(FloatingPointSystem,etc))->Category`(R)`INTCAT`27039
cJetBundleBaseFunctionCategory`1`n`(JetBundleCategory)->Category`(JB)`JBBFC`27323
cJetBundleCategory`0`n`()->Category``JBC`27609
cJetBundleFunctionCategory`1`n`(JetBundleCategory)->Category`(JB)`JBFC`28271
cJoinSemilattice`0`n`()->Category``JOINLAT`28693
cKernelCategory`1`n`(Comparable)->Category`(S)`KERCAT`28963
cKeyedDictionary`2`x`(Type,Type)->Category`(Key,Entry)`KDAGG`29064
cLattice`0`n`()->Category``LAT`29171
clazyRepresentation`0`n`()->Category``ATLR`29303
cLazyStreamAggregate`1`x`(Type)->Category`(S)`LZSTAGG`29365
cLeftAlgebra`1`x`(Ring)->Category`(R)`LALG`30018
cLeftModule`1`x`(SemiRng)->Category`(R)`LMODULE`30081
cLeftOreRing`0`n`()->Category``LORER`30270
cLieAlgebra`1`x`(CommutativeRing)->Category`(R)`LIECAT`30409
cLinearAggregate`1`x`(Type)->Category`(S)`LNAGG`30564
cLinearlyExplicitOver`1`x`(Ring)->Category`(R)`LINEXP`31235
cLinearOrdinaryDifferentialOperatorCategory`1`x`(Ring)->Category`(A)`LODOCAT`31299
cLiouvillianFunctionCategory`0`x`()->Category``LFCAT`31563
cListAggregate`1`x`(Type)->Category`(S)`LSAGG`31623
cLogic`0`x`()->Category``LOGIC`31809
cMagma`0`x`()->Category``MAGMA`31892
cMagmaWithUnit`0`x`()->Category``MAGMAWU`31994
cMatrixCategory`3`x`(R:AbelianMonoid,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`MATCAT`32434
cMatrixOperationsCategory`3`x`(BasicType,Type,Type)->Category`(R,Row,Col)`MATOPC`33039
cMaybeSkewPolynomialCategory`3`n`(Join(SemiRng,etc),OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,VarSet)`GPOLCAT`33181
cMeetSemilattice`0`n`()->Category``MEETLAT`33359
cModularAlgebraicGcdOperations`3`n`(Type,Type,Type)->Category`(MP,MPT,MD)`MAGCDOC`33555
cModularEvaluationCategory`2`n`(Type,Type)->Category`(PT,MP)`MEVCAT`34240
cModularFactorizationOperations`4`n`(Type,Type,Type,Type)->Category`(PA,MMT,MD,PMD)`MFOPC`34368
cModule`1`x`(CommutativeRing)->Category`(R)`MODULE`34462
cMonogenicAlgebra`2`x`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`MONOGEN`34527
cMonoid`0`x`()->Category``MONOID`34635
cMonoidRingCategory`2`x`(Ring,Monoid)->Category`(R,M)`MRCAT`34757
cMultiDictionary`1`x`(SetCategory)->Category`(S)`MDAGG`34923
cmultiplicativeValuation`0`n`()->Category``ATMULVA`35116
cMultisetAggregate`1`x`(SetCategory)->Category`(S)`MSETAGG`35227
cMultivariateSkewPolynomialCategory`3`n`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,Var)`MORECAT`35318
cMultivariateTaylorSeriesCategory`2`x`(Ring,OrderedSet)->Category`(Coef,Var)`MTSCAT`35362
cNonAssociativeAlgebra`1`x`(CommutativeRing)->Category`(R)`NAALG`35469
cNonAssociativeRing`0`x`()->Category``NARING`35664
cNonAssociativeRng`0`x`()->Category``NARNG`35807
cNonAssociativeSemiRing`0`n`()->Category``NASRING`36159
cNonAssociativeSemiRng`0`n`()->Category``NASRNG`36264
cNormalizedTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`NTSCAT`36385
cnoZeroDivisors`0`n`()->Category``ATNZDIV`36948
cOctonionCategory`1`x`(CommutativeRing)->Category`(R)`OC`37059
cOneDimensionalArrayAggregate`1`x`(Type)->Category`(S)`A1AGG`37272
cOpenMath`0`x`()->Category``OM`38059
cOrderedAbelianGroup`0`x`()->Category``OAGROUP`38149
cOrderedAbelianMonoid`0`x`()->Category``OAMON`38246
cOrderedAbelianMonoidSup`0`x`()->Category``OAMONS`38344
cOrderedAbelianSemiGroup`0`x`()->Category``OASGP`38652
cOrderedCancellationAbelianMonoid`0`x`()->Category``OCAMON`38794
cOrderedFinite`0`x`()->Category``ORDFIN`38905
cOrderedIntegralDomain`0`x`()->Category``OINTDOM`38932
cOrderedMonoid`0`x`()->Category``ORDMON`39053
cOrderedMultisetAggregate`1`x`(OrderedSet)->Category`(S)`OMSAGG`39156
cOrderedRing`0`x`()->Category``ORDRING`39354
cOrderedSemiGroup`0`n`()->Category``OSGROUP`39483
cOrderedSet`0`x`()->Category``ORDSET`39526
cOutputFormatterCategory`0`n`()->Category``FORMCAT`39837
cPAdicIntegerCategory`1`x`(Integer)->Category`(p)`PADICCT`39912
cPartialDifferentialRing`1`x`(SetCategory)->Category`(S)`PDRING`40002
cPartialOrder`0`x`()->Category``PORDER`40107
cPartialTranscendentalFunctions`1`x`(Type)->Category`(K)`PTRANFN`40222
cPatternable`1`x`(Type)->Category`(R)`PATAB`40357
cPatternMatchable`1`x`(SetCategory)->Category`(S)`PATMAB`40546
cPermutationCategory`1`x`(SetCategory)->Category`(S)`PERMCAT`40667
cPlottablePlaneCurveCategory`0`x`()->Category``PPCURVE`40812
cPlottableSpaceCurveCategory`0`x`()->Category``PSCURVE`41150
cPointCategory`1`x`(Ring)->Category`(R)`PTCAT`41487
cPolynomialCategory`3`x`(Join(SemiRng,etc),OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,VarSet)`POLYCAT`41668
cPolynomialFactorizationExplicit`0`x`()->Category``PFECAT`41879
cPolynomialSetCategory`4`x`(R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,RecursivePolynomialCategory(R,E,VarSet))->Category`(R,E,VarSet,P)`PSETCAT`42022
cPoset`1`n`(SetCategory)->Category`(S)`POSET`42617
cPowerSeriesCategory`3`x`(Ring,OrderedAbelianMonoid,OrderedSet)->Category`(Coef,Expon,Var)`PSCAT`42818
cPreorder`1`n`(SetCategory)->Category`(S)`PREORD`42942
cPrimitiveFunctionCategory`0`x`()->Category``PRIMCAT`43119
cPrincipalIdealDomain`0`x`()->Category``PID`43174
cPriorityQueueAggregate`1`x`(OrderedSet)->Category`(S)`PRQAGG`43523
cQuaternionCategory`1`x`(CommutativeRing)->Category`(R)`QUATCAT`43640
cQueueAggregate`1`x`(Type)->Category`(S)`QUAGG`43777
cQuotientFieldCategory`1`x`(IntegralDomain)->Category`(S)`QFCAT`43859
cRadicalCategory`0`x`()->Category``RADCAT`43950
cRealClosedField`0`x`()->Category``RCFIELD`44020
cRealConstant`0`x`()->Category``REAL`44114
cRealNumberSystem`0`x`()->Category``RNS`44199
cRealRootCharacterizationCategory`2`x`(TheField:Join(OrderedRing,etc),UnivariatePolynomialCategory(TheField))->Category`(TheField,ThePols)`RRCC`44493
cRectangularMatrixCategory`5`x`(m:NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc),DirectProductCategory(n,R),DirectProductCategory(m,R))->Category`(m,n,R,Row,Col)`RMATCAT`44603
cRecursiveAggregate`1`x`(Type)->Category`(S)`RCAGG`44831
cRecursivePolynomialCategory`3`x`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,V)`RPOLCAT`45274
cRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`RSETCAT`45732
cRetractableFrom`1`n`(Type)->Category`(S)`RETFROM`47918
cRetractableTo`1`x`(Type)->Category`(S)`RETRACT`48095
cRightModule`1`x`(SemiRng)->Category`(R)`RMODULE`48270
cRing`0`x`()->Category``RING`48462
cRng`0`x`()->Category``RNG`48555
cSegmentCategory`1`x`(Type)->Category`(S)`SEGCAT`48773
cSegmentExpansionCategory`2`x`(S:OrderedRing,StreamAggregate(S))->Category`(S,L)`SEGXCAT`48862
cSemiGroup`0`x`()->Category``SGROUP`48952
cSemiRing`0`n`()->Category``SRING`49079
cSemiRng`0`n`()->Category``SRNG`49167
cSequenceCategory`1`n`(CommutativeRing)->Category`(R)`SEQUCAT`49271
cSetAggregate`1`x`(SetCategory)->Category`(S)`SETAGG`49369
cSetCategory`0`x`()->Category``SETCAT`49692
cSExpressionCategory`4`x`(SetCategory,SetCategory,SetCategory,SetCategory)->Category`(Str,Sym,Int,Flt)`SEXCAT`49963
cshallowlyMutable`0`n`()->Category``ATSHMUT`50065
cSolvableSkewPolynomialCategory`2`n`(Ring,OrderedAbelianMonoidSup)->Category`(R,Expon)`SSKPOLC`50159
cSpecialFunctionCategory`0`x`()->Category``SPFCAT`50440
cSPointCategory`0`n`()->Category``SPTCAT`50488
cSquareFreeNormalizedTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SNTSCAT`50817
cSquareFreeRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SFRTCAT`50972
cSquareMatrixCategory`4`x`(ndim:NonNegativeInteger,R:Join(SemiRng,etc),DirectProductCategory(ndim,R),DirectProductCategory(ndim,R))->Category`(ndim,R,Row,Col)`SMATCAT`51449
cStackAggregate`1`x`(Type)->Category`(S)`SKAGG`51705
cStepThrough`0`x`()->Category``STEP`51786
cStreamAggregate`1`x`(Type)->Category`(S)`STAGG`52334
cStreamTaylorSeriesOperationsCategory`2`n`(R:Ring,LeftModule(R))->Category`(R,M)`STTAYOC`52593
cStringAggregate`0`x`()->Category``SRAGG`52915
cStringCategory`0`x`()->Category``STRICAT`53014
cTableAggregate`2`x`(Type,Type)->Category`(Key,Entry)`TBAGG`53055
cTaylorSeriesExpansion`5`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,Var:OrderedSet,PowerSeriesCategory(Coef,Expon,Var),UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,Expon,Var,PS,UTS)`TSEREXP`53173
cTensorPowerCategory`3`x`(NonNegativeInteger,R:CommutativeRing,Module(R))->Category`(n,R,M)`TENSPC`53232
cTensorProductCategory`3`x`(R:CommutativeRing,Module(R),Module(R))->Category`(R,M,N)`TENSCAT`53299
cTensorProductProperty`5`x`(R:CommutativeRing,M:Module(R),N:Module(R),TensorProductCategory(R,M,N),Module(R))->Category`(R,M,N,MxN,S)`TENSPRP`53368
cThreeSpaceCategory`1`x`(Ring)->Category`(R)`SPACEC`53413
cTranscendentalFunctionCategory`0`x`()->Category``TRANFUN`53599
cTriangularSetCategory`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`TSETCAT`53659
cTrigonometricFunctionCategory`0`x`()->Category``TRIGCAT`54681
cTwoDimensionalArrayCategory`3`x`(R:Type,IndexedAggregate(Integer,R),IndexedAggregate(Integer,R))->Category`(R,Row,Col)`ARR2CAT`54729
cTwoSidedRecip`0`n`()->Category``ATTWSR`55273
cType`0`x`()->Category``TYPE`55378
cUnaryRecursiveAggregate`1`x`(Type)->Category`(S)`URAGG`55406
cUniqueFactorizationDomain`0`x`()->Category``UFD`55866
cunitsKnown`0`n`()->Category``ATUNIKN`56036
cUnivariateLaurentSeriesCategory`1`x`(Ring)->Category`(Coef)`ULSCAT`56260
cUnivariateLaurentSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,UTS)`ULSCCAT`56360
cUnivariatePolynomialCategory`1`x`(Join(SemiRng,etc))->Category`(R)`UPOLYC`56651
cUnivariatePowerSeriesCategory`2`x`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`UPSCAT`56798
cUnivariatePuiseuxSeriesCategory`1`x`(Ring)->Category`(Coef)`UPXSCAT`57144
cUnivariatePuiseuxSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateLaurentSeriesCategory(Coef))->Category`(Coef,ULS)`UPXSCCA`57244
cUnivariateSeriesWithRationalExponents`2`n`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`RATPSCT`57539
cUnivariateSkewPolynomialCategory`1`x`(Ring)->Category`(R)`OREPCAT`57602
cUnivariateTaylorSeriesCategory`1`x`(Ring)->Category`(Coef)`UTSCAT`57979
cVarCat`0`n`()->Category``VARCAT`58077
cVariablesCommuteWithCoefficients`0`n`()->Category``ATVCWC`58375
cVectorCategory`1`x`(Type)->Category`(R)`VECTCAT`58464
cXAlgebra`1`x`(Ring)->Category`(R)`XALG`58881
cXFreeAlgebra`2`x`(OrderedSet,Ring)->Category`(vl,R)`XFALG`59092
cXPolynomialsCat`2`x`(OrderedSet,Ring)->Category`(vl,R)`XPOLYC`59199
dAInterval`1`n`(OrderedAbelianSemiGroup)->AIntervalCategory(R)`(R)`AINTRVL`59364
dAlgebraGivenByStructuralConstants`4`x`(R:CommutativeRing,n:PositiveInteger,ls:List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(R),etc)`(R,n,ls,gamma)`ALGSC`59428
dAlgebraicFunctionField`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),UPUP)->Join(FunctionFieldCategory(F,UP,UPUP),etc)`(F,UP,UPUP,modulus)`ALGFF`59879
dAlgebraicNumber`0`x`()->Join(ExpressionSpace,etc)``AN`59945
dAnonymousFunction`0`n`()->SetCategory``ANON`59994
dAntiSymm`2`n`(Ring,List(Symbol))->Join(LeftAlgebra(R),etc)`(R,lVar)`ANTISYM`60043
dAny`0`x`()->Join(SetCategory,etc)``ANY`60090
dArrayStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`60522
dAssociatedJordanAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`60569
dAssociatedLieAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`61630
dAssociationList`2`n`(SetCategory,Entry:Type)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`62657
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`62970
dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`63056
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`63398
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`63612
dBasicFile`0`n`()->etc``BASFILE`63819
dBasicKeyedAccessFile`0`n`()->etc``BKAFILE`63886
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`63960
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`64092
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`64182
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`64429
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`64717
dBits`0`x`()->Join(BitAggregate,etc)``BITS`64951
dBitStreamFrame`0`n`()->Join(Lattice,etc)``BITST`65018
dBoolean`0`x`()->Join(OrderedSet,etc)``BOOLEAN`65100
dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`65193
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`66565
dCell`1`n`(RealClosedField)->Join(CoercibleTo(OutputForm),etc)`(TheField)`CELL`66809
dChainComplex`0`n`()->Join(SetCategory,etc)``CHAINC`66891
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`67300
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`67358
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,SquareMatrix(n,K))->Join(Ring,etc)`(n,K,bLin)`CLIF`67448
dCoChainComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`COCHNC`67701
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`68114
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`68224
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`68260
dComplexDoubleFloatMatrix`0`n`()->MatrixCategory(Complex(DoubleFloat),ComplexDoubleFloatVector,ComplexDoubleFloatVector)``CDFMAT`68463
dComplexDoubleFloatVector`0`n`()->Join(VectorCategory(Complex(DoubleFloat)),etc)``CDFVEC`68681
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`68898
dCubicalFacet`0`n`()->Join(FacetCategory,etc)``CFACET`69364
dCyclicGroup`2`n`(PositiveInteger,Symbol)->Join(FiniteGroup,etc)`(n,g)`CYCGRP`69693
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`69734
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`69828
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`69885
dDeltaComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`DELTAC`69976
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`70606
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`70889
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`70935
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`71184
dDihedralGroup`3`n`(PositiveInteger,Symbol,Symbol)->Join(FiniteGroup,etc)`(n,a,b)`DIHGRP`71450
dDirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`DGRPH`71579
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->Join(DirectProductCategory(dim,R),etc)`(dim,R)`DIRPROD`71657
dDirectProductMatrixModule`4`n`(n:PositiveInteger,R:Ring,M:SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,M,S)`DPMM`72243
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`72329
dDirichletRing`1`n`(Ring)->Join(Ring,etc)`(Coef)`DIRRING`72428
dDistributedJetBundlePolynomial`4`n`(Ring,JB:JetBundleCategory,LJV:List(JB),E:DirectProductCategory(#(LJV),NonNegativeInteger))->Join(PolynomialCategory(R,E,JB),etc)`(R,JB,LJV,E)`DJBP`72531
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`72796
dDistribution`1`x`(CommutativeRing)->Join(DistributionCategory(R),etc)`(R)`DISTRO`73134
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`73279
dDoubleFloatMatrix`0`n`()->MatrixCategory(DoubleFloat,DoubleFloatVector,DoubleFloatVector)``DFMAT`75094
dDoubleFloatVector`0`n`()->Join(VectorCategory(DoubleFloat),etc)``DFVEC`75304
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`75513
dElementaryFunctionsGeneralizedUnivariatePowerSeries`3`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,PS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc))->Join(PartialTranscendentalFunctions(PS),etc)`(Coef,Expon,PS)`EFGUSER`75607
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`75694
dElementaryFunctionsUnivariatePuiseuxSeries`4`n`(Coef:Algebra(Fraction(Integer)),ULS:UnivariateLaurentSeriesCategory(Coef),UPXS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),PartialTranscendentalFunctions(ULS))->Join(PartialTranscendentalFunctions(UPXS),etc)`(Coef,ULS,UPXS,EFULS)`EFUPXS`76090
dEnumeration`1`x`special`(a,b,...,c)`ENUM`76486
dEqTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`76642
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`76807
dErrorIndicator`0`n`()->Join(RetractableTo(List(String)),etc)``ERRIND`77046
dEuclideanModularRing`6`n`(S:CommutativeRing,R:UnivariatePolynomialCategory(S),Mod:AbelianMonoid,(R,Mod)->R,(Mod,Mod)->Union(Mod,"failed"),(R,R,Mod)->Union(R,"failed"))->Join(EuclideanDomain,etc)`(S,R,Mod,reduction,merge,exactQuo)`EMR`77096
dExit`0`x`()->SetCategory``EXIT`77294
dExponentialExpansion`4`n`(R:Join(Comparable,etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(QuotientFieldCategory(UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)),etc)`(R,FE,var,cen)`EXPEXPAN`77577
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Join(Field,etc),var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`77859
dExpression`1`x`(Comparable)->Join(FunctionSpace(R),etc)`(R)`EXPR`78619
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`78667
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`79494
dFakePolynomial`0`n`()->Join(CoercibleTo(OutputForm),etc)``FAKEPOL`80308
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`80575
dFileName`0`x`()->FileNameCategory``FNAME`80709
dFiniteBiCPO`1`n`(SetCategory)->BiCPO(S)`(S)`FBICPO`80778
dFiniteCoDcpo`1`n`(SetCategory)->CoDcpo(S)`(S)`FCDCPO`80993
dFiniteCubicalComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`CUBEC`81194
dFiniteDcpo`1`n`(SetCategory)->Dcpo(S)`(S)`FDCPO`81495
dFiniteDivisor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->Join(FiniteDivisorCategory(F,UP,UPUP,R),etc)`(F,UP,UPUP,R)`FDIV`81696
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`81923
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`82118
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`82754
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`83371
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`83958
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`84255
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`84527
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`85009
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`85507
dFiniteLattice`2`n`(S:SetCategory,FiniteBiCPO(S))->Join(Lattice,etc)`(S,p)`FINLAT`86006
dFiniteMoebiusFunction`1`n`(Join(PartialOrder,etc))->Join(SetCategory,etc)`(P)`FMOEBF`86209
dFinitePoset`1`n`(SetCategory)->Poset(S)`(S)`FPOSET`86288
dFiniteSimplicialComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`SIMPC`86489
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`86947
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`87919
dFormat1D`0`n`()->FormatterCategory``FMT1D`91599
dFormat2D`0`n`()->FormatterCategory``FMT2D`91764
dFormatLaTeX`0`n`()->Join(FormatterCategory,etc)``FMTLATEX`91878
dFormatMathJax`0`n`()->Join(FormatterCategory,etc)``FMTMJAX`92285
dFormattedOutput`0`n`()->Join(OutputFormatterCategory,etc)``FMTOUT`92472
dFormatter`1`n`(FormatterCategory)->Join(OutputFormatterCategory,etc)`(F)`FORMAT`0
dFortranCode`0`n`()->Join(SetCategory,etc)``FC`92693
dFortranExpression`3`n`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`92799
dFortranFormat`0`n`()->OutputFormatterCategory``FORTFORM`92956
dFortranProgram`4`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol),SymbolTable)->Join(FortranProgramCategory,etc)`(name,returnType,arguments,symbols)`FORTRAN`93055
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`93225
dFortranTemplate`0`n`()->Join(FileCategory(FileName,String),etc)``FTEM`93359
dFortranType`0`n`()->Join(SetCategory,etc)``FT`93402
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`93508
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`93564
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`93596
dFractionalIdeal`4`n`(R:EuclideanDomain,F:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(F),A:Join(FramedAlgebra(F,UP),etc))->Join(Group,etc)`(R,F,UP,A)`FRIDEAL`93862
dFractionalIdealAsModule`5`n`(R:EuclideanDomain,F:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(F),A:FramedAlgebra(F,UP),Vector(A))->Join(Monoid,etc)`(R,F,UP,A,ibasis)`FRIMOD`93907
dFreeDivisionAlgebra`2`n`(OrderedSet,F:Field)->Join(DivisionRing,etc)`(VAR,F)`FDALG`93957
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`94066
dFreeMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`FMAGMA`94317
dFreeModule`2`n`(Join(SemiRng,etc),S:SetCategory)->Join(BiModule(R,R),etc)`(R,S)`FM`94458
dFreeMonoid`1`n`(SetCategory)->Join(Monoid,etc)`(S)`FMONOID`95257
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`95844
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`95984
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`96045
dFunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`FNGRPH`96090
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`96139
dGeneralizedFiniteMoebiusFunction`2`n`(Join(PartialOrder,etc),R:Field)->etc`(P,R)`GENMOEBF`96671
dGeneralizedUnivariatePowerSeries`4`n`(Coef:Ring,Expon:Join(OrderedAbelianMonoid,etc),Symbol,Coef)->Join(UnivariatePowerSeriesCategory(Coef,Expon),etc)`(Coef,Expon,var,cen)`GENUSER`96743
dGeneralModulePolynomial`6`n`(vl:List(Symbol),R:CommutativeRing,IS:OrderedSet,E:DirectProductCategory(#(vl),NonNegativeInteger),ff:(Record(index:IS,exponent:E),Record(index:IS,exponent:E))->Boolean,P:PolynomialCategory(R,E,OrderedVariableList(vl)))->Join(Module(P),etc)`(vl,R,IS,E,ff,P)`GMODPOL`96812
dGeneralPolynomialSet`4`n`(R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:RecursivePolynomialCategory(R,E,VarSet))->Join(PolynomialSetCategory(R,E,VarSet,P),etc)`(R,E,VarSet,P)`GPOLSET`96845
dGeneralQuaternion`3`n`(R:CommutativeRing,R,R)->QuaternionCategory(R)`(R,p,q)`QUAT2`96881
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:BasicType,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`97153
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`97269
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`97733
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`98029
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`98193
dGroupPresentation`0`n`()->Join(SetCategory,etc)``GROUPP`98304
dGuessOption`0`x`()->Join(SetCategory,etc)``GOPT`98742
dGuessOptionFunctions0`0`n`()->Join(SetCategory,etc)``GOPT0`98833
dHashState`0`n`()->etc``HASHSTAT`98945
dHashTable`3`n`(SetCategory,Entry:Type,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`99012
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`99169
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`99236
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->DirectProductCategory(dim,S)`(dim,S)`HDP`99331
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`99653
dHomology`0`n`()->Join(SetCategory,etc)``HOMOL`100037
dHTMLFormat`0`n`()->Join(SetCategory,etc)``HTMLFORM`100376
dHyperellipticFiniteDivisor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->FiniteDivisorCategory(F,UP,UPUP,R)`(F,UP,UPUP,R)`HELLFDIV`100460
dI16Matrix`0`n`()->MatrixCategory(Integer,I16Vector,I16Vector)``I16MAT`100803
dI16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I16VEC`100996
dI32Matrix`0`n`()->MatrixCategory(Integer,I32Vector,I32Vector)``I32MAT`101187
dI32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I32VEC`101380
dI8Matrix`0`n`()->MatrixCategory(Integer,I8Vector,I8Vector)``I8MAT`101571
dI8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I8VEC`101763
dILogic`0`n`()->Join(BoundedLattice,etc)``ILOGIC`101953
dIncidenceAlgebra`2`n`(Ring,S:SetCategory)->Join(SetCategory,etc)`(R,S)`INCALG`102039
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`102095
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`102177
dIndexedDirectProductObject`2`n`(SetCategory,S:SetCategory)->Join(IndexedDirectProductCategory(A,S),etc)`(A,S)`IDPO`102275
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`102748
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`102956
dIndexedJetBundle`5`n`(Symbol,Symbol,Symbol,PositiveInteger,PositiveInteger)->JetBundleCategory`(x,u,p,n,m)`IJB`103928
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`104069
dIndexedMatrix`3`n`(AbelianMonoid,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`104311
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`104773
dIndexedString`1`n`(Integer)->StringAggregate`(mn)`ISTRING`104830
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`104877
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`105447
dInfiniteCyclicGroup`1`n`(Symbol)->Join(Group,etc)`(g)`INFCG`105551
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`105581
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`105682
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`105906
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`106063
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`106177
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`106738
dInnerTable`3`n`(Key:SetCategory,Entry:Type,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`106851
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`106959
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat),etc)``INFORM`107331
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`107483
dIntegerLocalizedAtPrime`1`n`(PositiveInteger)->Join(EuclideanDomain,etc)`(p)`INTLOCP`107561
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`107770
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`107863
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`108348
dJetBundle`2`n`(List(Symbol),List(Symbol))->Join(JetBundleCategory,etc)`(IVar,DVar)`JBUNDLE`108643
dJetBundleExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBE`108813
dJetBundleLinearFunction`2`n`(JB:JetBundleCategory,D:JetBundleBaseFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JBLF`109147
dJetBundlePolynomial`2`n`(Ring,JB:JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(R,JB)`JBP`109301
dJetBundleSymAna`3`n`(JetBundleCategory,Union(Symbol,List(Symbol)),Union(Symbol,List(Symbol)))->Join(JetBundleCategory,etc)`(JB1,xi,eta)`JBSA`109456
dJetBundleXExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBX`109684
dJetDifferential`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JDIFF`109947
dJetDifferentialEquation`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`JDE`110142
dJetLazyFunction`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JLF`110746
dJetVectorField`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JVF`111657
dKernel`1`n`(Comparable)->Join(CachableSet,etc)`(S)`KERNEL`111827
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`111929
dLambda`1`n`(VarCat)->Join(CoercibleTo(OutputForm),etc)`(UT)`LAMBDA`112026
dLatticeJoinOfMeets`0`n`()->Join(BoundedDistributiveLattice,etc)``LATJOFM`112077
dLatticeMeetOfJoins`0`n`()->Join(BoundedDistributiveLattice,etc)``LATMOFJ`112161
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`112245
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`112312
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`112377
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`112687
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(CoercibleTo(SquareMatrix(n,R)),etc)`(n,R)`LSQM`112821
dLinearMultivariateMatrixPencil`1`n`(Ring)->etc`(R)`LINPEN`113166
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`113225
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`113471
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`113752
dLinearOrdinaryDifferentialOperator3`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->LinearOrdinaryDifferentialOperatorCategory(R)`(Coeff,A,R)`LODO3`114008
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`114223
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`114510
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`114679
dLocalAlgebra`2`n`(Algebra(R),R:CommutativeRing)->Join(Algebra(R),etc)`(A,R)`LA`115064
dLocalize`2`n`(Module(R),R:CommutativeRing)->Join(Module(R),etc)`(M,R)`LO`115202
dLoop`0`n`()->Join(SetCategory,etc)``LOOP`115362
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`115668
dMachineComplex`0`n`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`116397
dMachineFloat`0`n`()->Join(FloatingPointSystem,etc)``MFLOAT`116499
dMachineInteger`0`n`()->Join(FortranMachineTypeCategory,etc)``MINT`116601
dMakeCachableSet`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`MKCHSET`116696
dMapping`1`x`special`(T,S)`MAPPING`116788
dMathMLFormat`0`n`()->Join(SetCategory,etc)``MMLFORM`117028
dMatrix`1`x`(AbelianMonoid)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`117123
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(Ring,etc)`(R,Rep)`MODMON`117224
dModularAlgebraicGcdTools2`0`n`()->ModularAlgebraicGcdOperations(Polynomial(Integer),PrimitiveArray(U32Vector),Record(svz:Symbol,sm:U32Vector,sp:Integer))``MAGCDT2`117459
dModularAlgebraicGcdTools3`0`n`()->Join(ModularAlgebraicGcdOperations(Polynomial(Integer),SparseUnivariatePolynomial(Polynomial(Integer)),Record(svz:List(Symbol),sm:List(Polynomial(Integer)),msizes:List(Integer),sp:Integer)),etc)``MAGCDT3`117569
dModularAlgebraicGcdTools4`0`n`()->ModularAlgebraicGcdOperations(FakePolynomial,SparseUnivariatePolynomial(Polynomial(Integer)),Record(svz:List(Symbol),sm:List(Polynomial(Integer)),msizes:List(Integer),sp:Integer))``MAGCDT4`117646
dModularEvaluation1`0`n`()->ModularEvaluationCategory(Polynomial(Integer),Polynomial(Integer))``MEVAL1`117751
dModularEvaluation2`0`n`()->ModularEvaluationCategory(Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))),FakePolynomial)``MEVAL2`117848
dModularFactorizationTools1`0`n`()->ModularFactorizationOperations(U32Vector,U32Matrix,Integer,List(Record(ind:NonNegativeInteger,poly:U32Vector)))``MODFT1`117969
dModularFactorizationTools3`1`n`(FiniteFieldCategory)->Join(ModularFactorizationOperations(PrimitiveArray(K),PrimitiveTwoDimensionalArray(K),Record(i_mod:Integer,deg:Integer),Record(mod_data:Record(i_mod:Integer,deg:Integer),p_mod:PrimitiveArray(K))),etc)`(K)`MODFT3`118141
dModularField`5`n`(R:CommutativeRing,Mod:AbelianMonoid,(R,Mod)->R,(Mod,Mod)->Union(Mod,"failed"),(R,R,Mod)->Union(R,"failed"))->Join(Field,etc)`(R,Mod,reduction,merge,exactQuo)`MODFIELD`118265
dModularRing`5`n`(R:CommutativeRing,Mod:AbelianMonoid,(R,Mod)->R,(Mod,Mod)->Union(Mod,"failed"),(R,R,Mod)->Union(R,"failed"))->Join(Ring,etc)`(R,Mod,reduction,merge,exactQuo)`MODRING`118485
dModuleMonomial`3`n`(IS:OrderedSet,E:SetCategory,(Record(index:IS,exponent:E),Record(index:IS,exponent:E))->Boolean)->Join(OrderedSet,etc)`(IS,E,ff)`MODMONOM`118693
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`118726
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`118775
dMonoidRing`2`n`(Ring,M:Monoid)->MonoidRingCategory(R,M)`(R,M)`MRING`118898
dMultifunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`MFGRPH`119833
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`119882
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`119929
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`120235
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`120488
dNone`0`n`()->SetCategory``NONE`120670
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`120944
dNonNegativeRational`0`n`()->Join(OrderedAbelianMonoidSup,etc)``NNRAT`121018
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`121098
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`121595
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`121655
dOpenMathConnection`0`x`()->etc``OMCONN`121704
dOpenMathDevice`0`x`()->etc``OMDEV`121841
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`122031
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`122105
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`122170
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`122332
dOperatorHandlers`1`n`(Type)->etc`(HANDLER)`OPHANDL`122381
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`122564
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoid,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`122623
dOrderedExpression`0`n`()->Join(OrderedRing,etc)``OEXPR`122939
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`123009
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`123056
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`123360
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(%,%),etc)`(Kernels,R,var)`ODR`124033
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`124154
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`124380
dOrientedFacet`0`n`()->Join(FacetCategory,etc)``OFACET`124561
dOutputBox`0`n`()->Join(CoercibleTo(OutputForm),etc)``OUTBOX`124886
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`125212
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`125472
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`125657
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`125834
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`125907
dParametricComplexCurve`1`x`(Type)->etc`(VT)`PARCCURV`125975
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`126257
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`126350
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`126441
dPartialDifferentialOperator`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var)`PDO`126525
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`126798
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`127635
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`127878
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`127925
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`128155
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`128372
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`128511
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`128992
dPiDomain`0`x`()->Join(Field,etc)``HACKPI`129446
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`129722
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`129790
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`130155
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`130489
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`130766
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`130822
dPolynomialIdeal`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`131095
dPolynomialRing`2`n`(Join(SemiRng,etc),E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`131593
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`131951
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`132018
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`132153
dPrimitiveTwoDimensionalArray`1`n`(Type)->Join(TwoDimensionalArrayCategory(S,PrimitiveArray(S),PrimitiveArray(S)),etc)`(S)`PRIMMAT2`132283
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`132468
dProductFacet`0`n`()->Join(FacetCategory,etc)``PFACET`132726
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`133059
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`133122
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`134792
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`134877
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`134931
dRadicalFunctionField`5`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),Fraction(UP),NonNegativeInteger)->FunctionFieldCategory(F,UP,UPUP)`(F,UP,UPUP,radicnd,n)`RADFF`134975
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`135040
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`135185
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`135252
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc))->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`135489
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`135624
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`135701
dRegularTriangularSet`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(RegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`REGSET`135923
dResidueRing`5`n`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,FPol:PolynomialCategory(F,Expon,VarSet),List(FPol))->Join(CommutativeRing,etc)`(F,Expon,VarSet,FPol,LFPol)`RESRING`136174
dResult`0`n`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`136376
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`136570
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`136607
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`136703
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`136795
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`136836
dSArgand`0`n`()->Join(SPointCategory,etc)``SARGND`136905
dSBoundary`1`n`(SPointCategory)->etc`(PT)`SBOUND`137038
dSCartesian`1`n`(PositiveInteger)->SPointCategory`(n)`SCRT`138636
dScene`1`n`(SPointCategory)->etc`(PT)`SCENE`138747
dSceneIFS`1`n`(SPointCategory)->etc`(PT)`SCIFS`138835
dSceneNamedPoints`1`n`(SPointCategory)->Join(SetCategory,etc)`(PT)`SCNP`139187
dSConformal`1`n`(PositiveInteger)->Join(SPointCategory,etc)`(n)`SCONF`139391
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`139487
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`139560
dSequence`1`x`(CommutativeRing)->SequenceCategory(R)`(R)`SEQU`139711
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`139820
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`140075
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`140735
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`141787
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat)``SEX`141901
dSExpressionOf`4`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt)`(Str,Sym,Int,Flt)`SEXOF`141969
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->Join(MonogenicAlgebra(R,UP),etc)`(R,UP,M)`SAE`142055
dSimpleCell`2`n`(TheField:RealClosedField,ThePols:UnivariatePolynomialCategory(TheField))->Join(CoercibleTo(OutputForm),etc)`(TheField,ThePols)`SCELL`142617
dSimpleFortranProgram`2`n`(R:OrderedSet,FS:FunctionSpace(R))->Join(FortranProgramCategory,etc)`(R,FS)`SFORT`142802
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`143046
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`143117
dSKICombinators`1`n`(VarCat)->Join(SetCategory,etc)`(UT)`SKICOMB`143219
dSmallOrdinal`0`n`()->Join(OrderedAbelianMonoid,etc)``SORD`143552
dSortedExponentVector`0`n`()->OneDimensionalArrayAggregate(Integer)``SOREXPV`143746
dSparseEchelonMatrix`2`n`(OrderedSet,D:Ring)->Join(CoercibleTo(OutputForm),etc)`(C,D)`SEM`143838
dSparseMultivariatePolynomial`2`n`(Join(SemiRng,etc),VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`144247
dSparseMultivariatePolynomialExpressions`1`n`(Ring)->Join(PolynomialCategory(R,IndexedExponents(NonNegativeInteger),NonNegativeInteger),etc)`(R)`SMPEXPR`144579
dSparseMultivariateSkewPolynomial`4`n`(R:Ring,Var:OrderedSet,(Var)->Automorphism(R),(Var)->(R)->R)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var,sigma,delta)`SKSMP`144835
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`145122
dSparseTable`3`n`(SetCategory,Ent:BasicType,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`145414
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`145530
dSparseUnivariatePolynomial`1`n`(Join(SemiRng,etc))->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`145978
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`146350
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`146809
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`146971
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoid)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`147435
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`147886
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`148503
dSquareFreeRegularTriangularSet`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(SquareFreeRegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`SREGSET`149471
dSquareMatrix`2`n`(NonNegativeInteger,R:Join(SemiRng,etc))->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`149744
dStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`STACK`149888
dSTransform`1`n`(SPointCategory)->etc`(PT)`STR`149932
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`150255
dStreamTaylorSeriesOperations`1`n`(Ring)->Join(StreamTaylorSeriesOperationsCategory(A,A),etc)`(A)`STTAYLOR`150433
dStreamTaylorSeriesOperations2`2`n`(R:Ring,M:LeftModule(R))->StreamTaylorSeriesOperationsCategory(R,M)`(R,M)`STTAYLO2`150626
dString`0`x`()->Join(StringCategory,etc)``STRING`150867
dStringTable`1`n`(Type)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`150914
dSubsetLattice`2`n`(S:SetCategory,List(S))->Join(Lattice,etc)`(S,top)`SETLAT`151025
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`151204
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`151236
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`151302
dSwitch`0`n`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`151349
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`151461
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`151495
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`151565
dTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`151615
dTableau`1`x`(SetCategory)->Join(CoercibleTo(OutputForm),etc)`(S)`TABLEAU`151839
dTaylorSeries`1`x`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`151966
dTaylorSeriesExpansionGeneralized`4`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,UPS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc),UTS:UnivariateTaylorSeriesCategory(Coef))->TaylorSeriesExpansion(Coef,Expon,SingletonAsOrderedSet,UPS,UTS)`(Coef,Expon,UPS,UTS)`TSEREXPG`152097
dTaylorSeriesExpansionLaurent`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->TaylorSeriesExpansion(Coef,Integer,SingletonAsOrderedSet,ULS,UTS)`(Coef,UTS,ULS)`TSEREXPL`152203
dTaylorSeriesExpansionPuiseux`4`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS),UPS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS))->TaylorSeriesExpansion(Coef,Fraction(Integer),SingletonAsOrderedSet,UPS,UTS)`(Coef,UTS,ULS,UPS)`TSEREXPP`152286
dTaylorSeriesExpansionTaylor`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->TaylorSeriesExpansion(Coef,NonNegativeInteger,SingletonAsOrderedSet,UTS,UTS)`(Coef,UTS)`TSEREXPT`152369
dTensorPower`4`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M:FreeModuleCategory(R,B))->Join(TensorPowerCategory(n,R,M),etc)`(n,R,B,M)`TENSPOW`152451
dTensorProduct`5`n`(R:CommutativeRing,B1:OrderedSet,B2:OrderedSet,M1:FreeModuleCategory(R,B1),M2:FreeModuleCategory(R,B2))->Join(TensorProductCategory(R,M1,M2),etc)`(R,B1,B2,M1,M2)`TENSOR`152587
dTexFormat`0`n`()->Join(SetCategory,etc)``TEX`152851
dTexmacsFormat`0`n`()->Join(SetCategory,etc)``TMFORM`153585
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`153682
dTeXTree`0`n`()->etc``TEXTREE`153820
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`153865
dThreeDimensionalMatrix`1`n`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`154009
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`154092
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`154159
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`154335
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`154492
dTuple`1`n`(Type)->Join(CoercibleTo(PrimitiveArray(S)),etc)`(S)`TUPLE`154568
dTwoDimensionalArray`1`n`(Type)->TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R))`(R)`ARRAY2`154684
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`154802
dTyped`0`n`()->VarCat``TYPED`154868
dU16Matrix`0`n`()->MatrixCategory(Integer,U16Vector,U16Vector)``U16MAT`155029
dU16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U16VEC`155224
dU32Matrix`0`n`()->MatrixCategory(Integer,U32Vector,U32Vector)``U32MAT`155417
dU32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U32VEC`155612
dU64Int`0`n`()->Join(Ring,etc)``U64INT`155805
dU8Matrix`0`n`()->MatrixCategory(Integer,U8Vector,U8Vector)``U8MAT`155918
dU8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U8VEC`156112
dUndirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`UDGRPH`156304
dUnion`1`x`special`(A,B,...,C)`UNION`156353
dUnivariateFormalPowerSeries`1`n`(Ring)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef)`UFPS`156502
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`156581
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`157016
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`157339
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`157554
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`158099
dUnivariatePuiseuxSeriesWithExponentialSingularity`4`n`(R:Join(Comparable,etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(FiniteAbelianMonoidRing(UnivariatePuiseuxSeries(FE,var,cen),ExponentialOfUnivariatePuiseuxSeries(FE,var,cen)),etc)`(R,FE,var,cen)`UPXSSING`158426
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`158940
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`159115
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`159566
dUntyped`0`n`()->VarCat``UNTYPED`159681
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`159800
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`159839
dVectorIntegerReconstructor`0`n`()->etc``VECREC2`159966
dVectorModularReconstructor`0`n`()->etc``VECREC1`160292
dVectorSpaceBasis`1`n`(Field)->Join(BasicType,etc)`(R)`VSBASIS`160737
dVoid`0`x`()->etc``VOID`161017
dWeightedGraph`2`n`(SetCategory,W:OrderedAbelianMonoid)->Join(FiniteGraph(S),etc)`(S,W)`WGRPH`161237
dWeightedPolynomials`7`n`(R:Ring,VarSet:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(R,E,VarSet),List(VarSet),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,VarSet,E,P,vl,wl,wtlevel)`WP`161746
dWuWenTsunTriangularSet`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(TriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`WUTSET`162006
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(vl,R),etc)`(vl,R)`XDPOLY`162691
dXHashTable`2`n`(Hashable,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`XHASHTBL`162879
dXmlAttribute`0`n`()->etc``XMLAT`162989
dXmlElement`0`n`()->etc``XMLEL`163155
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`163408
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`163634
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(XAlgebra(R),etc)`(R,E)`XPR`163885
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`164180
o0`0`n`()->%`cAIntervalCategory(R)`has(R,OrderedAbelianMonoid)`0
o0`0`n`()->%`cDistributionCategory(R)``0
o0`0`n`()->%`dInputForm``0
o0`0`n`()->%`dPattern(R)``0
o0`0`n`()->%`dVectorSpaceBasis(R)``0
o0`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o0`0`x`()->%`cAbelianMonoid``0
o0`0`x`()->%`cGradedModule(R,E)``0
o_|_`0`n`()->%`cBoundedJoinSemilattice``164376
o_|_`0`n`()->S`xLogic&(S)``0
o1`0`n`()->%`cJetBundleCategory``0
o1`0`n`()->%`dInputForm``0
o1`0`n`()->%`dPattern(R)``0
o1`0`n`()->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``0
o1`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o1`0`x`()->%`cGradedAlgebra(R,E)``0
o1`0`x`()->%`cMagmaWithUnit``0
o#`1`n`(A)->NonNegativeInteger`xBinaryRecursiveAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xBinaryTreeCategory&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
o-`1`n`(%)->%`cAIntervalCategory(R)`has(R,OrderedAbelianGroup)`164414
o~`1`n`(%)->%`dDirectedGraph(S)``164478
o~`1`n`(%)->%`dILogic``164784
o~`1`n`(%)->%`dMultifunctionGraph(S)``165053
o-`1`n`(%)->%`dOutputForm``165359
o#`1`n`(%)->NonNegativeInteger`dTuple(S)``165412
o#`1`n`(%)->NonNegativeInteger`dXPolynomialRing(R,E)``165480
o#`1`n`(S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o-`1`n`(S)->S`xAbelianGroup&(S)``0
o-`1`n`(S)->S`xAIntervalCategory&(S,R)``0
o~`1`n`(S)->S`xBitAggregate&(S)``0
o-`1`n`(S)->S`xComplexCategory&(S,R)``0
o-`1`n`(S)->S`xGradedModule&(S,R,E)``0
o-`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`1`n`(S)->S`xOctonionCategory&(S,R)``0
o-`1`n`(S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`1`n`(S)->S`xQuaternionCategory&(S,R)``0
o-`1`n`(S)->S`xVectorCategory&(S,R)``0
o-`1`n`(Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``165539
o-`1`x`(%)->%`cAbelianGroup``165646
o-`1`x`(%)->%`cGradedModule(R,E)``165699
o~`1`x`(%)->%`cLogic``165808
o-`1`x`(%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianGroup)`165870
o-`1`x`(%)->%`cVectorCategory(R)`has(R,AbelianGroup)`165931
o~`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``165994
o-`1`x`(%)->%`dOrderedCompletion(R)`has(R,AbelianGroup)`0
o~`1`x`(%)->%`dSingleInteger``166042
o#`1`x`(%)->Integer`cSExpressionCategory(Str,Sym,Int,Flt)``166132
o#`1`x`(%)->NonNegativeInteger`cAggregate`has(%,finiteAggregate)`166181
o=`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xDictionary&(A,S)``0
o<`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o~=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o<=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xHomogeneousAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o~=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o<`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
o/`2`n`(A,R)->%`dLocalAlgebra(A,R)``166244
o=`2`n`(%,%)->Boolean`cAIntervalCategory(R)``166305
o>`2`n`(%,%)->Boolean`cJetBundleCategory``166407
o=`2`n`(%,%)->Boolean`cVarCat``166509
o=`2`n`(%,%)->Boolean`dFortranScalarType``166620
o=`2`n`(%,%)->Boolean`dILogic``166656
o=`2`n`(%,%)->Boolean`dLambda(UT)``166803
o=`2`n`(%,%)->Boolean`dLatticeJoinOfMeets``167092
o=`2`n`(%,%)->Boolean`dLatticeMeetOfJoins``167238
o=`2`n`(%,%)->Boolean`dLinearMultivariateMatrixPencil(R)``167384
o=`2`n`(%,%)->Boolean`dReference(S)``167423
o=`2`n`(%,%)->Boolean`dSKICombinators(UT)``167503
o/`2`n`(%,%)->%`cAIntervalCategory(R)`AND(has(R,Field),has(R,OrderedRing))`167768
o*`2`n`(%,%)->%`cAIntervalCategory(R)`AND(has(R,OrderedSemiGroup),has(R,SemiRng))`167947
o-`2`n`(%,%)->%`cAIntervalCategory(R)`has(R,OrderedAbelianGroup)`168129
o+`2`n`(%,%)->%`cAIntervalCategory(R)``168182
o+`2`n`(%,%)->%`cFiniteGraph(S)``168419
o\/`2`n`(%,%)->%`cJoinSemilattice``168542
o/\`2`n`(%,%)->%`cMeetSemilattice``168600
o*`2`n`(Coef,%)->%`dInnerTaylorSeries(Coef)``168659
o*`2`n`(%,Coef)->%`dInnerTaylorSeries(Coef)``168733
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o+`2`n`(%,%)->%`cSPointCategory``168807
o-`2`n`(%,%)->%`cSPointCategory``169369
o*`2`n`(D,%)->%`dJetLazyFunction(JB,D)``169834
o/`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``169975
o*`2`n`(%,%)->%`dFreeMagma(VarSet)``170056
o*`2`n`(%,%)->%`dIncidenceAlgebra(R,S)``170105
o+`2`n`(%,%)->%`dIncidenceAlgebra(R,S)``170221
o*`2`n`(%,%)->%`dInputForm``170333
o+`2`n`(%,%)->%`dInputForm``170406
o/`2`n`(%,%)->%`dInputForm``170479
o*`2`n`(%,%)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``170552
o*`2`n`(DoubleFloat,%)->%`cSPointCategory``170979
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``171301
o*`2`n`(%,%)->%`dOutputForm``171481
o+`2`n`(%,%)->%`dOutputForm``171535
o-`2`n`(%,%)->%`dOutputForm``171589
o/`2`n`(%,%)->%`dOutputForm``171643
o<=`2`n`(%,%)->%`dOutputForm``171697
o<`2`n`(%,%)->%`dOutputForm``171752
o=`2`n`(%,%)->%`dOutputForm``171806
o>=`2`n`(%,%)->%`dOutputForm``171860
o>`2`n`(%,%)->%`dOutputForm``171915
o^`2`n`(%,%)->%`dOutputForm``171969
o~=`2`n`(%,%)->%`dOutputForm``172023
o*`2`n`(%,%)->%`dPattern(R)``172078
o+`2`n`(%,%)->%`dPattern(R)``172131
o/`2`n`(%,%)->%`dPattern(R)``172184
o^`2`n`(%,%)->%`dPattern(R)``172237
o^`2`n`(%,%)->%`dSmallOrdinal``172290
o*`2`n`(%,%)->%`dVectorSpaceBasis(R)``172436
o+`2`n`(%,%)->%`dVectorSpaceBasis(R)``172510
o+`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``172575
o-`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``172633
o/`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``172692
o+`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``172763
o/`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``172821
o-`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``172889
o^`2`n`(F,F)->F`pCombinatorialFunction(R,F)``172954
o^`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`173009
o*`2`n`(Fraction(Integer),S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Fraction(Integer),S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xDivisionRing&(S)``0
o*`2`n`(Fraction(Integer),S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(Fraction(Integer),S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Fraction(Integer),S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(%,%)->FunctionGraph(Product(S,S))`dFunctionGraph(S)``173079
o*`2`n`(Integer,%)->%`cAIntervalCategory(R)`has(R,OrderedAbelianGroup)`173558
o^`2`n`(%,Integer)->%`dFreeDivisionAlgebra(VAR,F)``173643
o*`2`n`(%,Integer)->%`dInnerTaylorSeries(Coef)``173680
o^`2`n`(%,Integer)->%`dInputForm``173762
o^`2`n`(%,Integer)->%`dOperator(R)``0
o*`2`n`(Integer,S)->S`xAbelianGroup&(S)``0
o*`2`n`(Integer,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Integer,S)->S`xAIntervalCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xDivisionRing&(S)``0
o*`2`n`(Integer,S)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(Integer,S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Integer,S)->S`xModule&(S,R)``0
o*`2`n`(Integer,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Integer,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(Matrix(D),%)->%`dSparseEchelonMatrix(C,D)``173835
o*`2`n`(%,Matrix(F))->%`dFreeDivisionAlgebra(VAR,F)``173904
o*`2`n`(Matrix(F),%)->%`dFreeDivisionAlgebra(VAR,F)``173945
o*`2`n`(Matrix(Fraction(D)),%)->%`dSparseEchelonMatrix(C,D)`has(D,IntegralDomain)`173983
o*`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``174088
o*`2`n`(Matrix(R),%)->%`dLinearMultivariateMatrixPencil(R)``174133
o^`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``174175
o/`2`n`(M,R)->%`dLocalize(M,R)``174291
o*`2`n`(M,Stream(R))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(M,RightModule(R))`0
o*`2`n`(%,%)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``174352
o^`2`n`(%,NonNegativeInteger)->%`cAIntervalCategory(R)`AND(has(R,OrderedMonoid),has(R,SemiRing))`174746
o^`2`n`(%,NonNegativeInteger)->%`dIncidenceAlgebra(R,S)``174977
o^`2`n`(%,NonNegativeInteger)->%`dInputForm``175095
o^`2`n`(%,NonNegativeInteger)->%`dPattern(R)``175168
o*`2`n`(NonNegativeInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAIntervalCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(NonNegativeInteger,S)->S`xModule&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(NonNegativeInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(P,%)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``175221
o*`2`n`(Permutation(Integer),%)->%`dIncidenceAlgebra(R,S)``175252
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``175350
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``175600
o^`2`n`(%,PositiveInteger)->%`cAIntervalCategory(R)`AND(has(R,OrderedSemiGroup),has(R,SemiRng))`175847
o*`2`n`(PositiveInteger,%)->%`cAIntervalCategory(R)``175990
o^`2`n`(%,PositiveInteger)->%`cDistributionCategory(R)``176059
o^`2`n`(%,PositiveInteger)->%`dFreeDivisionAlgebra(VAR,F)``176215
o*`2`n`(PositiveInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianSemiGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAIntervalCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(PositiveInteger,S)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(PositiveInteger,S)->S`xModule&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(PositiveInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,%)->%`cAIntervalCategory(R)`AND(has(R,OrderedSemiGroup),has(R,SemiRng))`176252
o+`2`n`(%,R)->%`cAIntervalCategory(R)``176341
o*`2`n`(%,R)->%`dIncidenceAlgebra(R,S)``176410
o*`2`n`(R,%)->%`dIncidenceAlgebra(R,S)``176503
o/`2`n`(%,R)->%`dLocalAlgebra(A,R)``176596
o/`2`n`(%,R)->%`dLocalize(M,R)``176657
o/`2`n`(%,R)->%`dXPolynomialRing(R,E)`has(R,Field)`176718
o*`2`n`(%,R)->%`dXPolynomialRing(R,E)``176759
o*`2`n`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(R,S)->%`dFreeModule(R,S)``176821
o*`2`n`(R,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(R,S)->S`xAIntervalCategory&(S,R)``0
o*`2`n`(R,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(R,S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(R,S)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(R,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(R,S)->S`xModule&(S,R)``0
o*`2`n`(R,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(R,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(R,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(R,Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``176883
o*`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o/`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o^`2`n`(S,Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o*`2`n`(S,Col)->Col`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,%)->%`dFreeGroup(S)``177023
o*`2`n`(%,S)->%`dFreeGroup(S)``177099
o*`2`n`(S,%)->%`dFreeMonoid(S)``177176
o*`2`n`(%,S)->%`dFreeMonoid(S)``177252
o*`2`n`(S,Fraction(Integer))->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xDivisionRing&(S)``0
o*`2`n`(S,Fraction(Integer))->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(S,Fraction(Integer))->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
o^`2`n`(S,Fraction(Integer))->S`xRealClosedField&(S)``0
o*`2`n`(S,Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o^`2`n`(S,Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,Integer)->%`dFreeGroup(S)``177329
o*`2`n`(S,Integer)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Integer)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Integer)->S`xDivisionRing&(S)``0
o*`2`n`(S,Integer)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(S,Integer)->S`xFunctionSpace2&(S,R,K)``0
o^`2`n`(S,Integer)->S`xGroup&(S)``0
o^`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Integer)->S`xQuaternionCategory&(S,R)``0
o^`2`n`(S,Integer)->S`xRealClosedField&(S)``0
o^`2`n`(S,Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o*`2`n`(S,Integer)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(SMP,%)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``177406
o^`2`n`(S,NonNegativeInteger)->%`dFreeMonoid(S)``177488
o^`2`n`(S,NonNegativeInteger)->S`xAIntervalCategory&(S,R)``0
o^`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,NonNegativeInteger)->S`xDivisionRing&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xGroup&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,PositiveInteger)->S`xAIntervalCategory&(S,R)``0
o^`2`n`(S,PositiveInteger)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,PositiveInteger)->S`xDivisionRing&(S)``0
o^`2`n`(S,PositiveInteger)->S`xGroup&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
o^`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,PositiveInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,PositiveInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o*`2`n`(S,R)->%`dFreeModule(R,S)``177565
o*`2`n`(S,R)->S`xAbelianMonoidRing&(S,R,E)``0
o+`2`n`(S,R)->S`xAIntervalCategory&(S,R)``0
o*`2`n`(S,R)->S`xComplexCategory&(S,R)``0
o/`2`n`(S,R)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,R)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(S,R)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(S,R)->S`xGradedAlgebra&(S,R,E)``0
o/`2`n`(S,R)->S`xLieAlgebra&(S,R)``0
o*`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o/`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,R)->S`xModule&(S,R)``0
o*`2`n`(S,R)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,R)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->S`xVectorCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xAIntervalCategory&(S,R)``0
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o=`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
o<`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o=`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o>`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o<`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o<=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o<`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>=`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o=`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
o<`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
o=`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
o=`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o-`2`n`(S,S)->S`xAbelianGroup&(S)``0
o*`2`n`(S,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,S)->S`xAIntervalCategory&(S,R)``0
o+`2`n`(S,S)->S`xAIntervalCategory&(S,R)``0
o-`2`n`(S,S)->S`xAIntervalCategory&(S,R)``0
o/`2`n`(S,S)->S`xAIntervalCategory&(S,R)``0
o/\`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o*`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o+`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o-`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,S)->S`xDivisionRing&(S)``0
o^`2`n`(S,S)->S`xElementaryFunctionCategory&(S)``0
o/`2`n`(S,S)->S`xField&(S)``0
o*`2`n`(S,S)->S`xFunctionSpace2&(S,R,K)``0
o-`2`n`(S,S)->S`xGradedModule&(S,R,E)``0
o/`2`n`(S,S)->S`xGroup&(S)``0
o*`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o+`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o+`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o-`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o+`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o-`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o^`2`n`(S,S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o+`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o-`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o/`2`n`(Stream(A),Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)``177653
o*`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``177842
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``178049
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``178156
o*`2`n`(Stream(M),R)->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(M,RightModule(R))`178263
o-`2`n`(Stream(M),Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``178403
o+`2`n`(Stream(M),Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``178544
o*`2`n`(Stream(R),Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``178678
o^`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`178868
o*`2`n`(%,%)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``178949
o/`2`n`(%,%)->Union(%,"failed")`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)`has(R,Field)`0
o/`2`n`(%,%)->Union(%,"failed")`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)`has(R,Field)`179343
o^`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`179447
o^`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``179529
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``179596
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``179656
o*`2`n`(%,%)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``179720
o^`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``180114
o*`2`x`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``180213
o=`2`x`(%,%)->Boolean`cBasicType``180299
o~=`2`x`(%,%)->Boolean`cBasicType``180360
o>=`2`x`(%,%)->Boolean`cPartialOrder``180424
o>`2`x`(%,%)->Boolean`cPartialOrder``180477
o<=`2`x`(%,%)->Boolean`cPartialOrder``180520
o<`2`x`(%,%)->Boolean`cPartialOrder``180570
o<`2`x`(%,%)->Boolean`cPermutationCategory(S)``180610
o<`2`x`(%,%)->Boolean`dPermutationGroup(S)``180764
o<=`2`x`(%,%)->Boolean`dPermutationGroup(S)``180867
o-`2`x`(%,%)->%`cAbelianGroup``181077
o+`2`x`(%,%)->%`cAbelianSemiGroup``181172
o^`2`x`(%,%)->%`cElementaryFunctionCategory``181232
o/`2`x`(%,%)->%`cField``181289
o-`2`x`(%,%)->%`cGradedModule(R,E)``181385
o+`2`x`(%,%)->%`cGradedModule(R,E)``181572
o/`2`x`(%,%)->%`cGroup``181752
o*`2`x`(%,%)->%`cMagma``181824
o-`2`x`(%,%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianGroup)`181915
o+`2`x`(%,%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianMonoid)`182034
o*`2`x`(%,%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,SemiRng)`182146
o^`2`x`(%,Coef)->%`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`182262
o*`2`x`(%,Col)->Col`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`182480
o*`2`x`(%,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``182612
o-`2`x`(%,%)->%`cVectorCategory(R)`has(R,AbelianGroup)`182744
o+`2`x`(%,%)->%`cVectorCategory(R)`has(R,AbelianSemiGroup)`182899
o^`2`x`(%,%)->%`dCardinalNumber``183047
o*`2`x`(%,%)->%`dCartesianTensor(minix,dim,R)``183155
o/\`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``183541
o\/`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``183649
o+`2`x`(%,%)->%`dColor``183761
o-`2`x`(%,%)->%`dDatabase(S)``183839
o+`2`x`(%,%)->%`dDatabase(S)``183999
o/`2`x`(%,%)->%`dEquation(S)`has(S,Field)`184077
o+`2`x`(%,%)->%`dOrderedCompletion(R)`has(R,AbelianMonoid)`0
o*`2`x`(DoubleFloat,%)->%`dColor``184200
o+`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``184298
o*`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``184383
o/\`2`x`(%,%)->%`dSingleInteger``184457
o\/`2`x`(%,%)->%`dSingleInteger``184578
o/`2`x`(%,F)->%`cExtensionField(F)``184698
o^`2`x`(%,Fraction(Integer))->%`cRadicalCategory``184756
o*`2`x`(Integer,%)->%`cAbelianGroup``184841
o^`2`x`(%,Integer)->%`cDivisionRing``184910
o/`2`x`(%,Integer)->%`cFloatingPointSystem``184982
o^`2`x`(%,Integer)->%`cGroup``185061
o^`2`x`(%,Integer)->%`cMatrixCategory(R,Row,Col)`has(R,Field)`185133
o*`2`x`(Integer,%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianGroup)`185279
o^`2`x`(%,Integer)->%`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`185322
o*`2`x`(Integer,%)->%`cVectorCategory(R)`has(R,AbelianGroup)`185430
o^`2`x`(%,Integer)->%`dModuleOperator(R,M)``185523
o*`2`x`(NonNegativeInteger,%)->%`cAbelianMonoid``185555
o^`2`x`(%,NonNegativeInteger)->%`cMagmaWithUnit``185623
o^`2`x`(%,NonNegativeInteger)->%`cMatrixCategory(R,Row,Col)`AND(has(R,Monoid),has(R,SemiRng))`185720
o^`2`x`(%,NonNegativeInteger)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``185838
o*`2`x`(%,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``185908
o*`2`x`(PositiveInteger,%)->%`cAbelianSemiGroup``185973
o^`2`x`(%,PositiveInteger)->%`cMagma``186133
o*`2`x`(PositiveInteger,%)->%`dColor``186230
o/`2`x`(%,R)->%`cAbelianMonoidRing(R,E)`has(R,Field)`186328
o*`2`x`(R,%)->%`cDirectProductCategory(dim,R)`has(R,SemiGroup)`186391
o*`2`x`(%,R)->%`cDirectProductCategory(dim,R)`has(R,SemiGroup)`186487
o*`2`x`(%,R)->%`cGradedModule(R,E)``186580
o*`2`x`(R,%)->%`cGradedModule(R,E)``186629
o*`2`x`(R,%)->%`cLeftModule(R)``186677
o/`2`x`(%,R)->%`cLieAlgebra(R)`has(R,Field)`186787
o/`2`x`(%,R)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,Field)`186850
o*`2`x`(R,%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,SemiRng)`186937
o*`2`x`(%,R)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,SemiRng)`187030
o*`2`x`(%,R)->%`cRightModule(R)``187126
o*`2`x`(R,%)->%`cVectorCategory(R)`has(R,SemiGroup)`187237
o*`2`x`(%,R)->%`cVectorCategory(R)`has(R,SemiGroup)`187333
o*`2`x`(%,R)->%`cXFreeAlgebra(vl,R)``187426
o*`2`x`(Row,%)->Row`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`187536
o*`2`x`(Row,%)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``187665
o-`2`x`(%,S)->%`cSegmentCategory(S)`has(S,AbelianGroup)`187794
o+`2`x`(S,%)->%`cSegmentCategory(S)`has(S,AbelianSemiGroup)`187858
o+`2`x`(%,S)->%`cSegmentCategory(S)`has(S,AbelianSemiGroup)`187915
o-`2`x`(%,S)->%`dEquation(S)`has(S,AbelianGroup)`187979
o-`2`x`(S,%)->%`dEquation(S)`has(S,AbelianGroup)`188079
o+`2`x`(%,S)->%`dEquation(S)`has(S,AbelianSemiGroup)`188179
o+`2`x`(S,%)->%`dEquation(S)`has(S,AbelianSemiGroup)`188272
o*`2`x`(%,S)->%`dEquation(S)`has(S,SemiGroup)`188365
o*`2`x`(S,%)->%`dEquation(S)`has(S,SemiGroup)`188463
o/`2`x`(SparseMultivariatePolynomial(R,K),SparseMultivariatePolynomial(R,K))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`188561
o/`2`x`(S,S)->%`cQuotientFieldCategory(S)``188649
o=`2`x`(S,S)->%`dEquation(S)``188723
o-`2`x`(%,%)->Union(%,"failed")`dCardinalNumber``188761
o+`2`x`(UP,%)->%`dFullPartialFractionExpansion(F,UP)``188870
o*`2`x`(vl,%)->%`cXFreeAlgebra(vl,R)``188930
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``189005
oabs`1`n`(%)->%`cAIntervalCategory(R)`has(R,OrderedAbelianGroup)`189147
oabs`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``189307
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``189373
oabs`1`n`(S)->R`xOctonionCategory&(S,R)``0
oabs`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oabs`1`n`(S)->S`xAIntervalCategory&(S,R)``0
oabs`1`n`(S)->S`xComplexCategory&(S,R)``0
oabs`1`n`(S)->S`xOrderedAbelianGroup&(S)``0
oabs`1`x`(%)->%`cComplexCategory(R)`has(R,RealNumberSystem)`189450
oabs`1`x`(%)->%`cOrderedAbelianGroup``189533
oabs`1`x`(%)->%`cSpecialFunctionCategory``189593
oabs`1`x`(%)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`189653
oabs`1`x`(%)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`189779
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``189866
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``189950
oacos`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``190034
oacos`1`n`(F)->F`pElementaryFunction(R,F)``190102
oacos`1`n`(S)->S`xComplexCategory&(S,R)``0
oacos`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``190171
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``190241
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``190311
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``190383
oacos`1`x`(%)->%`cArcTrigonometricFunctionCategory``190457
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``190812
oacosh`1`n`(S)->S`xComplexCategory&(S,R)``0
oacosh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``190893
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``190984
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``191075
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``191163
oacosh`1`x`(%)->%`cArcHyperbolicFunctionCategory``191253
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``191322
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``191410
oacot`1`n`(F)->F`pElementaryFunction(R,F)``191496
oacot`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``191568
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``191641
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``191714
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``191789
oacot`1`x`(%)->%`cArcTrigonometricFunctionCategory``191866
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``191926
oacoth`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``192010
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``192104
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``192198
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``192289
oacoth`1`x`(%)->%`cArcHyperbolicFunctionCategory``192382
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``192454
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``192542
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``192628
oacsc`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oacsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``192699
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``192771
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``192843
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``192917
oacsc`1`x`(%)->%`cArcTrigonometricFunctionCategory``192993
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``193052
oacsch`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``193135
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``193228
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``193321
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``193411
oacsch`1`x`(%)->%`cArcHyperbolicFunctionCategory``193503
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``193574
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``193662
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``193748
oadaptive?`0`n`()->Boolean`dPlot``193794
oadaptive`0`x`()->Boolean`pGraphicsDefaults``193866
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``193943
oadaptive`1`x`(Boolean)->%`dDrawOption``194051
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``194229
oadaptive3D?`0`n`()->Boolean`dPlot3D``194431
oaddALS`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``194506
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xFiniteGraph&(A,S)``0
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xPoset&(A,S)``0
oaddArrow!`2`n`(%,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->%`cFiniteGraph(S)``194643
oaddArrow`3`n`(A,S,S)->A`xPoset&(A,S)``0
oaddArrow`3`n`(%,S,S)->%`cPoset(S)``194712
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(%,String,NonNegativeInteger,NonNegativeInteger)->%`cFiniteGraph(S)``194837
oaddArrow!`4`n`(%,String,S,S)->%`cFiniteGraph(S)``195038
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xFiniteGraph&(A,S)``0
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xPoset&(A,S)``0
oaddArrow!`5`n`(%,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->%`cFiniteGraph(S)``195213
oaddArrows2Din2D`5`n`(%,(PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``195463
oaddBadValue`2`n`(%,Any)->%`dPattern(R)``195597
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``195748
oaddChild!`2`n`(%,%)->Void`dScene(PT)``195893
oaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``195985
oaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``196208
oaddColumnsRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``196344
oaddCube`2`n`(%,CubicalFacet)->%`dFiniteCubicalComplex(VS)``196514
oaddiag`1`n`(Stream(Stream(M)))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``196633
oaddImpliedFaces`1`n`(%)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``196879
oaddImpliedFaces`1`n`(%)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``197161
oadditive?`2`n`(%,PositiveInteger)->Boolean`dDirichletRing(Coef)``197446
oaddMatch`3`n`(Pattern(R),S,%)->%`dPatternMatchResult(R,S)``197548
oaddMatchRestricted`4`n`(Pattern(R),S,%,S)->%`dPatternMatchResult(R,S)``197779
oaddMIN`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``198143
oaddmod`3`x`(%,%,%)->%`cIntegerNumberSystem``198218
oaddNode!`3`n`(%,String,Scene(PT))->%`dSceneNamedPoints(PT)``198292
oaddObject!`2`n`(A,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->A`xPoset&(A,S)``0
oaddObject!`2`n`(A,S)->A`xPoset&(A,S)``0
oaddObject`2`n`(A,S)->A`xPoset&(A,S)``0
oaddObject!`2`n`(%,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->%`cFiniteGraph(S)``198348
oaddObject!`2`n`(%,S)->%`cFiniteGraph(S)``198439
oaddObject`2`n`(%,S)->%`cPoset(S)``198646
oaddPlot1Din2D`4`n`(%,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``198745
oaddPlot1Din2D`4`n`(%,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``198867
oaddPlot1Din2Dparametric`4`n`(%,ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``198989
oaddPlot1Din3Dparametric`4`n`(%,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199133
oaddPlot1Din3Dparametric`4`n`(%,ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199279
oaddPlot2Din3D`5`n`(%,(DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199423
oaddPlot2Din3Dparametric`5`n`(%,(DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199549
oaddPlot2Din3Dparametric`5`n`(%,ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199695
oaddPoint2`2`n`(%,Point(R))->%`dSubSpace(n,R)``199841
oaddPoint`2`n`(%,Point(R))->NonNegativeInteger`dSubSpace(n,R)``200012
oaddPoint`3`n`(%,List(NonNegativeInteger),NonNegativeInteger)->%`dSubSpace(n,R)``200163
oaddPoint`3`n`(%,List(NonNegativeInteger),Point(R))->%`dSubSpace(n,R)``200921
oaddPointLast`4`n`(%,%,Point(R),NonNegativeInteger)->%`dSubSpace(n,R)``201647
oaddPoints!`3`n`(%,String,%)->%`dSceneNamedPoints(PT)``201938
oadd_poly`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``201998
oaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``202081
oaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``202185
oaddRowsColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``202312
oaddSceneArrow`6`n`(%,String,String,PT,Symbol,DoubleFloat)->%`dScene(PT)``202482
oaddSceneArrow`7`n`(%,%,%,PT,Symbol,DoubleFloat,DoubleFloat)->%`dScene(PT)``202613
oaddSceneArrows`4`n`(%,List(List(PT)),Symbol,DoubleFloat)->%`dScene(PT)``202755
oaddSceneBox`2`n`(%,DoubleFloat)->%`dScene(PT)``202878
oaddSceneClip`2`n`(%,SBoundary(PT))->%`dScene(PT)``202983
oaddSceneDef`3`n`(%,String,%)->%`dScene(PT)``203088
oaddSceneGraph`5`n`(%,DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->%`dScene(PT)``203197
oaddSceneGrid`2`n`(%,SBoundary(PT))->%`dScene(PT)``203324
oaddSceneGrid`3`n`(%,DoubleFloat,SBoundary(PT))->%`dScene(PT)``203429
oaddSceneGroup`1`n`(%)->%`dScene(PT)``203544
oaddSceneIFS`2`n`(%,SceneIFS(PT))->%`dScene(PT)``203647
oaddSceneIFS`3`n`(%,List(List(NonNegativeInteger)),List(PT))->%`dScene(PT)``203751
oaddSceneLine`2`n`(%,List(PT))->%`dScene(PT)``203860
oaddSceneLine`4`n`(%,%,%,DoubleFloat)->%`dScene(PT)``203967
oaddSceneLine`5`n`(%,%,%,DoubleFloat,Boolean)->%`dScene(PT)``204087
oaddSceneLines`2`n`(%,List(List(PT)))->%`dScene(PT)``204207
oaddSceneMaterial`2`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->%`dScene(PT)``204316
oaddSceneMaterial`4`n`(%,DoubleFloat,String,String)->%`dScene(PT)``204430
oaddSceneNamedPoints`2`n`(%,SceneNamedPoints(PT))->%`dScene(PT)``204561
oaddScenePattern`4`n`(%,Symbol,NonNegativeInteger,SBoundary(PT))->%`dScene(PT)``204681
oaddSceneRuler`4`n`(%,Symbol,PT,SBoundary(PT))->%`dScene(PT)``204806
oaddSceneShape`2`n`(%,Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->%`dScene(PT)``204929
oaddSceneShape`2`n`(%,SBoundary(PT))->%`dScene(PT)``205040
oaddSceneText`2`n`(%,Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->%`dScene(PT)``205151
oaddSceneText`4`n`(%,List(String),NonNegativeInteger,PT)->%`dScene(PT)``205259
oaddSceneText`4`n`(%,String,NonNegativeInteger,PT)->%`dScene(PT)``205374
oaddSceneTransform`2`n`(%,STransform(PT))->%`dScene(PT)``205489
oaddSceneUse`2`n`(%,String)->%`dScene(PT)``205607
oaddSimplex`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``205712
oadd_slots`2`n`(List(Integer),%)->Void`dVectorModularReconstructor``205858
oaddVertex2`2`n`(%,Record(left:NonNegativeInteger,right:NonNegativeInteger))->%`dProductFacet``205954
oaddVertex`2`n`(%,NonNegativeInteger)->%`dOrientedFacet``205998
oaddWarning`1`n`(OutputForm)->Void`pUnittestCount``206042
oaddWArrow!`5`n`(%,String,NonNegativeInteger,NonNegativeInteger,W)->%`dWeightedGraph(S,W)``206216
oadjacencyMatrix`1`n`(A)->Matrix(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oadjacencyMatrix`1`n`(%)->Matrix(NonNegativeInteger)`cFiniteGraph(S)``206464
oadjoint`1`n`(%)->%`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`n`(%)->%`dPartialDifferentialOperator(R,Var)``206845
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`x`(%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)``206912
oadjoint`1`x`(%)->%`dModuleOperator(R,M)`has(R,CommutativeRing)`206972
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`207045
oadjoint`2`n`(%,%)->%`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(%,%)->%`dModuleOperator(R,M)`has(R,CommutativeRing)`207230
oadmissibleLinearSystem`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``207347
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``207402
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyAi`1`x`(%)->%`cSpecialFunctionCategory``207483
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``207549
oairyAiPrime`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyAiPrime`1`x`(%)->%`cSpecialFunctionCategory``207649
oairyAiPrime`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``207738
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyBi`1`x`(%)->%`cSpecialFunctionCategory``207819
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``207885
oairyBiPrime`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyBiPrime`1`x`(%)->%`cSpecialFunctionCategory``207985
oairyBiPrime`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oAleph`1`x`(NonNegativeInteger)->%`dCardinalNumber``208074
oalgDepHP`2`n`(List(List(AlgebraicNumber)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``208144
oalgDepHP`2`x`(List(List(Fraction(Integer))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(Integer)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(R)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),List(R))->Record(particular:List(Record(ratpart:R,coeffs:Vector(F))),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``208272
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``208362
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(%)->Boolean`cExtensionField(F)``208674
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,%)->Boolean`cTriangularSetCategory(R,E,V,P)``208792
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``208911
oalgebraicDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`x`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicGcd`6`n`(Polynomial(Integer),Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd(MPT,MD,MO)``0
oalgebraicGcd`6`n`(PT,PT,List(PT),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd2(PT,MP,MPT,MD,ME,MO)``209084
oalgebraicOf`2`x`(RightOpenIntervalRootCharacterization(%,SparseUnivariatePolynomial(%)),OutputForm)->%`dRealClosure(TheField)``209323
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``209378
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``209499
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(%)->List(V)`cTriangularSetCategory(R,E,V,P)``209620
oalg_exquo`5`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->Union(SparseMultivariatePolynomial(Integer,Symbol),"failed")`pPrimGCD``209749
oalgextint`5`n`((UP)->UP,(List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F))),(Fraction(UP),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,UP,UPUP,R)``210137
oalgextint`7`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Fraction(SparseUnivariatePolynomial(F)),List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F)``210433
oalgextint_base`3`n`((UP)->UP,(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,UP,UPUP,R)``210664
oalgextint_base`5`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F)``210929
oalgint`5`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(F)->IntegrationResult(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``211078
oalgintegrate`3`n`(R,(UP)->UP,(F)->IntegrationResult(F))->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``211255
oalg_reduce0`4`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),Symbol)->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``211354
oalg_reduce`4`n`(SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``211425
oalg_split_root0`3`n`(F,Kernel(F),Integer)->List(F)`pRootFSSplit(R,F)``211512
oalg_split_roots`3`n`(List(F),Kernel(F),Kernel(F))->List(Record(funs:List(F),nroot:F,npow1:Integer,npow2:Integer))`pRootFSSplit(R,F)``211688
oalgSplitSimple`2`n`(S,(UP)->UP)->Record(num:S,den:UP,derivden:UP,gd:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oalgSplitSimple`2`x`(%,(UP)->UP)->Record(num:%,den:UP,derivden:UP,gd:UP)`cFunctionFieldCategory(F,UP,UPUP)``211869
oalgtower`1`n`(List(S))->List(K)`xFunctionSpace2&(S,R,K)``0
oalgtower`1`n`(S)->List(K)`xFunctionSpace2&(S,R,K)``0
oalgtower`1`x`(%)->List(K)`cFunctionSpace2(R,K)`has(R,IntegralDomain)`212166
oalgtower`1`x`(List(%))->List(K)`cFunctionSpace2(R,K)`has(R,IntegralDomain)`212216
oalg_trial_division`5`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->Boolean`pPrimGCD``212450
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``212726
oall_constructors`0`n`()->Record(categories:List(Symbol),domains:List(Symbol),packages:List(Symbol))`pBrowserInformation``212768
oallDegrees`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``212883
oallDegrees`1`x`(Boolean)->%`dGuessOption``213012
oallIndices`1`n`(%)->List(C)`dSparseEchelonMatrix(C,D)``213264
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`cJetBundleCategory``213369
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`xJetBundleCategory&(S)``213486
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`x`(Polynomial(Fraction(Integer)))->List(%)`cRealClosedField``213603
oallRootsOf`1`x`(Polynomial(Integer))->List(%)`cRealClosedField``213690
oallRootsOf`1`x`(Polynomial(%))->List(%)`cRealClosedField``213777
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(%)`cRealClosedField``213864
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(%)`cRealClosedField``213951
oallRootsOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cRealClosedField``214038
oallRootsOf`1`x`(ThePols)->List(%)`cRealRootCharacterizationCategory(TheField,ThePols)``214125
oallSimpleCells`2`n`(List(ThePols),Symbol)->List(%)`dSimpleCell(TheField,ThePols)``214230
oallSimpleCells`2`n`(ThePols,Symbol)->List(%)`dSimpleCell(TheField,ThePols)``214388
oallSubsets`2`n`(%,NonNegativeInteger)->List(%)`dCubicalFacet``214467
oallSubsets`2`n`(%,NonNegativeInteger)->List(%)`dOrientedFacet``214569
oallSubsets`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(%)`dCubicalFacet``214671
oallSubsets`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(%)`dOrientedFacet``214774
oAlpha`0`n`()->Symbol`pMathematicalSymbols``214877
oalpha`0`n`()->Symbol`pMathematicalSymbols``214946
oalpha`2`n`(NonNegativeInteger,List(NonNegativeInteger))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``215013
oalphabetic`0`x`()->%`dCharacterClass``215152
oalphabetic?`1`x`(%)->Boolean`dCharacter``215278
oalphaHilbert`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``215391
oalphanumeric`0`x`()->%`dCharacterClass``215491
oalphanumeric?`1`x`(%)->Boolean`dCharacter``215621
oalternating`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``215759
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``215865
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``216407
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``216775
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``217015
oaltsupersub`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``217255
oanalyseSymbol`1`n`(SparseEchelonMatrix(JB,D))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``217652
oancestors`2`n`(SExpression,Boolean)->List(Record(form:SExpression,condition:SExpression))`pBrowserInformation``217751
oAnd`2`n`(%,%)->%`dIndexedBits(mn)``217826
oand`2`n`(%,%)->%`dOutputForm``217917
oAND`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``217974
oand`2`x`(%,%)->%`cBitAggregate``218068
oand`2`x`(%,%)->%`dBoolean``218161
oAnd`2`x`(%,%)->%`dSingleInteger``218247
oangerJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``218358
oangerJ`2`x`(%,%)->%`cSpecialFunctionCategory``218417
oannihilate?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oannihilate?`2`n`(S,S)->Boolean`xRng&(S)``0
oannihilate?`2`x`(%,%)->Boolean`cRng``218476
oansatz`0`n`()->JetVectorField(JB1,JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``218568
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``218642
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``218831
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``219020
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``219181
oantiCommutator`2`n`(%,%)->%`cNonAssociativeSemiRng``219342
oantiCommutator`2`n`(S,S)->S`xNonAssociativeSemiRng&(S)``0
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``219401
oantipode`1`x`(%)->%`cHopfAlgebra(R,MxM)``219439
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`x`(%)->Boolean`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianGroup)`219511
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,CommutativeRing)`219718
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,CommutativeRing)`220278
oany?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oany?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oany?`2`x`((S)->Boolean,%)->Boolean`cHomogeneousAggregate(S)`has(%,finiteAggregate)`220852
oany`2`x`(SExpression,None)->%`dAny``221134
oappend!`2`n`(%,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``221318
oappend`2`n`(%,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``221394
oappend`2`x`(%,%)->%`dList(S)``221469
oappendPoint`2`n`(%,Point(DoubleFloat))->Void`dGraphImage``221626
oappendRow!`2`n`(%,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``221817
oappendSupport!`2`n`(%,List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``221908
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dFunctionGraph(S)``221984
oapply`2`n`(%,Partition)->R`cSequenceCategory(R)``222061
oapply`2`x`(Matrix(R),%)->%`cFramedNonAssociativeAlgebra(R)``222201
oapply`2`x`(UPS,Distribution(R))->Distribution(S)`pDistributionPolynomialPackage(R,S,UPS)``222465
oapply`3`n`(%,Integer,Integer)->R`dIncidenceAlgebra(R,S)``222596
oapply`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`dMultifunctionGraph(S)``222653
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``222730
oapply`3`n`(%,P,P)->Integer`dFiniteMoebiusFunction(P)``222887
oapply`3`n`(%,P,P)->R`dGeneralizedFiniteMoebiusFunction(P,R)``222994
oapply`3`n`(%,S,S)->R`dIncidenceAlgebra(R,S)``223101
oapply`3`x`(%,R,R)->R`cUnivariateSkewPolynomialCategory(R)``223262
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``223376
oapplyQuote`2`n`(Symbol,List(S))->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`2`n`(Symbol,S)->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`2`x`(Symbol,%)->%`cFunctionSpace2(R,K)``223504
oapplyQuote`2`x`(Symbol,List(%))->%`cFunctionSpace2(R,K)``223561
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`3`x`(Symbol,%,%)->%`cFunctionSpace2(R,K)``223640
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`4`x`(Symbol,%,%,%)->%`cFunctionSpace2(R,K)``223703
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`5`x`(Symbol,%,%,%,%)->%`cFunctionSpace2(R,K)``223772
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``223847
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``224070
oapply_taylor`2`n`(Stream(Coef),%)->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``224198
oapply_taylor`2`n`(UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``224435
oapplyTaylor`2`n`((UTS)->UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``224497
oapproximants`1`x`(%)->Stream(Fraction(R))`dContinuedFraction(R)``224558
oapproximate`2`n`(%,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(%,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``224757
oapproximate`2`n`(%,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`x`(%,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(^,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`224858
oapproximate`2`x`(%,%)->Fraction(Integer)`cRealClosedField``224993
oapproximate`2`x`(%,Integer)->Integer`cPAdicIntegerCategory(p)``225088
oapproximate`3`x`(ThePols,%,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``225225
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``225351
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``225472
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``225715
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``225763
oarbFunctions`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``225815
oarcsineDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)`has(R,Algebra(Fraction(Integer)))`226038
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`226131
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`226263
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`226410
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``227676
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``227729
oargscript`2`x`(%,List(OutputForm))->%`dSymbol``227783
oargument`1`n`(%)->E`dFourierComponent(E)``227880
oargument`1`n`(%)->List(S)`cKernelCategory(S)``227958
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`x`(%)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`228028
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``228101
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``228231
oargumentList!`3`n`(Symbol,List(Symbol),%)->Void`dTheSymbolTable``228361
oargumentListOf`2`n`(Symbol,%)->List(Symbol)`dTheSymbolTable``228489
oarguments`1`n`(OutputForm)->List(OutputForm)`pOutputFormTools``228564
oarity`1`x`(%)->Union(NonNegativeInteger,"failed")`dBasicOperator``228673
oaromberg`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``228791
oarray2`1`n`(List(List(R)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oarray2`1`x`(List(List(R)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``229562
oarrayStack`1`x`(List(S))->%`dArrayStack(S)``229652
oarrowName`3`n`(A,NonNegativeInteger,NonNegativeInteger)->String`xFiniteGraph&(A,S)``0
oarrowName`3`n`(A,NonNegativeInteger,NonNegativeInteger)->String`xPoset&(A,S)``0
oarrowName`3`n`(%,NonNegativeInteger,NonNegativeInteger)->String`cFiniteGraph(S)``229808
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsFromArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``229925
oarrowsFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsFromNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``229977
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``230061
oarrowsToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``230150
oasec`1`n`(F)->F`pElementaryFunction(R,F)``230234
oasec`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oasec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``230304
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``230375
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``230446
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``230519
oasec`1`x`(%)->%`cArcTrigonometricFunctionCategory``230594
oasech`1`n`(F)->F`pElementaryFunction(R,F)``230652
oasech`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``230734
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``230826
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``230918
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``231007
oasech`1`x`(%)->%`cArcHyperbolicFunctionCategory``231098
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``231168
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``231257
oasimpson`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``231344
oasin`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``232115
oasin`1`n`(F)->F`pElementaryFunction(R,F)``232184
oasin`1`n`(S)->S`xComplexCategory&(S,R)``0
oasin`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``232252
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``232321
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``232390
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``232461
oasin`1`x`(%)->%`cArcTrigonometricFunctionCategory``232534
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``232888
oasinh`1`n`(S)->S`xComplexCategory&(S,R)``0
oasinh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``232968
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``233058
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``233148
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``233235
oasinh`1`x`(%)->%`cArcHyperbolicFunctionCategory``233324
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``233392
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``233481
oassert`2`x`(%,Symbol)->%`dBasicOperator``233568
oassign`2`n`(%,%)->%`dOutputForm``233715
oassign`2`n`(Symbol,Expression(Complex(Float)))->%`dFortranCode``233791
oassign`2`n`(Symbol,Expression(Float))->%`dFortranCode``233874
oassign`2`n`(Symbol,Expression(Integer))->%`dFortranCode``233957
oassign`2`n`(Symbol,Expression(MachineComplex))->%`dFortranCode``234040
oassign`2`n`(Symbol,Expression(MachineFloat))->%`dFortranCode``234123
oassign`2`n`(Symbol,Expression(MachineInteger))->%`dFortranCode``234206
oassign`2`n`(Symbol,Matrix(Expression(Complex(Float))))->%`dFortranCode``234289
oassign`2`n`(Symbol,Matrix(Expression(Float)))->%`dFortranCode``234372
oassign`2`n`(Symbol,Matrix(Expression(Integer)))->%`dFortranCode``234455
oassign`2`n`(Symbol,Matrix(Expression(MachineComplex)))->%`dFortranCode``234538
oassign`2`n`(Symbol,Matrix(Expression(MachineFloat)))->%`dFortranCode``234621
oassign`2`n`(Symbol,Matrix(Expression(MachineInteger)))->%`dFortranCode``234704
oassign`2`n`(Symbol,Matrix(MachineComplex))->%`dFortranCode``234787
oassign`2`n`(Symbol,Matrix(MachineFloat))->%`dFortranCode``234870
oassign`2`n`(Symbol,Matrix(MachineInteger))->%`dFortranCode``234953
oassign`2`n`(Symbol,String)->%`dFortranCode``235036
oassign`2`n`(Symbol,Vector(Expression(Complex(Float))))->%`dFortranCode``235119
oassign`2`n`(Symbol,Vector(Expression(Float)))->%`dFortranCode``235202
oassign`2`n`(Symbol,Vector(Expression(Integer)))->%`dFortranCode``235285
oassign`2`n`(Symbol,Vector(Expression(MachineComplex)))->%`dFortranCode``235368
oassign`2`n`(Symbol,Vector(Expression(MachineFloat)))->%`dFortranCode``235451
oassign`2`n`(Symbol,Vector(Expression(MachineInteger)))->%`dFortranCode``235534
oassign`2`n`(Symbol,Vector(MachineComplex))->%`dFortranCode``235617
oassign`2`n`(Symbol,Vector(MachineFloat))->%`dFortranCode``235700
oassign`2`n`(Symbol,Vector(MachineInteger))->%`dFortranCode``235783
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->%`dFortranCode``235866
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Float))->%`dFortranCode``236036
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Integer))->%`dFortranCode``236206
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->%`dFortranCode``236376
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->%`dFortranCode``236546
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->%`dFortranCode``236716
oassoc`2`x`(Key,%)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``236886
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`237041
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``237229
oassociates?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`x`(%,%)->Boolean`cEntireRing``237374
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``237501
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``237581
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(%,%,%)->%`cNonAssociativeRng``237661
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``237727
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`238064
oatan1`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``238401
oatan`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``238453
oatan`1`n`(F)->F`pElementaryFunction(R,F)``238522
oatan`1`n`(S)->S`xComplexCategory&(S,R)``0
oatan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``238593
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``238665
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``238737
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``238811
oatan`1`x`(%)->%`cArcTrigonometricFunctionCategory``238887
oatan`2`x`(%,%)->%`dDoubleFloat``239300
oatan`2`x`(%,%)->%`dFloat``239385
oatanh`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatElementaryFunctions``239470
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``239516
oatanh`1`n`(S)->S`xComplexCategory&(S,R)``0
oatanh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oatanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``239599
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``239692
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``239785
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``239875
oatanh`1`x`(%)->%`cArcHyperbolicFunctionCategory``239967
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``240038
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``240127
oat_eos?`1`n`(Record(str:String,pos:Integer))->Boolean`pTeXScanner``240214
oatom?`1`n`(%)->Boolean`dILogic``240305
oatom?`1`n`(%)->Boolean`dLambda(UT)``240429
oatom?`1`n`(%)->Boolean`dLatticeJoinOfMeets``240580
oatom?`1`n`(%)->Boolean`dLatticeMeetOfJoins``240704
oatom?`1`n`(%)->Boolean`dSKICombinators(UT)``240828
oatom?`1`n`(OutputForm)->Boolean`pOutputFormTools``240952
oatom?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``241039
oatoms`1`n`(%)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``241105
oatom_to_string`1`n`(OutputForm)->String`pOutputFormTools``241198
oatrapezoidal`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``241264
oatType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``242043
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``242118
oaugment`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``242286
oaugment`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``242384
oaugment`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``242808
oautoReduce`1`n`(List(%))->List(%)`cJetBundleFunctionCategory(JB)``242904
oautoReduce`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(%,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``243053
oaxes`2`x`(%,String)->Void`dThreeDimensionalViewport``243213
oaxes`3`n`(%,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``243435
oaxes`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``243676
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``243928
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``244017
oB1solve`1`n`(Record(mat:Matrix(Fraction(Polynomial(R))),vec:List(Fraction(Polynomial(R))),rank:NonNegativeInteger,rows:List(Integer),cols:List(Integer)))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``244128
oback`1`x`(%)->S`cQueueAggregate(S)``244716
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:%))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``244864
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``245102
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``245140
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``245178
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->%`dBalancedBinaryTree(S)``245310
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``245426
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``245606
oband`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``245769
oband`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``245845
obandedHessian`3`n`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``245927
obandedJacobian`4`n`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``246472
obandMatrix`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`247168
obandMatrix`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`247398
obase`0`n`()->PositiveInteger`dMachineFloat``247628
obase`0`x`()->%`cIntegerNumberSystem``247679
obase`0`x`()->PositiveInteger`cFloatingPointSystem``247767
obase`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``247857
obase`1`x`(%)->List(S)`dPermutationGroup(S)``247918
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``247980
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`2`x`(List(P),(P,P)->Boolean)->Union(Record(bas:%,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``248073
obasicSet`3`n`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`3`x`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:%,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``248378
obasis`0`n`()->Vector(%)`cFramedModule(R)``248559
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`n`()->Vector(S)`xOctonionCategory&(S,R)``0
obasis`1`n`(List(Vector(R)))->%`dVectorSpaceBasis(R)``248622
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``248720
obasis`1`n`(%)->Vector(A)`dFractionalIdealAsModule(R,F,UP,A,ibasis)``248814
obasis`1`n`(%)->Vector(A)`dFractionalIdeal(R,F,UP,A)``248884
obasis`1`x`(PositiveInteger)->Vector(%)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`248960
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`249051
obasis`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``249123
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``249429
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``249674
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``249829
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``249996
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``250120
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``250294
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``250475
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``250651
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``250865
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``250990
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``251165
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``251348
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``251455
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``251505
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``251605
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``251745
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``251833
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``251913
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``252004
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace2&(S,K)``252065
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace2&(S,R,K)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace2(K)``252152
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``252239
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``252551
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`252704
obernoulliDistribution01`1`x`(R)->Distribution(R)`pDistributionPackage(R)``252801
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``252895
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``252994
obesselI`2`x`(%,%)->%`cSpecialFunctionCategory``253203
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``253282
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``253491
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``253590
obesselJ`2`x`(%,%)->%`cSpecialFunctionCategory``253790
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``253860
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``254060
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``254159
obesselK`2`x`(%,%)->%`cSpecialFunctionCategory``254546
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``254626
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``255014
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``255113
obesselY`2`x`(%,%)->%`cSpecialFunctionCategory``255503
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``255574
oBeta`0`n`()->Symbol`pMathematicalSymbols``255964
obeta`0`n`()->Symbol`pMathematicalSymbols``256031
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``256096
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``256181
oBeta`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oBeta`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``256220
oBeta`2`x`(%,%)->%`cSpecialFunctionCategory``256273
oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oBeta`2`x`(Float,Float)->Float`pFloatSpecialFunctions``256340
oBeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``256393
oBeta`3`x`(%,%,%)->%`cSpecialFunctionCategory``256486
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`256547
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obezoutMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``256683
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`256789
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obinary`1`x`(Fraction(Integer))->%`dBinaryExpansion``256942
obinary`2`n`((Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``257016
obinary`2`n`((Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``257334
obinary`2`n`(%,List(%))->%`dInputForm``257652
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``257762
obinarySearch`2`n`(S,(S,S)->Integer)->Union(S,"failed")`pSortedCache(S)``257814
obinarySearchTree`1`x`(List(S))->%`dBinarySearchTree(S)``258030
obinaryTournament`1`x`(List(S))->%`dBinaryTournament(S)``258130
obinaryTree`1`x`(S)->%`dBinaryTree(S)``258248
obinaryTree`3`x`(%,S,%)->%`dBinaryTree(S)``258351
obind`1`n`(%)->%`dLambda(UT)``258481
obinomial`2`n`(%,%)->%`dOutputForm``258572
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``258671
obinomial`2`n`(Integer,Fraction(Integer))->()->Integer`pRandomIntegerDistributions``258844
obinomial`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``258887
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`x`(%,%)->%`cCombinatorialFunctionCategory``259018
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``259210
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(%,%,NonNegativeInteger)->%`cFiniteAbelianMonoidRing(R,E)`has(%,CommutativeRing)`259412
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``259511
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``259749
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``260044
obirth`1`n`(%)->%`dSubSpace(n,R)``260411
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(%,%)->Boolean`cIntegerNumberSystem``260448
obitCoef`2`n`(Integer,NonNegativeInteger)->Integer`pIntegerBits``260544
obits`0`x`()->PositiveInteger`cFloatingPointSystem``260649
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`260714
obits`2`x`(NonNegativeInteger,Boolean)->%`dBits``260807
obitTruth`2`n`(Integer,NonNegativeInteger)->Boolean`pIntegerBits``260878
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``261000
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``261098
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``261255
oblankSeparate`1`n`(List(%))->%`dOutputForm``261419
oblock`1`n`(List(%))->%`dFortranCode``261514
oblockConcat`1`n`(List(List(S)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockConcat`1`x`(List(List(%)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``261604
oblockElimination`5`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``261749
oblockElimination`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),Boolean,List(NonNegativeInteger),List(NonNegativeInteger),Boolean)->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``261848
oblockElimination`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`262226
oblockSplit`3`n`(M,List(NonNegativeInteger),PositiveInteger)->List(List(M))`pMatrixManipulation(R,Row,Col,M)``262562
oblockSplit`3`n`(M,PositiveInteger,List(NonNegativeInteger))->List(List(M))`pMatrixManipulation(R,Row,Col,M)``262681
oblockSplit`3`n`(S,List(NonNegativeInteger),List(NonNegativeInteger))->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`n`(S,PositiveInteger,PositiveInteger)->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`x`(%,List(NonNegativeInteger),List(NonNegativeInteger))->List(List(%))`cTwoDimensionalArrayCategory(R,Row,Col)``262800
oblockSplit`3`x`(%,PositiveInteger,PositiveInteger)->List(List(%))`cTwoDimensionalArrayCategory(R,Row,Col)``263161
oblockStructure`1`n`(%)->Matrix(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``263404
oblue`0`x`()->%`dColor``263687
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``263762
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``263846
obooleanConvolution`2`n`(%,%)->%`cDistributionCategory(R)``263938
obooleanCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``264052
obooleanCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``264175
obooleanCumulantFromJacobi`3`x`(Integer,Sequence(R),Sequence(R))->R`dDistribution(R)``264281
obooleanCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``264430
oboolWordPermute`2`n`(NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``264536
oboolWordPermute`3`n`(List(List(Boolean)),NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``264669
obottom`1`n`(Stream(List(R)))->Stream(R)`pPathArrayPackage(R)``264710
obottom`1`x`(%)->S`cDequeueAggregate(S)``264775
obound`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``264856
oboundary`1`n`(%)->%`dFiniteCubicalComplex(VS)``265071
oboundary`1`n`(%)->%`dFiniteSimplicialComplex(VS)``265285
oboundary`1`n`(%)->List(%)`dCubicalFacet``265480
oboundary`1`n`(%)->List(%)`dOrientedFacet``265549
oboundary`2`n`(%,DoubleFloat)->SBoundary(PT)`dScene(PT)``265618
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`266491
obox`1`n`(%)->%`dOutputForm``266552
obox`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``266601
obox`1`n`(S)->S`xExpressionSpace2&(S,K)``0
obox`1`n`(String)->%`dOutputBox``266782
obox`1`x`(%)->%`cExpressionSpace2(K)``266852
oboxBoundary`2`n`(PT,PT)->%`dSBoundary(PT)``267085
obrace`1`n`(%)->%`dOutputForm``267307
obrace`1`n`(List(%))->%`dOutputForm``267394
obracket`1`n`(%)->%`dOutputForm``267525
obracket`1`n`(List(%))->%`dOutputForm``267606
obracket`3`n`(String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``267740
obracket`3`n`(String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``267978
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pQuasiComponentPackage(R,E,V,P,TS)``268216
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``268336
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``268456
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``268532
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``268611
obright`1`x`(Color)->%`dPalette``268696
obright`1`x`(List(String))->List(String)`pDisplayPackage``268784
obright`1`x`(String)->List(String)`pDisplayPackage``268882
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``268971
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``269129
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``269426
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``269522
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``269659
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``269795
obsolve`5`n`(Matrix(GR),List(Fraction(Polynomial(R))),NonNegativeInteger,String,Integer)->Record(rgl:List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),rgsz:Integer)`pParametricLinearEquations(R,Var,Expon,GR)``269951
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``270199
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`270712
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``270755
obuild`3`n`(R,IS,E)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``270801
oBumInSepFFE`1`n`(Record(flag:Union("nil","sqfr","irred","prime"),factor:P,exponent:NonNegativeInteger))->Record(flag:Union("nil","sqfr","irred","prime"),factor:P,exponent:NonNegativeInteger)`pUnivariatePolynomialSquareFree(RC,P)``270844
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``270957
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``271122
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``271262
oBY`2`x`(%,Integer)->%`cSegmentCategory(S)``271403
ocAcos`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`271502
ocAcosh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`271628
ocAcot`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`271771
ocAcoth`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`271900
ocAcsc`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`272046
ocAcsch`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`272174
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``272319
ocall`1`n`(String)->%`dFortranCode``272361
ocanonicalBasis`1`n`(NonNegativeInteger)->%`dVectorSpaceBasis(R)``272436
ocanonicalIfCan`2`n`(MPT,MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``272537
ocanonicalMoebiusFunction`1`n`(List(P))->%`dGeneralizedFiniteMoebiusFunction(P,R)``272641
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``272720
ocar`1`x`(%)->%`cSExpressionCategory(Str,Sym,Int,Flt)``272829
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(%)->NonNegativeInteger`cFiniteSetAggregate(S)``272881
ocarmichaelLambda`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``272989
ocartesian`1`n`(List(List(T)))->List(List(T))`pListPackage(T)``273218
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``273338
ocartesian`2`n`(%,%)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``273420
ocartesian`2`n`(%,%)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``273872
ocartesian`2`n`(%,%)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``273992
ocartesian`2`n`(%,%)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``274411
ocartesianPower`2`n`(List(T),NonNegativeInteger)->List(List(T))`pListPackage(T)``274830
ocAsec`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`274926
ocAsech`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275052
ocAsin`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275195
ocAsinh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275319
ocatalan`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``275460
ocAtan`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275524
ocAtanh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275651
ocCos`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275795
ocCosh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275917
ocCot`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`276051
ocCoth`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`276176
ocCsc`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`276313
ocCsch`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`276437
ocdr`1`x`(%)->%`cSExpressionCategory(Str,Sym,Int,Flt)``276573
oceiling`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``276636
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(%)->%`cRealNumberSystem``276715
oceiling`1`x`(%)->%`cSpecialFunctionCategory``276778
oceiling`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`276857
ocenter`1`n`(%)->%`dOutputForm``276936
ocenter`1`x`(%)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``276998
ocenter`2`n`(%,Integer)->%`dOutputForm``277085
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``277166
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``277444
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``277753
ocExp`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`277958
ochain`1`n`(%)->ChainComplex`dDeltaComplex(VS)``278085
ochain`1`n`(%)->ChainComplex`dFiniteCubicalComplex(VS)``278168
ochain`1`n`(%)->ChainComplex`dFiniteSimplicialComplex(VS)``278251
ochainComplex`1`n`(List(Matrix(Integer)))->%`dChainComplex``278447
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``278466
ochangeBase`3`n`(Integer,Integer,PositiveInteger)->%`dMachineFloat``278575
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``278632
ochangeExprLength`1`n`(Integer)->Void`pFortranCodeTools``278783
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``278865
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``278969
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``279073
ochar`1`x`(Integer)->%`dCharacter``279213
ochar`1`x`(String)->%`dCharacter``279353
ocharacter?`1`n`(%)->Boolean`dFortranScalarType``279434
ocharacteristic`0`n`()->NonNegativeInteger`xComplexCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xFunctionSpace2&(S,R,K)``0
ocharacteristic`0`n`()->NonNegativeInteger`xIntegerNumberSystem&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
ocharacteristic`0`n`()->NonNegativeInteger`xOctonionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuaternionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuotientFieldCategory&(A,S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealClosedField&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealNumberSystem&(S)``0
ocharacteristic`0`x`()->NonNegativeInteger`cNonAssociativeRing``279530
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``279601
ocharacteristicPolynomial`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pInnerEigenPackage(F)``279710
ocharacteristicPolynomial`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial(R)``279813
ocharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ocharacteristicPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`x`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``279918
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``280099
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``280272
ocharacteristicPolynomial`1`x`(%)->UP`cFiniteRankAlgebra(R,UP)``280432
ocharacteristicPolynomial`2`n`(Matrix(R),R)->R`pCharacteristicPolynomial(R)``280581
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``280863
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``281040
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``281209
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``281359
ocharacteristicSerie`1`x`(List(P))->List(%)`dWuWenTsunTriangularSet(R,E,V,P)``281641
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(%)`dWuWenTsunTriangularSet(R,E,V,P)``281767
ocharacteristicSet`1`x`(List(P))->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``282138
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``282260
ocharClass`1`x`(List(Character))->%`dCharacterClass``282904
ocharClass`1`x`(String)->%`dCharacterClass``283023
ocharlierC`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``283144
ocharlierC`3`x`(%,%,%)->%`cSpecialFunctionCategory``283205
ochar_pol`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pCharacteristicPolynomial2(F)``283266
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``283340
ochar_pol_via_berkovitz`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial4(R)``283451
ochar_pol_via_den_interpolation`1`n`(Matrix(Fraction(R)))->SparseUnivariatePolynomial(Fraction(R))`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`283539
ochar_pol_via_interpolation`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial3(R)``283635
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`x`(%)->%`cFiniteFieldCategory``283727
ocharthRoot`1`x`(%)->Union(%,"failed")`cPolynomialFactorizationExplicit`has(%,CharacteristicNonZero)`283854
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``283973
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``284259
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``284445
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``284726
ocheck`1`n`(List(GuessOption))->Union("skip","MonteCarlo","deterministic")`dGuessOptionFunctions0``284907
ocheck`1`x`(%)->%`cThreeSpaceCategory(R)``285168
ocheck`1`x`(Union("skip","MonteCarlo","deterministic"))->%`dGuessOption``285292
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``285576
ocheckExtraValues`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``285612
ocheckExtraValues`1`x`(Boolean)->%`dGuessOption``285767
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``285960
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``286209
ocheckOptions`1`n`(List(GuessOption))->Void`dGuessOptionFunctions0``286474
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``286580
ocheck_sol1a`6`n`(Vector(U32Vector),List(U32Vector),(List(U32Vector),Integer,Integer)->Vector(U32Vector),Integer,Integer,Integer)->U32Vector`pModularHermitePade``286700
ocheckType`1`n`(String)->String`pFortranCodeTools``286789
oChi`0`n`()->Symbol`pMathematicalSymbols``286816
ochi`0`n`()->Symbol`pMathematicalSymbols``286881
oChi`1`n`(F)->F`pLiouvillianFunction(R,F)``286944
oChi`1`x`(%)->%`cLiouvillianFunctionCategory``287004
oChi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``287134
oChi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oChi`1`x`(Float)->Float`pFloatLiouvilianFunctions``287194
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild`2`n`(%,NonNegativeInteger)->%`dSubSpace(n,R)``287254
ochild?`2`x`(%,%)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`287294
ochildren`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(%)->List(%)`dSubSpace(n,R)``287373
ochildren`1`x`(%)->List(%)`cRecursiveAggregate(S)``287413
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``287522
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``287763
ochineseRemainder`3`n`(List(UP),List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))),NonNegativeInteger)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pChineseRemainderToolsForIntegralBases(K,R,UP)``287965
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``288021
ochinese_update`3`n`(U32Vector,Integer,%)->Void`dVectorIntegerReconstructor``288217
ochinese_update`3`n`(U32Vector,Integer,%)->Void`dVectorModularReconstructor``288301
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``288417
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``288459
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``288500
ochvar`2`n`(List(UPUP),UPUP)->Record(func:List(UPUP),poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``288538
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``288629
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``288998
oCi`1`x`(%)->%`cLiouvillianFunctionCategory``289053
oCi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``289177
oCi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oCi`1`x`(Float)->Float`pFloatLiouvilianFunctions``289232
ocircle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``289287
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`cJetBundleCategory``289353
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`xJetBundleCategory&(S)``289467
oclass`1`n`(%)->NonNegativeInteger`cJetBundleCategory``289581
oclass`1`n`(%)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``289699
oclass`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oclass`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oclassicalConvolution`2`n`(%,%)->%`cDistributionCategory(R)``289810
oclassicalCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``289928
oclassicalCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``290038
oclearCache`0`n`()->Void`pSortedCache(S)``290143
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``290189
oclearDenominator`1`n`(P)->P`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``290365
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``290514
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``290690
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
oclearFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``290835
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``290907
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``291001
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``291070
oclear_used_intrinsics`0`n`()->Void`pFortranCodeTools``291150
oclexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``291218
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``291799
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``292066
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``292339
oclip`1`x`(Boolean)->%`dDrawOption``292617
oclip`1`x`(List(Segment(Float)))->%`dDrawOption``292779
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``292937
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``293244
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``293453
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``293800
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``294177
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``294271
oclipSurface`2`x`(%,String)->Void`dThreeDimensionalViewport``294436
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``294732
ocLog`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295062
oclose!`1`n`(%)->Void`dBasicFile``295187
oclose!`1`n`(%)->Void`dBasicKeyedAccessFile``295217
oclose`1`n`(%)->Void`dTwoDimensionalViewport``295268
oclose!`1`x`(%)->%`cFileCategory(Name,S)``295466
oclose!`1`x`(%)->%`dLibrary``295544
oclose`1`x`(%)->Void`dThreeDimensionalViewport``295625
oclose`2`n`(%,Boolean)->Boolean`dSubSpaceComponentProperty``295827
ocloseComponent`3`n`(%,List(NonNegativeInteger),Boolean)->%`dSubSpace(n,R)``295867
oclosed?`1`n`(%)->Boolean`dSubSpaceComponentProperty``296311
oclosed?`1`n`(%)->Boolean`dTubePlot(Curve)``296350
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dDirectedGraph(S)``296429
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dMultifunctionGraph(S)``296555
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dUndirectedGraph(S)``296675
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dWeightedGraph(S,W)``296719
oclosedCurve?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``296763
oclosedCurve`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``296995
oclosedCurve`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``297257
oclosedCurve`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``297593
oclosedCurve`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``298110
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dDirectedGraph(S)``298378
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dFunctionGraph(S)``298498
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dMultifunctionGraph(S)``298624
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dUndirectedGraph(S)``298665
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dWeightedGraph(S,W)``298706
ocmult`1`n`(List(SparseMultivariatePolynomial(R0,Kernel(F))))->SparseMultivariatePolynomial(R0,Kernel(F))`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``298747
ocnlexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``298802
ocoAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``299395
ocoAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``299511
ocoboundary`3`n`(%,NonNegativeInteger,List(VS))->List(VS)`dCoChainComplex(VS)``299627
ocoChain`1`n`(%)->CoChainComplex(VS)`dDeltaComplex(VS)``299695
ocoChain`1`n`(%)->CoChainComplex(VS)`dFiniteSimplicialComplex(VS)``299778
ocoChainComplex`1`n`(ChainComplex)->%`dCoChainComplex(VS)``299982
ocoChainComplex`1`n`(List(Matrix(Integer)))->%`dCoChainComplex(VS)``300026
ococyclotomic_decomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicUtilities``300045
ocode`1`n`(%)->Union(nullBranch:"null",assignmentBranch:Record(var:Symbol,arrayIndex:List(Polynomial(Integer)),rand:Record(ints2Floats?:Boolean,expr:OutputForm)),arrayAssignmentBranch:Record(var:Symbol,rand:OutputForm,ints2Floats?:Boolean),conditionalBranch:Record(switch:Switch,thenClause:%,elseClause:%),returnBranch:Record(empty?:Boolean,value:Record(ints2Floats?:Boolean,expr:OutputForm)),blockBranch:List(%),commentBranch:List(String),callBranch:String,forBranch:Record(range:SegmentBinding(Polynomial(Integer)),span:Polynomial(Integer),body:%),labelBranch:SingleInteger,loopBranch:Record(switch:Switch,body:%),commonBranch:Record(name:Symbol,contents:List(Symbol)),printBranch:List(OutputForm))`dFortranCode``300159
ocoef`2`n`(%,E)->R`dXPolynomialRing(R,E)``300256
ocoef`2`x`(%,FreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``300373
ocoef`2`x`(%,%)->R`cXFreeAlgebra(vl,R)``300456
ocoef`2`x`(XRecursivePolynomial(VarSet,R),%)->R`cFreeLieAlgebra(VarSet,R)``300585
ocoefChoose`3`n`(Integer,P,List(Record(factor:P,exponent:NonNegativeInteger)))->P`pMultivariateSquareFree(E,OV,R,P)``300718
ocoefficient`2`n`(%,%)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``300759
ocoefficient`2`n`(%,Integer)->R`dLaurentPolynomial(R,UP)``300945
ocoefficient`2`n`(%,JB)->D`dJetDifferential(JB,D)``300991
ocoefficient`2`n`(%,JB)->D`dJetVectorField(JB,D)``301097
ocoefficient`2`n`(%,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``301190
ocoefficient`2`n`(%,%)->R`dAntiSymm(R,lVar)``301264
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,IndexedExponents(Var))->Coef`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`2`x`(%,E)->R`cAbelianMonoidRing(R,E)``301482
ocoefficient`2`x`(%,List(PositiveInteger))->K`dCliffordAlgebra(n,K,bLin)``301648
ocoefficient`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``301766
ocoefficient`2`x`(%,S)->R`cFreeModuleCategory(R,S)``301840
ocoefficient`3`n`(%,List(VarSet),List(NonNegativeInteger))->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``301926
ocoefficient`3`n`(S,List(Var),List(NonNegativeInteger))->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(S,Var,NonNegativeInteger)->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(%,VarSet,NonNegativeInteger)->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``302137
ocoefficient`3`x`(%,List(Var),List(NonNegativeInteger))->%`cMultivariateTaylorSeriesCategory(Coef,Var)``302293
ocoefficient`3`x`(%,Var,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``302427
ocoefficients`1`n`(A)->List(R)`xFreeModuleCategory&(A,R,S)``0
ocoefficients`1`n`(%)->List(D)`dJetDifferential(JB,D)``302513
ocoefficients`1`n`(%)->List(D)`dJetVectorField(JB,D)``302582
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(%)->Stream(Coef)`dInnerTaylorSeries(Coef)``302649
ocoefficients`1`n`(%)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``302986
ocoefficients`1`x`(%)->List(R)`cFreeModuleCategory(R,S)``303132
ocoefficients`1`x`(%)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``303208
ocoefficientSet`1`n`(SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
ocoeffs0`3`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``303360
ocoeffs1`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``303419
ocoerce`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xBinaryRecursiveAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDictionaryOperations&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteGraph&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteSetAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xHomogeneousAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOneDimensionalArrayAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xPoset&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(%)->Complex(DoubleFloat)`dSArgand``0
ocoerce`1`n`(Complex(DoubleFloat))->%`dSArgand``0
ocoerce`1`n`(%)->Complex(Float)`dMachineComplex``303621
ocoerce`1`n`(Complex(Float))->%`dMachineComplex``303686
ocoerce`1`n`(Complex(Integer))->%`dMachineComplex``303752
ocoerce`1`n`(Complex(MachineFloat))->%`dMachineComplex``303818
ocoerce`1`n`(Complex(MachineInteger))->%`dMachineComplex``303884
ocoerce`1`n`(D)->%`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(D)->%`dJetLazyFunction(JB,D)``303950
ocoerce`1`n`(%)->D`dJetLazyFunction(JB,D)``304105
ocoerce`1`n`(%)->DeltaComplex(VS)`dFiniteCubicalComplex(VS)``304311
ocoerce`1`n`(%)->DeltaComplex(VS)`dFiniteSimplicialComplex(VS)``304363
ocoerce`1`n`(E)->%`dXPolynomialRing(R,E)``304418
ocoerce`1`n`(Equation(Expression(Complex(Float))))->%`dFortranProgram(name,returnType,arguments,symbols)``304461
ocoerce`1`n`(Equation(Expression(Float)))->%`dFortranProgram(name,returnType,arguments,symbols)``304502
ocoerce`1`n`(Equation(Expression(Integer)))->%`dFortranProgram(name,returnType,arguments,symbols)``304543
ocoerce`1`n`(Equation(Expression(MachineComplex)))->%`dFortranProgram(name,returnType,arguments,symbols)``304584
ocoerce`1`n`(Equation(Expression(MachineFloat)))->%`dFortranProgram(name,returnType,arguments,symbols)``304625
ocoerce`1`n`(Equation(Expression(MachineInteger)))->%`dFortranProgram(name,returnType,arguments,symbols)``304666
ocoerce`1`n`(Expression(Complex(Float)))->%`dFortranProgram(name,returnType,arguments,symbols)``304707
ocoerce`1`n`(Expression(Float))->%`dFortranProgram(name,returnType,arguments,symbols)``304747
ocoerce`1`n`(Expression(Integer))->%`dFortranProgram(name,returnType,arguments,symbols)``304787
ocoerce`1`n`(%)->Expression(Integer)`dJetBundleExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->%`dJetBundleExpression(JB)``0
ocoerce`1`n`(%)->Expression(Integer)`dJetBundleXExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->%`dJetBundleXExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->Expression(%)`dMachineInteger``304827
ocoerce`1`n`(Expression(MachineComplex))->%`dFortranProgram(name,returnType,arguments,symbols)``304900
ocoerce`1`n`(Expression(MachineFloat))->%`dFortranProgram(name,returnType,arguments,symbols)``304940
ocoerce`1`n`(Expression(MachineInteger))->%`dFortranProgram(name,returnType,arguments,symbols)``304980
ocoerce`1`n`(%)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``305020
ocoerce`1`n`(F)->%`dFreeDivisionAlgebra(VAR,F)``305060
ocoerce`1`n`(FinitePoset(S))->%`dDirectedGraph(S)``305196
ocoerce`1`n`(FinitePoset(S))->%`dUndirectedGraph(S)``305238
ocoerce`1`n`(FinitePoset(S))->%`dWeightedGraph(S,W)``305280
ocoerce`1`n`(%)->FiniteSimplicialComplex(VS)`dDeltaComplex(VS)``305322
ocoerce`1`n`(%)->Float`dMachineFloat``305383
ocoerce`1`n`(FortranCode)->%`cFortranFunctionCategory``305453
ocoerce`1`n`(FortranCode)->%`cFortranMatrixCategory``305570
ocoerce`1`n`(FortranCode)->%`cFortranMatrixFunctionCategory``305687
ocoerce`1`n`(FortranCode)->%`cFortranVectorCategory``305804
ocoerce`1`n`(FortranCode)->%`cFortranVectorFunctionCategory``305921
ocoerce`1`n`(FortranCode)->%`dFortranProgram(name,returnType,arguments,symbols)``306038
ocoerce`1`n`(FortranScalarType)->%`dFortranType``306079
ocoerce`1`n`(FPol)->%`dResidueRing(F,Expon,VarSet,FPol,LFPol)``306141
ocoerce`1`n`(Fraction(Integer))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Fraction(Integer))->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Fraction(Integer))->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Fraction(Integer))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Fraction(Polynomial(Fraction(R))))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Fraction(Polynomial(R)))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Fraction(R))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(%)->FreeMagma(VarSet)`dLyndonWord(VarSet)``306228
ocoerce`1`n`(FreeMonoid(VAR))->%`dFreeDivisionAlgebra(VAR,F)``306331
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dFreeMagma(VarSet)``306465
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dLyndonWord(VarSet)``306593
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``306697
ocoerce`1`n`(GraphImage)->TwoDimensionalViewport`pViewportPackage``306846
ocoerce`1`n`(Integer)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Integer)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Integer)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Integer)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Integer)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Integer)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xNonAssociativeRing&(S)``0
ocoerce`1`n`(Integer)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Integer)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(JB)->%`cJetBundleFunctionCategory(JB)``306984
ocoerce`1`n`(K)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Lambda(UT))->SKICombinators(UT)`pcompUtil(UT)``307066
ocoerce`1`n`(%)->LatticeMeetOfJoins`dLatticeJoinOfMeets``307787
ocoerce`1`n`(LatticeMeetOfJoins)->%`dLatticeJoinOfMeets``307846
ocoerce`1`n`(LiePolynomial(VarSet,R))->%`dXPBWPolynomial(VarSet,R)``307905
ocoerce`1`n`(List(FortranCode))->%`cFortranFunctionCategory``307947
ocoerce`1`n`(List(FortranCode))->%`cFortranMatrixCategory``308069
ocoerce`1`n`(List(FortranCode))->%`cFortranMatrixFunctionCategory``308191
ocoerce`1`n`(List(FortranCode))->%`cFortranVectorCategory``308313
ocoerce`1`n`(List(FortranCode))->%`cFortranVectorFunctionCategory``308435
ocoerce`1`n`(List(FortranCode))->%`dFortranProgram(name,returnType,arguments,symbols)``308557
ocoerce`1`n`(List(Integer))->%`dExtAlgBasis``308599
ocoerce`1`n`(%)->List(Integer)`dPartition``308866
ocoerce`1`n`(List(List(Point(DoubleFloat))))->%`dGraphImage``308934
ocoerce`1`n`(%)->List(R)`cAIntervalCategory(R)``309394
ocoerce`1`n`(List(S))->%`dDirectedGraph(S)``309457
ocoerce`1`n`(List(%))->SparseEchelonMatrix(JB,D)`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(%)->List(String)`dXmlElement``309492
ocoerce`1`n`(%)->List(Vector(R))`dVectorSpaceBasis(R)``309690
ocoerce`1`n`(MachineInteger)->%`dMachineFloat``309753
ocoerce`1`n`(%)->Matrix(D)`dSparseEchelonMatrix(C,D)``309825
ocoerce`1`n`(Matrix(MachineFloat))->%`cFortranMatrixCategory``309902
ocoerce`1`n`(%)->Matrix(R)`dRectangularMatrix(m,n,R)``309979
ocoerce`1`n`(%)->Matrix(R)`dSquareMatrix(ndim,R)``310093
ocoerce`1`n`(M)->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``310206
ocoerce`1`n`(%)->OutputForm`cSPointCategory``310295
ocoerce`1`n`(%)->OutputForm`dFortranCode``310309
ocoerce`1`n`(%)->OutputForm`dFortranType``310371
ocoerce`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``310434
ocoerce`1`n`(%)->OutputForm`dGraphImage``310575
ocoerce`1`n`(%)->OutputForm`dJetDifferentialEquation(JB,D)``310733
ocoerce`1`n`(%)->OutputForm`dLinearMultivariateMatrixPencil(R)``310831
ocoerce`1`n`(%)->OutputForm`dSBoundary(PT)``310903
ocoerce`1`n`(%)->OutputForm`dSceneIFS(PT)``310979
ocoerce`1`n`(%)->OutputForm`dScene(PT)``311043
ocoerce`1`n`(%)->OutputForm`dSTransform(PT)``311287
ocoerce`1`n`(OutputForm)->%`dTexFormat``311319
ocoerce`1`n`(%)->OutputForm`dTwoDimensionalViewport``311405
ocoerce`1`n`(OutputForm)->String`dHTMLFormat``311583
ocoerce`1`n`(OutputForm)->String`dMathMLFormat``311670
ocoerce`1`n`(OutputForm)->String`dTexmacsFormat``311759
ocoerce`1`n`(%)->P`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``311849
ocoerce`1`n`(P)->%`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``311905
ocoerce`1`n`(PermutationGroup(S))->%`dDirectedGraph(S)``312002
ocoerce`1`n`(PermutationGroup(S))->%`dMultifunctionGraph(S)``312049
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(%)->Polynomial(R)`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(Polynomial(R))->%`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(%)->(PositiveInteger)->Coef`dDirichletRing(Coef)``0
ocoerce`1`n`((PositiveInteger)->Coef)->%`dDirichletRing(Coef)``0
ocoerce`1`n`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->%`dThreeDimensionalMatrix(R)``312141
ocoerce`1`n`(%)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``312270
ocoerce`1`n`(PrimitiveArray(S))->%`dTuple(S)``312343
ocoerce`1`n`(R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(%)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``312404
ocoerce`1`n`(%)->R`dModularField(R,Mod,reduction,merge,exactQuo)``312442
ocoerce`1`n`(%)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``312480
ocoerce`1`n`(%)->Record(index:IS,exponent:E)`dModuleMonomial(IS,E,ff)``312518
ocoerce`1`n`(Record(index:IS,exponent:E))->%`dModuleMonomial(IS,E,ff)``312556
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranFunctionCategory``312594
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranMatrixCategory``312784
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranMatrixFunctionCategory``312974
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranVectorCategory``313164
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranVectorFunctionCategory``313354
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`dFortranProgram(name,returnType,arguments,symbols)``313544
ocoerce`1`n`(R)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(R)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(R)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(R)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(R)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(S)->A`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(S)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(S)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(S)->%`cCoercibleFrom(S)``313584
ocoerce`1`n`(S)->%`dMakeCachableSet(S)``313644
ocoerce`1`n`(%)->SExpression`dFortranScalarType``313713
ocoerce`1`n`(S)->Expression(Integer)`xJetBundleCategory&(S)``0
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SKICombinators(UT))->ILogic`pcompUtil(UT)``313794
ocoerce`1`n`(SKICombinators(UT))->Lambda(UT)`pcompUtil(UT)``314235
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->List(R)`xAIntervalCategory&(S,R)``0
ocoerce`1`n`(SMP)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``314563
ocoerce`1`n`(S)->OutputForm`xAIntervalCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xAssociationListAggregate&(S,Key,Entry)``0
ocoerce`1`n`(S)->OutputForm`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->OutputForm`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(S)->OutputForm`xJetBundleCategory&(S)``0
ocoerce`1`n`(S)->OutputForm`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xNonAssociativeRing&(S)``0
ocoerce`1`n`(S)->OutputForm`xOctonionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->OutputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->OutputForm`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xStringAggregate&(S)``0
ocoerce`1`n`(S)->OutputForm`xTableAggregate&(S,Key,Entry)``0
ocoerce`1`n`(S)->OutputForm`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->OutputForm`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(SparseEchelonMatrix(JB,D))->List(%)`dJetBundleLinearFunction(JB,D)``314645
ocoerce`1`n`(SparseMultivariatePolynomial(Expression(Integer),JB))->%`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(%)))->%`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,K))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(S)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(%)->Stream(Coef)`dDirichletRing(Coef)``0
ocoerce`1`n`(Stream(Coef))->%`dDirichletRing(Coef)``0
ocoerce`1`n`(Stream(R))->%`cSequenceCategory(R)``314693
ocoerce`1`n`(String)->%`dFortranScalarType``314738
ocoerce`1`n`(%)->String`dFortranScalarType``315005
ocoerce`1`n`(%)->String`dXmlAttribute``315083
ocoerce`1`n`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->%`dFortranScalarType``315136
ocoerce`1`n`(%)->Symbol`dFortranScalarType``315379
ocoerce`1`n`(Symbol)->%`dJetBundle(IVar,DVar)``315447
ocoerce`1`n`(Symbol)->%`dJetBundleSymAna(JB1,xi,eta)``315601
ocoerce`1`n`(Symbol)->%`dSwitch``315675
ocoerce`1`n`(%)->Symbol`dVariable(sym)``315715
ocoerce`1`n`(Symbol)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(%)->Table(Symbol,FortranType)`dSymbolTable``315758
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``315815
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->%`dUnivariateTaylorSeries(Coef,var,cen)``315953
ocoerce`1`n`(UnivariatePolynomial('x,Coef))->%`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->%`dExponentialExpansion(R,FE,var,cen)``316091
ocoerce`1`n`(Var)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``316200
ocoerce`1`n`(Variable(var))->%`dSparseUnivariateLaurentSeries(Coef,var,cen)``316265
ocoerce`1`n`(Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``316354
ocoerce`1`n`(Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``316443
ocoerce`1`n`(Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)``316545
ocoerce`1`n`(Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)``316634
ocoerce`1`n`(Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)``316723
ocoerce`1`n`(Variable('x))->%`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(Variable(x))->%`dUnivariateSkewPolynomial(x,R,sigma,delta)``316825
ocoerce`1`n`(VarSet)->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``316888
ocoerce`1`n`(V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``316928
ocoerce`1`n`(Vector(MachineFloat))->%`cFortranVectorCategory``317100
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``317177
ocoerce`1`n`(V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(%)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``317318
ocoerce`1`n`(XDistributedPolynomial(VAR,F))->%`dFreeDivisionAlgebra(VAR,F)``317388
ocoerce`1`n`(%)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``317529
ocoerce`1`n`(%)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``317602
ocoerce`1`n`(%)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``317672
ocoerce`1`n`(%)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``317745
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``317813
ocoerce`1`x`(A)->%`dAssociatedJordanAlgebra(R,A)``317896
ocoerce`1`x`(A)->%`dAssociatedLieAlgebra(R,A)``318058
ocoerce`1`x`(Character)->%`cStringAggregate``318214
ocoerce`1`x`(Col)->%`cMatrixCategory(R,Row,Col)``318305
ocoerce`1`x`(Color)->%`dPalette``318382
ocoerce`1`x`(DirectProduct(dim,R))->%`dCartesianTensor(minix,dim,R)``318486
ocoerce`1`x`(Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``318545
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``318630
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``318787
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``319238
ocoerce`1`x`(FourierComponent(E))->%`dFourierSeries(R,E)``319690
ocoerce`1`x`(Fraction(Factored(R)))->%`dPartialFraction(R)``319757
ocoerce`1`x`(%)->Fraction(Integer)`dBinaryExpansion``320049
ocoerce`1`x`(%)->Fraction(Integer)`dDecimalExpansion``320123
ocoerce`1`x`(%)->Fraction(Integer)`dHexadecimalExpansion``320198
ocoerce`1`x`(%)->Fraction(Integer)`dRadixExpansion(bb)``320277
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``320351
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`320499
ocoerce`1`x`(Fraction(R))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`320561
ocoerce`1`x`(%)->Fraction(R)`dPartialFraction(R)``320623
ocoerce`1`x`(Integer)->%`cNonAssociativeRing``320725
ocoerce`1`x`(Integer)->%`dOrdSetInts``320805
ocoerce`1`x`(List(%))->%`dCartesianTensor(minix,dim,R)``320875
ocoerce`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``320961
ocoerce`1`x`(List(List(S)))->%`dPermutation(S)``321054
ocoerce`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``321369
ocoerce`1`x`(List(Permutation(S)))->%`dPermutationGroup(S)``321440
ocoerce`1`x`(List(R))->%`dCartesianTensor(minix,dim,R)``321542
ocoerce`1`x`(List(Record(k:M,c:R)))->%`cMonoidRingCategory(R,M)``321628
ocoerce`1`x`(List(S))->%`dDatabase(S)``321722
ocoerce`1`x`(List(S))->%`dDataList(S)``321777
ocoerce`1`x`(%)->List(S)`dDataList(S)``321834
ocoerce`1`x`(List(S))->%`dPermutation(S)``321899
ocoerce`1`x`(List(S))->%`dStream(S)``322120
ocoerce`1`x`(%)->OutputForm`cThreeSpaceCategory(R)``322182
ocoerce`1`x`(%)->OutputForm`dVoid``322267
ocoerce`1`x`(PiDomain)->Expression(R)`pPiCoercions(R)``322326
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``322395
ocoerce`1`x`(Polynomial(Coef))->%`dTaylorSeries(Coef)``322521
ocoerce`1`x`(Polynomial(Fraction(R)))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`322622
ocoerce`1`x`(%)->RadixExpansion(10)`dDecimalExpansion``322684
ocoerce`1`x`(%)->RadixExpansion(16)`dHexadecimalExpansion``322772
ocoerce`1`x`(%)->RadixExpansion(2)`dBinaryExpansion``322864
ocoerce`1`x`(R)->%`cAlgebra(R)``322950
ocoerce`1`x`(R)->%`cLeftAlgebra(R)``323033
ocoerce`1`x`(R)->%`cXAlgebra(R)``323123
ocoerce`1`x`(R)->%`dFourierSeries(R,E)``323166
ocoerce`1`x`(%)->R`dOrdinaryDifferentialRing(Kernels,R,var)``323232
ocoerce`1`x`(R)->%`dOrdinaryDifferentialRing(Kernels,R,var)``323316
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``323401
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``323487
ocoerce`1`x`(%)->S`cCoercibleTo(S)``323590
ocoerce`1`x`(S)->%`cDifferentialVariableCategory(S)``323656
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``323750
ocoerce`1`x`(Segment(S))->%`dUniversalSegment(S)``323884
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``323959
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(%)))->%`dAlgebraicNumber``324040
ocoerce`1`x`(SparseMultivariatePolynomial(R,K))->%`cFunctionSpace2(R,K)`has(R,Ring)`324112
ocoerce`1`x`(SquareMatrix(dim,R))->%`dCartesianTensor(minix,dim,R)``324174
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``324233
ocoerce`1`x`(%)->String`cFileNameCategory``324460
ocoerce`1`x`(String)->%`cFileNameCategory``324572
ocoerce`1`x`(String)->%`dSymbol``324682
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``324748
ocoerce`1`x`(Symbol)->%`dOpenMathErrorKind``325081
ocoerce`1`x`(Symbol)->%`dTaylorSeries(Coef)``325307
ocoerce`1`x`(%)->Tree(S)`dPendantTree(S)``325370
ocoerce`1`x`(ULS)->%`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``325408
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``325496
ocoerce`1`x`(UTS)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``325573
ocoerce`1`x`(Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``325660
ocoerce`1`x`(Variable(x))->%`dUnivariatePolynomial(x,R)``325749
ocoerce`1`x`(VarSet)->%`cFreeLieAlgebra(VarSet,R)``325832
ocoerce`1`x`(Vector(R))->%`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``325894
ocoerce`1`x`(vl)->%`cXFreeAlgebra(vl,R)``326101
ocoerce`1`x`(%)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``326143
ocoerce`1`x`(%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``326211
ocoerceImages`1`x`(List(S))->%`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`326279
ocoerceImages`1`x`(List(S))->%`dPermutation(S)`has(S,IntegerNumberSystem)`326590
ocoerceL`1`n`(OutputForm)->String`dHTMLFormat``326901
ocoerceL`1`n`(OutputForm)->String`dMathMLFormat``327028
ocoerceL`1`n`(OutputForm)->String`dTexmacsFormat``327157
ocoerceListOfPairs`1`x`(List(List(S)))->%`dPermutation(S)``327287
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``327579
ocoercePreimagesImages`1`x`(List(List(S)))->%`dPermutation(S)``327712
ocoerce_Q`1`n`(Fraction(Integer))->F`pFunctionalSpecialFunction(R,F)``327926
ocoerceS`1`n`(OutputForm)->String`dHTMLFormat``327984
ocoerceS`1`n`(OutputForm)->String`dMathMLFormat``328102
ocoerceToType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``328222
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(%)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`328297
ocoHomology`1`n`(%)->List(Homology)`dCoChainComplex(VS)``328368
ocoHomology`1`n`(%)->List(Homology)`dDeltaComplex(VS)``328416
ocoHomology`1`n`(%)->List(Homology)`dFiniteSimplicialComplex(VS)``328466
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``328618
ocolinearity`2`n`(%,%)->DoubleFloat`cSPointCategory``329403
ocolinearity`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
ocollect`1`n`(%)->%`dJetLazyFunction(JB,D)``329623
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(%,VarSet)->%`cPolynomialSetCategory(R,E,VarSet,P)``329716
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(%)->%`cTriangularSetCategory(R,E,V,P)``329836
ocollectUnder`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUnder`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUnder`2`x`(%,VarSet)->%`cPolynomialSetCategory(R,E,VarSet,P)``329960
ocollectUpper`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUpper`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUpper`2`x`(%,VarSet)->%`cPolynomialSetCategory(R,E,VarSet,P)``330092
ocolor`1`n`(Point(R))->R`pPointPackage(R)``330227
ocolor`1`x`(Integer)->%`dColor``330534
ocolorDef`3`x`(%,Color,Color)->Void`dThreeDimensionalViewport``330604
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->%`dDrawOption``330909
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->%`dDrawOption``331092
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->%`dDrawOption``331302
ocolSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolSlice`1`x`(%)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``331526
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(%,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``331669
ocolumn`2`x`(%,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``331799
ocolumnMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``331922
ocolumns`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``332039
ocolumns`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``332141
ocolumnSpace`1`n`(Matrix(R))->%`dVectorSpaceBasis(R)``332243
ocolumnSpace`1`n`(S)->List(Col)`xMatrixCategory&(S,R,Row,Col)``0
ocolumnSpace`1`x`(%)->List(Col)`cMatrixOperationsCategory(R,Row,Col)`has(R,EuclideanDomain)`332468
ocolumnSpan`1`n`(%)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``332586
ocommaSeparate`1`n`(List(%))->%`dOutputForm``332751
ocomment`1`n`(List(String))->%`dFortranCode``332846
ocomment`1`n`(String)->%`dFortranCode``332953
ocommon`2`n`(Symbol,List(Symbol))->%`dFortranCode``333055
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``333139
ocommonDenominator`1`n`(P)->R`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``333255
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``333362
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``333478
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``333581
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``333665
ocommutator`2`n`(%,%)->%`dJetVectorField(JB,D)``333749
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`x`(%,%)->%`cGroup``333828
ocommutator`2`x`(%,%)->%`cNonAssociativeRng``333900
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``333955
ocompactFraction`1`x`(%)->%`dPartialFraction(R)``334001
ocompanionBlocks`2`n`(Matrix(K),List(Vector(K)))->List(Record(C:Matrix(K),lg:List(Vector(K))))`pPseudoLinearNormalForm(K)``334200
ocomparison`2`x`(%,(%,%)->Boolean)->%`dBasicOperator``334371
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``334630
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Integer`pMultivariateSquareFree(E,OV,R,P)``334871
ocompile`2`n`(Symbol,List(%))->Symbol`dInputForm``334910
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``335233
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``335424
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`n`(%)->%`dSubsetLattice(S,top)``335634
ocomplement`1`x`(%)->%`cFiniteSetAggregate(S)`has(S,Finite)`335659
ocomplement`2`n`(%,List(S))->%`dSubsetLattice(S,top)``335788
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(%))->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``335813
ocomplementSpace`1`n`(%)->%`dVectorSpaceBasis(R)``335939
ocomplementSpace`1`n`(List(Vector(R)))->%`dVectorSpaceBasis(R)``336103
ocomplementSpace`2`n`(List(Vector(R)),NonNegativeInteger)->%`dVectorSpaceBasis(R)``336262
ocomplementSpace`2`n`(%,NonNegativeInteger)->%`dVectorSpaceBasis(R)``336471
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`n`(JetDifferentialEquation(JB,D))->Void`pCartanKuranishi(JB,D)``336694
ocomplete`1`x`(%)->%`cLazyStreamAggregate(S)``336872
ocomplete`1`x`(%)->%`cPAdicIntegerCategory(p)``337019
ocomplete`1`x`(%)->%`cPowerSeriesCategory(Coef,Expon,Var)``337083
ocomplete`1`x`(%)->%`dContinuedFraction(R)``337232
ocomplete`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``337463
ocomplete2`1`n`(JetDifferentialEquation(JB,D))->Record(IDe:JetDifferentialEquation(JB,D),ISys:List(D),Order:NonNegativeInteger,NumProj:NonNegativeInteger,Dim:NonNegativeInteger,CarChar:List(NonNegativeInteger))`pCartanKuranishi(JB,D)``337702
ocompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`337988
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``338195
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``338588
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``338857
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``339057
ocompletelyOrderedSet`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``339226
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``339268
ocompleteSmith`2`n`(Matrix(Integer),(Matrix(Integer))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer)))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer))`pIntegerSmithNormalForm``339465
ocomplex?`1`n`(%)->Boolean`dFortranScalarType``339678
ocomplex`2`x`(R,R)->%`cComplexCategory(R)``339770
ocomplex_curve`1`x`(VT)->%`dParametricComplexCurve(VT)``0
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``339827
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``340060
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``340399
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``340544
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``340689
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``340871
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``341053
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``341149
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``341245
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``341307
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`341369
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``341492
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``341615
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``341708
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``341833
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``341958
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``342074
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``342190
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``342328
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`342466
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`342543
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`342620
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`342697
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`342774
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`342851
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`342928
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``343005
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`343082
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`343192
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`343302
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`343412
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`343522
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`343601
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`343711
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``343821
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`343931
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`344056
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`344181
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`344306
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`344431
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`344554
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`344679
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`344837
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`344995
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`345153
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`345281
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`345439
ocomplex_roots`1`n`(SparseUnivariatePolynomial(F))->Union(Record(reals:List(F),complexes:List(Record(real:F,imag:F))),"failed")`pRootUtilities(R,F)``345597
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``345747
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``345929
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``346240
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``346461
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``346674
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``346901
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``347117
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``347316
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``347449
ocomponent`2`n`(%,Point(DoubleFloat))->Void`dGraphImage``347654
ocomponent`5`n`(%,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``347981
ocomponent`5`n`(%,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``348461
ocomponents`1`x`(%)->List(%)`cThreeSpaceCategory(R)``348798
ocompose`2`n`(Stream(M),Stream(R))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(M,RightModule(R))`349035
ocomposite`1`x`(List(%))->%`cThreeSpaceCategory(R)``349130
ocomposite`2`n`(Fraction(S),S)->Union(Fraction(S),"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(S,S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`x`(Fraction(%),%)->Union(Fraction(%),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`349330
ocomposite`2`x`(%,%)->Union(%,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`349452
ocomposites`1`x`(%)->List(%)`cThreeSpaceCategory(R)``349560
ocompound`2`n`(%,%)->%`dSTransform(PT)``349905
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``349961
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``350197
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``350376
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``350543
oconcat`1`n`(List(A))->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat!`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat!`1`n`(List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`1`x`(List(%))->%`cLinearAggregate(S)``350937
oconcat!`1`x`(List(%))->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`351232
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``351528
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`351664
oconcat!`2`x`(%,%)->%`cExtensibleLinearAggregate(S)``351800
oconcat`2`x`(%,%)->%`cLinearAggregate(S)``351905
oconcat!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`352160
oconcat`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)``352248
oconcat!`2`x`(%,S)->%`cExtensibleLinearAggregate(S)``352413
oconcat`2`x`(%,S)->%`cLinearAggregate(S)``352501
oconcat`2`x`(S,%)->%`cLinearAggregate(S)``352655
oconcat!`2`x`(%,S)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`352811
oconcat`2`x`(S,%)->%`cUnaryRecursiveAggregate(S)``352945
ocond`2`n`(Switch,%)->%`dFortranCode``353131
ocond`3`n`(Switch,%,%)->%`dFortranCode``353236
ocondition`1`n`(%)->C`dSplittingNode(V,C)``353358
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xFiniteFieldCategory&(S)``0
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oconditionP`1`x`(Matrix(%))->Union(Vector(%),"failed")`cPolynomialFactorizationExplicit`has(%,CharacteristicNonZero)`353429
oconditions`1`n`(%)->List(C)`dSplittingTree(V,C)``353693
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`353775
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``353951
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``354128
oconditionsForIdempotents`1`n`(Vector(%))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`354305
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`x`(Vector(%))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``354514
ocone`2`n`(%,NonNegativeInteger)->%`dFiniteSimplicialComplex(VS)``354724
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``354947
oconj`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``355273
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`355437
oconjugate`1`n`(%)->%`dPartition``355493
oconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``355576
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`x`(%)->%`cComplexCategory(R)``355661
oconjugate`1`x`(%)->%`cOctonionCategory(R)``355736
oconjugate`1`x`(%)->%`cQuaternionCategory(R)``355882
oconjugate`1`x`(%)->%`cSpecialFunctionCategory``355961
oconjugate`1`x`(List(Integer))->List(Integer)`pPartitionsAndPermutations``356023
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(%,%)->%`cGroup``356096
oconjugates`1`x`(Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``356197
oconnect`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``356305
ocons`2`n`(R,%)->%`cSequenceCategory(R)``356577
ocons`2`x`(S,%)->%`dList(S)``356643
ocons`2`x`(S,%)->%`dStream(S)``356812
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``356960
oconsRow!`2`n`(%,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``357001
oconst?`1`n`(%)->Boolean`cJetBundleFunctionCategory(JB)``357090
oconst`1`n`(%)->R`dDistributedJetBundlePolynomial(R,JB,LJV,E)``357164
oconst?`1`n`(S)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``357295
oconstant?`1`n`(%)->Boolean`dPattern(R)``357399
oconstant?`1`n`(%)->Boolean`dXPolynomialRing(R,E)``357476
oconstant`1`n`(%)->R`dXPolynomialRing(R,E)``357574
oconstant?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``357638
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``357710
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``357803
oconstant`1`x`(%)->R`cXFreeAlgebra(vl,R)``357967
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``358032
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``358160
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``358600
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``358645
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``358691
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``358792
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``358907
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``359051
oconstant_subspace`2`n`(List(Vector(F)),List((F)->F))->Record(transform:Matrix(F),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``359153
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``359537
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``359759
oconstruct`1`n`(List(List(List(R))))->%`dThreeDimensionalMatrix(R)``359987
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->%`dPatternMatchResult(R,S)``360086
oconstruct`1`n`(List(Record(k:S,c:A)))->%`cIndexedProductCategory(A,S)``360229
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(%)`dSplittingNode(V,C)``360386
oconstruct`1`n`(List(S))->A`xBagAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
oconstruct`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xLazyStreamAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconstruct`1`n`(Record(val:V,tower:C))->%`dSplittingNode(V,C)``360486
oconstruct`1`n`(SplittingNode(V,C))->%`dSplittingTree(V,C)``360569
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->%`dFullPartialFractionExpansion(F,UP)``360865
oconstruct`1`x`(List(S))->%`cCollection(S)``360920
oconstruct`1`x`(%)->Stream(S)`dInfiniteTuple(S)``361161
oconstruct`2`n`(A,B)->%`dProduct(A,B)``361228
oconstruct`2`n`(IS,E)->%`dModuleMonomial(IS,E,ff)``361321
oconstruct`2`n`(%,LyndonWord(VarSet))->%`dLiePolynomial(VarSet,R)``361365
oconstruct`2`n`(LyndonWord(VarSet),%)->%`dLiePolynomial(VarSet,R)``361434
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->%`dLiePolynomial(VarSet,R)``361503
oconstruct`2`n`(OutputForm,List(OutputForm))->OutputForm`pOutputFormTools``361572
oconstruct`2`n`(S1,S2)->%`dSuchThat(S1,S2)``361664
oconstruct`2`n`(V,C)->%`dSplittingNode(V,C)``361726
oconstruct`2`n`(V,List(C))->List(%)`dSplittingNode(V,C)``361806
oconstruct`2`x`(%,%)->%`cLieAlgebra(R)``361894
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->%`dFortranType``361974
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->%`dFortranType``362044
oconstruct`3`n`(V,C,Boolean)->%`dSplittingNode(V,C)``362114
oconstruct`3`n`(V,C,List(%))->%`dSplittingTree(V,C)``362232
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->%`dSplittingTree(V,C)``362397
oconstruct`4`n`(V,C,V,List(C))->%`dSplittingTree(V,C)``362587
oconstruct`4`x`(Sequence(R),Sequence(R),Sequence(R),Sequence(R))->%`dDistribution(R)``362790
oconstructOrdered`1`n`(List(Record(k:S,c:A)))->%`cIndexedProductCategory(A,S)`has(S,Comparable)`363075
oconstructor_documentation`1`n`(Symbol)->String`pBrowserInformation``363492
oconstructor_form`1`n`(Symbol)->SExpression`pBrowserInformation``363650
oconstructor_kind`1`n`(Symbol)->Symbol`pBrowserInformation``363820
oconstructor_name?`1`n`(Symbol)->Boolean`pBrowserInformation``363920
oconstructor_signature`2`n`(Symbol,List(SExpression))->SExpression`pBrowserInformation``364034
ocontains?`2`n`(%,%)->Boolean`cAIntervalCategory(R)``364188
ocontains?`2`n`(%,R)->Boolean`cAIntervalCategory(R)``364316
ocontains?`2`n`(S,R)->Boolean`xAIntervalCategory&(S,R)``0
ocontains?`2`n`(S,S)->Boolean`xAIntervalCategory&(S,R)``0
ocontainsPoint?`2`n`(%,PT)->Boolean`dSBoundary(PT)``364421
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``364574
ocontent`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
ocontent`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
ocontent`1`n`(S)->R`xUnivariateSkewPolynomialCategory&(S,R)``0
ocontent`1`x`(%)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`364656
ocontent`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocontent`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`2`x`(%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`364746
ocontinue`1`n`(SingleInteger)->%`dFortranCode``365038
ocontinuedFraction`1`n`(%)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(%)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``365134
ocontinuedFraction`1`n`(%)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``365246
ocontinuedFraction`1`x`(Fraction(R))->%`dContinuedFraction(R)``365358
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->%`dContinuedFraction(R)``365496
ocontraAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``365728
ocontraAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``365844
ocontract`2`n`(JetVectorField(JB,D),%)->D`dJetDifferential(JB,D)``365960
ocontract`2`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl)``366062
ocontract`3`x`(%,Integer,Integer)->%`dCartesianTensor(minix,dim,R)``366162
ocontract`4`x`(%,Integer,%,Integer)->%`dCartesianTensor(minix,dim,R)``366501
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``366941
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``367213
ocontrolPanel`2`n`(%,String)->Void`dTwoDimensionalViewport``367507
ocontrolPanel`2`x`(%,String)->Void`dThreeDimensionalViewport``367740
oconvergents`1`x`(%)->Stream(Fraction(R))`dContinuedFraction(R)``367977
oconvert`1`n`(A)->DoubleFloat`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Float`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->InputForm`xCollection&(A,S)``0
oconvert`1`n`(A)->InputForm`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Float)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Integer)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(CS)->Pattern(R)`pComplexPattern(R,S,CS)``368149
oconvert`1`n`(Factored(S))->S`xFunctionSpace2&(S,R,K)``0
oconvert`1`n`(%)->JetBundlePolynomial(R,JB)`dDistributedJetBundlePolynomial(R,JB,LJV,E)``368230
oconvert`1`n`(JetBundlePolynomial(R,JB))->%`dDistributedJetBundlePolynomial(R,JB,LJV,E)``368364
oconvert`1`n`(LinearOrdinaryDifferentialOperator1(R))->LinearOrdinaryDifferentialOperator3(Coeff,Ab,R)`pLODOConvertions(Coeff,Ab,R)``368498
oconvert`1`n`(LinearOrdinaryDifferentialOperator3(Coeff,Ab,R))->LinearOrdinaryDifferentialOperator1(R)`pLODOConvertions(Coeff,Ab,R)``368781
oconvert`1`n`(List(%))->%`dPattern(R)``369064
oconvert`1`n`(List(P))->%`dGeneralPolynomialSet(R,E,VarSet,P)``369143
oconvert`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->%`cConvertibleFrom(S)``369244
oconvert`1`n`(S)->Complex(DoubleFloat)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Complex(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->DoubleFloat`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->DoubleFloat`xRealNumberSystem&(S)``0
oconvert`1`n`(SExpression)->%`dInputForm``369305
oconvert`1`n`(S)->Float`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xFinite&(S)``0
oconvert`1`n`(S)->InputForm`xFramedModule&(S,R)``0
oconvert`1`n`(S)->InputForm`xFunctionSpace2&(S,R,K)``0
oconvert`1`n`(S)->InputForm`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->InputForm`xOctonionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->InputForm`xQuaternionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xFunctionSpace2&(S,R,K)``0
oconvert`1`n`(S)->Pattern(Float)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Float)`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Float)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Pattern(Integer)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Integer)`xFunctionSpace2&(S,R,K)``0
oconvert`1`n`(S)->Pattern(Integer)`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xFramedModule&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xOctonionCategory&(S,R)``0
oconvert`1`n`(%)->Symbol`dSingletonAsOrderedSet``0
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->%`cFramedModule(R)``369365
oconvert`1`n`(%)->Vector(R)`cFramedModule(R)``369506
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedModule&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xOctonionCategory&(S,R)``0
oconvert`1`x`(DoubleFloat)->%`dFloat``369616
oconvert`1`x`(Factored(%))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`369707
oconvert`1`x`(Flt)->%`cSExpressionCategory(Str,Sym,Int,Flt)``369881
oconvert`1`x`(Int)->%`cSExpressionCategory(Str,Sym,Int,Flt)``369938
oconvert`1`x`(List(%))->%`cSExpressionCategory(Str,Sym,Int,Flt)``369995
oconvert`1`x`(List(R))->%`cPointCategory(R)``370086
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``370208
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``370252
oconvert`1`x`(Polynomial(Fraction(Integer)))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`370296
oconvert`1`x`(Polynomial(Integer))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`370360
oconvert`1`x`(Polynomial(R))->%`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`370424
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``370488
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(%)->S`cConvertibleTo(S)``370532
oconvert`1`x`(S)->%`cSegmentCategory(S)``370599
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``370657
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``370701
oconvert`1`x`(SquareMatrix(n,R))->%`dLieSquareMatrix(n,R)``370761
oconvert`1`x`(Str)->%`cSExpressionCategory(Str,Sym,Int,Flt)``370813
oconvert`1`x`(Symbol)->%`dRomanNumeral``370870
oconvert`1`x`(Sym)->%`cSExpressionCategory(Str,Sym,Int,Flt)``370940
oconvert`1`x`(UP)->%`cMonogenicAlgebra(R,UP)``370997
oconvert`2`n`(List(S),List(FreeGroup(S)))->GroupPresentation`pGroupPresentationFunctions1(S)``371149
oconvert`2`n`(OutputForm,Integer)->%`cOutputFormatterCategory``371272
oconvert`2`n`(OutputForm,Integer)->%`dTexFormat``371399
oconvert`3`n`(OutputForm,Integer,OutputForm)->%`dTexFormat``371663
oconvert_mr`3`n`(Record(mantissa:Integer,exponent:Integer),Integer,Record(default?:Boolean,trim_trailing_zeros?:Boolean,out_mode:String,spacing:Integer,separator:Character))->String`pFloatingPointConvertion``371956
oconvert_pattern`1`n`(String)->Union(SExpression,ErrorIndicator)`pBrowserInformation``372035
oconvert_to_decimal`2`n`(Record(mantissa:Integer,exponent:Integer),Integer)->Record(mantissa:Integer,exponent:Integer)`pFloatingPointConvertion``372146
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->%`dDrawOption``372257
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``372389
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``372423
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``372620
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``372834
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``373049
ocoordinates`1`n`(S)->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedModule&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xOctonionCategory&(S,R)``0
ocoordinates`1`n`(Vector(%))->Matrix(R)`cFramedModule(R)``373260
ocoordinates`1`n`(%)->Vector(R)`cFramedModule(R)``373490
ocoordinates`1`n`(Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedModule&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xOctonionCategory&(S,R)``0
ocoordinates`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->%`dDrawOption``373604
ocoordinates`2`n`(S,Vector(S))->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`n`(Vector(R),%)->Vector(R)`dVectorSpaceBasis(R)``373755
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`x`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``373902
ocoordinates`2`x`(Vector(%),Vector(%))->Matrix(R)`cFiniteRankAlgebra(R,UP)``374051
ocoordinates`2`x`(Vector(%),Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``374295
ocoordinates`2`x`(%,Vector(%))->Vector(R)`cFiniteRankAlgebra(R,UP)``374508
ocoordinates`2`x`(%,Vector(%))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``374620
ocoordinatesIfCan`2`n`(Vector(R),%)->Union(Vector(R),"failed")`dVectorSpaceBasis(R)``374769
ocopies`2`x`(Integer,String)->String`pDisplayPackage``374927
ocoproduct`1`x`(%)->MxM`cCoalgebra(R,MxM)``375047
ocopy`1`n`(A)->A`xBinaryTreeCategory&(A,S)``0
ocopy`1`n`(A)->A`xDictionaryOperations&(A,S)``0
ocopy`1`n`(A)->A`xListAggregate&(A,S)``0
ocopy`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopy`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``375120
ocopy`1`n`(%)->%`dJetDifferentialEquation(JB,D)``375180
ocopy`1`n`(%)->%`dJetDifferential(JB,D)``375245
ocopy`1`n`(%)->%`dJetVectorField(JB,D)``375314
ocopy`1`n`(%)->%`dLinearMultivariateMatrixPencil(R)``375381
ocopy`1`n`(%)->%`dPattern(R)``375449
ocopy`1`n`(%)->%`dSparseEchelonMatrix(C,D)``375509
ocopy`1`n`(%)->%`dSplittingNode(V,C)``375570
ocopy`1`n`(%)->%`dSubSpaceComponentProperty``375620
ocopy`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ocopy`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocopy`1`x`(%)->%`cAggregate``375656
ocopy`1`x`(%)->%`cIntegerNumberSystem``375788
ocopy`1`x`(%)->%`cThreeSpaceCategory(R)``375836
ocopy`1`x`(%)->%`dBasicOperator``375929
ocopy`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``375981
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``376064
ocopy_first`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``376208
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`x`(%,%,Integer)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable))`376332
ocopy_mat_part`2`n`(MMT,Integer)->MMT`cModularFactorizationOperations(PA,MMT,MD,PMD)``376452
ocopy_mat_part`3`n`(U32Matrix,Integer,Integer)->U32Matrix`pModularU32MatrixOperations``376571
ocopy_poly`3`n`(PA,Integer,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``376677
ocopy_slice`4`n`(U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``376879
ocorrPoly`6`n`(SparseUnivariatePolynomial(P),List(OV),List(R),List(NonNegativeInteger),List(SparseUnivariatePolynomial(P)),(SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed"))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``377050
ocos`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``377489
ocos`1`n`(E)->%`dFourierComponent(E)``377556
ocos`1`n`(F)->F`pElementaryFunction(R,F)``377622
ocos`1`n`(S)->S`xComplexCategory&(S,R)``0
ocos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``377683
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``377750
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``377817
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``377885
ocos`1`x`(%)->%`cTrigonometricFunctionCategory``377955
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``378008
ocosh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``378106
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``378175
ocosh`1`n`(S)->S`xComplexCategory&(S,R)``0
ocosh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``378248
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``378331
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``378414
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``378494
ocosh`1`x`(%)->%`cHyperbolicFunctionCategory``378576
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``378641
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``378743
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``378830
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``378915
ocot`1`n`(F)->F`pElementaryFunction(R,F)``379151
ocot`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``379215
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``379285
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``379355
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``379426
ocot`1`x`(%)->%`cTrigonometricFunctionCategory``379499
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``379555
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``379653
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``379757
ocoth`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``379833
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``379919
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``380005
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``380088
ocoth`1`x`(%)->%`cHyperbolicFunctionCategory``380173
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``380241
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``380343
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``380452
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``380539
ocounit`1`x`(%)->R`cCoalgebra(R,MxM)``380624
ocount`2`n`((Entry)->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(Entry,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((R)->Boolean,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(Record(key:Key,entry:Entry),S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(R,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`(S,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`x`((S)->Boolean,%)->NonNegativeInteger`cHomogeneousAggregate(S)`has(%,finiteAggregate)`380692
ocount`2`x`(S,%)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`380883
ocountable?`1`x`(%)->Boolean`dCardinalNumber``381044
ocountRealRoots`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)``381180
ocountRealRootsMultiple`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`381250
ocoverMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ocoverMatrix`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``381355
ocPower`2`n`(%,Coef)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`381748
ocRationalPower`2`n`(%,Fraction(Integer))->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`381889
ocreate`0`n`()->%`dSingletonAsOrderedSet``381995
ocreate3Space`0`x`()->%`cThreeSpaceCategory(R)``382057
ocreate3Space`1`x`(SubSpace(3,R))->%`cThreeSpaceCategory(R)``382195
ocreateArrows2Din2D`4`n`((PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``382337
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``382565
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``382763
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``382924
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``383267
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``383473
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``383593
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`383884
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``384147
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``384281
ocreatePlot1Din2D`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``384504
ocreatePlot1Din2D`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``384733
ocreatePlot1Din2Dparametric`3`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``384963
ocreatePlot1Din3Dparametric`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``385554
ocreatePlot1Din3Dparametric`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``385966
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``386548
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``386960
ocreatePlot2Din3Dparametric`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``387158
ocreatePlot2Din3Dparametric`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``387601
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->%`cFiniteFieldCategory``388152
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``388263
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``388413
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``388553
ocreateSceneArrow`5`n`(String,String,PT,Symbol,DoubleFloat)->%`dScene(PT)``388663
ocreateSceneArrow`6`n`(%,%,PT,Symbol,DoubleFloat,DoubleFloat)->%`dScene(PT)``389586
ocreateSceneArrows`3`n`(List(List(PT)),Symbol,DoubleFloat)->%`dScene(PT)``390867
ocreateSceneBox`1`n`(DoubleFloat)->%`dScene(PT)``391765
ocreateSceneClip`1`n`(SBoundary(PT))->%`dScene(PT)``391877
ocreateSceneDef`2`n`(String,%)->%`dScene(PT)``392007
ocreateSceneGraph`4`n`(DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->%`dScene(PT)``392114
ocreateSceneGrid`1`n`(SBoundary(PT))->%`dScene(PT)``392200
ocreateSceneGrid`2`n`(DoubleFloat,SBoundary(PT))->%`dScene(PT)``392353
ocreateSceneGroup`0`n`()->%`dScene(PT)``392528
ocreateSceneIFS`1`n`(SceneIFS(PT))->%`dScene(PT)``392649
ocreateSceneIFS`2`n`(List(List(NonNegativeInteger)),List(PT))->%`dScene(PT)``392807
ocreateSceneLine`1`n`(List(PT))->%`dScene(PT)``392970
ocreateSceneLine`3`n`(%,%,DoubleFloat)->%`dScene(PT)``393232
ocreateSceneLine`4`n`(%,%,DoubleFloat,Boolean)->%`dScene(PT)``393840
ocreateSceneLines`1`n`(List(List(PT)))->%`dScene(PT)``394570
ocreateSceneMaterial`1`n`(Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->%`dScene(PT)``394825
ocreateSceneMaterial`3`n`(DoubleFloat,String,String)->%`dScene(PT)``395196
ocreateSceneNamedPoints`1`n`(SceneNamedPoints(PT))->%`dScene(PT)``395517
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,SBoundary(PT))->%`dScene(PT)``395683
ocreateSceneRoot`0`n`()->%`dScene(PT)``396212
ocreateSceneRoot`1`n`(SBoundary(PT))->%`dScene(PT)``396336
ocreateSceneRoot`4`n`(Integer,Integer,Integer,Integer)->%`dScene(PT)``396462
ocreateSceneRuler`3`n`(Symbol,PT,SBoundary(PT))->%`dScene(PT)``396608
ocreateSceneShape`1`n`(Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->%`dScene(PT)``396855
ocreateSceneShape`1`n`(SBoundary(PT))->%`dScene(PT)``396989
ocreateSceneText`1`n`(Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->%`dScene(PT)``397139
ocreateSceneText`3`n`(List(String),NonNegativeInteger,PT)->%`dScene(PT)``397285
ocreateSceneText`3`n`(String,NonNegativeInteger,PT)->%`dScene(PT)``397393
ocreateSceneTransform`1`n`(STransform(PT))->%`dScene(PT)``397532
ocreateSceneUse`1`n`(String)->%`dScene(PT)``397764
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``397836
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``397991
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``398117
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``398243
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``398380
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``398517
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``398654
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``398791
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``399209
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``399245
ocritBonD`2`n`(Dpol,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``399279
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``399316
ocritMonD1`2`n`(Expon,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``399350
ocritMTonD1`1`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``399388
ocritpOrder`2`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``399427
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``399466
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``399500
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(%,%)->%`cPointCategory(R)``399719
ocross`2`x`(%,%)->%`cVectorCategory(R)`has(R,Ring)`399870
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``400004
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``400213
ocsc`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``400276
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``400345
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``400414
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``400484
ocsc`1`x`(%)->%`cTrigonometricFunctionCategory``400556
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``400611
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``400709
ocsch`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``400784
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``400869
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``400954
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``401036
ocsch`1`x`(%)->%`cHyperbolicFunctionCategory``401120
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``401187
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``401289
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``401376
ocSec`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`401468
ocSech`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`401590
ocSin`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`401724
ocSinh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`401844
ocsolve_pol`2`n`((Matrix(F))->List(Vector(Q)),List(UP))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``401976
ocsolve_rf`2`n`((Matrix(F))->List(Vector(Q)),List(Fraction(UP)))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``402083
ocsolve_rmat`2`n`((Matrix(F))->List(Vector(Q)),Matrix(Fraction(UP)))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``402197
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``402313
ocTan`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`402365
ocTanh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`402488
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``402623
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``402660
ocubicalComplex`1`n`(List(VS))->%`dFiniteCubicalComplex(VS)``402706
ocubicalComplex`2`n`(List(VS),List(CubicalFacet))->%`dFiniteCubicalComplex(VS)``402745
ocubicalComplex`2`n`(List(VS),List(List(List(Integer))))->%`dFiniteCubicalComplex(VS)``402793
ocubicalComplex`2`n`(List(VS),List(List(Segment(Integer))))->%`dFiniteCubicalComplex(VS)``402841
ocubicalFacet`2`n`(Integer,CubicalFacet)->%`dCubicalFacet``402889
ocubicalFacet`2`n`(Integer,List(List(Integer)))->%`dCubicalFacet``402934
ocubicalFacet`2`n`(Integer,List(Segment(Integer)))->%`dCubicalFacet``402971
ocumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``403152
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``403270
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``403456
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``403549
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``403642
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``403743
ocurve?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``403845
ocurve`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``404058
ocurve`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``404250
ocurve`2`x`(ComponentFunction,ComponentFunction)->%`dParametricPlaneCurve(ComponentFunction)``404481
ocurve`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``404583
ocurve`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``404939
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->%`dParametricSpaceCurve(ComponentFunction)``405106
ocurveColor`1`x`(Float)->%`dDrawOption``405224
ocurveColor`1`x`(Palette)->%`dDrawOption``405363
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``405533
ocurveLoops`3`n`(List(PT),DoubleFloat,Integer)->List(List(PT))`dSceneIFS(PT)``405754
ocycle`1`x`(List(S))->%`cPermutationCategory(S)``405837
ocycleClosed`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleClosed`2`n`(List(S),String)->%`cFiniteGraph(S)``406057
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``406296
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(%)->%`cUnaryRecursiveAggregate(S)``406443
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(%)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``406576
ocycleOpen`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleOpen`2`n`(List(S),String)->%`cFiniteGraph(S)``406714
ocyclePartition`1`x`(%)->Partition`dPermutation(S)``407062
ocycleRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``407205
ocycles`1`x`(List(List(S)))->%`cPermutationCategory(S)``407425
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`407740
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(%)->%`cUnaryRecursiveAggregate(S)``408111
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`x`(%)->Boolean`cRecursiveAggregate(S)``408201
ocyclic`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``408257
ocyclicGroup`1`n`(PositiveInteger)->%`dGroupPresentation``408353
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``408469
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``408650
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`408766
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicUtilities``409389
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``409461
ocyclotomic?`1`n`(SparseUnivariatePolynomial(Integer))->Union(Integer,"failed")`pCyclotomicUtilities``409664
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``409828
ocyclotomic_array`1`n`(Integer)->PrimitiveArray(Integer)`pCyclotomicUtilities``409926
ocyclotomic_case?`1`x`(SparseUnivariatePolynomial(Polynomial(R)))->Union(Integer,"failed")`pRadicalSolvePackage(R)``410196
ocyclotomic_decomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicUtilities``410262
ocyclotomic_roots`1`n`(PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``410374
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``410468
ocylindricalDecomposition`1`n`(List(Polynomial(TheField)))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``410697
ocylindricalDecomposition`2`n`(List(Polynomial(TheField)),List(Symbol))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``410841
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`x`()->%`cLinearOrdinaryDifferentialOperatorCategory(A)``410977
od`1`n`(D)->%`dJetDifferential(JB,D)``411069
od`1`n`(JB)->%`dJetDifferential(JB,D)``411127
oD`1`n`(S)->S`xDifferentialExtension&(S,R)``0
oD`1`n`(S)->S`xDifferentialRing&(S)``0
oD`1`n`(Var)->%`dPartialDifferentialOperator(R,Var)``411186
oD`1`n`(Var)->%`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)``411292
oD`1`x`(%)->%`cDifferentialRing``411394
oD`1`x`(%)->%`dFullPartialFractionExpansion(F,UP)``411538
oD`2`n`(A,List(S))->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(A,S)->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(S,List(Symbol))->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialRing&(S)``0
oD`2`n`(S,(R)->R)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,Symbol)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(Symbol,List(Symbol))->%`dJetBundle(IVar,DVar)``411593
oD`2`n`(Symbol,List(Symbol))->%`dJetBundleSymAna(JB1,xi,eta)``411718
oD`2`x`(%,List(S))->%`cPartialDifferentialRing(S)``411766
oD`2`x`(%,NonNegativeInteger)->%`cDifferentialRing``411889
oD`2`x`(%,NonNegativeInteger)->%`dFullPartialFractionExpansion(F,UP)``411959
oD`2`x`(%,(R)->R)->%`cDifferentialExtension(R)``412029
oD`2`x`(%,S)->%`cPartialDifferentialRing(S)``412123
oD`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`x`(%,List(S),List(NonNegativeInteger))->%`cPartialDifferentialRing(S)``412215
oD`3`x`(%,(R)->R,NonNegativeInteger)->%`cDifferentialExtension(R)``412359
oD`3`x`(%,S,NonNegativeInteger)->%`cPartialDifferentialRing(S)``412485
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``412628
odanilewski`1`n`(Matrix(F))->Record(matrix:Matrix(F),block_list:List(Integer))`pCharacteristicPolynomial2(F)``413041
odark`1`x`(Color)->%`dPalette``413178
odatalist`1`x`(List(S))->%`dDataList(S)``413269
oddfact`2`n`(PA,MD)->List(Record(poly:PA,degree:NonNegativeInteger,separate_factors:()->List(PA)))`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``413328
oddfact`2`n`(PrimitiveArray(K),Record(i_mod:Integer,deg:Integer))->List(Record(poly:PrimitiveArray(K),degree:NonNegativeInteger,separate_factors:()->List(PrimitiveArray(K))))`pModularFactorizationK(K)``0
oddfact`2`n`(U32Vector,Integer)->List(Record(poly:U32Vector,degree:NonNegativeInteger,separate_factors:()->List(U32Vector)))`pModularFactorization``0
odebug`1`n`(Boolean)->Boolean`dPlot``413499
odebug`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``413586
odebug`1`x`(Boolean)->%`dGuessOption``413692
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``413832
odec`1`x`(%)->%`cIntegerNumberSystem``413925
odecimal`1`x`(Fraction(Integer))->%`dDecimalExpansion``413968
odeclare`1`n`(List(%))->Symbol`dInputForm``414044
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``414391
odeclare!`3`n`(List(Symbol),FortranType,%)->FortranType`dSymbolTable``414516
odeclare!`3`n`(Symbol,FortranType,%)->FortranType`dSymbolTable``414628
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``414732
odeclare!`4`n`(List(Symbol),FortranType,Symbol,%)->FortranType`dTheSymbolTable``414828
odeclare!`4`n`(Symbol,FortranType,Symbol,%)->FortranType`dTheSymbolTable``414968
odecompose`1`x`(%)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``415107
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``415189
odecompose`2`n`(UP,List(UP))->List(UP)`pPartialFractionUtilities(F,UP)``415513
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``415715
odecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`415950
odecreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`416081
odeductions`1`n`(List(%))->List(%)`dILogic``416221
odeductions`1`n`(List(%))->List(%)`dLatticeJoinOfMeets``416607
odeductions`1`n`(List(%))->List(%)`dLatticeMeetOfJoins``416993
odeepCopy`1`n`(%)->%`dSubSpace(n,R)``417379
odeepDiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odeepDiagramSvg`3`n`(String,%,Boolean)->Void`cFiniteGraph(S)``0
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``417419
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``417564
odeepExpand`1`x`(%)->OutputForm`dFreeNilpotentLie(n,class,R)``417797
odefaultEpilogue`1`n`(String)->OutputBox`cFormatterCategory``417886
odefault_name?`1`n`(Symbol)->Boolean`pBrowserInformation``417978
odefaultPrologue`1`n`(String)->OutputBox`cFormatterCategory``418141
odefineProperty`3`n`(%,List(NonNegativeInteger),SubSpaceComponentProperty)->%`dSubSpace(n,R)``418239
odefiningEquations`1`n`(%)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``418690
odefiningInequation`1`n`(%)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``418829
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``418966
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``419060
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`419162
odefiningPolynomial`1`x`(%)->%`cExpressionSpace2(K)`has(%,Ring)`419305
odefiningPolynomial`1`x`(%)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``419399
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(%)->Expon`cSolvableSkewPolynomialCategory(R,Expon)``419511
odegree`1`n`(%)->Integer`dLaurentPolynomial(R,UP)``419598
odegree`1`n`(MPT)->Integer`cModularAlgebraicGcdOperations(MP,MPT,MD)``419636
odegree`1`n`(%)->NonNegativeInteger`dAntiSymm(R,lVar)``419686
odegree`1`n`(%)->NonNegativeInteger`dDeRhamComplex(CoefRing,listIndVar)``419754
odegree`1`n`(%)->NonNegativeInteger`dExtAlgBasis``419842
odegree`1`n`(PA)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``420009
odegree`1`n`(PrimitiveArray(K))->Integer`pVectorPolynomialOperationsF(K)``420080
odegree`1`n`(PrimitiveArray(PrimeField(p)))->Integer`pVectorPolynomialOperationsP(p)``420148
odegree`1`n`(S)->Expon`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
odegree`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
odegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(S)->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(U32Vector)->Integer`pU32VectorPolynomialOperations``420216
odegree`1`x`(%)->E`cAbelianMonoidRing(R,E)``420284
odegree`1`x`(%)->E`cGradedModule(R,E)``420371
odegree`1`x`(%)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``420492
odegree`1`x`(%)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``420575
odegree`1`x`(%)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``420714
odegree`1`x`(%)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``420839
odegree`1`x`(%)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``420929
odegree`1`x`(%)->NonNegativeInteger`cXPolynomialsCat(vl,R)``421019
odegree`1`x`(%)->NonNegativeInteger`dPermutationGroup(S)``421135
odegree`1`x`(%)->NonNegativeInteger`dPermutation(S)``421238
odegree`1`x`(%)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``421326
odegree`1`x`(%)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``421513
odegree`2`n`(A,List(V))->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,V)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(%,List(VarSet))->List(NonNegativeInteger)`cMaybeSkewPolynomialCategory(R,E,VarSet)``421637
odegree`2`n`(MP,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``421775
odegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(SparseUnivariatePolynomial(P),List(OV))->List(NonNegativeInteger)`pFactoringUtilities(E,OV,R,P)``421856
odegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(%,Symbol)->NonNegativeInteger`dFakePolynomial``0
odegree`2`n`(%,VarSet)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``421962
odegree`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``422068
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``422248
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``422413
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``422696
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``422782
odehomogenize`1`n`(List(Record(ratpart:F,coeffs:Vector(F))))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pLinearCombinationUtilities(F,UP)``422947
odelay`1`x`(()->%)->%`dStream(S)``423387
odelete`2`n`(A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
odelete!`2`n`(A,Integer)->A`xListAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
odelete!`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete!`2`x`(%,Integer)->%`cExtensibleLinearAggregate(S)``423540
odelete`2`x`(%,Integer)->%`cLinearAggregate(S)``423626
odelete!`2`x`(%,UniversalSegment(Integer))->%`cExtensibleLinearAggregate(S)``423788
odelete`2`x`(%,UniversalSegment(Integer))->%`cLinearAggregate(S)``423895
odeleteProperty!`2`x`(%,Symbol)->%`dBasicOperator``424078
odeleteRow!`2`n`(%,Integer)->Void`dSparseEchelonMatrix(C,D)``424238
oDelta`0`n`()->Symbol`pMathematicalSymbols``424327
odelta`0`n`()->Symbol`pMathematicalSymbols``424396
oDelta`1`n`(Symbol)->%`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)`has(Var,SIGNATURE(variable,Var(Symbol)))`424463
odelta`3`n`(%,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``424569
odeltaComplex`1`n`(FiniteCubicalComplex(VS))->%`dDeltaComplex(VS)``424720
odeltaComplex`1`n`(FiniteSimplicialComplex(VS))->%`dDeltaComplex(VS)``424813
odeltaComplex`2`n`(FiniteSimplicialComplex(VS),Boolean)->%`dDeltaComplex(VS)``0
odeltaComplex`3`n`(List(VS),NonNegativeInteger,List(List(List(Integer))))->%`dDeltaComplex(VS)``424911
odelta_deriv`1`n`(R)->R`pLinearOrdinaryDifferentialOperator3Aux(Coeff,A,R)``424963
odenom`1`n`(%)->R`dFractionalIdeal(R,F,UP,A)``425032
odenom`1`n`(%)->R`dLocalAlgebra(A,R)``425091
odenom`1`n`(%)->R`dLocalize(M,R)``425150
odenom`1`x`(%)->S`cQuotientFieldCategory(S)``425209
odenom`1`x`(%)->SparseMultivariatePolynomial(Integer,Kernel(%))`dAlgebraicNumber``425282
odenom`1`x`(%)->SparseMultivariatePolynomial(R,K)`cFunctionSpace2(R,K)`has(R,IntegralDomain)`425394
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(%)->%`cJetBundleFunctionCategory(JB)``425506
odenominator`1`n`(S)->S`xFunctionSpace2&(S,R,K)``0
odenominator`1`x`(%)->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`425571
odenominator`1`x`(%)->%`cQuotientFieldCategory(S)``425653
odenominators`1`x`(%)->Stream(R)`dContinuedFraction(R)``425743
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``425933
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``426157
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``426355
odepth`1`n`(%)->NonNegativeInteger`dOutputBox``426675
odepth`1`n`(%)->NonNegativeInteger`dPattern(R)``426757
odequeue`1`x`(List(S))->%`dDequeue(S)``426819
odequeue!`1`x`(%)->S`cQueueAggregate(S)``426993
oderef`1`n`(%)->S`dReference(S)``427186
oderiv`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``427241
oderiv`1`n`(Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``427322
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(%),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`427506
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``427592
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``427716
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``427963
oderivativeOf?`2`n`(%,%)->List(NonNegativeInteger)`cJetBundleCategory``428276
oderivativeOf?`2`n`(S,S)->List(NonNegativeInteger)`xJetBundleCategory&(S)``0
odeserialize`1`n`(None)->None`pFileSerialization``428474
odestruct`1`n`(%)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``428556
odestruct`1`x`(%)->List(%)`cSExpressionCategory(Str,Sym,Int,Flt)``428673
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`428750
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``428885
odeterminant`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`429020
odeterminant`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`429133
odetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``429210
odetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``429393
odetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``429619
odetSysNS`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``429859
odetSysNS`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``430015
odet_via_common_denominator`1`n`(Matrix(Fraction(R)))->Fraction(R)`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`430171
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``430249
odiagonal?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
odiagonal?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal?`1`x`(%)->Boolean`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianMonoid)`430342
odiagonal`1`x`(%)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``430536
odiagonal?`2`n`(%,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``430643
odiagonal`2`n`(%,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``430706
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(M)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`430785
odiagonalMatrix`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)``430926
odiagonalMatrix`1`x`(List(R))->%`cMatrixCategory(R,Row,Col)``431458
odiagonalMatrix`1`x`(List(R))->%`cSquareMatrixCategory(ndim,R,Row,Col)``431563
odiagonalMatrix`1`x`(Vector(R))->%`dMatrix(R)``431668
odiagonalMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`431781
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``432005
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)``432113
odiagonals`2`x`(%,String)->Void`dThreeDimensionalViewport``432222
odiagramHeight`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramHeight`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``432558
odiagramsSvg`3`n`(String,List(A),Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramsSvg`3`n`(String,List(%),Boolean)->Void`cFiniteGraph(S)``432720
odiagramSvg2`3`n`(String,%,Boolean)->Void`dUndirectedGraph(S)``432984
odiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramSvg`3`n`(String,%,Boolean)->Void`cFiniteGraph(S)``433321
odiagramWidth`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramWidth`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``433596
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->%`cDictionaryOperations(S)``433756
odictionary`1`n`(List(S))->A`xDictionary&(A,S)``0
odictionary`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
odictionary`1`x`(List(S))->%`cDictionaryOperations(S)``433839
odiff`1`n`(JB)->%`dJetVectorField(JB,D)``433944
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``434021
oDiffAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``434092
oDiffC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``434308
odifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xSetAggregate&(A,S)``0
odifference`2`x`(%,%)->%`cSetAggregate(S)``434609
odifference`2`x`(%,S)->%`cSetAggregate(S)``434966
odifferentials`1`n`(%)->List(JB)`dJetDifferential(JB,D)``435190
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(%)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``435292
odifferentiate`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`1`n`(A)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`1`n`(S)->S`xComplexCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialExtension&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialRing&(S)``0
odifferentiate`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`1`n`(S)->S`xFiniteFieldCategory&(S)``0
odifferentiate`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`1`n`(S)->S`xIntegerNumberSystem&(S)``0
odifferentiate`1`n`(S)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`1`x`(%)->%`cDifferentialRing``435426
odifferentiate`1`x`(%)->%`cDifferentialVariableCategory(S)``435582
odifferentiate`1`x`(%)->%`dFullPartialFractionExpansion(F,UP)``435649
odifferentiate`2`n`(A,List(S))->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`2`n`(A,List(Symbol))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,List(Symbol))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,List(V))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,(R)->R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,S)->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`2`n`(A,(S)->S)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,Symbol)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,Symbol)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(%,(F)->F)->F`dIntegrationResult(F)``435716
odifferentiate`2`n`(%,JB)->%`cJetBundleFunctionCategory(JB)``435817
odifferentiate`2`n`(%,NonNegativeInteger)->%`dOutputForm``435928
odifferentiate`2`n`(%,PositiveInteger)->Union(%,"0")`cJetBundleCategory``436102
odifferentiate`2`n`(S,(Fraction(UP))->Fraction(UP))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(SingletonAsOrderedSet))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionSpace2&(S,R,K)``0
odifferentiate`2`n`(S,List(Symbol))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,List(Symbol))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialRing&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFiniteFieldCategory&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xIntegerNumberSystem&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,PositiveInteger)->Union(S,"0")`xJetBundleCategory&(S)``0
odifferentiate`2`n`(S,(R)->R)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,(R)->R)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,(R)->R)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionSpace2&(S,R,K)``0
odifferentiate`2`n`(S,Symbol)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,Symbol)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,Symbol)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,(UP)->UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(%,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`436218
odifferentiate`2`n`(U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``436303
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariateLaurentSeries(Coef,var,cen)``436338
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``436439
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``436540
odifferentiate`2`n`(%,Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)``436642
odifferentiate`2`n`(%,Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)``436743
odifferentiate`2`n`(%,Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)``436844
odifferentiate`2`n`(%,Variable('x))->%`dUnivariateFormalPowerSeries(Coef)``0
odifferentiate`2`x`(%,List(S))->%`cPartialDifferentialRing(S)``436946
odifferentiate`2`x`(%,NonNegativeInteger)->%`cDifferentialRing``437103
odifferentiate`2`x`(%,NonNegativeInteger)->%`cDifferentialVariableCategory(S)``437185
odifferentiate`2`x`(%,NonNegativeInteger)->%`dFullPartialFractionExpansion(F,UP)``437267
odifferentiate`2`x`(%,(R)->R)->%`cDifferentialExtension(R)``437349
odifferentiate`2`x`(%,S)->%`cPartialDifferentialRing(S)``437455
odifferentiate`2`x`(%,(UP)->UP)->%`cFunctionFieldCategory(F,UP,UPUP)``437559
odifferentiate`2`x`(%,Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``437667
odifferentiate`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,List(V),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,(R)->R,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`3`n`(A,(S)->S,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,V,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(S,(Fraction(UP))->Fraction(UP),NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionSpace2&(S,R,K)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionSpace2&(S,R,K)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(U32Vector,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``437768
odifferentiate`3`x`(%,List(S),List(NonNegativeInteger))->%`cPartialDifferentialRing(S)``437803
odifferentiate`3`x`(%,(R)->R,%)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`437921
odifferentiate`3`x`(%,(R)->R,NonNegativeInteger)->%`cDifferentialExtension(R)``438102
odifferentiate`3`x`(%,S,NonNegativeInteger)->%`cPartialDifferentialRing(S)``438240
odiffextint`3`n`((List(UP))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``438395
odiffHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
odiffHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``438531
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`438646
odiff_map`1`n`(Var)->(R)->R`pPartialDifferentialOperatorHelper(R,Var)``0
odiffP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`dJetVectorField(JB,D)``438770
odiffU`1`n`(PositiveInteger)->%`dJetVectorField(JB,D)``438857
odiffX`1`n`(PositiveInteger)->%`dJetVectorField(JB,D)``438936
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``439015
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
odigamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``439090
odigamma`1`x`(%)->%`cSpecialFunctionCategory``439165
odigamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
odigamma`1`x`(Float)->Float`pFloatSpecialFunctions``439288
odigit`0`x`()->%`dCharacterClass``439363
odigit?`1`x`(%)->Boolean`dCharacter``439479
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``439574
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``439651
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``439728
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`439825
odigits`1`x`(%)->Stream(Integer)`cPAdicIntegerCategory(p)``439922
odihedral`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``440000
odihedralGroup`1`n`(PositiveInteger)->%`dGroupPresentation``440100
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``440210
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``440396
odilate`2`n`(R,%)->%`cSequenceCategory(R)``440506
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``440602
odilog`1`x`(%)->%`cLiouvillianFunctionCategory``440649
odilog`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``440771
odim`1`x`(Color)->%`dPalette``440813
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``440899
odimension`1`n`(%)->NonNegativeInteger`dCell(TheField)``440957
odimension`1`n`(%)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``441014
odimension`1`n`(%)->PositiveInteger`cSPointCategory``441075
odimension`1`x`(%)->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``441177
odimension`1`x`(%)->PositiveInteger`cPointCategory(R)``441326
odimension`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``441407
odimension`2`x`(%,List(VarSet))->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``441617
odimension`3`n`(List(%),SparseEchelonMatrix(JB,%),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``441720
odimension`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
odimensionOfIrreducibleRepresentation`1`x`(List(Integer))->NonNegativeInteger`pIrrRepSymNatPackage``441896
odimensions`5`n`(%,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``442124
odimensions`5`x`(%,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``442554
odimensionsOf`1`n`(%)->List(Polynomial(Integer))`dFortranType``442988
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``443053
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``443150
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``443247
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``443359
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``443471
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``443600
odiracDelta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``443775
odiracDelta`1`x`(%)->%`cSpecialFunctionCategory``443838
odirectedGraph`1`n`(FinitePoset(S))->%`dDirectedGraph(S)``443901
odirectedGraph`1`n`(List(Permutation(S)))->%`dDirectedGraph(S)``444052
odirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->%`dDirectedGraph(S)``444147
odirectedGraph`1`n`(List(S))->%`dDirectedGraph(S)``444292
odirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dDirectedGraph(S)``444566
odirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dDirectedGraph(S)``444713
odirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dDirectedGraph(S)``444814
odirection`1`n`(String)->Integer`pToolsForSign(R)``444999
odirections`1`n`(%)->List(JB)`dJetVectorField(JB,D)``445040
odirectory`1`x`(%)->String`cFileNameCategory``445157
odirectProduct`1`x`(Vector(R))->%`cDirectProductCategory(dim,R)``445229
odirectProduct`2`n`(%,%)->%`dGroupPresentation``445366
odirectSum`2`x`(%,%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`445408
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``445603
odisableAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``445836
odisableDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``445917
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(%)->NonNegativeInteger`cFiniteFieldCategory``445981
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(%,%)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``446110
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``446208
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``446352
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``446411
odiscriminant`1`n`(polR)->R`pPseudoRemainderSequence(R,polR)``446470
odiscriminant`1`n`(Vector(S))->R`xComplexCategory&(S,R)``0
odiscriminant`1`n`(Vector(S))->R`xFiniteRankAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(S))->R`xFramedAlgebra&(S,R,UP)``0
odiscriminant`1`x`(%)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`446538
odiscriminant`1`x`(Vector(%))->R`cFiniteRankAlgebra(R,UP)``446621
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`446717
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``446841
odiscriminantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
odispGenerators`1`n`(%)->OutputForm`dHomology``446956
odisplay`1`n`(Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F)))->OutputForm`pXDistributedPolynomialFunctions(VAR,F)``447000
odisplay`1`n`(String)->Void`dHTMLFormat``447130
odisplay`1`n`(String)->Void`dMathMLFormat``447193
odisplay`1`n`(String)->Void`dTexmacsFormat``447262
odisplay`1`n`(%)->Void`cOutputFormatterCategory``447331
odisplay`1`n`(%)->Void`dJetDifferentialEquation(JB,D)``447383
odisplay`1`n`(%)->Void`dTexFormat``447729
odisplay`1`x`(%)->Union((List(OutputForm))->OutputForm,"failed")`dBasicOperator``447911
odisplay`1`x`(%)->Void`dDatabase(S)``448031
odisplay`1`x`(%)->Void`dIndexCard``448108
odisplay`2`n`(%,Integer)->Void`dTexFormat``448194
odisplay`2`n`(%,List(Symbol))->OutputForm`dFreeDivisionAlgebra(VAR,F)``448331
odisplay`2`n`(%,OutputForm)->OutputForm`dFreeDivisionAlgebra(VAR,F)``448445
odisplay`2`x`(%,(List(OutputForm))->OutputForm)->%`dBasicOperator``448523
odisplay`2`x`(%,(OutputForm)->OutputForm)->%`dBasicOperator``448740
odisplayKind`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``448973
odisplayKind`1`x`(Symbol)->%`dGuessOption``449167
odisplayLines`1`n`(List(String))->Void`pFortranCodeTools``449361
odisplay_math?`1`n`(%)->Boolean`dTeXTree``449391
odisplay_math`1`n`(%)->%`dTeXTree``449490
odispStatement`1`n`(OutputForm)->Void`pFortranCodeTools``449570
odistance`2`n`(A,A)->Integer`xBinaryTreeCategory&(A,S)``0
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`n`(%,%)->DoubleFloat`cSPointCategory``449602
odistance`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
odistance`2`x`(%,%)->Integer`cRecursiveAggregate(S)``449893
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xFiniteGraph&(A,S)``0
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xPoset&(A,S)``0
odistance`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Integer`cFiniteGraph(S)``449991
odistanceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
odistanceMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``450189
odistanceSquared`2`n`(%,%)->DoubleFloat`cSPointCategory``450718
odistanceWeighted`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(W,"disjoint")`dWeightedGraph(S,W)``450980
odistFact`6`n`(Z,List(SparseUnivariatePolynomial(Z)),Record(contp:Z,factors:List(Record(irr:P,pow:NonNegativeInteger))),List(Z),List(OV),List(Z))->Union(Record(polfac:List(P),correct:Z,corrfact:List(SparseUnivariatePolynomial(Z))),"failed")`pLeadingCoefDetermination(OV,E,Z,P)``451056
odistinct_partition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``451551
odistinct_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``451879
odistinct_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``451997
odistribute`1`n`(S)->S`xExpressionSpace2&(S,K)``0
odistribute`1`x`(%)->%`cExpressionSpace2(K)``452232
odistribute`2`n`(S,S)->S`xExpressionSpace2&(S,K)``0
odistribute`2`x`(%,%)->%`cExpressionSpace2(K)``452415
odistributionByBooleanCumulants`1`x`(Sequence(R))->%`dDistribution(R)``452648
odistributionByBooleanCumulants`1`x`(Stream(R))->%`dDistribution(R)``452762
odistributionByClassicalCumulants`1`x`(Sequence(R))->%`dDistribution(R)``452876
odistributionByClassicalCumulants`1`x`(Stream(R))->%`dDistribution(R)``452987
odistributionByEvenMoments`1`x`(Sequence(R))->%`dDistribution(R)``453098
odistributionByEvenMoments`1`x`(Stream(R))->%`dDistribution(R)``453223
odistributionByFreeCumulants`1`x`(Sequence(R))->%`dDistribution(R)``453348
odistributionByFreeCumulants`1`x`(Stream(R))->%`dDistribution(R)``453456
odistributionByJacobiParameters`2`x`(Sequence(R),Sequence(R))->%`dDistribution(R)``453564
odistributionByJacobiParameters`2`x`(Stream(R),Stream(R))->%`dDistribution(R)``453688
odistributionByMoments`1`x`(Sequence(R))->%`dDistribution(R)``453812
odistributionByMoments`1`x`(Stream(R))->%`dDistribution(R)``453907
odistributionByMonotoneCumulants`1`x`(Sequence(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`454002
odistributionByMonotoneCumulants`1`x`(Stream(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`454118
odistributionBySTransform`1`x`(Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R)))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`454234
odistributionBySTransform`1`x`(UPSR)->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``454351
odistributionBySTransform`3`x`(Fraction(Integer),Fraction(Integer),Sequence(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`454452
odivergence`2`n`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``454569
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``454722
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`n`(%,%)->Union(Record(lm:%,rm:%),"failed")`dFreeMonoid(S)``454833
odivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cEuclideanDomain``455050
odivide`2`x`(%,%)->Record(quotient:%,remainder:%)`dNonNegativeInteger``455281
odivide!`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``455365
odivide!`4`n`(U32Vector,U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``455548
odivideExponents`2`x`(%,NonNegativeInteger)->Union(%,"failed")`cUnivariatePolynomialCategory(R)``455576
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``455807
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``455947
odivisor`1`n`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`1`n`(R)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->%`cFiniteDivisorCategory(F,UP,UPUP,R)``456279
odivisor`1`x`(R)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``456353
odivisor`2`n`(F,F)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`2`x`(F,F)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``456424
odivisor`3`n`(F,F,Integer)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`3`n`(R,UP,UP)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`3`x`(F,F,Integer)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``456535
odivisor`3`x`(R,UP,UP)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``456707
odivisor`5`n`(R,UP,UP,UP,F)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`5`x`(R,UP,UP,UP,F)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``456923
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``457235
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``457592
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``458017
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``458087
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``458147
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``458207
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``458267
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``458356
odoFactor`3`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer,Boolean)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``458442
odo_liou`2`n`(BasicOperator,List(Complex(F)))->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``458675
odom`1`x`(%)->SExpression`dAny``458738
odomainOf`1`x`(%)->OutputForm`dAny``458864
odo_match`2`n`(SExpression,String)->Boolean`pBrowserInformation``458988
odominantTerm`1`n`(%)->Union(Record(%term:Record(%coef:UnivariatePuiseuxSeries(FE,var,cen),%expon:ExponentialOfUnivariatePuiseuxSeries(FE,var,cen),%expTerms:List(Record(k:Fraction(Integer),c:FE))),%type:String),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``459090
odo_modular_solve`6`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,U32Vector,Integer,Symbol)->Union(Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer)),"no_solution")`pInnerModularHermitePade``0
odo_param_RDE`5`n`(F,F,List(F),Symbol,List(Kernel(F)))->Union(Record(ratpart:F,coeffs:Vector(F)),"failed")`pElementaryRischDEX2(R,F)``459489
odo_poly_integer`8`n`(List(Symbol),List(PrimitiveArray(Fraction(Polynomial(Integer)))),Vector(Integer),NonNegativeInteger,U32Vector,Symbol,Symbol,(List(U32Vector),Integer,Integer)->Vector(U32Vector))->Union(Record(defects:Vector(Integer),cinds:Vector(Integer),rowlen:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:PrimitiveArray(Integer)),"no_solution")`pInnerModularHermitePade``0
odo_quo`2`n`(PS,PS)->Union(PS,"failed")`dElementaryFunctionsGeneralizedUnivariatePowerSeries(Coef,Expon,PS)``0
odo_risch_DE`4`n`(F,F,Symbol,List(Kernel(F)))->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``459848
odot`1`n`(%)->%`dOutputForm``460133
odot`2`n`(%,NonNegativeInteger)->%`dOutputForm``460194
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``460273
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`x`(%,%)->R`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`460452
odot`2`x`(%,%)->R`cVectorCategory(R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`460541
odouble?`1`n`(%)->Boolean`dFortranScalarType``460694
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``460793
odoubleComplex?`1`n`(%)->Boolean`dFortranScalarType``460877
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``460997
odoubleFloatFormat`1`x`(String)->String`dDoubleFloat``461039
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``461114
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``461272
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``461460
odo_with_error_env1`1`n`(()->List(String))->List(String)`pFortranCodeTools``461681
odo_with_error_env2`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``461717
odo_with_error_env3`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``461769
odowncase`1`n`(String)->String`pBrowserInformation``461821
odP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`dJetDifferential(JB,D)``461880
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``461949
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462035
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462160
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``462302
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``462472
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``462611
odraw`2`x`(ParametricComplexCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``462788
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462871
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``463037
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``463259
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``463441
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``463681
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``463877
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``464179
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``464395
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``464625
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``464886
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``465137
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``465301
odraw`3`x`(ParametricComplexCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``465531
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``465617
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``465874
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``466187
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``466457
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``466792
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``467066
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``467400
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``467691
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``467994
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``468190
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``468532
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``468771
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``469133
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``469562
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``470399
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``471112
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``471336
odrawStyle`2`x`(%,String)->Void`dThreeDimensionalViewport``471735
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``472125
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``472211
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``472408
odSubst`3`n`(%,JB,%)->%`cJetBundleFunctionCategory(JB)``472466
odSubst`3`n`(S,JB,S)->S`xJetBundleFunctionCategory&(S,JB)``0
odU`1`n`(PositiveInteger)->%`dJetDifferential(JB,D)``472630
odunceHat`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``472691
odunceHat`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``472740
oduplicates?`1`n`(%)->Boolean`dListMultiDictionary(S)``472794
oduplicates`1`x`(%)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``472875
odX`1`n`(PositiveInteger)->%`dJetDifferential(JB,D)``472962
oe`1`x`(PositiveInteger)->%`dCliffordAlgebra(n,K,bLin)``473023
oee`1`x`(List(PositiveInteger))->%`dCliffordAlgebra(n,K,bLin)``473180
oeFromBinaryMap`1`x`(NonNegativeInteger)->%`dCliffordAlgebra(n,K,bLin)``473219
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``473420
oEi`1`x`(%)->%`cLiouvillianFunctionCategory``473480
oEi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``473607
oEi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oEi`1`x`(Float)->Float`pFloatLiouvilianFunctions``473667
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``473727
oeigenvalues`1`n`(Matrix(F))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`473870
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`473947
oeigenvalues`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``474024
oeigenvector`2`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``474251
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``474380
oeigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`474509
oeigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`474858
oeigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``475204
oei_int`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX(R,F)``475609
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``475851
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``476018
oelem?`1`n`(%)->Boolean`dIntegrationResult(F)``476169
oelement?`2`x`(DPoly,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``476253
oelement`3`n`(M,Integer,Integer)->M`pMatrixManipulation(R,Row,Col,M)``476351
oelementary`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``476460
oelements`1`n`(%)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``476584
oeliminationEquations`11`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`476676
oeliminationEquations`11`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Polynomial(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`476911
oeliminationEquations`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`477208
oeliminationGroebner`11`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Polynomial(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`477380
oeliminationSolve`1`n`(List(Polynomial(R)))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`477641
oeliminationSolve`2`n`(Polynomial(R),List(R))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`477732
oeliminationSolve`3`n`(List(Polynomial(R)),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`477883
oeliminationSolve`3`n`(Polynomial(R),List(R),List(Equation(Polynomial(R))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`478183
oeliminationSolve`3`n`(Polynomial(R),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`478384
oeliminationTransformations`5`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`478594
oeliminationTransformations`6`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(Equation(Polynomial(R))))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`478838
oeliminationTransformations`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),Symbol,List(NonNegativeInteger),List(NonNegativeInteger),Symbol)->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`479001
oelimZeroCols!`1`n`(%)->Void`dSparseEchelonMatrix(C,D)``479265
oellipseBoundary`2`n`(PT,PT)->%`dSBoundary(PT)``479401
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``479638
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``479762
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``479886
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``480108
oellipticE`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``480377
oellipticE`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``480528
oellipticE`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``480608
oellipticE`1`x`(%)->%`cSpecialFunctionCategory``480689
oellipticE`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``480840
oellipticE`1`x`(Float)->Float`pFloatEllipticFunctions``480920
oellipticE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``481001
oellipticE`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`481160
oellipticE`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``481261
oellipticE`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``481347
oellipticE`2`x`(%,%)->%`cSpecialFunctionCategory``481433
oellipticE`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``481592
oellipticE`2`x`(Float,Float)->Float`pFloatEllipticFunctions``481678
oellipticF`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``481764
oellipticF`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`481923
oellipticF`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``482024
oellipticF`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``482109
oellipticF`2`x`(%,%)->%`cSpecialFunctionCategory``482194
oellipticF`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``482353
oellipticF`2`x`(Float,Float)->Float`pFloatEllipticFunctions``482438
oellipticK`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``482523
oellipticK`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``482673
oellipticK`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``482758
oellipticK`1`x`(%)->%`cSpecialFunctionCategory``482838
oellipticK`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``482988
oellipticK`1`x`(Float)->Float`pFloatEllipticFunctions``483071
oellipticPi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``483151
oellipticPi`3`n`(UTS,Coef,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`483329
oellipticPi`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``483435
oellipticPi`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``483524
oellipticPi`3`x`(%,%,%)->%`cSpecialFunctionCategory``483613
oellipticPi`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``483791
oellipticPi`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``483880
oellipticRC`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``483969
oellipticRC`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``484080
oellipticRD`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``484191
oellipticRD`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``484320
oellipticRF`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``484449
oellipticRF`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``484578
oellipticRJ`4`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``484707
oellipticRJ`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``484871
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``485014
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``485134
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`10`x`(BasicOperator,%,%,%,%,%,%,%,%,%)->%`cExpressionSpace2(K)``485276
oelt`1`n`(%)->S`dReference(S)``485457
oelt`1`x`(%)->R`dCartesianTensor(minix,dim,R)``485507
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xListAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xListAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xListAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"left")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xListAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"right")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xListAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(BasicOperator,List(%))->%`dPattern(R)``485568
oelt`2`n`(BasicOperator,List(S))->S`xExpressionSpace2&(S,K)``0
oelt`2`n`(BasicOperator,List(S))->S`xFunctionSpace2&(S,R,K)``0
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace2&(S,K)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`2`n`(Fraction(S),Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(S),R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(%,Integer)->R`cSequenceCategory(R)``485637
oelt`2`n`(%,List(%))->%`dOutputForm``485708
oelt`2`n`(%,NonNegativeInteger)->F`dFreeDivisionAlgebra(VAR,F)``485808
oelt`2`n`(%,R)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``485885
oelt`2`n`(S,Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Index)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`2`n`(S,Integer)->Character`xStringAggregate&(S)``0
oelt`2`n`(S,Key)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`2`n`(S,R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,R)->S`xFullyEvalableOver&(S,R)``0
oelt`2`n`(S,S)->S`xStringAggregate&(S)``0
oelt`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,UniversalSegment(Integer))->S`xStringAggregate&(S)``0
oelt`2`x`(BasicOperator,%)->%`cExpressionSpace2(K)``485944
oelt`2`x`(BasicOperator,List(%))->%`cExpressionSpace2(K)``486042
oelt`2`x`(%,"count")->NonNegativeInteger`dDataList(S)``486195
oelt`2`x`(%,%)->%`cStringAggregate``486263
oelt`2`x`(%,D)->I`cEltable(D,I)``486475
oelt`2`x`(%,DirectProduct(n,K))->K`dQuadraticForm(n,K)``486634
oelt`2`x`(%,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``486742
oelt`2`x`(%,"first")->S`cUnaryRecursiveAggregate(S)``486896
oelt`2`x`(Fraction(%),Fraction(%))->Fraction(%)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`486991
oelt`2`x`(Fraction(%),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`487127
oelt`2`x`(%,Integer)->%`cSExpressionCategory(Str,Sym,Int,Flt)``487276
oelt`2`x`(%,Integer)->R`cFramedNonAssociativeAlgebra(R)``487338
oelt`2`x`(%,Integer)->R`dCartesianTensor(minix,dim,R)``487459
oelt`2`x`(%,"last")->S`cUnaryRecursiveAggregate(S)``487521
oelt`2`x`(%,"left")->%`cBinaryRecursiveAggregate(S)``487613
oelt`2`x`(%,List(Integer))->%`cSExpressionCategory(Str,Sym,Int,Flt)``487705
oelt`2`x`(%,List(Integer))->R`dCartesianTensor(minix,dim,R)``487927
oelt`2`x`(%,List(OutputForm))->%`dSymbol``488008
oelt`2`x`(%,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``488132
oelt`2`x`(%,QueryEquation)->%`dDatabase(S)``488214
oelt`2`x`(%,"rest")->%`cUnaryRecursiveAggregate(S)``488297
oelt`2`x`(%,"right")->%`cBinaryRecursiveAggregate(S)``488389
oelt`2`x`(%,"sort")->%`dDataList(S)``488484
oelt`2`x`(%,S)->S`cPermutationCategory(S)``488574
oelt`2`x`(%,Symbol)->Any`dLibrary``488661
oelt`2`x`(%,Symbol)->DataList(String)`dDatabase(S)``488792
oelt`2`x`(%,Symbol)->String`dIndexCard``488874
oelt`2`x`(%,"unique")->%`dDataList(S)``489046
oelt`2`x`(%,"value")->S`cRecursiveAggregate(S)``489156
oelt`3`n`(A,Integer,S)->S`xLazyStreamAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xListAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
oelt`3`n`(BasicOperator,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`3`n`(BasicOperator,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`3`n`(%,Integer,C)->D`dSparseEchelonMatrix(C,D)``489251
oelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``489374
oelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``489485
oelt`3`n`(S,F,F)->F`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oelt`3`n`(S,Index,Entry)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`3`n`(S,Integer,Character)->Character`xStringAggregate&(S)``0
oelt`3`n`(S,Integer,Integer)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Integer),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`x`(BasicOperator,%,%)->%`cExpressionSpace2(K)``489567
oelt`3`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)``489692
oelt`3`x`(%,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``489822
oelt`3`x`(%,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``489962
oelt`3`x`(%,F,PositiveInteger)->F`dRuleset(Base,R,F)``490083
oelt`3`x`(%,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``490212
oelt`3`x`(%,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``490376
oelt`3`x`(%,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``490546
oelt`3`x`(%,Integer,List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``490611
oelt`3`x`(%,Integer,List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``490873
oelt`3`x`(%,List(Integer),Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``491073
oelt`3`x`(%,List(Integer),List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``491335
oelt`3`x`(%,List(Integer),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``491684
oelt`3`x`(%,List(Segment(Integer)),Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``491818
oelt`3`x`(%,List(Segment(Integer)),List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``492018
oelt`3`x`(%,List(Segment(Integer)),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``492210
oelt`3`x`(%,Segment(Integer),List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``492401
oelt`3`x`(%,Segment(Integer),List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``492535
oelt`3`x`(%,Segment(Integer),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``492726
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``492860
oelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``492980
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`x`(BasicOperator,%,%,%)->%`cExpressionSpace2(K)``493054
oelt`4`x`(%,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``493203
oelt`4`x`(%,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``493271
oelt`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``493480
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`5`x`(BasicOperator,%,%,%,%)->%`cExpressionSpace2(K)``493687
oelt`5`x`(%,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``493857
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`6`x`(BasicOperator,%,%,%,%,%)->%`cExpressionSpace2(K)``493928
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`7`x`(BasicOperator,%,%,%,%,%,%)->%`cExpressionSpace2(K)``494057
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`8`x`(BasicOperator,%,%,%,%,%,%,%)->%`cExpressionSpace2(K)``494199
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`9`x`(BasicOperator,%,%,%,%,%,%,%,%)->%`cExpressionSpace2(K)``494354
oeltable?`1`n`(F)->Boolean`pRecurrenceOperator(R,F)``494522
oempty`0`n`()->%`dOutputBox``494626
oempty`0`n`()->%`dOutputForm``494664
oempty`0`n`()->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``494709
oempty`0`n`()->%`dSplittingNode(V,C)``494769
oempty`0`n`()->%`dSymbolTable``494854
oempty`0`n`()->%`dTheSymbolTable``494910
oempty`0`x`()->%`cAggregate``494967
oempty?`1`n`(%)->Boolean`cFacetCategory``495157
oempty?`1`n`(%)->Boolean`dLatticeJoinOfMeets``495225
oempty?`1`n`(%)->Boolean`dLatticeMeetOfJoins``495253
oempty?`1`n`(%)->Boolean`dOutputBox``495281
oempty?`1`n`(%)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``495369
oempty?`1`n`(%)->Boolean`dSplittingNode(V,C)``495491
oempty?`1`n`(%)->Boolean`dXmlElement``495580
oempty`1`n`(Integer)->%`dVectorIntegerReconstructor``495667
oempty?`1`n`(OutputForm)->Boolean`pOutputFormTools``495733
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(S)->Boolean`xFacetCategory&(S)``0
oempty?`1`x`(%)->Boolean`cAggregate``495791
oempty`2`n`(Integer,Integer)->%`dVectorModularReconstructor``495849
oemptyLattice`0`n`()->%`dLatticeJoinOfMeets``495945
oemptyLattice`0`n`()->%`dLatticeMeetOfJoins``495979
oempty_mat`0`n`()->MMT`cModularFactorizationOperations(PA,MMT,MD,PMD)``496013
oempty_mat?`1`n`(MMT)->Boolean`cModularFactorizationOperations(PA,MMT,MD,PMD)``496087
oempty_poly`0`n`()->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``496181
oenableAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``496246
oenableDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``496325
oendOfFile?`1`x`(%)->Boolean`dTextFile``496387
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``496558
oenqueue!`2`x`(S,%)->S`cQueueAggregate(S)``496653
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``496740
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``496931
oenterPointData`2`x`(%,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``497174
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(%)->List(NonNegativeInteger)`dLoop``497378
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`x`(%)->List(Entry)`cIndexedAggregate(Index,Entry)``497448
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`x`(Entry,%)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(%,finiteAggregate),has(Entry,BasicType))`497550
oenumerate`0`n`()->List(S)`xFinite&(S)``0
oenumerate`0`n`()->Vector(%)`dSetOfMIntegersInOneToN(m,n)``497640
oenumerate`0`x`()->List(%)`cFinite``497736
oenvironment`4`n`(String,String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`dFormatLaTeX``497799
oenvironment`4`n`(String,String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`dFormatMathJax``498077
oepilogue`1`n`(%)->List(String)`dTexFormat``498355
oepilogue`1`n`(%)->OutputBox`dFormatter(F)``498435
oePseudoscalar`0`x`()->%`dCliffordAlgebra(n,K,bLin)``498605
oEpsilon`0`n`()->Symbol`pMathematicalSymbols``498630
oepsilon`0`n`()->Symbol`pMathematicalSymbols``498703
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oEQ`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``498774
oeq?`2`x`(%,%)->Boolean`cAggregate``498865
oeq`2`x`(%,%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``498938
oeqRep?`2`n`(%,%)->Boolean`dJetLazyFunction(JB,D)``499026
oequal?`4`n`(%,List(NonNegativeInteger),%,List(NonNegativeInteger))->Boolean`dLinearMultivariateMatrixPencil(R)``499225
oequality`2`x`(%,(%,%)->Boolean)->%`dBasicOperator``499391
oequation`2`x`(S,S)->%`dEquation(S)``499687
oequation`2`x`(Symbol,Segment(S))->%`dSegmentBinding(S)``499737
oequation`2`x`(Symbol,String)->%`dQueryEquation``499910
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``499964
oerf`1`x`(%)->%`cLiouvillianFunctionCategory``500012
oerf`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``500163
oerf`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerf`1`x`(Float)->Float`pFloatLiouvilianFunctions``500211
oerfi`1`n`(F)->F`pLiouvillianFunction(R,F)``500259
oerfi`1`x`(%)->%`cLiouvillianFunctionCategory``500312
oerfi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``500365
oerfi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerfi`1`x`(Float)->Float`pFloatLiouvilianFunctions``500418
oerror?`1`n`(%)->Boolean`cAIntervalCategory(R)``500471
oerror?`1`n`(S)->Boolean`xAIntervalCategory&(S,R)``0
oerror`1`x`(List(String))->Exit`pErrorFunctions``500640
oerror`1`x`(String)->Exit`pErrorFunctions``500717
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``500792
oerror`2`x`(String,String)->Exit`pErrorFunctions``500954
oerrorInfo`1`x`(%)->List(Symbol)`dOpenMathError``501120
oerrorKind`1`x`(%)->OpenMathErrorKind`dOpenMathError``501193
oEta`0`n`()->Symbol`pMathematicalSymbols``501273
oeta`0`n`()->Symbol`pMathematicalSymbols``501338
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``501401
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``501558
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``501889
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``502188
oeuclideanSize`1`n`(S)->NonNegativeInteger`xComplexCategory&(S,R)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xField&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xIntegerNumberSystem&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oeuclideanSize`1`x`(%)->NonNegativeInteger`cEuclideanDomain``502371
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``502482
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``502792
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`502939
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``503028
oeval1`1`n`(%)->%`dJetLazyFunction(JB,D)``503244
oeval1`4`n`(MP,Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(MP,"failed")`cModularEvaluationCategory(PT,MP)``503356
oeval1`4`n`(Polynomial(Integer),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Polynomial(Integer)`pPolynomialEvaluationUtilities``503491
oeval1`4`n`(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``503682
oeval1a`3`n`(Polynomial(Integer),Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Integer`pPolynomialEvaluationUtilities``503894
oeval`1`n`(%)->%`dJetLazyFunction(JB,D)``504127
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``504234
oeval`2`n`(A,Equation(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,Equation(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(A,List(Equation(A)))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,List(Equation(S)))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(%,D)->D`dJetVectorField(JB,D)``504304
oeval`2`n`(%,F)->F`dMoebiusTransform(F)``504389
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``504533
oeval`2`n`(%,JetVectorField(JB,D))->D`dJetDifferential(JB,D)``504757
oeval`2`n`(%,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``504848
oeval`2`n`(S,Equation(R))->S`xEvalable&(S,R)``0
oeval`2`n`(S,Equation(R))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xExpressionSpace2&(S,K)``0
oeval`2`n`(S,Equation(S))->S`xFunctionSpace2&(S,R,K)``0
oeval`2`n`(S,Equation(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,Equation(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xEvalable&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xExpressionSpace2&(S,K)``0
oeval`2`n`(S,List(Equation(S)))->S`xFunctionSpace2&(S,R,K)``0
oeval`2`n`(S,List(Equation(S)))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,List(Equation(S)))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(Stream(M),R)->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(M,RightModule(R))`504992
oeval`2`x`(%,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(^,Coef(Coef,Expon)))`505137
oeval`2`x`(%,%)->%`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`505256
oeval`2`x`(Distribution(R),UPS)->S`pDistributionPolynomialPackage(R,S,UPS)``505339
oeval`2`x`(%,Equation(R))->%`cEvalable(R)``505483
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``505555
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``505673
oeval`2`x`(%,List(%))->%`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`505928
oeval`2`x`(%,List(Equation(R)))->%`cEvalable(R)``506028
oeval`2`x`(MxN,(M,N)->S)->S`cTensorProductProperty(R,M,N,MxN,S)``506120
oeval`2`x`(%,S)->S`cPermutationCategory(S)``506219
oeval`3`n`(A,A,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(A),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(R))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`3`n`(A,List(V),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(V),List(R))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,S)->A`xHomogeneousAggregate&(A,S)``0
oeval`3`n`(A,V,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,V,R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(S,A,B)->S`xInnerEvalable&(S,A,B)``0
oeval`3`n`(S,BasicOperator,(List(S))->S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,BasicOperator,(List(S))->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,K,S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,K,S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(A),List(B))->S`xInnerEvalable&(S,A,B)``0
oeval`3`n`(S,List(BasicOperator),List((List(S))->S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(BasicOperator),List((List(S))->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(K),List(S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(K),List(S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(R),List(R))->S`xEvalable&(S,R)``0
oeval`3`n`(S,List(R),List(R))->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,List(SingletonAsOrderedSet),List(R))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(SingletonAsOrderedSet),List(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(S),List(S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(S),List(S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(S),List(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,List(S),List(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(Symbol),List((List(S))->S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(Symbol),List((List(S))->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(Symbol),List(R))->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(VarSet),List(R))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,List(VarSet),List(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,R,R)->S`xEvalable&(S,R)``0
oeval`3`n`(S,R,R)->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,SingletonAsOrderedSet,R)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,SingletonAsOrderedSet,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,S,S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,S,S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,Symbol,R)->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,VarSet,R)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,VarSet,S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(UPUP,Fraction(UP),Fraction(UP))->UPUP`pChangeOfVariable(F,UP,UPUP)``506307
oeval`3`x`(%,A,B)->%`cInnerEvalable(A,B)``506381
oeval`3`x`(%,BasicOperator,(%)->%)->%`cExpressionSpace2(K)``506452
oeval`3`x`(%,BasicOperator,(List(%))->%)->%`cExpressionSpace2(K)``506552
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``506687
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``506906
oeval`3`x`(%,List(A),List(B))->%`cInnerEvalable(A,B)``506987
oeval`3`x`(%,List(BasicOperator),List((%)->%))->%`cExpressionSpace2(K)``507084
oeval`3`x`(%,List(BasicOperator),List((List(%))->%))->%`cExpressionSpace2(K)``507224
oeval`3`x`(%,List(Symbol),List((%)->%))->%`cExpressionSpace2(K)``507401
oeval`3`x`(%,List(Symbol),List((List(%))->%))->%`cExpressionSpace2(K)``507541
oeval`3`x`(%,List(VarSet),List(%))->%`cFreeLieAlgebra(VarSet,R)``507718
oeval`3`x`(%,Symbol,(%)->%)->%`cExpressionSpace2(K)``507829
oeval`3`x`(%,Symbol,(List(%))->%)->%`cExpressionSpace2(K)``507929
oeval`3`x`(%,VarSet,%)->%`cFreeLieAlgebra(VarSet,R)``508064
oeval`4`n`(S,BasicOperator,S,Symbol)->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,List(BasicOperator),List(S),Symbol)->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((List(S))->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((S)->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(List(S))->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(S)->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`4`x`(%,BasicOperator,%,Symbol)->%`cFunctionSpace2(R,K)`has(R,ConvertibleTo(InputForm))`508135
oeval`4`x`(%,List(BasicOperator),List(%),Symbol)->%`cFunctionSpace2(R,K)`has(R,ConvertibleTo(InputForm))`508273
oeval`4`x`(%,List(Symbol),List(NonNegativeInteger),List((%)->%))->%`cFunctionSpace2(R,K)`has(R,Ring)`508451
oeval`4`x`(%,List(Symbol),List(NonNegativeInteger),List((List(%))->%))->%`cFunctionSpace2(R,K)`has(R,Ring)`508609
oeval`4`x`(%,Symbol,NonNegativeInteger,(%)->%)->%`cFunctionSpace2(R,K)`has(R,Ring)`508797
oeval`4`x`(%,Symbol,NonNegativeInteger,(List(%))->%)->%`cFunctionSpace2(R,K)`has(R,Ring)`508902
oeval_at`4`n`(U32Vector,Integer,Integer,Integer)->Integer`pU32VectorPolynomialOperations``509037
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``509205
oevaluate`2`n`(%,(R)->R)->%`dOperator(R)``0
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``509327
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``509557
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``509782
oevaluate`2`x`(%,(M)->M)->%`dModuleOperator(R,M)``509952
oevaluateInverse`2`n`(%,(R)->R)->%`dOperator(R)``0
oevaluateInverse`2`x`(%,(M)->M)->%`dModuleOperator(R,M)``510273
oeval_with_timeout`2`n`(()->S,Integer)->Union(S,"failed")`pTimeoutPackage(S)``510323
oeven?`1`n`(S)->Boolean`xExpressionSpace2&(S,K)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(%)->Boolean`cExpressionSpace2(K)`has(%,RetractableTo(Integer))`510509
oeven?`1`x`(%)->Boolean`cIntegerNumberSystem``510578
oeven?`1`x`(%)->Boolean`dPermutation(S)``510654
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``510783
oevenlambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
oevenlambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``510929
oevenlambert`1`n`(Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)``511306
oevery?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oevery?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oevery?`2`x`((S)->Boolean,%)->Boolean`cHomogeneousAggregate(S)`has(%,finiteAggregate)`511626
oexactQuotient!`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`511924
oexactQuotient!`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`512108
oexactQuotient`2`x`(%,R)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`512191
oexactQuotient!`2`x`(%,R)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`512375
oexists?`1`x`(%)->Boolean`cFileNameCategory``512459
oexp0`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``512529
oexp1`0`x`()->%`dDoubleFloat``512724
oexp1`0`x`()->%`dFloat``512797
oexp1`1`n`(PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``512857
oexp`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``512948
oexp`1`n`(F)->F`pElementaryFunction(R,F)``513015
oexp`1`n`(LiePolynomial(VarSet,R))->%`dLieExponentials(VarSet,R,Order)``513081
oexp`1`n`(List(Integer))->%`dAntiSymm(R,lVar)``513139
oexp`1`n`(S)->S`xComplexCategory&(S,R)``0
oexp`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``513211
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``513287
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``513363
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``513436
oexp`1`x`(%)->%`cElementaryFunctionCategory``513511
oexp`2`n`(%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`513574
oexp`2`n`(Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``513668
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``513768
oexpa`1`n`(%)->IntegerMod(n)`dDihedralGroup(n,a,b)``513857
oexpand`1`n`(%)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(%)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``513949
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``514011
oexpand`1`x`(%)->L`cSegmentExpansionCategory(S,L)``514417
oexpand`1`x`(List(%))->L`cSegmentExpansionCategory(S,L)``514596
oexpand`1`x`(%)->R`dFactored(R)``514830
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``515041
oexpand`2`x`(IntegrationResult(Fraction(Polynomial(R))),Symbol)->List(Expression(R))`pIntegrationResultRFToFunction(R)``515141
oexpand`2`x`(IntegrationResult(F),Symbol)->List(F)`pIntegrationResultToFunction(R,F)``515251
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``515361
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``515525
oexpandTrigProducts`1`x`(F)->F`pTranscendentalManipulations(R,F)`AND(has(R,ConvertibleTo(Pattern(R))),has(R,PatternMatchable(R)),has(F,ConvertibleTo(Pattern(R))),has(F,PatternMatchable(R)))`515638
oexpb`1`n`(%)->IntegerMod(2)`dDihedralGroup(n,a,b)``516013
oexpextint`4`n`((UP)->UP,(Integer,List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``516114
oexp_frac`3`n`(Integer,Integer,PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``0
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``516360
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``516445
oexpintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(Integer,F)->Record(ans:F,right:F,primpart:F,sol?:Boolean))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``516535
oexplicitEntries?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``516748
oexplicitlyEmpty?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``516886
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(%)->Boolean`cStreamAggregate(S)``517051
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``517249
oexp_lower_bound`7`n`(SparseUnivariatePolynomial(F),LaurentPolynomial(F,SparseUnivariatePolynomial(F)),Integer,Integer,List(Kernel(F)),F,(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Integer`pParametricRischDE(R,F)``517386
oexponent`1`n`(%)->E`dModuleMonomial(IS,E,ff)``517672
oexponent`1`n`(%)->Integer`dCyclicGroup(n,g)``517712
oexponent`1`n`(%)->Integer`dInfiniteCyclicGroup(g)``517789
oexponent`1`n`(%)->Integer`dMachineFloat``517866
oexponent`1`n`(%)->NonNegativeInteger`dIntegerLocalizedAtPrime(p)``517925
oexponent`1`n`(%)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``518080
oexponent`1`x`(%)->Integer`cFloatingPointSystem``518134
oexponenta`1`n`(%)->Integer`dDihedralGroup(n,a,b)``518234
oexponentb`1`n`(%)->Integer`dDihedralGroup(n,a,b)``518342
oexponential1`0`n`()->Float`pRandomFloatDistributions``518459
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``518502
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->%`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``518545
oexponentialOrder`1`n`(%)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``518681
oexponents`1`n`(%)->List(Integer)`dExtAlgBasis``518793
oexports`1`n`(SExpression)->Record(cats:List(Record(form:SExpression,condition:SExpression)),ops:List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))))`pBrowserInformation``518954
oexposed_constructor?`1`n`(Symbol)->Boolean`pBrowserInformation``519020
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``519139
oexpressIdealMember`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(%),%)->Union(List(%),"failed")`cPrincipalIdealDomain``519585
oexpression2Fortran1`3`n`(()->Symbol,OutputForm,Boolean)->List(String)`pFortranCodeTools``519786
oexpression2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``519844
oexprex`1`n`(OutputForm)->String`dHTMLFormat``519881
oEXPRR2F`1`n`(Expression(Integer))->F`pGuessFiniteFunctions(F)``0
oEXPRR2F`1`n`(Expression(Integer))->Fraction(Polynomial(R))`pGuessPolynomialFunctions(R)``0
oexprToGenUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``519957
oexprToGenUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``521987
oexprToPS`5`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``524017
oexprToPS`5`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``524205
oexprToPS`8`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE,(FE)->Boolean,(FE)->Boolean,(FE)->Boolean)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``524393
oexprToPS`8`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE,(FE)->Boolean,(FE)->Boolean,(FE)->Boolean)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``524742
oexpr_to_series`3`n`(Expression(Integer),Kernel(Expression(Integer)),Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(degree:OrderedExpression,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``525091
oexprToUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``525181
oexprToUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``527198
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``529215
oexp_series`2`n`(Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``0
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``529525
oexquo`2`n`(%,%)->%`dOutputForm``529584
oexquo`2`n`(S,R)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xMatrixCategory&(S,R,Row,Col)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xEuclideanDomain&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xField&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(Stream(A),Stream(A))->Union(Stream(A),"failed")`dStreamTaylorSeriesOperations(A)``529645
oexQuo`2`n`(%,%)->Union(%,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``529777
oexQuo`2`n`(%,%)->Union(%,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``529817
oexQuo`2`n`(%,%)->Union(%,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``529857
oexquo`2`x`(%,R)->Union(%,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`529897
oexquo`2`x`(%,R)->Union(%,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,EntireRing)`530033
oexquo`2`x`(%,R)->Union(%,"failed")`cMatrixOperationsCategory(R,Row,Col)`has(R,IntegralDomain)`530149
oexquo`2`x`(%,R)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`530295
oexquo`2`x`(%,%)->Union(%,"failed")`cEntireRing``530417
oexquo`2`x`(%,%)->Union(%,"failed")`dNonNegativeInteger``530546
oextend`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`x`(%,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``530684
oextend`2`x`(%,Integer)->%`cLazyStreamAggregate(S)``530785
oextend`2`x`(%,Integer)->%`cPAdicIntegerCategory(p)``531016
oextend`2`x`(%,Integer)->%`dContinuedFraction(R)``531098
oextend`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``531256
oextend`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``531413
oextend`2`x`(%,List(R))->%`cPointCategory(R)``531510
oextend`2`x`(%,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``531554
oextend`2`x`(%,P)->%`cTriangularSetCategory(R,E,V,P)``531648
oextend`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``531937
oextend`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``532230
oextendedALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``532325
oextendedCoords`1`n`(%)->List(DoubleFloat)`cSPointCategory``532432
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(%,%)->Record(coef1:%,coef2:%,generator:%)`cEuclideanDomain``532505
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`x`(%,%,%)->Union(Record(coef1:%,coef2:%),"failed")`cEuclideanDomain``532890
oextended_gcd`3`n`(U32Vector,U32Vector,Integer)->List(U32Vector)`pU32VectorPolynomialOperations``533100
oextendedint`3`n`(F,Symbol,List(F))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricIntegration(R,F)``533385
oextendedint`3`n`(Symbol,List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricIntegration(R,F)``533686
oextendedint`4`n`(F,Symbol,List(Kernel(F)),List(F))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricIntegration(R,F)``533894
oextendedLLL`1`n`(Matrix(Integer))->Record(lll:Matrix(Integer),trf:Matrix(Integer))`pLLLReduction``534121
oextendedLLL!`2`n`(Matrix(Integer),NonNegativeInteger)->Matrix(Integer)`pLLLReduction``534328
oextendedResultant`2`n`(%,%)->Record(resultant:R,coef1:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`534668
oextendedSubResultantGcd`2`n`(%,%)->Record(gcd:%,coef1:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`534825
oextendedSubResultantGcd`2`x`(%,%)->Record(gcd:%,coef1:%,coef2:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`535006
oextendIfCan`2`x`(%,P)->Union(%,"failed")`cTriangularSetCategory(R,E,V,P)``535169
oextendToPoint`2`n`(%,PT)->%`dSBoundary(PT)``535723
oextension`1`x`(%)->String`cFileNameCategory``535882
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``535949
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``536020
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``536159
oexteriorDifferential`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``536230
oexternal?`1`n`(%)->Boolean`dFortranType``536371
oexternalList`1`n`(%)->List(Symbol)`dSymbolTable``536457
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`x`(%)->S`cBagAggregate(S)``536546
oextract`3`n`(%,Integer,Integer)->%`dSparseEchelonMatrix(C,D)``536629
oextractBottom!`1`x`(%)->S`cDequeueAggregate(S)``536737
oextractClosed`1`n`(%)->Boolean`dSubSpace(n,R)``536874
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``537104
oextractIndex`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``537175
oextractPoint`1`n`(%)->Point(R)`dSubSpace(n,R)``537303
oextractProperty`1`n`(%)->SubSpaceComponentProperty`dSubSpace(n,R)``537462
oextractSplittingLeaf`1`n`(%)->Union(%,"failed")`dSplittingTree(V,C)``537613
oextractSymbol`1`n`(SparseEchelonMatrix(JB,%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``537754
oextractSymbol`1`n`(SparseEchelonMatrix(JB,S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
oextractSymbol`2`n`(%,Boolean)->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``537840
oextractTop!`1`x`(%)->S`cDequeueAggregate(S)``538031
oeyeDistance`2`x`(%,Float)->Void`dThreeDimensionalViewport``538163
oF2EXPRR`1`n`(F)->Expression(Integer)`pGuessFiniteFunctions(F)``0
oF2EXPRR`1`n`(Fraction(Polynomial(R)))->Expression(Integer)`pGuessPolynomialFunctions(R)``0
oF2FG`1`n`(F)->FG`pInnerTrigonometricManipulations(R,F,FG)``538358
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``538417
ofaceMap`2`n`(%,NonNegativeInteger)->List(List(Integer))`dDeltaComplex(VS)``538453
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`538702
ofactor`1`n`(FreeMonoid(VarSet))->List(%)`dLyndonWord(VarSet)``538808
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``538888
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`538963
ofactor`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``539019
ofactor`1`n`(%)->List(%)`dILogic``539197
ofactor`1`n`(%)->List(%)`dLatticeJoinOfMeets``539538
ofactor`1`n`(%)->List(%)`dLatticeMeetOfJoins``539879
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``540220
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``540317
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``540449
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``540524
ofactor`1`n`(S)->Factored(S)`xComplexCategory&(S,R)``0
ofactor`1`n`(S)->Factored(S)`xField&(S)``0
ofactor`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
ofactor`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ofactor`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``540615
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``540921
ofactor`1`n`(UP)->Factored(UP)`pUnivariateFiniteFieldFactorize(F,UP)``541002
ofactor`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)`has(F,PolynomialFactorizationExplicit)`541066
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``541279
ofactor`1`x`(%)->Factored(%)`cUniqueFactorizationDomain``541381
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``541462
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``541559
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``541680
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``541764
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``541949
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``542173
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``542285
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``542352
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``542474
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``542581
ofactor`2`n`(SparseUnivariatePolynomial(F),List(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``542728
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``542881
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``543111
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``543307
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``543466
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``543704
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``543842
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``544061
ofactor`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)),List(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),List(Expression(Integer)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``544211
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``544242
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``544493
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``544716
ofactorAndSplit`1`x`(%)->List(%)`dEquation(S)`has(S,IntegralDomain)`545026
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``545203
ofactorFraction`1`x`(%)->Fraction(Factored(S))`dFraction(S)`has(S,UniqueFactorizationDomain)`545430
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``545530
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``545676
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``545913
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(%)->%`cCombinatorialFunctionCategory``546004
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``546167
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``546321
ofactorials`1`x`(%)->%`cCombinatorialOpsCategory``546425
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``546529
ofactorials`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``546655
ofactorizationEquations`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``546781
ofactorizationGroebner`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``546877
ofactorizationSolve`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``546972
ofactorizationTransformations`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``547183
ofactorize`2`n`(%,NonNegativeInteger)->List(%)`dFreeDivisionAlgebra(VAR,F)``547289
ofactorList`1`x`(%)->List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger))`dFactored(R)``547435
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``547531
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``547582
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``547717
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``547801
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``547977
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``548116
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``548351
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``548700
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(%))->Factored(SparseUnivariatePolynomial(%))`cPolynomialFactorizationExplicit``548818
ofactors`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``548935
ofactors`1`n`(%)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``549065
ofactors`1`n`(%)->List(Record(gen:S,exp:NonNegativeInteger))`dFreeMonoid(S)``549150
ofactors`1`x`(%)->List(Record(factor:R,exponent:NonNegativeInteger))`dFactored(R)``549235
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``549525
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:NonNegativeInteger))`cFiniteFieldCategory``549604
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``549690
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``549802
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``549914
ofactorSquareFree`1`n`(UP)->Factored(UP)`pUnivariateFiniteFieldFactorize(F,UP)``550058
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``550162
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``550439
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``550679
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``551011
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``551315
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorSquareFreePolynomial`1`x`(SparseUnivariatePolynomial(%))->Factored(SparseUnivariatePolynomial(%))`cPolynomialFactorizationExplicit``551596
ofailed`0`n`()->%`dPatternMatchListResult(R,S,L)``551792
ofailed`0`n`()->%`dPatternMatchResult(R,S)``551839
ofailed?`1`n`(%)->Boolean`dPatternMatchListResult(R,S,L)``551886
ofailed?`1`n`(%)->Boolean`dPatternMatchResult(R,S)``551948
ofalse`0`x`()->%`cLogic``552010
offfg`3`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``552053
offfg`4`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``552135
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``552950
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``553009
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``553166
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``553325
ofilename`3`x`(String,String,String)->%`cFileNameCategory``553646
ofill!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
ofill!`2`n`(S,Entry)->S`xIndexedAggregate&(S,Index,Entry)``0
ofill!`2`n`(S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ofill!`2`x`(%,Entry)->%`cIndexedAggregate(Index,Entry)`has(%,shallowlyMutable)`553893
ofill!`2`x`(%,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``554018
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``554082
ofilter_ops`2`n`(SExpression,List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))))->List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))`pBrowserInformation``554141
ofilter_symbols`2`n`(SExpression,List(Symbol))->List(Symbol)`pBrowserInformation``554236
ofilterUntil`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``554339
ofilterUntil`2`x`((S)->Boolean,%)->%`dStream(S)``554417
ofilterWhile`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``554584
ofilterWhile`2`x`((S)->Boolean,%)->%`dStream(S)``554658
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`x`((S)->Boolean,%)->Union(S,"failed")`cCollection(S)``554828
ofindCycle`2`x`(NonNegativeInteger,%)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``554954
ofindNode`2`n`(%,String)->Scene(PT)`dSceneNamedPoints(PT)``555031
ofindNonZeroEntry`3`n`(Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`pXDistributedPolynomialFunctions(VAR,F)``555084
ofindPoint`2`n`(%,String)->PT`dSceneNamedPoints(PT)``555292
ofind_relation`2`n`(List(Float),NonNegativeInteger)->List(Integer)`pLLLReduction``555374
ofinite?`1`x`(%)->Boolean`dCardinalNumber``555504
ofinite?`1`x`(%)->Boolean`dOnePointCompletion(R)``555616
ofinite?`1`x`(%)->Boolean`dOrderedCompletion(R)``555670
ofiniteBasis`1`n`(%)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``555724
ofiniteLattice`1`n`(NonNegativeInteger)->%`dFiniteLattice(S,p)``555811
ofiniteLattice`1`n`(S)->%`dFiniteLattice(S,p)``555862
ofinitePoset`2`n`(List(S),List(List(Boolean)))->%`cPoset(S)``555914
ofinitePoset`2`n`(List(S),(S,S)->Boolean)->%`cPoset(S)``556013
ofintegrate`3`n`(()->%,Var,Coef)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`556163
ofintegrate`3`x`(()->%,Symbol,Coef)->%`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`556373
ofirst`1`n`(%)->A`dProduct(A,B)``556583
ofirst`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ofirst`1`n`(A)->S`xLinearAggregate&(A,S)``0
ofirst`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ofirst`1`n`(%)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``556645
ofirst`1`n`(%)->S`dFreeMonoid(S)``556719
ofirst`1`n`(S)->Entry`xIndexedAggregate&(S,Index,Entry)``0
ofirst`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
ofirst`1`n`(%)->VarSet`dFreeMagma(VarSet)``556780
ofirst`1`x`(%)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`556849
ofirst`1`x`(%)->S`cUnaryRecursiveAggregate(S)``557006
ofirst`1`x`(%)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``557114
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xLinearAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
ofirst`2`n`(%,NonNegativeInteger)->%`cSequenceCategory(R)``557264
ofirst`2`x`(%,NonNegativeInteger)->%`cLinearAggregate(S)``557341
ofirst`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)``557478
ofirstn`2`n`(%,NonNegativeInteger)->List(R)`cSequenceCategory(R)``557563
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``557635
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``557752
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``558061
ofixed_mr`3`n`(Record(mantissa:Integer,exponent:Integer),Integer,Record(default?:Boolean,trim_trailing_zeros?:Boolean,out_mode:String,spacing:Integer,separator:Character))->String`pFloatingPointConvertion``558309
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``558367
ofixedPoints`1`x`(%)->Set(S)`dPermutation(S)`has(S,Finite)`558489
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``558572
oflagFactor`3`x`(R,NonNegativeInteger,Union("nil","sqfr","irred","prime"))->%`dFactored(R)``558660
oflatten`1`n`(%)->%`dInputForm``558834
oflatten`1`n`(DirectedGraph(A))->A`xPoset&(A,S)``0
oflatten`1`n`(DirectedGraph(%))->%`cFiniteGraph(S)``559072
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``559262
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``559475
oflexibleArray`1`n`(List(S))->%`dIndexedFlexibleArray(S,mn)``559688
oflexibleArray`1`x`(List(S))->%`dFlexibleArray(S)``0
ofloat?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``559779
ofloat`1`x`(%)->Flt`cSExpressionCategory(Str,Sym,Int,Flt)``559867
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->%`cFloatingPointSystem``560003
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->%`cFloatingPointSystem``560060
ofloating_mr`3`n`(Record(mantissa:Integer,exponent:Integer),Integer,Record(default?:Boolean,trim_trailing_zeros?:Boolean,out_mode:String,spacing:Integer,separator:Character))->String`pFloatingPointConvertion``560115
ofloor`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``560190
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(%)->%`cRealNumberSystem``560266
ofloor`1`x`(%)->%`cSpecialFunctionCategory``560329
ofloor`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`560405
oflush`1`n`(%)->Void`dBasicFile``560481
oflush`1`x`(%)->Void`cFileCategory(Name,S)``560551
ofmecg`4`n`(S,E,R,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
ofmecg`4`x`(%,E,R,%)->%`cFiniteAbelianMonoidRing(R,E)`has(R,Ring)`560644
oforLoop`2`n`(SegmentBinding(Polynomial(Integer)),%)->%`dFortranCode``560719
oforLoop`3`n`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),%)->%`dFortranCode``560846
oformalDiff2`3`n`(List(%),PositiveInteger,SparseEchelonMatrix(JB,%))->Record(DSys:List(%),JVars:List(List(JB)))`cJetBundleFunctionCategory(JB)``560988
oformalDiff2`3`n`(List(S),PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DSys:List(S),JVars:List(List(JB)))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(%,PositiveInteger,SparseEchelonMatrix(JB,%))->Record(DPhi:%,JVars:List(JB))`cJetBundleFunctionCategory(JB)``561090
oformalDiff2`3`n`(S,PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DPhi:S,JVars:List(JB))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(%,List(NonNegativeInteger))->%`cJetBundleFunctionCategory(JB)``561365
oformalDiff`2`n`(List(%),PositiveInteger)->List(%)`cJetBundleFunctionCategory(JB)``561473
oformalDiff`2`n`(List(S),PositiveInteger)->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(%,PositiveInteger)->%`cJetBundleFunctionCategory(JB)``561619
oformalDiff`2`n`(S,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(S,PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oformat`1`n`(%)->OutputBox`dFormatter(F)``561749
oformat`1`n`(OutputForm)->%`dFormatter(F)``561828
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``561912
oformatConstant`1`n`(String)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``561999
oformatConstant`1`n`(String)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``562075
oformatExpression`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``562151
oformatExpression`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``562376
oformatExpression`1`n`(OutputForm)->OutputBox`cFormatterCategory``562601
oformatExpression`1`n`(OutputForm)->OutputBox`xFormatterCategory&(S)``562688
oformatExpression`2`n`(OutputForm,Integer)->OutputBox`cFormatterCategory``562775
oformatExpression`2`n`(OutputForm,Integer)->OutputBox`xFormatterCategory&(S)``563387
oformatFloat`1`n`(String)->OutputBox`cFormatterCategory``563999
oformatFloat`1`n`(String)->OutputBox`xFormatterCategory&(S)``564116
oformatFunction`2`n`(OutputBox,List(OutputBox))->OutputBox`cFormatterCategory``564233
oformatFunction`2`n`(OutputBox,List(OutputBox))->OutputBox`xFormatterCategory&(S)``564446
oformatFunctionSymbol`1`n`(String)->OutputBox`cFormatterCategory``564659
oformatFunctionSymbol`1`n`(String)->OutputBox`xFormatterCategory&(S)``564743
oformatInteger`1`n`(Integer)->OutputBox`cFormatterCategory``564827
oformatInteger`1`n`(Integer)->OutputBox`xFormatterCategory&(S)``564878
oFormatRadix`2`n`(Integer,Integer)->String`pNumberFormats``564929
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``565020
oformatStep`2`n`(OutputForm,Integer)->%`dFormatter(F)``565104
oformatString`1`n`(String)->OutputBox`cFormatterCategory``565217
oformatString`1`n`(String)->OutputBox`xFormatterCategory&(S)``565265
oformatSymbol`1`n`(String)->OutputBox`cFormatterCategory``565313
oformatSymbol`1`n`(String)->OutputBox`xFormatterCategory&(S)``565361
ofort_clean_lines`1`n`(List(String))->List(String)`pFortranCodeTools``0
ofortFormatHead`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol))->Void`pFortranCodeTools``565409
ofortFormatTypeLines`2`n`(String,List(String))->Void`pFortranCodeTools``565462
ofort_format_types`2`n`(String,List(OutputForm))->Void`pFortranCodeTools``565509
ofortran`3`n`(Symbol,FortranScalarType,FS)->%`dSimpleFortranProgram(R,FS)``565558
ofortranCarriageReturn`0`n`()->Void`dFortranTemplate``565736
ofortranCharacter`0`n`()->%`dFortranType``565838
ofortranComplex`0`n`()->%`dFortranType``565916
ofortranDouble`0`n`()->%`dFortranType``565990
ofortranDoubleComplex`0`n`()->%`dFortranType``566072
ofortranInteger`0`n`()->%`dFortranType``566159
ofortranLiteral`1`n`(String)->Void`dFortranTemplate``566233
ofortranLiteralLine`1`n`(String)->Void`dFortranTemplate``566318
ofortranLogical`0`n`()->%`dFortranType``566438
ofortranReal`0`n`()->%`dFortranType``566512
ofortranTypeOf`2`n`(Symbol,%)->FortranType`dSymbolTable``566580
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``566652
ofracPart`1`x`(%)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``566691
ofraction`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``566782
ofractionalTerms`1`x`(%)->List(Record(num:R,d_fact:R,d_exp:NonNegativeInteger))`dPartialFraction(R)``567019
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`567203
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``567343
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(%)->%`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`567414
ofractionPart`1`x`(%)->%`cRealNumberSystem``567541
ofractionPart`1`x`(%)->%`cSpecialFunctionCategory``567611
ofractionPart`1`x`(%)->Fraction(Integer)`dBinaryExpansion``567741
ofractionPart`1`x`(%)->Fraction(Integer)`dDecimalExpansion``567822
ofractionPart`1`x`(%)->Fraction(Integer)`dHexadecimalExpansion``567904
ofractionPart`1`x`(%)->Fraction(Integer)`dRadixExpansion(bb)``567990
ofractRadix`2`x`(List(Integer),List(Integer))->%`dRadixExpansion(bb)``568071
ofractRagits`1`x`(%)->Stream(Integer)`dRadixExpansion(bb)``568276
ofree?`1`n`(%)->Boolean`dLambda(UT)``568370
ofreeConvolution`2`n`(%,%)->%`cDistributionCategory(R)``568470
ofreeCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``568578
ofreeCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``568695
ofreeCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``568795
ofreeMultiplicativeConvolution`2`x`(%,%)->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`568895
ofreeOf?`2`n`(%,JB)->Boolean`cJetBundleFunctionCategory(JB)``569038
ofreeOf?`2`n`(S,JB)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace2&(S,K)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace2&(S,K)``0
ofreeOf?`2`x`(%,%)->Boolean`cExpressionSpace2(K)``569132
ofreeOf?`2`x`(%,Symbol)->Boolean`cExpressionSpace2(K)``569258
ofreePoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``569358
ofreeVariable?`2`n`(%,UT)->Boolean`dSKICombinators(UT)``569458
ofresnelC`1`n`(F)->F`pLiouvillianFunction(R,F)``569575
ofresnelC`1`x`(%)->%`cLiouvillianFunctionCategory``569639
ofresnelC`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``569759
ofresnelC`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelC`1`x`(Float)->Float`pFloatLiouvilianFunctions``569823
ofresnelS`1`n`(F)->F`pLiouvillianFunction(R,F)``569887
ofresnelS`1`x`(%)->%`cLiouvillianFunctionCategory``569951
ofresnelS`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``570071
ofresnelS`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelS`1`x`(Float)->Float`pFloatLiouvilianFunctions``570135
ofrobenius`1`n`(%)->%`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`570199
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``570286
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`x`(%)->%`cExtensionField(F)`has(F,Finite)`570327
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(%,NonNegativeInteger)->%`cExtensionField(F)`has(F,Finite)`570415
ofront`1`x`(%)->S`cQueueAggregate(S)``570508
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`570658
ofrst`1`x`(%)->S`cLazyStreamAggregate(S)``570749
ofsqrt`1`n`(F)->F`pGenerateEllipticIntegrals(F,UP,UPUP,R)``570934
ofullDisplay`1`x`(%)->Void`dDatabase(S)``570989
ofullDisplay`1`x`(%)->Void`dIndexCard``571067
ofullDisplay`3`x`(%,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``571151
ofullPartialFraction`1`x`(Fraction(UP))->%`dFullPartialFractionExpansion(F,UP)``571270
ofunction`2`n`(Symbol,List(%))->%`dJetBundleXExpression(JB)``571429
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``571526
ofunction`3`n`(%,List(Symbol),Symbol)->%`dInputForm``571595
ofunction`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``571713
ofunction`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``571858
ofunction`3`n`(Symbol,List(%),NonNegativeInteger)->%`dJetBundleExpression(JB)``572003
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``572168
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``572263
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``572336
ofunctionGraph`1`n`(List(Permutation(S)))->%`dFunctionGraph(S)``572414
ofunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:NonNegativeInteger,map:List(NonNegativeInteger))))->%`dFunctionGraph(S)``572466
ofunctionGraph`1`n`(List(S))->%`dFunctionGraph(S)``572570
ofunctionGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dFunctionGraph(S)``572840
ofunctionName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``572955
ofunctionName`1`x`(Symbol)->%`dGuessOption``573084
ofunctionNames`1`n`(List(GuessOption))->List(Symbol)`dGuessOptionFunctions0``573272
ofunctionNames`1`x`(List(Symbol))->%`dGuessOption``573408
ofundamentalGroup`1`n`(%)->GroupPresentation`dDeltaComplex(VS)``573565
ofundamentalGroup`1`n`(%)->GroupPresentation`dFiniteCubicalComplex(VS)``573630
ofundamentalGroup`1`n`(%)->GroupPresentation`dFiniteSimplicialComplex(VS)``574113
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dDeltaComplex(VS)``574633
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dFiniteCubicalComplex(VS)``574698
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dFiniteSimplicialComplex(VS)``575224
oGamma`0`n`()->Symbol`pMathematicalSymbols``575787
ogamma`0`n`()->Symbol`pMathematicalSymbols``575856
ogamma`0`x`()->Complex(Float)`pFloatLiouvilianFunctions``575923
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``575967
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``576045
oGamma`1`x`(%)->%`cSpecialFunctionCategory``576097
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oGamma`1`x`(Float)->Float`pFloatSpecialFunctions``576149
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``576201
oGamma`2`x`(%,%)->%`cSpecialFunctionCategory``576292
ogauge`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``576352
ogaugeHilbert`2`n`(NonNegativeInteger,List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``576553
ogaussianDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``576712
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``576805
ogbasisExtend`4`n`(List(Dpol),List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``576882
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``577141
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``577216
ogcd`1`n`(List(SparseUnivariatePolynomial(P)))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``577300
ogcd`1`n`(List(S))->S`xEuclideanDomain&(S)``0
ogcd`1`n`(List(S))->S`xField&(S)``0
ogcd`1`n`(List(S))->S`xGcdDomain&(S)``0
ogcd`1`n`(List(S))->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`1`n`(List(S))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`1`x`(List(%))->%`cGcdDomain``577384
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`577473
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``577546
ogcd`2`n`(R,S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``577640
ogcd`2`n`(S,S)->S`xEuclideanDomain&(S)``0
ogcd`2`n`(S,S)->S`xField&(S)``0
ogcd`2`n`(S,S)->S`xGcdDomain&(S)``0
ogcd`2`n`(S,S)->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`x`(%,%)->%`cGcdDomain``577734
ogcd`2`x`(%,%)->%`dNonNegativeInteger``577820
ogcd`2`x`(%,%)->%`dPositiveInteger``577933
ogcd`2`x`(R,%)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`578042
ogcd`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``578130
ogcd`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``578216
ogcd`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``578315
ogcdBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``578435
ogcdBasis`1`n`(Vector(R))->Vector(R)`pGcdBasis(R)``578501
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``578577
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``578676
ogcdDecomposition`1`n`(Vector(Fraction(R)))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``578778
ogcdDecomposition`1`n`(Vector(R))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``578941
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``579104
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xFiniteFieldCategory&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xGcdDomain&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xUnivariatePolynomialCategory&(S,R)``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(%),SparseUnivariatePolynomial(%))->SparseUnivariatePolynomial(%)`cGcdDomain``579186
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(%),SparseUnivariatePolynomial(%))->SparseUnivariatePolynomial(%)`cPolynomialFactorizationExplicit``579311
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``579421
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``579515
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``579617
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``579726
ogderiv`2`n`((Integer)->R,Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``579835
oGE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``579925
oge_minimal`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->List(Record(singularity:Record(point:Union(Expression(Integer),"infinity"),lpf:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dxt:PositiveInteger),fos:List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),mge:List(UnivariateLaurentSeries(Expression(Integer),var,cen))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``580015
ogen_ef`4`n`(F,UP,R,R)->Union(Record(result1:Fraction(UP),result2:F),"failed")`pGenerateEllipticIntegrals(F,UP,UPUP,R)``580046
ogeneralCoefficient`4`n`((NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D`pFractionFreeFastGaussian(D,V)``580119
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteLambertProduct(Coef,UTS)``580484
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(VF),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussianFractions(D,V,VF)``580647
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``581081
ogeneralInterpolation`5`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``581898
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``582087
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``582188
ogeneralizedEigenvector`2`n`(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``582306
ogeneralizedEigenvector`2`x`(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``582487
ogeneralizedEigenvector`4`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``582668
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``582942
ogeneralizedEigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`583216
ogeneralizedEigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),geneigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`583318
ogeneralizedEigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``583420
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`583578
ogeneralizedMoebiusFunction`2`n`(List(P),(P,P)->R)->%`dGeneralizedFiniteMoebiusFunction(P,R)``583808
ogeneralLambert`3`n`(%,Integer,Integer)->%`dUnivariateFormalPowerSeries(Coef)``0
ogeneralLambert`3`n`(%,Integer,Integer)->%`dUnivariateTaylorSeries(Coef,var,cen)``583891
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`dStreamTaylorSeriesOperations(A)``584118
ogeneral_Lambert_product`3`n`(Stream(A),Integer,Integer)->Stream(A)`dStreamTaylorSeriesOperations(A)``584316
ogeneral_mr`3`n`(Record(mantissa:Integer,exponent:Integer),Integer,Record(default?:Boolean,trim_trailing_zeros?:Boolean,out_mode:String,spacing:Integer,separator:Character))->String`pFloatingPointConvertion``584526
ogeneralPosition`2`x`(%,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:%)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``584588
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``584770
ogenerator`0`n`()->%`dCyclicGroup(n,g)``584917
ogenerator`0`n`()->%`dInfiniteCyclicGroup(g)``584966
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`585015
ogenerator`0`x`()->%`cMonogenicAlgebra(R,UP)``585154
ogenerator`1`n`(NonNegativeInteger)->%`dAntiSymm(R,lVar)``585219
ogenerator`1`n`(NonNegativeInteger)->%`dDeRhamComplex(CoefRing,listIndVar)``585309
ogenerator`1`x`(NonNegativeInteger)->%`dFreeNilpotentLie(n,class,R)``585395
ogenerator`1`x`(%)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``585459
ogenerator`3`x`(%,Integer,List(UP))->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``585600
ogenerators`0`n`()->List(%)`cFinitelyGenerated``585908
ogenerators`1`x`(%)->List(DPoly)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``585967
ogenerators`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``586048
ogeneric`0`n`()->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``586123
ogeneric?`1`n`(%)->Boolean`dPattern(R)``586287
ogeneric`1`n`(Symbol)->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``586362
ogeneric`1`n`(Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``586523
ogeneric`1`n`(Vector(Symbol))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``586689
ogeneric`2`n`(Symbol,Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``586889
ogeneric`2`n`(Vector(Symbol),Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``587046
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`587269
ogenericLeftMinimalPolynomial`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`587595
ogenericLeftNorm`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`587742
ogenericLeftTrace`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`588015
ogenericLeftTraceForm`2`n`(%,%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`588257
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``588401
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`588543
ogenericRightMinimalPolynomial`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`588870
ogenericRightNorm`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`589020
ogenericRightTrace`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`589260
ogenericRightTraceForm`2`n`(%,%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`589467
ogen_exp`4`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),Union(Expression(Integer),"infinity"),(SparseUnivariatePolynomial(Expression(Integer)),List(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),List(Expression(Integer)))->List(Record(ecs:List(UnivariateLaurentSeries(Expression(Integer),var,cen)),ecr:UnivariatePolynomial(var,Expression(Integer)),ect:Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``589616
ogen_Monte_Carlo_check`6`n`((List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"),List(List(F)),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector))->(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution")`pModularHermitePadeSolver(F,S)``589647
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``589850
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``589930
ogenVectorStream2`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``590010
ogenVectorStream`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``590097
ogeometric`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``590286
ogetArr`1`n`(%)->List(List(Boolean))`cPoset(S)``590327
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ogetArrowIndex`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``590482
ogetArrows`1`n`(A)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`xPoset&(A,S)``0
ogetArrows`1`n`(%)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`cFiniteGraph(S)``590573
ogetBadValues`1`n`(%)->List(Any)`dPattern(R)``590644
ogetBoundValue`1`n`(%)->NonNegativeInteger`dLambda(UT)``590785
oget_call`1`n`(%)->Record(name:String,args:List(%))`dTeXTree``590867
ogetCentre`1`n`(%)->PT`dSBoundary(PT)``590952
oget_char`1`n`(MD)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``591051
ogetChildren`1`n`(%)->List(%)`dILogic``591143
ogetChildren`1`n`(%)->List(%)`dLambda(UT)``591218
ogetChildren`1`n`(%)->List(%)`dLatticeJoinOfMeets``591341
ogetChildren`1`n`(%)->List(%)`dLatticeMeetOfJoins``591416
ogetChildren`1`n`(%)->List(%)`dSKICombinators(UT)``591491
ogetCode`1`n`(%)->List(String)`dFortranCode``591566
ogetCurve`1`n`(%)->Curve`dTubePlot(Curve)``591703
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``591847
ogetDialect`0`n`()->Symbol`dTexFormat``592100
oget_elliptics`2`n`((UP)->UP,F)->List(Record(f_form:R,e_form:R,f_var:F,f_pol:UP))`pGenerateEllipticIntegrals(F,UP,UPUP,R)``592159
ogetEq`1`n`(F)->F`pRecurrenceOperator(R,F)``592299
oget_extension_degree`1`n`(MD)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``592418
oget_fort_indent`0`n`()->Integer`pFortranCodeTools``592538
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``592613
ogetGraph`2`n`(%,PositiveInteger)->GraphImage`dTwoDimensionalViewport``592691
ogetIndexes`1`n`(%)->List(NonNegativeInteger)`dOrientedFacet``592931
ogetIndexesSigned`1`n`(%)->List(Integer)`dOrientedFacet``592962
ogetIndexs`1`n`(%)->List(Record(left:NonNegativeInteger,right:NonNegativeInteger))`dProductFacet``593023
ogetIntervals`1`n`(%)->List(Segment(Integer))`dCubicalFacet``593051
ogetMatch`2`n`(Pattern(R),%)->Union(S,"failed")`dPatternMatchResult(R,S)``593107
oget_math`1`n`(%)->%`dTeXTree``593264
ogetMax`1`n`(%)->PT`dSBoundary(PT)``593337
ogetMaxLeft`1`n`(%)->NonNegativeInteger`dProductFacet``593430
ogetMaxRight`1`n`(%)->NonNegativeInteger`dProductFacet``593464
ogetMin`1`n`(%)->PT`dSBoundary(PT)``593499
oget_mod`1`n`(PMD)->MD`cModularFactorizationOperations(PA,MMT,MD,PMD)``593592
ogetMult`1`n`(%)->Integer`cFacetCategory``593660
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``593694
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``593788
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``593882
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``593976
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``594153
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``594330
ogetName`1`n`(%)->String`cVarCat``594507
ogetNames`1`n`(%)->List(String)`dSceneNamedPoints(PT)``594548
ogetNotation`0`n`()->Symbol`cJetBundleCategory``594612
ogetNotation`0`n`()->Symbol`cJetBundleFunctionCategory(JB)``0
ogetNotation`0`n`()->Symbol`xJetBundleFunctionCategory&(S,JB)``0
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``594675
oget_output_mode`0`x`()->Record(mode:String,prec:Integer)`dFloat``594849
ogetPickedPoints`1`n`(%)->List(Point(DoubleFloat))`dTwoDimensionalViewport``594923
oget_rational_roots`1`n`(UP)->List(Fraction(Integer))`pPolynomialRationalRoots(F,UP)``595220
oget_rational_roots`2`n`(F,Kernel(F))->List(Fraction(Integer))`pFunctionSpaceRationalRoots(R,F)``595289
ogetRef`1`n`(%)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``595406
ogetSimplifyDenomsFlag`0`x`()->Boolean`dExpression(R)`has(R,IntegralDomain)`595522
ogetStatement`2`n`(OutputForm,Boolean)->List(String)`pFortranCodeTools``595648
ogetStream`1`n`(%)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``595695
oget_text`1`n`(%)->String`dTeXTree``595784
oget_token!`1`n`(Record(str:String,pos:Integer))->Union(text:String,lbrace:"lbrace",rbrace:"rbrace",tmath:"tmath",dmath:"dmath",macro_name:Record(name:String),eos:"eos",error:"error")`pTeXScanner``595855
ogetType`0`n`()->InputForm`pInputFormFunctions1(R)``595961
ogetType`1`n`(%)->ILogic`cVarCat``596034
oget_used_intrinsics`0`n`()->List(String)`pFortranCodeTools``596231
oget_value`1`x`(%)->VT`dParametricComplexCurve(VT)``0
ogetVariable`1`n`(%)->UT`dLambda(UT)``596296
ogetVariable`1`n`(%)->UT`dSKICombinators(UT)``596406
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``596482
oget_variables`3`n`(List(List(Fraction(Polynomial(Integer)))),Symbol,Symbol)->List(Symbol)`pModularHermitePade``0
ogetVert`1`n`(%)->List(S)`cPoset(S)``596669
ogetVertexIndex`2`n`(A,S)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetVertexIndex`2`n`(%,S)->NonNegativeInteger`cFiniteGraph(S)``596854
ogetVertices`1`n`(A)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`xPoset&(A,S)``0
ogetVertices`1`n`(%)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`cFiniteGraph(S)``596944
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``597044
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``597173
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``597311
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``597449
oglb`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
oglb`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``597581
ognuDraw`3`x`(Expression(Float),SegmentBinding(Float),String)->Void`pGnuDraw``597838
ognuDraw`3`x`(List(DoubleFloat),List(DoubleFloat),String)->Void`pGnuDraw``597898
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String)->Void`pGnuDraw``597978
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``598046
ognuDraw`4`x`(List(DoubleFloat),List(DoubleFloat),String,List(DrawOption))->Void`pGnuDraw``598102
ognuDraw`5`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``598178
ogoodPoint`2`n`(List(UPUP),UPUP)->F`pChangeOfVariable(F,UP,UPUP)``598242
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``598421
ogotoJump`1`n`(SingleInteger)->%`dFortranCode``598971
ograde`1`n`(%)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``599050
ograde`1`n`(%)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``599218
ograde`1`x`(%)->NonNegativeInteger`dCliffordAlgebra(n,K,bLin)``599460
ogradeInvolution`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``599578
ogradient`2`n`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``599635
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``599816
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``599973
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``600145
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``600303
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``600516
ographImage`0`n`()->%`dGraphImage``600924
ographs`1`n`(%)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``601109
ographs`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``601435
ographState`14`n`(%,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``601608
ographStates`1`n`(%)->Vector(Record(scaleX:DoubleFloat,scaleY:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat,points:Integer,connect:Integer,spline:Integer,axes:Integer,axesColor:Palette,units:Integer,unitsColor:Palette,showing:Integer))`dTwoDimensionalViewport``602645
ogreen`0`x`()->%`dColor``602902
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``602979
ogroebner`1`n`(List(Dpol))->List(Dpol)`pNGroebnerPackage(Dom,Expon,Dpol)``603016
ogroebner`1`n`(List(%))->List(%)`dDistributedJetBundlePolynomial(R,JB,LJV,E)`has(R,GcdDomain)`603140
ogroebner`1`n`(List(%))->List(%)`dJetBundlePolynomial(R,JB)`has(R,GcdDomain)`603255
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``603382
ogroebner`1`n`(List(P))->List(P)`pJetGroebner(R,JB,LJV,P,E)``603596
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``603703
ogroebner?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``603920
ogroebner`1`x`(%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``604015
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``604121
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``604245
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``604692
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``605072
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``605562
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``606134
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``606737
ogroebnerIdeal`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``607430
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``607642
oground?`1`n`(%)->Boolean`dJetBundleLinearFunction(JB,D)``607937
oground?`1`n`(%)->Boolean`dJetLazyFunction(JB,D)``608039
oground`1`n`(%)->%`dJetBundleLinearFunction(JB,D)``608132
oground`1`n`(%)->Record(numer:Polynomial(Integer),denom:Polynomial(Integer))`dFakePolynomial``0
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace2&(S,R,K)``0
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace2&(S,R,K)``0
oground?`1`x`(%)->Boolean`cFiniteAbelianMonoidRing(R,E)``608193
oground?`1`x`(%)->Boolean`cFunctionSpace2(R,K)``608284
oground`1`x`(%)->R`cFiniteAbelianMonoidRing(R,E)``608354
oground`1`x`(%)->R`cFunctionSpace2(R,K)``608432
ogroup?`1`n`(%)->Boolean`dTeXTree``608559
ogroup`1`n`(List(%))->%`dTeXTree``608643
ogroup_by_condition`1`n`(List(Record(form:SExpression,condition:SExpression)))->List(Record(grp_tag:SExpression,constrs:List(Record(form:SExpression,condition:SExpression))))`pBrowserInformation``608706
ogroup_by_condition`1`n`(List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))))->List(Record(grp_tag:SExpression,ops:List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))))`pBrowserInformation``608818
ogroup_by_implementation`3`n`(List(SExpression),SExpression,List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))))->List(Record(grp_tag:SExpression,ops:List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))))`pBrowserInformation``608912
ogroup_by_origin`1`n`(List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))))->List(Record(grp_tag:SExpression,ops:List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))))`pBrowserInformation``609136
ogroupPresentation`0`n`()->%`dGroupPresentation``609223
ogroupPresentation`1`n`(List(NonNegativeInteger))->%`dGroupPresentation``609286
ogroupPresentation`2`n`(List(NonNegativeInteger),List(List(Integer)))->%`dGroupPresentation``609347
ogroup_terms`1`x`(List(Record(num:R,d_fact:R,d_exp:NonNegativeInteger)))->List(Record(num:R,d_fact:R,d_exp:NonNegativeInteger))`dPartialFraction(R)``609394
oGT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``609434
oguess`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``609523
oguess`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguess`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``609716
oguess`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguess`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`3`n`(List(AlgebraicNumber),List((List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`3`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`3`x`(List(F),List((List(F),List(GuessOption))->List(EXPRR)),List(Symbol))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``609872
oguess`3`x`(List(Fraction(Integer)),List((List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessInteger``0
oguess`3`x`(List(Fraction(Polynomial(Integer))),List((List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`3`x`(List(Fraction(Polynomial(R))),List((List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`4`n`(List(AlgebraicNumber),List((List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`4`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`4`x`(List(F),List((List(F),List(GuessOption))->List(EXPRR)),List(Symbol),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``610164
oguess`4`x`(List(Fraction(Integer)),List((List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguess`4`x`(List(Fraction(Polynomial(Integer))),List((List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`4`x`(List(Fraction(Polynomial(R))),List((List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessADE`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessADE`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessADE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessADE`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``610423
oguessADE`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessADE`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessADE`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`610651
oguessADE`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessADE`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessADE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessADE`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``610854
oguessADE`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessADE`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessADE`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlg`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlg`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``611044
oguessAlg`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessAlg`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlg`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlg`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlg`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``611336
oguessAlg`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessAlg`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlg`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlgDep`1`n`(List(List(AlgebraicNumber)))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`1`x`(List(List(F)))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlgDep`1`x`(List(List(F)))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``611603
oguessAlgDep`1`x`(List(List(Fraction(Integer))))->List(Expression(Integer))`pGuessInteger``0
oguessAlgDep`1`x`(List(List(Fraction(Polynomial(Integer)))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlgDep`1`x`(List(List(Fraction(Polynomial(R)))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlgDep`2`n`(List(List(AlgebraicNumber)),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``611839
oguessAlgDep`2`x`(List(List(Fraction(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessAlgDep`2`x`(List(List(Fraction(Polynomial(Integer)))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlgDep`2`x`(List(List(Fraction(Polynomial(R)))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessBinRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessBinRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessBinRat`1`n`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`612027
oguessBinRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessBinRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``612260
oguessBinRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessBinRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessBinRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`612468
oguessBinRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessBinRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessBinRat`2`n`(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)``612701
oguessBinRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessBinRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``612909
oguessBinRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessBinRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessBinRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessExpRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessExpRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessExpRat`1`n`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`613117
oguessExpRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessExpRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``613344
oguessExpRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessExpRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessExpRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`613533
oguessExpRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessExpRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessExpRat`2`n`(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)``613760
oguessExpRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessExpRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``613959
oguessExpRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessExpRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessExpRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessFE`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessFE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessFE`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``614158
oguessFE`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessFE`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessFE`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessFE`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessFE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessFE`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``614385
oguessFE`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessFE`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessFE`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessHolo`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessHolo`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessHolo`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessHolo`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``614574
oguessHolo`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessHolo`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessHolo`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`614874
oguessHolo`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessHolo`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessHolo`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessHolo`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``615074
oguessHolo`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessHolo`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessHolo`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPade`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPade`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``615356
oguessPade`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessPade`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPade`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPade`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPade`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``615679
oguessPade`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessPade`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPade`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPRec`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPRec`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessPRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPRec`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``615934
oguessPRec`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessPRec`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPRec`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`616203
oguessPRec`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessPRec`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPRec`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``616467
oguessPRec`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessPRec`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPRec`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``616718
oguessRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`616992
oguessRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``617256
oguessRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRec`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRec`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRec`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``617492
oguessRec`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessRec`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRec`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`617678
oguessRec`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessRec`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRec`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``617840
oguessRec`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessRec`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRec`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
ohadamard`2`n`(UnivariateFormalPowerSeries(Coef),UnivariateFormalPowerSeries(Coef))->UnivariateFormalPowerSeries(Coef)`pUnivariateFormalPowerSeriesFunctions(Coef)``0
ohahn_p`5`n`(F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``617988
ohahn_p`5`x`(%,%,%,%,%)->%`cSpecialFunctionCategory``618070
ohahnQ`5`n`(F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``618152
ohahnQ`5`x`(%,%,%,%,%)->%`cSpecialFunctionCategory``618211
ohahnR`5`n`(F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``618276
ohahnR`5`x`(%,%,%,%,%)->%`cSpecialFunctionCategory``618340
ohahnS`5`n`(F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``618404
ohahnS`5`x`(%,%,%,%,%)->%`cSpecialFunctionCategory``618479
ohalfExtendedResultant1`2`n`(%,%)->Record(resultant:R,coef1:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`618554
ohalfExtendedResultant2`2`n`(%,%)->Record(resultant:R,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`618688
ohalfExtendedSubResultantGcd1`2`n`(%,%)->Record(gcd:%,coef1:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`618822
ohalfExtendedSubResultantGcd1`2`x`(%,%)->Record(gcd:%,coef1:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`618968
ohalfExtendedSubResultantGcd2`2`n`(%,%)->Record(gcd:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`619136
ohalfExtendedSubResultantGcd2`2`x`(%,%)->Record(gcd:%,coef2:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`619282
ohandle_imaginary`1`n`(FiniteDivisor(F,UP,UPUP,R))->Record(ncurve:UPUP,n_div_numer:Vector(UPUP),n_div_denom:UPUP,need_change:Boolean)`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``619450
ohandler`3`n`(%,Integer,String)->HANDLER`dOperatorHandlers(HANDLER)``619517
ohankelDeterminant`2`n`(Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``619664
ohankelDeterminants`1`n`(%)->Stream(R)`cDistributionCategory(R)``619770
ohankelH1`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``619878
ohankelH1`2`x`(%,%)->%`cSpecialFunctionCategory``619969
ohankelH2`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``620060
ohankelH2`2`x`(%,%)->%`cSpecialFunctionCategory``620156
ohankelIndices`1`n`(XDistributedPolynomial(VAR,F))->List(FreeMonoid(VAR))`pXDistributedPolynomialFunctions(VAR,F)``620252
oHankelMatrix`1`n`(List(R))->Matrix(R)`pHankelPackage(R)``620426
ohankelMatrix`1`n`(XDistributedPolynomial(VAR,F))->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``620596
ohankelMatrix`2`n`(XDistributedPolynomial(VAR,F),VAR)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``620847
ohankelSystem`1`n`(XDistributedPolynomial(VAR,F))->Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``621083
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``621261
ohas?`2`x`(%,Symbol)->Boolean`dBasicOperator``621367
ohasDimension?`1`n`(%)->Boolean`dSimpleCell(TheField,ThePols)``621446
ohasDimension?`2`n`(%,Symbol)->Boolean`dCell(TheField)``621616
ohash`1`n`(%)->SingleInteger`cHashable``621761
ohash`1`n`(S)->SingleInteger`xHashable&(S)``0
ohasHi`1`x`(%)->Boolean`dUniversalSegment(S)``621820
ohashUpdate!`2`n`(HashState,A)->HashState`xBinaryTreeCategory&(A,S)``0
ohashUpdate!`2`n`(HashState,A)->HashState`xLinearAggregate&(A,S)``0
ohashUpdate!`2`n`(HashState,%)->HashState`cHashable``621898
ohashUpdate!`2`n`(HashState,S)->HashState`xFinite&(S)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xFramedModule&(S,R)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xPolynomialCategory&(S,R,E,VarSet)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``622085
ohas_op?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``622328
ohasPredicate?`1`n`(%)->Boolean`dPattern(R)``622463
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``622543
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``622633
ohasTopPredicate?`1`n`(%)->Boolean`dPattern(R)``622723
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``622802
ohcenter`1`n`(NonNegativeInteger)->(%)->%`dOutputBox``622898
ohclf`2`n`(%,%)->%`dFreeMonoid(S)``622989
ohconcat`1`n`(List(%))->%`dOutputBox``623163
ohconcat`1`n`(List(%))->%`dOutputForm``623283
ohconcat`2`n`(%,%)->%`dOutputForm``623362
ohcrf`2`n`(%,%)->%`dFreeMonoid(S)``623445
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``623620
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``623709
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(%)->%`cDoublyLinkedAggregate(S)``623797
ohead`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``623913
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``624126
oheadReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``624324
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``624557
oheadReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``624710
oheadReduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``624810
oheadReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``624933
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,%)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`625050
oheap`1`x`(List(S))->%`dHeap(S)``625279
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``625370
oheight`1`n`(%)->NonNegativeInteger`cKernelCategory(S)``625491
oheight`1`n`(%)->NonNegativeInteger`dOutputBox``625554
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace2&(S,K)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``625662
oheight`1`x`(%)->NonNegativeInteger`cExpressionSpace2(K)``625769
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``626049
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``626364
ohensel_update`3`n`(U32Vector,Integer,%)->Void`dVectorIntegerReconstructor``626560
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``626633
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``626898
ohermiteH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``626979
ohermiteH`2`x`(%,%)->%`cSpecialFunctionCategory``627035
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``627091
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``627250
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``627636
oHermiteIntegrate`3`n`(Fraction(UP),(UP)->UP,UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``627775
oHermiteIntegrate`3`n`(R,(UP)->UP,R)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``628172
ohessian`2`n`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``628356
ohex`1`x`(Fraction(Integer))->%`dHexadecimalExpansion``628536
ohexDigit`0`x`()->%`dCharacterClass``628612
ohexDigit?`1`x`(%)->Boolean`dCharacter``628734
ohigh`1`x`(%)->S`cSegmentCategory(S)``628864
ohilbert`1`n`(List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``628956
ohitherPlane`2`x`(%,Float)->Void`dThreeDimensionalViewport``629050
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``629226
ohMonic`1`n`(Dpol)->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``629261
ohomo_fact`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``629323
ohomogeneous?`1`n`(%)->Boolean`dAntiSymm(R,lVar)``629416
ohomogeneous?`1`n`(%)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``629506
ohomogeneous`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``629616
ohomogeneous`1`x`(Union(PositiveInteger,Boolean))->%`dGuessOption``629745
ohomology0`0`n`()->%`dHomology``630096
ohomology`1`n`(%)->List(Homology)`dChainComplex``630155
ohomology`1`n`(%)->List(Homology)`dDeltaComplex(VS)``630203
ohomology`1`n`(%)->List(Homology)`dFiniteCubicalComplex(VS)``630251
ohomology`1`n`(%)->List(Homology)`dFiniteSimplicialComplex(VS)``630299
ohomology`3`n`(List(List(Integer)),List(Integer),List(List(Integer)))->%`dHomology``630463
ohomologyc2`0`n`()->%`dHomology``630491
ohomologyGroup`2`n`(Matrix(Integer),Matrix(Integer))->%`dHomology``630554
ohomologyz`0`n`()->%`dHomology``630728
ohomologyzc2`0`n`()->%`dHomology``630790
ohomologyzz`0`n`()->%`dHomology``630855
ohorizConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`1`x`(List(%))->%`cTwoDimensionalArrayCategory(R,Row,Col)``630919
ohorizConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``631056
ohorizJoin`2`n`(%,%)->%`dSparseEchelonMatrix(C,D)``631285
ohorizSplit`2`n`(%,C)->Record(Left:%,Right:%)`dSparseEchelonMatrix(C,D)``631451
ohorizSplit`2`n`(S,List(NonNegativeInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`x`(%,List(NonNegativeInteger))->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``631648
ohorizSplit`2`x`(%,PositiveInteger)->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``631845
ohp_solve`3`n`(List(Vector(SparseUnivariatePolynomial(Expression(Integer)))),List(NonNegativeInteger),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(Expression(Integer)))`pVectorHermitePadeSolver``631996
oHP_solve`7`n`(List(List(F)),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(S)),Boolean)`pModularHermitePadeSolver(F,S)``632110
oHP_solve_A`6`n`(List(List(AlgebraicNumber)),List(Integer),Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(AlgebraicNumber)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(AlgebraicNumber)),Boolean)`pModularHermitePade``632502
oHP_solve_I`6`n`(List(List(Fraction(Integer))),List(Integer),Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``632561
oHP_solve_M`7`n`(List(List(Integer)),List(Integer),Symbol,Integer,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``632621
oHP_solve_P`7`n`(List(List(Fraction(Polynomial(Integer)))),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(Integer))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(Integer))),Boolean)`pModularHermitePade``632719
oHP_solve_PA`7`n`(List(List(Fraction(Polynomial(AlgebraicNumber)))),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))),Boolean)`pModularHermitePade``632790
ohspace`1`n`(Integer)->%`dOutputForm``632874
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``632937
ohue`1`n`(Point(R))->R`pPointPackage(R)``633038
ohue`1`x`(%)->Color`dPalette``633355
ohue`1`x`(%)->Integer`dColor``633433
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``633509
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``633643
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ohypergeometricF`3`n`(List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`633777
ohypergeometricF`3`x`(List(%),List(%),%)->%`cSpecialFunctionCategory`has(%,RetractableTo(Integer))`633862
oI`0`n`()->%`dSKICombinators(UT)``633947
oiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``633987
oiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``634045
oiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``634108
oiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``634166
oiCompose`2`n`(%,%)->%`dInnerSparseUnivariatePowerSeries(Coef)``634229
oid`1`x`(A)->A`pMappingPackage1(A)``634444
oideal`1`n`(Vector(A))->%`dFractionalIdeal(R,F,UP,A)``634476
oideal`1`x`(%)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``634551
oideal`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``634629
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``634734
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``634832
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``634985
oidealSimplify`1`n`(%)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``635150
oidentification`2`n`(%,%)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``635444
oidentity`0`n`()->%`dSTransform(PT)``635621
oidentity`0`x`()->%`dDenavitHartenbergMatrix(R)``635705
oidentityMatrix`1`n`(NonNegativeInteger)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`635759
oidentitySquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``635850
oid_map`1`n`(Var)->Automorphism(R)`pPartialDifferentialOperatorHelper(R,Var)``0
oiexactQuo`2`n`(R,R)->R`xPolynomialSetCategory&(S,R,E,VarSet,P)``635907
oiexactQuo`2`n`(R,R)->R`xRecursivePolynomialCategory&(S,R,E,V)``635969
oiexactQuo`2`x`(R,R)->R`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`636031
oiexactQuo`2`x`(R,R)->R`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`636093
oiExquo`3`n`(%,%,Boolean)->Union(%,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``636155
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``636331
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``636492
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``636548
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``636604
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``636661
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``636717
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``636774
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``636830
oiiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``636887
oiiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``636946
oiiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``637010
oiiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``637069
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``637133
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``637189
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``637246
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``637302
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``637359
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``637415
oiiBesselI`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``637472
oiiBesselJ`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``637532
oiiBesselK`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``637592
oiiBesselY`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``637652
oiiBeta`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``637712
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``637769
oiiconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``637827
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``637889
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``637944
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``638000
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``638055
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``638111
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``638166
oiidigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``638222
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``638282
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``638340
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``638397
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``638452
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``638509
oiiHypergeometricF`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``638567
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``638635
oiim2`1`n`(R)->Expression(Integer)`pGuessPolynomialFunctions(R)``638690
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``638729
oiipolygamma`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``638786
oiiPolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``638848
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``638911
oiiretractVar`1`n`(Kernel(Expression(Integer)))->Polynomial(R)`pGuessPolynomialFunctions(R)``638967
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``639006
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``639061
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``639117
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``639172
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``639228
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``639284
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``639340
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``639395
oiLambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``639451
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``639511
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``639610
oimag`1`x`(%)->R`cComplexCategory(R)``639709
oimagE`1`x`(%)->R`cOctonionCategory(R)``639767
oimagI`1`x`(%)->R`cOctonionCategory(R)``639849
oimagi`1`x`(%)->R`cOctonionCategory(R)``639931
oimagI`1`x`(%)->R`cQuaternionCategory(R)``640003
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->%`cComplexCategory(R)``640087
oimagJ`1`x`(%)->R`cOctonionCategory(R)``640145
oimagj`1`x`(%)->R`cOctonionCategory(R)``640227
oimagJ`1`x`(%)->R`cQuaternionCategory(R)``640299
oimagK`1`x`(%)->R`cOctonionCategory(R)``640383
oimagk`1`x`(%)->R`cOctonionCategory(R)``640465
oimagK`1`x`(%)->R`cQuaternionCategory(R)``640537
oimplies`2`n`(%,%)->%`dILogic``640621
oimplies`2`x`(%,%)->%`dBoolean``640864
oimplies`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oimplies`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cPoset(S)``0
oin?`2`x`(%,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``640958
oinBounds?`3`n`(%,%,%)->Boolean`cSPointCategory``641046
oinc`1`x`(%)->%`cIntegerNumberSystem``641188
oincFail`2`n`(String,List(OutputForm))->Void`pUnittestCount``641231
oincFatal`1`n`(String)->Void`pUnittestCount``641349
oincidenceAlgebra`2`n`(Matrix(R),List(S))->%`dIncidenceAlgebra(R,S)``641454
oincidenceAlgebra`2`n`(Matrix(R),OneDimensionalArray(S))->%`dIncidenceAlgebra(R,S)``641564
oincidenceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
oincidenceMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``641674
oincLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``641978
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``642093
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``642278
oincPass`0`n`()->Void`pUnittestCount``642463
oincr`1`x`(%)->Integer`cSegmentCategory(S)``642541
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`642694
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``642824
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``643004
oincrementKthElement`2`n`(%,PositiveInteger)->Union(%,"failed")`dSetOfMIntegersInOneToN(m,n)``643195
oincTest`0`n`()->Void`pUnittestCount``643379
oincXfFail`0`n`()->Void`pUnittestCount``643446
oincXfFatal`1`n`(String)->Void`pUnittestCount``643537
oincXfLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``643600
oincXfPass`2`n`(String,List(OutputForm))->Void`pUnittestCount``643679
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
oinDegree`2`n`(%,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``643830
oindentFortLevel`1`n`(Integer)->Void`pFortranCodeTools``643929
oindex`1`n`(%)->IS`dModuleMonomial(IS,E,ff)``643962
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(%)->PositiveInteger`cJetBundleCategory``643999
oindex`1`n`(PositiveInteger)->S`xDirectProductCategory&(S,dim,R)``0
oindex`1`n`(PositiveInteger)->S`xFramedModule&(S,R)``0
oindex`1`n`(PositiveInteger)->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oindex`1`x`(PositiveInteger)->%`cFinite``644068
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``644316
oindex?`2`x`(Index,%)->Boolean`cIndexedAggregate(Index,Entry)``644416
oindexes`1`n`(%)->List(List(NonNegativeInteger))`dSceneIFS(PT)``644496
oindexName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``644564
oindexName`1`x`(Symbol)->%`dGuessOption``644673
oindexToObject`2`n`(A,NonNegativeInteger)->S`xPoset&(A,S)``0
oindexToObject`2`n`(%,NonNegativeInteger)->S`cPoset(S)``644812
oindices`1`n`(A)->List(Integer)`xLazyStreamAggregate&(A,S)``0
oindices`1`n`(A)->List(Integer)`xLinearAggregate&(A,S)``0
oindices`1`n`(%)->OneDimensionalArray(S)`dIncidenceAlgebra(R,S)``644877
oindices`1`n`(S)->List(Key)`xTableAggregate&(S,Key,Entry)``0
oindices`1`x`(%)->List(Index)`cIndexedAggregate(Index,Entry)``644948
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``645045
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``645131
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``645281
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``645375
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``645469
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``645569
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``645669
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``645893
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``646117
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``646373
oinf`1`n`(%)->R`cAIntervalCategory(R)``646629
oinf`2`x`(%,%)->%`cOrderedAbelianMonoidSup``646683
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``646787
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``646924
oinfinite?`1`x`(%)->Boolean`dOnePointCompletion(R)``647056
oinfinite?`1`x`(%)->Boolean`dOrderedCompletion(R)``647114
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``647186
oinfinity`0`x`()->%`dOnePointCompletion(R)``647328
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``647371
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``647414
oinfix?`1`n`(%)->Boolean`dOutputForm``647527
oinfix`2`n`(%,List(%))->%`dOutputForm``647635
oinfix`3`n`(%,%,%)->%`dOutputForm``647777
oinfix`4`n`(String,Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``647861
oinfix`4`n`(String,Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``648159
oinfLex?`4`n`(%,%,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``648457
oinfRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinfRittWu?`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinfRittWu?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``648628
oinfRittWu?`2`x`(%,%)->Boolean`cTriangularSetCategory(R,E,V,P)``648795
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``648919
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``649012
oinfsum`1`n`(Stream(%))->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``649105
oinGroundField?`1`x`(%)->Boolean`cExtensionField(F)``649247
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``649354
oini_rdata`2`n`(PA,MD)->PMD`cModularFactorizationOperations(PA,MMT,MD,PMD)``649739
oinit`0`n`()->A`xQuotientFieldCategory&(A,S)``0
oinit`0`n`()->S`xFiniteFieldCategory&(S)``0
oinit`0`n`()->S`xIntegerNumberSystem&(S)``0
oinit`0`n`()->S`xUnivariatePolynomialCategory&(S,R)``0
oinit`0`x`()->%`cStepThrough``649953
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``650014
oinitial`0`n`()->A`xPoset&(A,S)``0
oinitial`0`n`()->%`cFiniteGraph(S)``650203
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(%)->%`cDifferentialPolynomialCategory(R,S,V,E)``650270
oinitializeGroupForWordProblem`1`x`(%)->Void`dPermutationGroup(S)``650422
oinitializeGroupForWordProblem`3`x`(%,Integer,Integer)->Void`dPermutationGroup(S)``650858
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``651309
oinitiallyReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``651517
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``651761
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``651989
oinitiallyReduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``652144
oinitiallyReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``652277
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(%)->List(P)`cTriangularSetCategory(R,E,V,P)``652462
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``652564
oinnerEigenvectors`3`n`(Matrix(K),Par,(SparseUnivariatePolynomial(K))->Factored(SparseUnivariatePolynomial(K)))->List(Record(outval:F,outmult:Integer,outvect:List(Matrix(F))))`pInnerNumericEigenPackage(K,F,Par)``652619
oinnerint`5`x`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``652929
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``653005
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``653116
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``653240
oinput`1`x`(%)->Union((List(InputForm))->InputForm,"failed")`dBasicOperator``653586
oinput`2`x`(%,(List(InputForm))->InputForm)->%`dBasicOperator``653698
oinR?`1`n`(%)->Boolean`dPattern(R)``653908
oinRadical?`2`x`(DPoly,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``654003
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``654112
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``654176
oinsert`2`n`(List(D),%)->%`dJetDifferentialEquation(JB,D)``654271
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,%)->%`cBagAggregate(S)``654372
oinsert!`2`x`(S,%)->%`dBinarySearchTree(S)``654441
oinsert!`2`x`(S,%)->%`dBinaryTournament(S)``654538
oinsert`3`n`(A,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert!`3`x`(%,%,Integer)->%`cExtensibleLinearAggregate(S)``654634
oinsert`3`x`(%,%,Integer)->%`cLinearAggregate(S)``654742
oinsert!`3`x`(S,%,Integer)->%`cExtensibleLinearAggregate(S)``654940
oinsert`3`x`(S,%,Integer)->%`cLinearAggregate(S)``655038
oinsert!`3`x`(S,%,NonNegativeInteger)->%`cMultiDictionary(S)``655217
oinsertBottom!`2`x`(S,%)->S`cDequeueAggregate(S)``655324
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`655452
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``655495
oinsertMatch`3`n`(Pattern(R),S,%)->%`dPatternMatchResult(R,S)``655544
oinsertRoot!`2`x`(S,%)->%`dBinarySearchTree(S)``655702
oinsertRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dFreeDivisionAlgebra(VAR,F)``655803
oinsertRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``656035
oinsertTop!`2`x`(S,%)->S`cDequeueAggregate(S)``656340
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(%)->S`cBagAggregate(S)``656568
oint`1`n`(%)->%`dOutputForm``656633
oint`1`n`(R)->Stream(R)`cStreamTaylorSeriesOperationsCategory(R,M)``656719
oint`2`n`(%,%)->%`dOutputForm``656823
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``656937
oint`3`n`(%,%,%)->%`dOutputForm``657020
ointBasis`1`n`(List(%))->%`dVectorSpaceBasis(R)``657173
ointBasis`1`n`(List(List(Vector(R))))->%`dVectorSpaceBasis(R)``657288
ointBasis`2`n`(%,%)->%`dVectorSpaceBasis(R)``657404
ointBasis`2`n`(List(Vector(R)),List(Vector(R)))->%`dVectorSpaceBasis(R)``657494
ointChoose`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(upol:SparseUnivariatePolynomial(R),Lval:List(R),Lfact:List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),ctpol:R)`pMultivariateSquareFree(E,OV,R,P)``657638
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``657678
ointeg`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``657719
ointeg_df`2`n`(UPS,UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``657771
ointeger?`1`n`(%)->Boolean`dFortranScalarType``657826
ointeger?`1`n`(OutputForm)->Boolean`pOutputFormTools``657918
ointeger`1`n`(OutputForm)->Integer`pOutputFormTools``658007
ointeger?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``658123
ointeger`1`x`(%)->Int`cSExpressionCategory(Str,Sym,Int,Flt)``658206
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``658330
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``658422
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``658516
ointegerBound`1`n`(UP)->Integer`pPolynomialRationalRoots(F,UP)``658660
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``658804
ointegerPart`1`n`(%)->NonNegativeInteger`dSmallOrdinal``658906
ointegers`1`n`(Integer)->Stream(Integer)`cStreamTaylorSeriesOperationsCategory(R,M)``659014
ointegral`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``659075
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(%)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``659287
ointegral`2`n`(F,F)->%`dIntegrationResult(F)``659362
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``659456
ointegral`2`n`(F,Symbol)->%`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`659586
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``659680
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`x`(%,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``659767
ointegral`2`x`(%,SegmentBinding(%))->%`cPrimitiveFunctionCategory``659857
ointegral`2`x`(%,Symbol)->%`cPrimitiveFunctionCategory``659996
ointegral?`2`x`(%,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``660076
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(%)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``660169
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``660257
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``661079
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``661901
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``662717
ointegralBasis`0`x`()->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``663539
ointegralBasisAtInfinity`0`x`()->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``663611
ointegralCoordinates`1`x`(%)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``663697
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``663898
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``664233
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``664342
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``664551
ointegralRepresents`2`x`(Vector(UP),UP)->%`cFunctionFieldCategory(F,UP,UPUP)``664766
ointegrate`1`n`(%)->%`cUnivariateSeriesWithRationalExponents(Coef,Expon)`has(Coef,Algebra(Fraction(Integer)))`664928
ointegrate`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`665117
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``665300
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`x`(%)->%`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`665369
ointegrate`2`n`(Coef,Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``665486
ointegrate`2`n`(M,Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(R,Algebra(Fraction(Integer)))`665587
ointegrate`2`n`(%,PositiveInteger)->%`cJetBundleCategory``665833
ointegrate`2`n`(S,PositiveInteger)->S`xJetBundleCategory&(S)``0
ointegrate`2`n`(%,Symbol)->%`cUnivariateSeriesWithRationalExponents(Coef,Expon)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`665958
ointegrate`2`n`(%,Variable(var))->%`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`666089
ointegrate`2`n`(%,Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`666278
ointegrate`2`n`(%,Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`666467
ointegrate`2`n`(%,Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`666659
ointegrate`2`n`(%,Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`666848
ointegrate`2`n`(%,Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`667037
ointegrate`2`n`(%,Variable('x))->%`dUnivariateFormalPowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`0
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``667229
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``667391
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`667553
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``667666
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``667828
ointegrate`2`x`(%,Symbol)->%`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`667941
ointegrate`2`x`(UPS,Distribution(R))->S`pDistributionPolynomialPackage(R,S,UPS)``668101
ointegrate`2`x`(%,Var)->%`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`668228
ointegrate`2`x`(%,Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`668456
ointegrate`3`n`(%,Var,Coef)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`668645
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``668797
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``669192
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``669587
ointegrate`3`x`(%,Symbol,Coef)->%`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`669982
ointegrateIfCan`2`n`(%,PositiveInteger)->Union(%,"failed")`cJetBundleCategory``670134
ointegrateIfCan`2`n`(S,PositiveInteger)->Union(S,"failed")`xJetBundleCategory&(S)``0
ointegrate_sols`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->Record(ltilde:LinearOrdinaryDifferentialOperator1(Fraction(UP)),r:Union(LinearOrdinaryDifferentialOperator1(Fraction(UP)),"failed"))`pRationalLODE(F,UP)``670255
ointegrate_sols`2`n`(L,(L,F)->Record(particular:Union(F,"failed"),basis:List(F)))->Record(ltilde:L,r:Union(L,"failed"))`pIntegrateSolutions(F,L)``670337
ointegt`1`n`(UTS)->UTS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``670771
ointensity`2`x`(%,Float)->Void`dThreeDimensionalViewport``670824
ointernal?`1`n`(%)->Boolean`dSubSpace(n,R)``671014
ointernalAugment`2`x`(List(P),%)->%`cRegularTriangularSetCategory(R,E,V,P)``671055
ointernalAugment`2`x`(P,%)->%`cRegularTriangularSetCategory(R,E,V,P)``671214
ointernalAugment`7`x`(P,%,Boolean,Boolean,Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``671322
ointernalAugment`7`x`(P,%,Boolean,Boolean,Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``671437
ointernalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`x`(P,TS,NonNegativeInteger,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`x`(P,TS,NonNegativeInteger,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``671552
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``671653
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``671754
ointernalIntegrate`2`n`(FG,Symbol)->IntegrationResult(FG)`pFunctionSpaceComplexIntegrationAux(G,FG)``671835
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``671959
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``672042
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``672166
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``672278
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``672401
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``672626
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``672851
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``673110
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``673364
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``673473
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``673582
ointerpolate`3`n`(List(D),List(D),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``673630
ointerpolate`3`n`(List(Fraction(D)),List(Fraction(D)),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``674013
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``674188
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpret`1`n`(%)->Any`dInputForm``674239
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``674302
ointerpret_in_new_env`1`n`(%)->Any`dInputForm``674424
ointerpretString`1`n`(String)->Any`pTemplateUtilities``674560
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``674669
ointersect`1`x`(List(%))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``674967
ointersect`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ointersect`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`x`(%,%)->%`cSetAggregate(S)``675054
ointersect`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``675321
ointersect`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``675414
ointersect`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``675590
ointersect`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``675693
ointersect`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``675770
ointersection`1`n`(List(%))->%`dSBoundary(PT)``675849
ointerval`1`x`(Fraction(Integer))->%`cIntervalCategory(R)``676015
ointerval`1`x`(R)->%`cIntervalCategory(R)``676081
ointerval`2`n`(NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``676147
ointerval`2`n`(R,R)->%`cAIntervalCategory(R)``676227
ointerval`2`n`(R,R)->S`xAIntervalCategory&(S,R)``0
ointoMatrix`2`x`(List(P),List(OV))->Record(mat:Matrix(Fraction(P)),vec:Vector(Fraction(P)))`pLinearSystemPolynomialPackage(R,E,OV,P)``676342
oinv`1`n`(%)->%`cAIntervalCategory(R)`AND(has(R,Field),has(R,OrderedRing))`676462
oinv`1`n`(%)->%`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``676607
oinv`1`n`(%)->%`dModularRing(R,Mod,reduction,merge,exactQuo)``676642
oinv`1`n`(S)->S`xAIntervalCategory&(S,R)``0
oinv`1`n`(S)->S`xComplexCategory&(S,R)``0
oinv`1`n`(S)->S`xField&(S)``0
oinv`1`n`(S)->S`xOctonionCategory&(S,R)``0
oinv`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oinv`1`n`(Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``676677
oinv`1`x`(%)->%`cDivisionRing``676749
oinv`1`x`(%)->%`cGroup``676842
oinv`1`x`(%)->%`cOctonionCategory(R)`has(R,Field)`676896
oinv`1`x`(%)->%`dEquation(S)`has(S,Field)`676963
oinverse`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``677032
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``677086
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``677154
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``677372
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`677532
oinverse`1`x`(%)->Union(%,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`677683
oinverse`1`x`(%)->Union(%,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`677843
oinverse`2`n`(U32Matrix,Integer)->Union(U32Matrix,"failed")`pModularU32MatrixOperations``677973
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``678097
oinverse_cyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicUtilities``678783
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``678911
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``679126
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``679348
oinvertALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``679554
oinvertible?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``679681
oinvertible?`2`x`(P,%)->List(Record(val:Boolean,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``679801
oinvertibleElseSplit?`2`x`(P,%)->Union(Boolean,List(%))`cRegularTriangularSetCategory(R,E,V,P)``680018
oinvertibleSet`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``680213
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`680391
oinvertIfCan`1`x`(%)->Union(%,"failed")`dMatrix(R)`has(R,IntegralDomain)`680466
oinvertMIN`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``680630
oinvertSTD`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``680810
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(%,%)->%`cIntegerNumberSystem``680966
oinvmultisect`3`n`(Integer,Integer,%)->%`dUnivariateFormalPowerSeries(Coef)``0
oinvmultisect`3`n`(Integer,Integer,%)->%`dUnivariateTaylorSeries(Coef,var,cen)``681051
oinvmultisect`3`n`(Integer,Integer,Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``681180
oiomode`1`x`(%)->String`cFileCategory(Name,S)``681293
oIota`0`n`()->Symbol`pMathematicalSymbols``681437
oiota`0`n`()->Symbol`pMathematicalSymbols``681504
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``681569
oiprint`1`n`(String)->Void`pInternalPrintPackage``681624
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`681703
oirootDep`1`x`(Kernel(F))->Union(vec:Vector(Fraction(Integer)),func:F,fail:Boolean)`pElementaryFunctionStructurePackage(R,F)``681764
oirreducible?`1`n`(UP)->Boolean`pUnivariateFiniteFieldFactorize(F,UP)``681845
oirreducible?`2`n`(PA,MD)->Boolean`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``681909
oirreducible?`2`n`(PrimitiveArray(K),Record(i_mod:Integer,deg:Integer))->Boolean`pModularFactorizationK(K)``0
oirreducible?`2`n`(U32Vector,Integer)->Boolean`pModularFactorization``0
oirreducibleFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``682069
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`682230
oirreducibleRepresentation`1`x`(List(Integer))->List(Matrix(Integer))`pIrrRepSymNatPackage``682492
oirreducibleRepresentation`2`x`(List(Integer),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``682837
oirreducibleRepresentation`2`x`(List(Integer),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``683061
ois?`2`n`(%,BasicOperator)->Boolean`cKernelCategory(S)``683329
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace2&(S,K)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace2&(S,K)``0
ois?`2`n`(%,Symbol)->Boolean`cKernelCategory(S)``683391
ois?`2`x`(%,BasicOperator)->Boolean`cExpressionSpace2(K)``683466
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``683548
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``683665
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``683798
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`683888
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`684138
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`684388
ois?`2`x`(%,Symbol)->Boolean`cExpressionSpace2(K)``684665
ois?`2`x`(%,Symbol)->Boolean`dBasicOperator``684764
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`684833
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`684967
oisAcyclic?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisAcyclic?`1`n`(%)->Boolean`cFiniteGraph(S)``685452
oisAntiChain?`1`n`(%)->Boolean`cPoset(S)``685522
oisBasis?`1`n`(List(Vector(R)))->Boolean`dVectorSpaceBasis(R)``685643
oisBoundNode?`1`n`(%)->Boolean`dLambda(UT)``685721
oisBox?`1`n`(%)->Boolean`dSBoundary(PT)``685792
oisChain?`1`n`(%)->Boolean`cPoset(S)``685871
oisCompound?`1`n`(%)->Boolean`dLambda(UT)``685981
oisDirected?`0`n`()->Boolean`cFiniteGraph(S)``686071
oisDirected?`0`n`()->Boolean`xFiniteGraph&(A,S)``686198
oisDirected?`0`n`()->Boolean`xPoset&(A,S)``0
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisDirectSuccessor?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``686325
oisEllipse?`1`n`(%)->Boolean`dSBoundary(PT)``686484
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``686565
oisExpt`1`n`(S)->Union(Record(var:K,exponent:Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oisExpt`1`n`(S)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisExpt`1`n`(%)->Union(Record(val:%,exponent:NonNegativeInteger),"failed")`dPattern(R)``686668
oisExpt`1`x`(%)->Union(Record(var:K,exponent:Integer),"failed")`cFunctionSpace2(R,K)`has(R,SemiGroup)`686776
oisExpt`1`x`(%)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`686859
oisExpt`2`n`(S,BasicOperator)->Union(Record(var:K,exponent:Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oisExpt`2`n`(S,Symbol)->Union(Record(var:K,exponent:Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oisExpt`2`x`(%,BasicOperator)->Union(Record(var:K,exponent:Integer),"failed")`cFunctionSpace2(R,K)`has(R,Ring)`686970
oisExpt`2`x`(%,Symbol)->Union(Record(var:K,exponent:Integer),"failed")`cFunctionSpace2(R,K)`has(R,Ring)`687078
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisFixPoint?`2`n`(%,NonNegativeInteger)->Boolean`cFiniteGraph(S)``687184
oisFreeNode?`1`n`(%)->Boolean`dLambda(UT)``687261
oisFunctional?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisFunctional?`1`n`(%)->Boolean`cFiniteGraph(S)``687334
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisGreaterThan?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``687495
oisI?`1`n`(%)->Boolean`dSKICombinators(UT)``687693
oisK?`1`n`(%)->Boolean`dSKICombinators(UT)``687759
oisLambda?`1`n`(%)->Boolean`dLambda(UT)``687824
oisList`1`n`(%)->Union(List(%),"failed")`dPattern(R)``687897
oisMult`1`n`(S)->Union(Record(coef:Integer,var:K),"failed")`xFunctionSpace2&(S,R,K)``0
oisMult`1`x`(%)->Union(Record(coef:Integer,var:K),"failed")`cFunctionSpace2(R,K)`has(R,AbelianSemiGroup)`687999
oisNodeBranch?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``688084
oisNodeLeaf?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``688156
oisNull?`1`n`(%)->Boolean`dSBoundary(PT)``688248
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(%)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``688341
oisOp`1`n`(%)->Union(Record(op:BasicOperator,arg:List(%)),"failed")`dPattern(R)``688522
oisOp`2`n`(%,BasicOperator)->Union(List(%),"failed")`dPattern(R)``688634
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``688744
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace2&(S,R,K)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`n`(%)->Union(List(%),"failed")`dPattern(R)``688870
oisPlus`1`x`(%)->Union(List(%),"failed")`cFunctionSpace2(R,K)`has(R,AbelianSemiGroup)`689007
oisPlus`1`x`(%)->Union(List(%),"failed")`cPolynomialCategory(R,E,VarSet)``689104
oisPoint?`1`n`(%)->Boolean`cSPointCategory``689256
oisPointLeaf?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``689353
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``689470
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oisPower`1`n`(%)->Union(Record(val:%,exponent:%),"failed")`dPattern(R)``689574
oisPower`1`x`(%)->Union(Record(val:%,exponent:Integer),"failed")`cFunctionSpace2(R,K)`has(R,Ring)`689666
oisQuotient`1`n`(%)->Union(Record(num:%,den:%),"failed")`dPattern(R)``689750
oisS?`1`n`(%)->Boolean`dSKICombinators(UT)``689845
oisSubsetOf?`2`n`(%,%)->Boolean`dOrientedFacet``689910
ois_symbol?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``690036
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``690146
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace2&(S,R,K)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`n`(%)->Union(List(%),"failed")`dPattern(R)``690262
oisTimes`1`x`(%)->Union(List(%),"failed")`cFunctionSpace2(R,K)`has(R,SemiGroup)`690386
oisTimes`1`x`(%)->Union(List(%),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`690482
oisVector?`1`n`(%)->Boolean`cSPointCategory``690769
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``690864
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``690937
ojacobi2poly`2`n`(Stream(R),Stream(R))->Stream(SparseUnivariatePolynomial(R))`pMomentPackage(R)``691087
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``691232
ojacobian`2`n`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``691508
ojacobiCn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``691699
ojacobiCn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``691860
ojacobiCn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``691975
ojacobiCn`2`x`(%,%)->%`cSpecialFunctionCategory``692037
ojacobiCn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``692198
ojacobiDn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``692260
ojacobiDn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``692423
ojacobiDn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``692538
ojacobiDn`2`x`(%,%)->%`cSpecialFunctionCategory``692600
ojacobiDn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``692763
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``692825
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``693029
ojacobiMatrix`1`n`(List(%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``693233
ojacobiMatrix`1`n`(%)->List(SparseEchelonMatrix(JB,D))`dJetDifferentialEquation(JB,D)``693333
ojacobiMatrix`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`2`n`(List(%),List(List(JB)))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``693436
ojacobiMatrix`2`n`(List(S),List(List(JB)))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiP`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``693663
ojacobiP`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``693723
ojacobiParameters`1`n`(%)->Record(an:Stream(Fraction(R)),bn:Stream(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`693783
ojacobiParameters`1`n`(%)->Record(an:Stream(R),bn:Stream(R))`cDistributionCategory(R)`has(R,Field)`693896
ojacobiPathArray`2`n`(Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``694009
ojacobiSn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``694169
ojacobiSn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``694305
ojacobiSn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``694420
ojacobiSn`2`x`(%,%)->%`cSpecialFunctionCategory``694482
ojacobiSn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``694618
ojacobiTheta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``694680
ojacobiTheta`2`x`(%,%)->%`cSpecialFunctionCategory``694761
ojacobiZeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``694842
ojacobiZeta`2`x`(%,%)->%`cSpecialFunctionCategory``695032
ojacobiZeta`2`x`(Float,Float)->Float`pFloatEllipticFunctions``695222
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``695281
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``695365
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,Fraction(R)))->ContinuedFraction(UnivariatePolynomial(z,Fraction(R)))`pDistributionContinuedFractionPackage(R,z)`AND(has(R,IntegralDomain),not(has(R,Field)))`695602
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,R))->ContinuedFraction(UnivariatePolynomial(z,R))`pDistributionContinuedFractionPackage(R,z)`has(R,Field)`695707
ojetVariables`1`n`(%)->List(JB)`cJetBundleFunctionCategory(JB)``695812
ojoin`1`n`(List(%))->%`dLatticeJoinOfMeets``695921
ojoin`1`n`(List(%))->%`dLatticeMeetOfJoins``695959
ojoin`2`n`(%,%)->%`dJetDifferentialEquation(JB,D)``695997
ojoin`2`n`(%,%)->%`dOrientedFacet``696096
ojoin`2`n`(%,%)->%`dSparseEchelonMatrix(C,D)``696243
ojoin`2`x`(%,List(%))->%`cStringAggregate``696323
ojoin`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cDcpo(S)``696527
ojoinIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``696684
ojoinIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``696775
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``697028
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``697318
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``697608
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``697950
oK`0`n`()->%`dSKICombinators(UT)``698292
oKappa`0`n`()->Symbol`pMathematicalSymbols``698332
okappa`0`n`()->Symbol`pMathematicalSymbols``698401
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``698468
okaratsubaDivide`2`x`(%,NonNegativeInteger)->Record(quotient:%,remainder:%)`cUnivariatePolynomialCategory(R)`has(R,Ring)`698821
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``698915
okelvinBei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``699082
okelvinBei`2`x`(%,%)->%`cSpecialFunctionCategory``699256
okelvinBer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``699428
okelvinBer`2`x`(%,%)->%`cSpecialFunctionCategory``699600
okelvinKei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``699772
okelvinKei`2`x`(%,%)->%`cSpecialFunctionCategory``699961
okelvinKer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``700150
okelvinKer`2`x`(%,%)->%`cSpecialFunctionCategory``700339
okernel`1`n`(Symbol)->%`cKernelCategory(S)``700528
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace2&(S,K)``0
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace2&(S,K)``0
okernel`2`x`(BasicOperator,%)->%`cExpressionSpace2(K)``700589
okernel`2`x`(BasicOperator,List(%))->%`cExpressionSpace2(K)``700671
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->%`cKernelCategory(S)``700768
okernels`1`n`(List(S))->List(K)`xExpressionSpace2&(S,K)``0
okernels`1`n`(List(S))->List(K)`xFunctionSpace2&(S,R,K)``0
okernels`1`n`(S)->List(K)`xExpressionSpace2&(S,K)``0
okernels`1`n`(S)->List(K)`xFunctionSpace2&(S,R,K)``0
okernels`1`x`(%)->List(K)`cExpressionSpace2(K)``700957
okernels`1`x`(List(%))->List(K)`cExpressionSpace2(K)``701121
okey`1`n`(%)->Integer`dGraphImage``701311
okey`1`n`(%)->Integer`dTwoDimensionalViewport``701438
okey`1`x`(%)->Integer`dThreeDimensionalViewport``701592
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,%)->Boolean`cKeyedDictionary(Key,Entry)``701750
okeys`1`n`(%)->List(String)`dBasicKeyedAccessFile``701821
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(%)->List(Key)`cKeyedDictionary(Key,Entry)``701879
okgraph`2`n`(List(S),String)->A`xPoset&(A,S)``0
okgraph`2`n`(List(S),String)->%`cFiniteGraph(S)``701945
okleinBottle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``702256
okleinBottle`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``702296
okleinBottle`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``702364
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``702438
oknownHandler?`3`n`(%,Integer,String)->Boolean`dOperatorHandlers(HANDLER)``702521
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``702832
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``702879
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``703199
okprod`1`x`(List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``703625
okprod`1`x`(List(Float))->Float`pFloatEllipticFunctions``703646
okrawtchoukK`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``703667
okrawtchoukK`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``703735
okroneckerDelta`0`x`()->%`dCartesianTensor(minix,dim,R)``703803
okronecker_prod1`7`n`(S,Integer,List(List(NonNegativeInteger)),List(S),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`xMatrixCategory&(S,R,Row,Col)``0
okronecker_prod1`7`x`(%,Integer,List(List(NonNegativeInteger)),List(%),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`cMatrixCategory(R,Row,Col)``703996
okroneckerProduct`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`704036
okroneckerProduct`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`704229
okroneckerSum`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)``704394
okroneckerSum`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)``704516
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``704610
okummerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``704724
okummerM`3`x`(%,%,%)->%`cSpecialFunctionCategory``704788
okummerU`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``704854
okummerU`3`x`(%,%,%)->%`cSpecialFunctionCategory``704918
olabel`2`n`(%,%)->%`dOutputForm``704984
olagrange`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
olagrange`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``705058
olagrange`1`n`(Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)``705212
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``705342
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``705400
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``705674
olaguerreL`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``705842
olaguerreL`3`x`(%,%,%)->%`cSpecialFunctionCategory``705903
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``705964
oLambda`0`n`()->Symbol`pMathematicalSymbols``706109
olambda`0`n`()->Symbol`pMathematicalSymbols``706180
olambda`1`n`(NonNegativeInteger)->%`dLambda(UT)``706249
olambda`1`n`(UT)->%`dLambda(UT)``706323
olambda`2`n`(%,%)->%`dLambda(UT)``706372
olambda`2`n`(%,List(Symbol))->%`dInputForm``706423
olambda`2`n`(%,UT)->%`dLambda(UT)``706594
olambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
olambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``706670
olambert`1`n`(Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)``707033
olambert_inverse_series`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``707340
olambert_inverse_series`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``707360
olambert_inverse_series`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``707380
olambert_inverse_series`2`x`(Float,Float)->Float`pFloatSpecialFunctions``707400
olambert_via_newton1`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``707420
olambert_via_newton1`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``707440
olambert_via_newton1`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``707460
olambert_via_newton1`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``707480
olambert_via_newton2`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``707500
olambert_via_newton2`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``707520
olambert_via_newton2`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``707540
olambert_via_newton2`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``707560
olambertW0`1`n`(UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``707580
olambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``707676
olambertW`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``707748
olambertW`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``707808
olambertW`1`x`(%)->%`cSpecialFunctionCategory``707868
olambertW`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``707978
olambertW`1`x`(Float)->Float`pFloatSpecialFunctions``708038
olambintegrate`6`n`(Fraction(UP),F,(F)->F,(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),(F)->IntegrationResult(F))->Record(answer:IntegrationResult(Fraction(UP)),a0:IntegrationResult(F))`pTranscendentalIntegration(F,UP)``708098
olanden1`2`x`(Complex(Float),List(Complex(Float)))->List(Complex(Float))`pFloatEllipticFunctions``708431
olanden1`2`x`(Float,List(Float))->List(Float)`pFloatEllipticFunctions``708452
olanden2`3`x`(Complex(Float),List(Complex(Float)),Float)->List(Complex(Float))`pFloatEllipticFunctions``708473
olanden2`3`x`(Float,List(Float),Float)->List(Float)`pFloatEllipticFunctions``708494
olanden`2`x`(Complex(Float),Float)->List(Complex(Float))`pFloatEllipticFunctions``708515
olanden`2`x`(Float,Float)->List(Float)`pFloatEllipticFunctions``708536
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``708557
olaplacian`2`n`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``708819
olaplacianMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
olaplacianMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``708960
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`709503
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``709673
olast`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
olast`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
olast`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
olast`1`x`(%)->S`cDoublyLinkedAggregate(S)``709833
olast`1`x`(%)->S`cUnaryRecursiveAggregate(S)``709948
olast`1`x`(%)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``710058
olast`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
olast`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
olast`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)``710207
olastSubResultant`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`710343
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``710544
olastSubResultant`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`710646
olastSubResultant`3`x`(P,P,%)->List(Record(val:P,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``710881
olastSubResultantElseSplit`3`x`(P,P,%)->Union(P,List(%))`cRegularTriangularSetCategory(R,E,V,P)``711527
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``711870
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(%)->String`cSetCategory``712024
olatticeJoinOfMeets`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->%`dLatticeJoinOfMeets``712108
olatticeMeetOfJoins`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->%`dLatticeMeetOfJoins``712152
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``712196
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``712379
olaurent`1`x`(%)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``712449
olaurent`2`n`(Integer,Stream(Coef))->S`xUnivariateLaurentSeriesCategory&(S,Coef)``0
olaurent`2`n`(Integer,Stream(Coef))->S`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
olaurent`2`n`(Integer,UTS)->S`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
olaurent`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``712582
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``712695
olaurent`2`x`(Integer,Stream(Coef))->%`cUnivariateLaurentSeriesCategory(Coef)``712938
olaurent`2`x`(Integer,UTS)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``713121
olaurent`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``713179
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``713366
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
olaurent`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`713536
olaurent`4`n`((Integer)->R,Symbol,R,UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries1(R)``713713
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
olaurentIfCan`1`x`(%)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``713898
olaurentRep`1`x`(%)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``714051
oLazardQuotient2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``714184
oLazardQuotient2`4`x`(%,%,%,NonNegativeInteger)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`714270
oLazardQuotient`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``714398
oLazardQuotient`3`x`(%,%,NonNegativeInteger)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`714470
olazy?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``714584
olazyEvaluate`1`x`(%)->%`cLazyStreamAggregate(S)``714752
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)`has(A,Field)`715029
olazyIntegrate`2`n`(Coef,()->Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``715105
olazyIntegrate`2`n`(M,()->Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(R,Algebra(Fraction(Integer)))`715210
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`715305
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``715723
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``715853
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``715989
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``716200
olazyPremWithDefault`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`2`x`(%,%)->Record(coef:%,gap:NonNegativeInteger,remainder:%)`cRecursivePolynomialCategory(R,E,V)``716468
olazyPremWithDefault`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`3`x`(%,%,V)->Record(coef:%,gap:NonNegativeInteger,remainder:%)`cRecursivePolynomialCategory(R,E,V)``716602
olazyPseudoDivide`2`n`(%,%)->Record(coef:R,gap:NonNegativeInteger,quotient:%,remainder:%)`dNewSparseUnivariatePolynomial(R)``716745
olazyPseudoDivide`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`2`x`(%,%)->Record(coef:%,gap:NonNegativeInteger,quotient:%,remainder:%)`cRecursivePolynomialCategory(R,E,V)``716959
olazyPseudoDivide`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`3`x`(%,%,V)->Record(coef:%,gap:NonNegativeInteger,quotient:%,remainder:%)`cRecursivePolynomialCategory(R,E,V)``717154
olazyPseudoQuotient`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``717368
olazyPseudoRemainder`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``717485
olazyResidueClass`2`n`(%,%)->Record(polnum:%,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``717717
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`x`(%,%)->Record(polnum:%,polden:%,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``717988
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`718209
olc`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``718333
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(%))->%`cGcdDomain``718371
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(%,%)->%`cGcdDomain``718464
olcm`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``718548
olcmCoef`2`n`(%,%)->Record(llcm_res:%,coeff1:%,coeff2:%)`cLeftOreRing``718668
olcmCoef`2`n`(S,S)->Record(llcm_res:S,coeff1:S,coeff2:S)`xGcdDomain&(S)``0
olcx0`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->Record(lcx0lc:SparseMultivariatePolynomial(Integer,Symbol),lcx0m:SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``718875
olcz`2`n`(SparseMultivariatePolynomial(Integer,Symbol),Symbol)->Record(lczlc:SparseMultivariatePolynomial(Integer,Symbol),k:Integer)`pPrimGCD``719141
oldegree`2`n`(PT,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``719252
oldivide`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Record(quotient:XDistributedPolynomial(vl,F),remainder:XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``719529
oLE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``719783
ole`3`n`(A,S,S)->Boolean`xPoset&(A,S)``0
ole`3`n`(%,S,S)->Boolean`cPreorder(S)``719873
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(%)->V`cDifferentialPolynomialCategory(R,S,V,E)``720075
oleadingBasisTerm`1`n`(%)->%`dAntiSymm(R,lVar)``720249
oleadingBasisTerm`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``720352
oleadingCoefficient`1`n`(%)->A`cIndexedProductCategory(A,S)`has(S,Comparable)`720450
oleadingCoefficient`1`n`(A)->R`xFreeModuleCategory&(A,R,S)``0
oleadingCoefficient`1`n`(%)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``720633
oleadingCoefficient`1`n`(%)->R`cSolvableSkewPolynomialCategory(R,Expon)``720734
oleadingCoefficient`1`n`(%)->R`dAntiSymm(R,lVar)``720834
oleadingCoefficient`1`n`(%)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``720940
oleadingCoefficient`1`n`(%)->R`dLaurentPolynomial(R,UP)``720990
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`x`(%)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``721037
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(%,V)->%`cRecursivePolynomialCategory(R,E,V)``721134
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``721283
oleadingDer`1`n`(%)->JB`cJetBundleFunctionCategory(JB)``721625
oleadingDer`1`n`(S)->JB`xJetBundleFunctionCategory&(S,JB)``0
oleadingExponent`1`n`(%)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``721760
oleadingIdeal`1`x`(%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``721807
oleadingIndex`1`n`(%)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``721920
oleadingMonomial`1`n`(A)->A`xFreeModuleCategory&(A,R,S)``0
oleadingMonomial`1`n`(%)->%`cIndexedProductCategory(A,S)`has(S,Comparable)`721964
oleadingMonomial`1`n`(%)->%`cSolvableSkewPolynomialCategory(R,Expon)``722099
oleadingMonomial`1`n`(%)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``722190
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`x`(%)->%`cPowerSeriesCategory(Coef,Expon,Var)``722237
oleadingSupport`1`n`(A)->S`xFreeModuleCategory&(A,R,S)``0
oleadingSupport`1`n`(%)->S`cIndexedProductCategory(A,S)`has(S,Comparable)`722320
oleadingTerm`1`n`(%)->Record(k:S,c:A)`cIndexedProductCategory(A,S)`has(S,Comparable)`722489
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(%)->Boolean`dSubSpace(n,R)``722642
oleaf?`1`x`(%)->Boolean`cRecursiveAggregate(S)``722679
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``722740
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``722991
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``723255
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xRecursiveAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xUnaryRecursiveAggregate&(A,S)``0
oleaves`1`x`(%)->List(S)`cRecursiveAggregate(S)``723370
oleft`1`n`(%)->%`dFreeMagma(VarSet)``723444
oleft`1`n`(%)->%`dLyndonWord(VarSet)``723574
oleft`1`n`(%)->%`dOutputForm``723705
oleft`1`x`(%)->%`cBinaryRecursiveAggregate(S)``723772
oleft`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``723818
oleft`2`n`(%,Integer)->%`dOutputForm``723891
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``723977
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``724197
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``724417
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``724575
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``724939
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(%))->R`cFiniteRankNonAssociativeAlgebra(R)``725303
oleftDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`725608
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`725812
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(%,%)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`726061
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(%,%)->Record(coef1:%,coef2:%,generator:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`726182
oleft_ext_GCD`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Union(Record(g:XDistributedPolynomial(vl,F),c1:XDistributedPolynomial(vl,F),c2:XDistributedPolynomial(vl,F),cu:XDistributedPolynomial(vl,F),cv:XDistributedPolynomial(vl,F)),"failed")`pXPolynomialFactor(vl,F)``726295
oleftFactor`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``726657
oleftFactorIfCan`2`x`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``726808
oleftFamily`1`n`(%)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``727046
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`727107
oleftIdentity`1`n`(%)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``727344
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`727408
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`727608
oleftMinimization`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``727842
oleftMult`2`n`(S,%)->%`dListMonoidOps(S,E,un)``728012
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``728136
oleftOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Group)`728234
oleftOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Monoid)`728291
oleftPower`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
oleftPower`2`x`(%,NonNegativeInteger)->%`cMagmaWithUnit``728348
oleftPower`2`x`(%,PositiveInteger)->%`cMagma``728532
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`728716
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``728906
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`729062
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``729156
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`729393
oleftRecip`1`n`(S)->Union(S,"failed")`xAIntervalCategory&(S,R)``0
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
oleftRecip`1`x`(%)->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`729630
oleftRecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``729844
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(%)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``730029
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`x`(%,Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``730201
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`730491
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``730682
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``730874
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``730967
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``731245
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`x`(Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``731523
oleftTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oleftTrim`2`x`(%,CharacterClass)->%`cStringAggregate``731733
oleftTrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`731907
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`732069
oleftUnits`0`n`()->Union(Record(particular:%,basis:List(%)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``732192
oleftUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnits`0`x`()->Union(Record(particular:%,basis:List(%)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`732313
oleftZero`1`x`(%)->%`dEquation(S)`has(S,AbelianGroup)`732435
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``732492
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``732762
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`733108
olegendreP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``733271
olegendreP`3`x`(%,%,%)->%`cSpecialFunctionCategory``733341
olegendreQ`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``733411
olegendreQ`3`x`(%,%,%)->%`cSpecialFunctionCategory``733481
olength`1`n`(%)->NonNegativeInteger`dFreeMonoid(S)``733551
olength`1`n`(%)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``733607
olength`1`n`(%)->PositiveInteger`dFreeMagma(VarSet)``733699
olength`1`n`(%)->PositiveInteger`dLyndonWord(VarSet)``733766
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``733833
olength`1`x`(%)->%`cIntegerNumberSystem``733944
olength`1`x`(%)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`733998
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``734105
olerchPhi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``734139
olerchPhi`3`x`(%,%,%)->%`cSpecialFunctionCategory``734198
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``734257
oless?`2`x`(%,NonNegativeInteger)->Boolean`cAggregate``734359
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``734436
olevel`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``734632
oleviCivitaSymbol`0`x`()->%`dCartesianTensor(minix,dim,R)``734769
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``734994
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``735061
olexico`2`n`(%,%)->Boolean`dFreeMagma(VarSet)``735248
olexico`2`n`(%,%)->Boolean`dFreeMonoid(S)`has(S,OrderedSet)`735536
olexico`2`n`(%,%)->Boolean`dLyndonWord(VarSet)``735692
olexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``735848
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``736472
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``736847
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``737000
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``737071
olhs`1`n`(%)->S1`dSuchThat(S1,S2)``737294
olhs`1`x`(%)->F`dRewriteRule(Base,R,F)``737349
olhs`1`x`(%)->S`dEquation(S)``737419
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``737493
oli`1`x`(%)->%`cLiouvillianFunctionCategory``737553
oli`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``737680
oli`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oli`1`x`(Float)->Float`pFloatLiouvilianFunctions``737740
oli2`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``737800
olibrary`1`x`(FileName)->%`dLibrary``737845
olie`2`n`(%,%)->%`dJetVectorField(JB,D)``737899
olie`2`n`(JetVectorField(JB,D),%)->%`dJetDifferential(JB,D)``738035
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``738129
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``738334
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``738539
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``738855
oLiePoly`1`x`(LyndonWord(VarSet))->%`cFreeLieAlgebra(VarSet,R)``739171
oLiePolyIfCan`1`n`(%)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``739256
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(%,"failed")`dLiePolynomial(VarSet,R)``739335
olift`1`n`(%)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``739470
olift`1`n`(%)->Rep`dModMonic(R,Rep)``739562
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`x`(%)->UP`cMonogenicAlgebra(R,UP)``739618
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``739720
olift`8`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),SparseUnivariatePolynomial(R),P,List(OV),List(NonNegativeInteger),List(R),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateSquareFree(E,OV,R,P)``739759
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),(List(SparseUnivariatePolynomial(R)))->Union((SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed"),"failed"))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``739794
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)`has(R,EuclideanDomain)`740294
olight`1`x`(Color)->%`dPalette``740572
olighting`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``740652
oli_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``740908
olimit`2`n`(%,NonNegativeInteger)->Loop`dFunctionGraph(S)``740971
olimit`2`x`(FE,Equation(OrderedCompletion(FE)))->Union(OrderedCompletion(FE),Record(leftHandLimit:Union(OrderedCompletion(FE),"failed"),rightHandLimit:Union(OrderedCompletion(FE),"failed")),"failed")`pPowerSeriesLimitPackage(R,FE)``741112
olimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``741195
olimit`2`x`(Fraction(Polynomial(R)),Equation(OrderedCompletion(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``741320
olimit`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Loop`dMultifunctionGraph(S)``741445
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``741586
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``741777
olimitPart`1`n`(%)->%`dSmallOrdinal``742036
olimitPlus`1`n`(%)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``742180
olimitPlus`1`n`(%)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``742253
olin_comb`2`n`(Vector(F),List(F))->F`pLinearCombinationUtilities(F,UP)``742328
olin_comb`2`n`(Vector(F),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``742533
olin_comb`2`n`(Vector(F),List(LaurentPolynomial(F,UP)))->LaurentPolynomial(F,UP)`pLinearCombinationUtilities(F,UP)``742738
olin_comb`2`n`(Vector(F),List(UP))->UP`pLinearCombinationUtilities(F,UP)``742943
olin_comb`2`n`(Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``743148
olin_comb`2`n`(Vector(Fraction(Integer)),List(F))->F`pLinearCombinationUtilities(F,UP)``743362
olin_comb`2`n`(Vector(Fraction(Integer)),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``743567
olin_comb!`3`n`(Vector(F),Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``743772
oline`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``744023
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``744077
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``744204
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``744242
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(%,SparseUnivariatePolynomial(F))->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`744283
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(%)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`744934
olinearAssociatedLog`2`n`(S,S)->Union(SparseUnivariatePolynomial(F),"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`2`x`(%,%)->Union(SparseUnivariatePolynomial(F),"failed")`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`745084
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(%)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`745316
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``745468
olinearDependenceOverConstants`2`n`(Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``745694
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``745940
olinearExtend`2`n`((List(B))->M2,TensorPower(n,R,B,M1))->M2`pTensorPowerFunctions2(n,R,B,M1,M2)``746177
olinearExtend`2`x`((S)->M2,M1)->M2`pFreeModuleFunctions2(R,S,M1,M2)``746328
olinearExtend`2`x`((S)->R,%)->R`cFreeModuleCategory(R,S)`has(R,CommutativeRing)`746467
olinearization`1`n`(%)->Matrix(%)`dFreeDivisionAlgebra(VAR,F)``746593
olinearization`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``746749
olinearize`1`n`(List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta))))->List(JetBundleLinearFunction(JetBundleSymAna(JB1,xi,eta),JetBundleXExpression(JetBundleSymAna(JB1,xi,eta))))`pSymmetryAnalysis(JB1,xi,eta)``746827
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``746960
olinearlyDependentOverConstants?`2`n`(Vector(F),List((F)->F))->Boolean`pConstantLinearDependence(R,F)``747116
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``747290
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``747455
olinearSearch`1`n`((S)->Boolean)->Union(S,"failed")`pSortedCache(S)``747619
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``747820
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``747924
olineIntersect`2`n`(%,PT)->PT`dSBoundary(PT)``748050
olines`1`n`(%)->List(String)`dOutputBox``748305
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``748425
olink`2`n`(%,%)->List(PT)`dSBoundary(PT)``748463
olink`2`n`(NonNegativeInteger,NonNegativeInteger)->%`dDeltaComplex(VS)``748705
olink`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``748747
olin_sol`2`n`(List(F),List(Symbol))->Union(List(F),"failed")`pExpressionLinearSolve(R,F)``748876
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``749027
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``749172
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``749243
olist`1`x`(S)->%`cListAggregate(S)``749322
olistBranches`1`x`(%)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``749386
olistBranches`1`x`(%)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``749500
olistConjugateBases`3`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),NonNegativeInteger,NonNegativeInteger)->List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))`pChineseRemainderToolsForIntegralBases(K,R,UP)``749614
olistLoops`1`n`(%)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``749854
olistOfLists`1`n`(S)->List(List(R))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(%)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``749967
olistOfLists`1`x`(%)->List(List(R))`cTwoDimensionalArrayCategory(R,Row,Col)``750056
olistOfLists`1`x`(%)->List(List(S))`dTableau(S)``750144
olistOfMonoms`1`n`(%)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``750220
olistOfTerms`1`n`(%)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``750302
olistOfTerms`1`n`(%)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``750397
olistOfTerms`1`x`(%)->List(Record(k:S,c:A))`cIndexedDirectProductCategory(A,S)``750475
olistRepresentation`1`x`(%)->Record(preimage:List(S),image:List(S))`dPermutation(S)``750699
olists`1`n`(%)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``751063
olistYoungTableaus`1`x`(List(Integer))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``751132
oLLFI_to_LPA`3`n`(List(List(Fraction(Integer))),Integer,Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``751597
oLLFPI_to_LPA`5`n`(List(List(Fraction(Polynomial(Integer)))),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``751623
oLLF_to_LPA`5`n`(List(List(F)),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePadeSolver(F,S)``751649
oLLL`1`n`(Matrix(Integer))->Matrix(Integer)`pLLLReduction``751674
olllip`1`x`(%)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``751818
olllp`1`x`(%)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``752076
ollprop`1`x`(%)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``752322
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``752570
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``752769
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``752968
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``753819
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``754676
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``755527
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``756384
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``756444
olog10`0`x`()->%`dFloat``756560
olog10`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``756628
olog10`1`n`(PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``756706
olog10`1`x`(%)->%`dDoubleFloat``756799
olog10`1`x`(%)->%`dFloat``756872
olog1`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``756943
olog`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``757145
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``757212
olog`1`n`(F)->F`pElementaryFunction(R,F)``757360
olog`1`n`(%)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``757424
olog`1`n`(S)->S`xComplexCategory&(S,R)``0
olog`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``757480
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``757538
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``757596
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``757667
olog`1`x`(%)->%`cElementaryFunctionCategory``757740
olog2`0`x`()->%`dFloat``757979
olog2`1`n`(PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``758063
olog2`1`x`(%)->%`dDoubleFloat``758154
olog2`1`x`(%)->%`dFloat``758225
olog`2`n`(%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`758294
olog`2`n`(Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``758386
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``758486
ologDependenceQ`2`n`(List(Fraction(Integer)),Fraction(Integer))->Union(Vector(Fraction(Integer)),"failed")`pMultiplicativeDependence``758573
ologextint`3`n`(Symbol,List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer))))`pParametricIntegration(R,F)``758726
ologextint`5`n`((UP)->UP,(UP)->Factored(UP),(Matrix(F))->List(Vector(Fraction(Integer))),(List(UP))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer)))),List(Fraction(UP)))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer))))`pParametricTranscendentalIntegration(F,UP)``758915
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
ologGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``759135
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ologGamma`1`x`(Float)->Float`pFloatSpecialFunctions``759200
ological?`1`n`(%)->Boolean`dFortranScalarType``759265
ologicF`0`n`()->%`dILogic``759357
ologicF`0`n`()->%`dLatticeJoinOfMeets``759416
ologicF`0`n`()->%`dLatticeMeetOfJoins``759483
ologicT`0`n`()->%`dILogic``759550
ologicT`0`n`()->%`dLatticeJoinOfMeets``759592
ologicT`0`n`()->%`dLatticeMeetOfJoins``759635
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``759678
ologpart`1`n`(%)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``759763
olog_plus_1`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatElementaryFunctions``759843
olog_series`2`n`(Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``0
olommelS1`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``759918
olommelS1`3`x`(%,%,%)->%`cSpecialFunctionCategory``759985
olommelS2`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``760052
olommelS2`3`x`(%,%,%)->%`cSpecialFunctionCategory``760119
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(S)->PositiveInteger`xDirectProductCategory&(S,dim,R)``0
olookup`1`n`(S)->PositiveInteger`xFramedModule&(S,R)``0
olookup`1`n`(S)->PositiveInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``760186
olookup`1`x`(%)->PositiveInteger`cFinite``760259
oloop`1`n`(List(NonNegativeInteger))->%`dLoop``760347
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``760424
oloopsArrows`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsArrows`1`n`(%)->List(Loop)`cFiniteGraph(S)``760880
oloopsAtNode`2`n`(A,NonNegativeInteger)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsAtNode`2`n`(%,NonNegativeInteger)->List(Loop)`cFiniteGraph(S)``761235
oloopsNodes`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsNodes`1`n`(%)->List(Loop)`cFiniteGraph(S)``761341
olooseEquals`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
olooseEquals`2`n`(A,A)->Boolean`xPoset&(A,S)``0
olooseEquals`2`n`(%,%)->Boolean`cFiniteGraph(S)``761501
olow`1`x`(%)->S`cSegmentCategory(S)``761893
olowerCase`0`x`()->%`dCharacterClass``761982
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase?`1`x`(%)->Boolean`dCharacter``762106
olowerCase!`1`x`(%)->%`cStringAggregate``762215
olowerCase`1`x`(%)->%`cStringAggregate``762319
olowerCase`1`x`(%)->%`dCharacter``762400
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``762569
olowerSet`1`n`(%)->%`cPoset(S)``762721
olower_triangular_inverse`3`n`(U32Matrix,U32Vector,Integer)->U32Matrix`pModularU32MatrixOperations``762859
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``763080
olp`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``763289
olprop`1`x`(%)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``763579
olquo`2`n`(%,S)->Union(%,"failed")`dFreeMonoid(S)``763773
olquo`2`n`(%,%)->Union(%,"failed")`dFreeMonoid(S)``763855
olquo`2`x`(%,%)->%`cXFreeAlgebra(vl,R)``764045
olquo`2`x`(%,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``764134
olquo`2`x`(%,vl)->%`cXFreeAlgebra(vl,R)``764225
olquo`2`x`(XRecursivePolynomial(VarSet,R),%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``764320
olSpaceBasis`1`n`(%)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``764402
oLT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``764511
olub`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
olub`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``764600
oLUDecomp`1`n`(Matrix(D))->Record(LU:Matrix(D),Perm:Vector(Integer),Pivots:List(D))`pLUDecomposition(D)``764844
oLUInverse`1`n`(Matrix(D))->Record(Inv:Matrix(D),Pivots:List(D))`pLUDecomposition(D)``765084
olup_decomposition`2`n`(U32Matrix,Integer)->Record(lpart:U32Matrix,upart:U32Matrix,udinv:U32Vector,ppart:U32Vector)`pModularU32MatrixOperations``765170
oLUSolve`3`n`(Matrix(D),Vector(Integer),Vector(D))->Vector(D)`pLUDecomposition(D)``765555
olyndon?`1`n`(FreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``765756
olyndon`1`n`(FreeMonoid(VarSet))->%`dLyndonWord(VarSet)``765816
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``765917
oLyndonCoordinates`1`n`(%)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``766007
olyndonIfCan`1`n`(FreeMonoid(VarSet))->Union(%,"failed")`dLyndonWord(VarSet)``766091
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(%))`dLyndonWord(VarSet)``766157
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(%)`dLyndonWord(VarSet)``766288
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`cJetBundleCategory``766409
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`xJetBundleCategory&(S)``766480
omainCharacterization`1`x`(%)->Union(RightOpenIntervalRootCharacterization(%,SparseUnivariatePolynomial(%)),"failed")`dRealClosure(TheField)``766551
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``766645
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`766918
omainDefiningPolynomial`1`x`(%)->Union(SparseUnivariatePolynomial(%),"failed")`cRealClosedField``767127
omainForm`1`x`(%)->Union(OutputForm,"failed")`cRealClosedField``767238
omainKernel`1`n`(S)->Union(K,"failed")`xExpressionSpace2&(S,K)``0
omainKernel`1`n`(S)->Union(K,"failed")`xFunctionSpace2&(S,R,K)``0
omainKernel`1`x`(%)->Union(K,"failed")`cExpressionSpace2(K)``767312
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``767480
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``767675
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`767935
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`768157
omainValue`1`x`(%)->Union(SparseUnivariatePolynomial(%),"failed")`cRealClosedField``768382
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``768489
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`n`(%)->Union(VarSet,"failed")`cMaybeSkewPolynomialCategory(R,E,VarSet)``768646
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``768844
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``769001
omainVariableOf`1`n`(%)->Symbol`dCell(TheField)``769123
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(%)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``769189
omakeCell`1`n`(List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField))))->%`dCell(TheField)``769333
omakeCell`2`n`(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)),%)->%`dCell(TheField)``769411
omakeCos`2`x`(E,R)->%`dFourierSeries(R,E)``769535
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``769622
omakeDisjoint`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``769659
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``769785
omakeFEq`6`n`(BasicOperator,Symbol,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``769903
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``770210
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``770470
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger))))->Factored(UP)`pGaloisGroupFactorizer(UP)``770788
omakeFR`2`x`(R,List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger)))->%`dFactored(R)``770895
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->%`dGraphImage``770992
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->%`dGraphImage``771226
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->%`dGraphImage``771667
omake_imaginary_part_function`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``772167
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->%`dListMonoidOps(S,E,un)``772444
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``772528
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``772796
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``773064
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``773371
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``773634
omakeObject`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``773919
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``774143
omakeObject`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``774480
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``774711
omakeObject`3`x`(ParametricComplexCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``775033
omakeObject`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``775125
omakeObject`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``775390
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``775665
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``776002
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``776404
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``776748
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``777149
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``777507
omakeObject`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``777880
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``778084
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``778493
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``778925
omakeop`2`n`(R,FreeGroup(BasicOperator))->%`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->%`dModuleOperator(R,M)``779421
omake_real_part_function`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``779474
omakeRec`5`n`(BasicOperator,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``779746
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``780233
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->%`dPatternMatchListResult(R,S,L)``780417
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->%`dInnerSparseUnivariatePowerSeries(Coef)``780500
omakeSin`2`x`(E,R)->%`dFourierSeries(R,E)``780619
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->%`dPlaneAlgebraicCurvePlot``780706
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(%)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``781576
omakeSystem`1`n`(List(D))->%`dJetDifferentialEquation(JB,D)``781703
omakeTerm`2`n`(S,E)->%`dListMonoidOps(S,E,un)``781780
omakeUnit`0`n`()->%`dListMonoidOps(S,E,un)``781913
omakeVariable`1`n`(A)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`x`(%)->(NonNegativeInteger)->%`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`781980
omakeVariable`1`x`(S)->(NonNegativeInteger)->%`cDifferentialPolynomialCategory(R,S,V,E)``782302
omakeVariable`2`x`(S,NonNegativeInteger)->%`cDifferentialVariableCategory(S)``782619
omakeViewport2D`1`n`(%)->%`dTwoDimensionalViewport``782759
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->%`dTwoDimensionalViewport``782977
omakeViewport3D`1`x`(%)->%`dThreeDimensionalViewport``783317
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->%`dThreeDimensionalViewport``783539
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->%`dThreeDimensionalViewport``783867
omakeYoungTableau`2`x`(List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``784106
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``784384
omantissa`1`n`(%)->Integer`dMachineFloat``784472
omantissa`1`x`(%)->Integer`cFloatingPointSystem``784531
omap`2`n`((A)->A,%)->%`cIndexedProductCategory(A,S)``784596
omap`2`n`((A)->B,MA)->MB`pTwoDimensionalArrayFunctions(A,RA,CA,MA,B,RB,CB,MB)``784744
omap!`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap!`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Expression(CoefRing))->Expression(CoefRing),%)->%`dDeRhamComplex(CoefRing,listIndVar)``784882
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->%`dFakePolynomial``0
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),%)->Union(%,"failed")`dFakePolynomial``0
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``784989
omap`2`n`((R1)->R2,A1)->A2`pFiniteAbelianMonoidRingFunctions2(E,R1,A1,R2,A2)``785029
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``785151
omap!`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Record(numer:Polynomial(Integer),denom:Polynomial(Integer)))->Union(Polynomial(Integer),"failed"),%)->Union(SparseUnivariatePolynomial(Polynomial(Integer)),"failed")`dFakePolynomial``0
omap`2`n`((R)->R,%)->%`dAntiSymm(R,lVar)``785245
omap`2`n`((R)->R,%)->%`dXPolynomialRing(R,E)``785338
omap`2`n`((R)->R,S)->S`xAbelianMonoidRing&(S,R,E)``0
omap`2`n`((R)->R,S)->S`xComplexCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xOctonionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xQuaternionCategory&(S,R)``0
omap!`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``785435
omap!`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap`2`n`((S)->S,A)->A`xListAggregate&(A,S)``0
omap!`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xQuotientFieldCategory&(A,S)``0
omap!`2`n`((S)->S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
omap`2`n`((S)->S,K)->S`xExpressionSpace2&(S,K)``0
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``785568
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``785606
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``785746
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``785864
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``785946
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``786118
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``786303
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``786447
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``786620
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``786725
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``786926
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``787066
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``787225
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``787263
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``787301
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``787339
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``787446
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``787553
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``787673
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``787713
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``787812
omap`2`x`((E)->F,Union(Record(mainpart:E,limitedlogs:List(Record(coeff:E,logand:E))),"failed"))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pIntegrationResultFunctions2(E,F)``787851
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``787891
omap`2`x`((%)->%,K)->%`cExpressionSpace2(K)``787931
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``788026
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``788106
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``788146
omap`2`x`((R1)->R2,M1)->M2`pFreeModuleCoefficientFunctions2(R1,R2,S,M1,M2)``788186
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``788273
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``788367
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``788461
omap`2`x`((R1)->R2,Sequence(R1))->Sequence(R2)`pSequenceFunctions2(R1,R2)``788499
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``788577
omap`2`x`((R)->R,%)->%`cFullyEvalableOver(R)``788671
omap`2`x`((R)->R,%)->%`cMatrixOperationsCategory(R,Row,Col)``788762
omap!`2`x`((R)->R,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``788863
omap`2`x`((R)->R,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``788951
omap`2`x`((R)->R,%)->%`cXFreeAlgebra(vl,R)``789047
omap`2`x`((R)->R,%)->%`dFactored(R)``789144
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``789409
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``789506
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``789698
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``789779
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``789864
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``790123
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``790295
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``790407
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``790576
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``790665
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``790787
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``790932
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``790970
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``791251
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``791342
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`791419
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``791634
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``791702
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``791835
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`791968
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``792055
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``792160
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``792321
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``792479
omap!`2`x`((S)->S,%)->%`cHomogeneousAggregate(S)`has(%,shallowlyMutable)`792569
omap`2`x`((S)->S,%)->%`cHomogeneousAggregate(S)``792667
omap`2`x`((S)->S,%)->%`dEquation(S)``792832
omap`2`x`((S)->S,%)->%`dInfiniteTuple(S)``792927
omap`2`x`((S)->S,%)->L`cSegmentExpansionCategory(S,L)``793008
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``793219
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((F)->S,Symbol,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``793346
omap`3`n`((R,R)->R,S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`3`n`((S,S)->S,A,A)->A`xListAggregate&(A,S)``0
omap`3`n`((S,S)->S,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`3`n`((Vars)->S,(R)->S,P)->S`pPolynomialCategoryLifting(E,Vars,R,P,S)``793481
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``793776
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``793817
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``793858
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``794273
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``794314
omap`3`x`((Entry,Entry)->Entry,%,%)->%`cTableAggregate(Key,Entry)``794559
omap`3`x`((R,R)->R,%,%)->%`cRectangularMatrixCategory(m,n,R,Row,Col)``794802
omap`3`x`((R,R)->R,%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``794940
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``795048
omap`3`x`((S,S)->S,%,%)->%`cLinearAggregate(S)``795163
omap`4`n`((R,R)->R,S,S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`4`x`((R,R)->R,%,%,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``795365
omap`4`x`((R)->S,OrderedCompletion(R),OrderedCompletion(S),OrderedCompletion(S))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``795687
omap`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omap`5`n`(%,List(NonNegativeInteger),List(S),Integer,Integer)->%`cFiniteGraph(S)``795853
omapall`2`x`((R1)->R2,Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``796245
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``796338
omapContra`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omapContra`5`n`(%,List(NonNegativeInteger),List(S),Integer,Integer)->%`cFiniteGraph(S)``796446
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)`has(A,Field)`796570
omapDown!`3`x`(%,S,(S,S)->S)->%`dBalancedBinaryTree(S)``796654
omapDown!`3`x`(%,S,(S,S,S)->List(S))->%`dBalancedBinaryTree(S)``797084
omapExpon`2`n`((E)->E,%)->%`dListMonoidOps(S,E,un)``797662
omapExpon`2`n`((Integer)->Integer,%)->%`dFreeGroup(S)``797747
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,%)->%`dFreeMonoid(S)``797832
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,%)->%`cFiniteAbelianMonoidRing(R,E)``797917
omapGen`2`n`((S)->S,%)->%`dFreeGroup(S)``798044
omapGen`2`n`((S)->S,%)->%`dFreeMonoid(S)``798127
omapGen`2`n`((S)->S,%)->%`dListMonoidOps(S,E,un)``798210
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``798293
omapmult`2`n`(Stream(M),Stream(R))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(M,RightModule(R))`798461
omapmult`2`n`(Stream(R),Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``798546
omap_preserving`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``798631
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``798808
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``798911
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``799014
omapUp!`2`x`(%,(S,S)->S)->S`dBalancedBinaryTree(S)``799174
omapUp!`3`x`(%,%,(S,S,S,S)->S)->%`dBalancedBinaryTree(S)``799495
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(%)->%`cIntegerNumberSystem``799958
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``800025
omatch?`3`x`(%,%,Character)->Boolean`cStringAggregate``800427
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``800614
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``800985
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``801343
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``801715
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``802101
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``802472
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``802560
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``802801
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``802889
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``803129
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``803217
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``803458
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``803546
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``803787
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``803875
omatrix`1`n`(List(List(%)))->%`dOutputForm``804116
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(%)->Matrix(R)`dIncidenceAlgebra(R,S)``804226
omatrix`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``804306
omatrix`1`x`(List(List(R)))->%`cMatrixCategory(R,Row,Col)``804373
omatrix`1`x`(List(List(R)))->%`cRectangularMatrixCategory(m,n,R,Row,Col)``804517
omatrix`1`x`(%)->SquareMatrix(n,K)`dQuadraticForm(n,K)``804661
omatrix`2`n`(%,FreeMonoid(VAR))->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``804745
omatrix`2`n`(%,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``804852
omatrix`2`n`(String,String)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``804934
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`x`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->%`cMatrixCategory(R,Row,Col)``805098
omatrixConcat3D`3`n`(Symbol,%,%)->%`dThreeDimensionalMatrix(R)``805212
omatrixDimensions`1`n`(%)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``805310
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``805379
omax`0`x`()->%`cFloatingPointSystem`AND(not(has(%,arbitraryExponent)),not(has(%,arbitraryPrecision)))`805552
omax`0`x`()->%`dSingleInteger``805615
omax`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`1`n`(A)->NonNegativeInteger`xPoset&(A,S)``0
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`n`(A)->S`xHomogeneousAggregate&(A,S)``0
omax`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``805671
omax`1`x`(%)->S`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`805854
omax`1`x`(%)->S`cPriorityQueueAggregate(S)``805940
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xPoset&(A,S)``0
omax`2`n`(%,%)->%`cSPointCategory``806017
omax`2`n`(%,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``806292
omax`2`n`((S,S)->Boolean,A)->S`xFiniteSetAggregate&(A,S)``0
omax`2`n`((S,S)->Boolean,A)->S`xHomogeneousAggregate&(A,S)``0
omax`2`n`(S,S)->S`xOrderedSet&(S)``0
omax`2`x`(%,%)->%`cOrderedSet``806492
omax`2`x`((S,S)->Boolean,%)->S`cHomogeneousAggregate(S)`has(%,finiteAggregate)`806584
omaxColIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``806723
omaxColIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``806815
omaxdeg`1`n`(%)->E`dXPolynomialRing(R,E)``806905
omaxdeg`1`x`(%)->FreeMonoid(vl)`cXPolynomialsCat(vl,R)``807063
omaxDegree`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``807149
omaxDegree`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``807206
omaxDerivative`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``807551
omaxDerivative`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``807616
omaximumExponent`0`n`()->Integer`dMachineFloat``807783
omaximumExponent`1`n`(Integer)->Integer`dMachineFloat``807857
omaxIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
omaxIndex`1`n`(A)->Integer`xLinearAggregate&(A,S)``0
omaxIndex`1`n`(%)->NonNegativeInteger`dFiniteCubicalComplex(VS)``807941
omaxIndex`1`n`(%)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``807972
omaxIndex`1`n`(%)->NonNegativeInteger`dOrientedFacet``808003
omaxIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
omaxIndex`1`x`(%)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`808032
omaxint`0`n`()->PositiveInteger`dMachineInteger``808215
omaxint`1`n`(PositiveInteger)->PositiveInteger`dMachineInteger``808279
omaxLevel`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``808353
omaxLevel`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``808408
omaxMixedDegree`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``808608
omaxMixedDegree`1`x`(NonNegativeInteger)->%`dGuessOption``808675
omaxPoints`0`n`()->Integer`dPlot``809010
omaxPoints`0`x`()->Integer`pGraphicsDefaults``809083
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``809157
omaxPoints3D`0`n`()->Integer`dPlot3D``809228
omaxPower`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``809304
omaxPower`1`x`(Union(PositiveInteger,"arbitrary"))->%`dGuessOption``809359
omaxPrecedence`0`n`()->Integer`cFormatterCategory``809658
omaxPrecedence`0`n`()->Integer`xFormatterCategory&(S)``809726
omaxrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``809794
omaxrow`6`n`(List(S),List(List(List(S))),List(List(S)),List(List(List(S))),List(List(List(S))),List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``809876
omaxRowIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``809951
omaxRowIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``810040
omaxShift`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``810127
omaxShift`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``810182
omaxSubst`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``810321
omaxSubst`1`x`(Union(PositiveInteger,"arbitrary"))->%`dGuessOption``810376
om_call?`1`n`(%)->Boolean`dTeXTree``810716
om_call`2`n`(String,List(%))->%`dTeXTree``810807
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(%)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``810922
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`811111
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`812116
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`812498
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`812674
omedialSet`1`x`(List(P))->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``813706
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``813809
omeet`1`n`(List(%))->%`dLatticeJoinOfMeets``814347
omeet`1`n`(List(%))->%`dLatticeMeetOfJoins``814385
omeet`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cCoDcpo(S)``814423
omeetIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``814582
omeetIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``814673
omeijerG`5`n`(List(F),List(F),List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`814926
omeijerG`5`x`(List(%),List(%),List(%),List(%),%)->%`cSpecialFunctionCategory`has(%,RetractableTo(Integer))`814992
omeixnerM`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``815058
omeixnerM`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``815120
omeixnerP`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``815182
omeixnerP`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``815261
omember?`2`n`(PositiveInteger,%)->Boolean`dSetOfMIntegersInOneToN(m,n)``815340
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(S,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
omember?`2`n`(S,A)->Boolean`xHomogeneousAggregate&(A,S)``0
omember?`2`n`(Vector(R),%)->Boolean`dVectorSpaceBasis(R)``815440
omember?`2`x`(Permutation(S),%)->Boolean`dPermutationGroup(S)``815537
omember?`2`x`(S,%)->Boolean`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`815655
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`n`(%)->List(P)`dFiniteMoebiusFunction(P)``815871
omembers`1`n`(%)->List(P)`dGeneralizedFiniteMoebiusFunction(P,R)``815934
omembers`1`x`(%)->List(S)`cHomogeneousAggregate(S)`has(%,finiteAggregate)`815997
omerge`1`n`(List(%))->%`dSubSpace(n,R)``816169
omerge`1`x`(List(%))->%`cThreeSpaceCategory(R)``816244
omerge2`7`n`(Integer,List(Integer),List(Integer),Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->Record(offsetdata:Vector(Integer),expdata:SortedExponentVector)`pInnerModularHermitePade``0
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xPoset&(A,S)``0
omerge`2`n`(%,%)->%`cFiniteGraph(S)``816432
omerge`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``816621
omerge`2`n`(%,%)->%`dSubSpace(n,R)``816669
omerge!`2`x`(%,%)->%`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`816759
omerge`2`x`(%,%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`816849
omerge`2`x`(%,%)->%`cPriorityQueueAggregate(S)``816968
omerge!`2`x`(%,%)->%`cPriorityQueueAggregate(S)``817089
omerge`2`x`(%,%)->%`cThreeSpaceCategory(R)``817216
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge!`3`x`((S,S)->Boolean,%,%)->%`cExtensibleLinearAggregate(S)``817392
omerge`3`x`((S,S)->Boolean,%,%)->%`cLinearAggregate(S)`has(%,finiteAggregate)`817491
omergeDifference`2`x`(List(S),List(S))->List(S)`pMergeThing(S)``818063
omerge_exponents`5`n`(Integer,Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->List(List(Integer))`pInnerModularHermitePade``0
omergeFactors`2`x`(%,%)->%`dFactored(R)``818194
omesh?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``818491
omesh`1`x`(List(List(Point(R))))->%`cThreeSpaceCategory(R)``818701
omesh`1`x`(%)->List(List(Point(R)))`cThreeSpaceCategory(R)``818916
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``819170
omesh`4`x`(%,List(List(List(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``819890
omesh`4`x`(%,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->%`cThreeSpaceCategory(R)``820779
omesh`4`x`(%,List(List(Point(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``821311
omesh`4`x`(%,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->%`cThreeSpaceCategory(R)``822062
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``822418
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``822475
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``822534
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``822588
omeshPar2Var`7`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``822915
omessage`1`n`(String)->%`dOutputForm``822978
omessagePrint`1`n`(String)->Void`dOutputForm``823062
omfactor`2`n`(PA,MD)->List(PA)`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``823202
omfactor`2`n`(PrimitiveArray(K),Record(i_mod:Integer,deg:Integer))->List(PrimitiveArray(K))`pModularFactorizationK(K)``0
omfactor`2`n`(U32Vector,Integer)->List(U32Vector)`pModularFactorization``0
omiddle`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``823410
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``823481
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``823558
omightHaveRoots`2`x`(ThePolDom,%)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``823663
omin`0`x`()->%`cFloatingPointSystem`AND(not(has(%,arbitraryExponent)),not(has(%,arbitraryPrecision)))`823737
omin`0`x`()->%`dSingleInteger``823800
omin`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`1`n`(A)->NonNegativeInteger`xPoset&(A,S)``0
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`n`(A)->S`xHomogeneousAggregate&(A,S)``0
omin`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``823857
omin`1`x`(%)->S`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`824033
omin`1`x`(%)->S`cOrderedMultisetAggregate(S)``824119
omin`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xPoset&(A,S)``0
omin`2`n`(%,%)->%`cSPointCategory``824203
omin`2`n`(%,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``824480
omin`2`n`(S,S)->S`xOrderedSet&(S)``0
omin`2`x`(%,%)->%`cOrderedSet``824673
ominColIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``824765
ominColIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``824858
omindeg`1`n`(%)->E`dXPolynomialRing(R,E)``824949
omindeg`1`x`(%)->FreeMonoid(vl)`cXFreeAlgebra(vl,R)``825107
omindegTerm`1`x`(%)->Record(k:FreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``825203
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``825280
ominimal?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``825318
ominimalMatrix`2`n`(Matrix(F),NonNegativeInteger)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``825386
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ominimalPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ominimalPolynomial`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``825512
ominimalPolynomial`1`x`(%)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`825630
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(%,PositiveInteger)->SparseUnivariatePolynomial(%)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`825709
ominimalRepresentation`1`n`(XDistributedPolynomial(VAR,F))->Record(alpha:Matrix(F),mu:List(Matrix(F)),var:List(VAR),beta:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``825867
ominimize`1`n`(%)->%`dFractionalIdeal(R,F,UP,A)``826073
ominimize`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``826149
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(%)->E`cFiniteAbelianMonoidRing(R,E)``826324
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`x`(%,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``826447
ominimumDegree`2`x`(%,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``826603
ominimumExponent`0`n`()->Integer`dMachineFloat``826772
ominimumExponent`1`n`(Integer)->Integer`dMachineFloat``826846
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(%)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``826930
ominIndex`1`n`(%)->NonNegativeInteger`dOrientedFacet``826961
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`x`(%)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`826990
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``827171
ominordet`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`827295
ominordet`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`827419
ominPoints`0`n`()->Integer`dPlot``827507
ominPoints`0`x`()->Integer`pGraphicsDefaults``827580
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``827654
ominPoints3D`0`n`()->Integer`dPlot3D``827725
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``827801
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``827836
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`827871
ominPoly`1`x`(K)->SparseUnivariatePolynomial(%)`cExpressionSpace2(K)`has(%,Ring)`827941
ominPrecedence`0`n`()->Integer`cFormatterCategory``828010
ominPrecedence`0`n`()->Integer`xFormatterCategory&(S)``828078
ominrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``828146
ominRowIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``828228
ominRowIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``828318
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``828406
ominShift`1`n`(List(T))->List(T)`pListPackage(T)`has(T,OrderedSet)`828555
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``828656
ominus`2`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer))->Record(mantissa:Integer,exponent:Integer)`pFloatingPointOperations``828806
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``828872
ominus`3`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``829069
ominusInfinity`0`x`()->%`dOrderedCompletion(R)``829173
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``829222
om_inverse`4`n`(Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Integer)->Union(Polynomial(Integer),"failed")`dModularAlgebraicGcdTools3``829275
omirror`1`n`(%)->%`dFreeMagma(VarSet)``829387
omirror`1`n`(%)->%`dFreeMonoid(S)``829599
omirror`1`n`(%)->%`dLieExponentials(VarSet,R,Order)``829662
omirror`1`x`(%)->%`cFreeLieAlgebra(VarSet,R)``829744
omirror`1`x`(%)->%`cXFreeAlgebra(vl,R)``829840
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``829940
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->%`dIntegrationResult(F)``829975
omkcomm`1`x`(Integer)->%`dCommutator``830128
omkcomm`2`x`(%,%)->%`dCommutator``830168
omk_erf`2`n`(F,F)->F`pElementaryRischDEX(R,F)``830211
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``830271
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`830528
ommul`4`n`(U32Matrix,U32Matrix,Integer,Integer)->U32Matrix`pModularU32MatrixOperations``830647
omod_exp`3`n`(PA,Integer,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``830817
omodifyPoint`3`n`(%,List(NonNegativeInteger),NonNegativeInteger)->%`dSubSpace(n,R)``830907
omodifyPoint`3`n`(%,List(NonNegativeInteger),Point(R))->%`dSubSpace(n,R)``831386
omodifyPoint`3`n`(%,NonNegativeInteger,Point(R))->%`dSubSpace(n,R)``831833
omodifyPointData`3`x`(%,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``832136
omodifyPointData`3`x`(%,NonNegativeInteger,Point(R))->%`cThreeSpaceCategory(R)``832393
omodpeval`4`n`(Polynomial(Integer),List(Symbol),List(Integer),Integer)->Integer`pPolynomialEvaluationUtilities``832623
omodpreduction`2`n`(Fraction(Polynomial(Integer)),Integer)->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``832772
omodpreduction`2`n`(MP,Integer)->Union(MP,"failed")`cModularEvaluationCategory(PT,MP)``832866
omodpreduction`2`n`(Polynomial(Integer),Integer)->Polynomial(Integer)`pPolynomialEvaluationUtilities``832954
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``833043
omodular_compose`5`n`(PA,MMT,PA,NonNegativeInteger,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``833087
omodularFactor`2`n`(UP,Set(NonNegativeInteger))->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``833298
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``833837
omodularInvariantJ`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``833972
omodule`1`n`(FractionalIdeal(R,F,UP,A))->%`dFractionalIdealAsModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`834211
omodule`1`n`(Vector(A))->%`dFractionalIdealAsModule(R,F,UP,A,ibasis)``834286
omoduleSum`2`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pIntegralBasisTools(R,UP,F)``834384
omoduloP`1`x`(%)->Integer`cPAdicIntegerCategory(p)``835243
omodulus`0`n`()->Rep`dModMonic(R,Rep)``835304
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``835353
omodulus`1`n`(%)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``835408
omodulus`1`n`(%)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``835447
omodulus`1`n`(%)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``835486
omoebius`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
omoebius`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``835525
omoebius`4`n`(F,F,F,F)->%`dMoebiusTransform(F)``835753
omoebiusBand`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``835827
omoebiusBand`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``835953
omoebiusFunction`1`n`(List(P))->%`dFiniteMoebiusFunction(P)``836085
omoebiusMatrix`1`n`(%)->Matrix(Integer)`dFiniteMoebiusFunction(P)``836169
omoebiusMatrix`1`n`(%)->Matrix(R)`dGeneralizedFiniteMoebiusFunction(P,R)``836227
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``836284
omoebiusMu`3`n`(%,P,P)->Integer`dFiniteMoebiusFunction(P)``836557
omoment2booleanCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``836638
omoment2cumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``836761
omoment2freeCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``836879
omoment2jacobi`1`n`(Sequence(R))->Record(an:Stream(R),bn:Stream(R))`pMomentPackage(R)`has(R,Field)`836996
omoment2jacobi2`1`n`(Sequence(R))->Stream(Record(an:R,bn:R))`pMomentPackage(R)`has(R,Field)`837079
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`837183
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``837299
omoment`2`n`(%,NonNegativeInteger)->R`cDistributionCategory(R)``837415
omoment2nthJacobi`1`n`(List(R))->Record(an:List(R),bn:List(R))`pMomentPackage(R)`has(R,Field)`837502
omoment2Stransform`1`n`(Sequence(R))->Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R))`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`837631
omoments`1`n`(%)->Sequence(R)`cDistributionCategory(R)``837759
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``837845
omonic?`1`x`(%)->Boolean`cRecursivePolynomialCategory(R,E,V)``837948
omonicCompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``838127
omonicDecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``838356
omonicDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariatePolynomialCategory(R)`has(R,Ring)`838498
omonicDivide`3`n`(S,S,VarSet)->Record(quotient:S,remainder:S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonicDivide`3`x`(%,%,VarSet)->Record(quotient:%,remainder:%)`cPolynomialCategory(R,E,VarSet)`has(R,Ring)`838683
omonicLeftDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`838928
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`839161
omonicModulo`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``839439
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``839602
omonicRightDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`839727
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`839962
omonicRightFactorIfCan`2`x`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``840242
omonologextint`3`n`(List(UP),(Matrix(F))->List(Vector(Fraction(Integer))),(List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer))))`pParametricTranscendentalIntegration(F,UP)``840502
omonom`2`n`(M,Integer)->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``840574
omonomial1`1`n`(MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``840663
omonomial?`1`n`(%)->Boolean`cIndexedProductCategory(A,S)``840740
omonomial?`1`n`(%)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``840879
omonomial?`1`n`(%)->Boolean`dLaurentPolynomial(R,UP)``840946
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``840987
omonomial`2`n`(A,S)->%`cIndexedProductCategory(A,S)``841060
omonomial`2`n`(R,E)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Expon)->%`cSolvableSkewPolynomialCategory(R,Expon)``841169
omonomial`2`n`(R,Integer)->%`dLaurentPolynomial(R,UP)``841265
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``841308
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(K,List(PositiveInteger))->%`dCliffordAlgebra(n,K,bLin)``841351
omonomial`2`x`(R,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``841456
omonomial`3`n`(%,List(VarSet),List(NonNegativeInteger))->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``841555
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(%,VarSet,NonNegativeInteger)->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``841631
omonomial`3`x`(%,List(Var),List(NonNegativeInteger))->%`cMultivariateTaylorSeriesCategory(Coef,Var)``841791
omonomial`3`x`(%,Var,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``841895
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``841949
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``842154
omonomials`1`n`(A)->List(A)`xFreeModuleCategory&(A,R,S)``0
omonomials`1`n`(%)->List(%)`cMaybeSkewPolynomialCategory(R,E,VarSet)``842314
omonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`x`(%)->List(%)`cFreeModuleCategory(R,S)``842492
omonotoneConvolution`2`n`(%,%)->%`cDistributionCategory(R)``842577
omonotoneCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``842693
omonotoneCumulant2momentPoly`1`n`(Sequence(R))->Sequence(SparseUnivariatePolynomial(R))`pMomentPackage(R)``842818
omonotoneCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)`has(R,Algebra(Fraction(Integer)))`842983
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`843091
omore?`2`x`(%,NonNegativeInteger)->Boolean`cAggregate``843296
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``843373
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``843616
omorphism`1`n`((R,Integer)->R)->%`dAutomorphism(R)``843859
omorphism`1`n`((R)->R)->%`dAutomorphism(R)``843940
omorphism`2`n`((R)->R,(R)->R)->%`dAutomorphism(R)``844021
omotzkinPathArray`3`n`(Stream(R),Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``844144
omove`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``844318
omove`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``844558
omovedPoints`1`x`(%)->Set(S)`dPermutationGroup(S)``844802
omovedPoints`1`x`(%)->Set(S)`dPermutation(S)``844880
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``844970
oMPtoMPT`4`n`(MP,Symbol,List(Symbol),MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``845142
omr`1`n`(List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``845221
omrv_cmp`4`n`(Kernel(Expression(Integer)),Kernel(Expression(Integer)),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(sign:Integer,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``845394
omrv_limit1`2`n`(Expression(Integer),Symbol)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``845434
omrv_limit`2`n`(Expression(Integer),Equation(OrderedCompletion(Expression(Integer))))->Union(OrderedCompletion(Expression(Integer)),Record(leftHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed"),rightHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed")),"failed")`pMrvLimitPackage``845496
omrv_limit`3`n`(Expression(Integer),Equation(Expression(Integer)),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``845608
omrv_limit`3`n`(Expression(Integer),Symbol,OrderedCompletion(Expression(Integer)))->Union(OrderedCompletion(Expression(Integer)),Record(leftHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed"),rightHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed")),"failed")`pMrvLimitPackage``845788
omrv_limit`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``845864
omrv_limit`4`n`(Expression(Integer),Symbol,Expression(Integer),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``845913
omrv_normalize`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Expression(Integer)`pMrvLimitPackage``846006
omrv_rewrite0`4`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Expression(Integer))->Expression(Integer)`pMrvLimitPackage``846116
omrv_rewrite`5`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(degree:OrderedExpression,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``846197
omrv_set`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(lk:List(Kernel(Expression(Integer))),lc:List(Expression(Integer))),"failed")`pMrvLimitPackage``846298
omrv_sign`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Integer,"failed")`pMrvLimitPackage``846345
oMu`0`n`()->Symbol`pMathematicalSymbols``846418
omu`0`n`()->Symbol`pMathematicalSymbols``846481
omul`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``846542
omul_by_binomial`3`n`(U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``846576
omul_by_binomial`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``846764
omul_by_scalar`3`n`(PrimitiveArray(K),Integer,K)->Void`dModularFactorizationTools3(K)``0
omul_by_scalar`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``846999
omulmod`3`x`(%,%,%)->%`cIntegerNumberSystem``847167
omul_mv`4`n`(U32Vector,U32Matrix,U32Vector,Integer)->Void`pModularU32MatrixOperations``847242
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(%),%)->Union(List(%),"failed")`cEuclideanDomain``847358
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``847569
omultifunctionGraph`1`n`(List(Permutation(S)))->%`dMultifunctionGraph(S)``847624
omultifunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:List(NonNegativeInteger),map:List(List(NonNegativeInteger)))))->%`dMultifunctionGraph(S)``847676
omultifunctionGraph`1`n`(List(S))->%`dMultifunctionGraph(S)``847824
omultifunctionGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dMultifunctionGraph(S)``848129
omultifunctionGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dMultifunctionGraph(S)``848298
omultiIndex`1`n`(%)->List(NonNegativeInteger)`cJetBundleCategory``848415
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``848499
omultiple?`1`n`(%)->Boolean`dPattern(R)``848612
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``848757
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``849061
omultiplicative?`2`n`(%,PositiveInteger)->Boolean`dDirichletRing(Coef)``849329
omultiplyALS`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``849444
omultiplyCoefficients`2`n`((Integer)->Coef,%)->%`dInnerSparseUnivariatePowerSeries(Coef)``849587
omultiplyCoefficients`2`x`((Integer)->Coef,%)->%`cUnivariateLaurentSeriesCategory(Coef)``849749
omultiplyCoefficients`2`x`((Integer)->Coef,%)->%`cUnivariateTaylorSeriesCategory(Coef)``849960
omultiplyColumn!`3`n`(%,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``850179
omultiplyColumn!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``850283
omultiplyExponents`2`x`(%,Fraction(Integer))->%`cUnivariatePuiseuxSeriesCategory(Coef)``850365
omultiplyExponents`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)``850499
omultiplyExponents`2`x`(%,PositiveInteger)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``850668
omultiplyMIN`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``850794
omultiplyRow!`3`n`(%,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``850880
omultiplyRow!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``850978
omultisect`3`n`(Integer,Integer,%)->%`dUnivariateFormalPowerSeries(Coef)``0
omultisect`3`n`(Integer,Integer,%)->%`dUnivariateTaylorSeries(Coef,var,cen)``851053
omultisect`3`n`(Integer,Integer,Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``851194
omultiset`0`x`()->%`dMultiset(S)``851310
omultiset`1`x`(List(S))->%`dMultiset(S)``851391
omultiset`1`x`(S)->%`dMultiset(S)``851467
omulti_SPDE`5`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),List(SparseUnivariatePolynomial(F)),Integer,(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Union(List(Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))),Record(ans:List(SparseUnivariatePolynomial(F)),acoeff:SparseUnivariatePolynomial(F),eegen:SparseUnivariatePolynomial(F),bpar:SparseUnivariatePolynomial(F),lcpar:List(SparseUnivariatePolynomial(F)),dpar:Integer))`pRDEaux(F)``851537
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``851580
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``851681
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->%`cPolynomialCategory(R,E,VarSet)``851782
omultivariate`2`x`(SparseUnivariatePolynomial(%),VarSet)->%`cPolynomialCategory(R,E,VarSet)``851915
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``852048
omultivector`1`x`(List(K))->%`dCliffordAlgebra(n,K,bLin)``852098
omultMonom`3`n`(R,E,%)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``852173
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``852220
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``852321
omutable?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``852460
omvar`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
omvar`1`n`(S)->V`xTriangularSetCategory&(S,R,E,V,P)``0
omvar`1`x`(%)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``852529
omvar`1`x`(%)->V`cRecursivePolynomialCategory(R,E,V)``852677
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``852866
omy_digamma`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``852905
omy_root3`1`n`(F)->F`pRootUtilities(R,F)``852962
omy_sqrt`1`n`(F)->F`pRootUtilities(R,F)``853020
onaiveBeckermannLabahn0`8`n`(Vector(U32Vector),Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->Void`pNaiveBeckermannLabahnModular``853077
onaiveBeckermannLabahn1`7`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahn1`7`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahn`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``853104
onaiveBeckermannLabahn`4`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``853629
onaiveBeckermannLabahnMultipoint`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``854154
onaiveBeckermannLabahnMultipoint`4`n`(Vector(U32Vector),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``854700
oname`1`n`(%)->Symbol`cJetBundleCategory``855246
oname`1`n`(%)->Symbol`cKernelCategory(S)``855316
oname`1`n`(%)->Symbol`dFunctionCalled(f)``855376
oname`1`n`(%)->Symbol`dRuleCalled(f)``855417
oname`1`x`(%)->%`dSymbol``855458
oname`1`x`(%)->Name`cFileCategory(Name,S)``855518
oname`1`x`(%)->String`cFileNameCategory``855588
oname`1`x`(%)->Symbol`dBasicOperator``855650
onamedBranch`2`n`(List(%),List(String))->%`dSceneNamedPoints(PT)``855704
onamedPoints`2`n`(List(PT),List(String))->%`dSceneNamedPoints(PT)``855784
onamedPoints`2`n`(List(Scene(PT)),List(String))->%`dSceneNamedPoints(PT)``855857
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(%,%)->%`cBitAggregate``855929
onand`2`x`(%,%)->%`dBoolean``856026
onary?`1`x`(%)->Boolean`dBasicOperator``856106
onary`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``856170
onary`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``856434
onaryPlus`4`n`(String,String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``856698
onaryPlus`4`n`(String,String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``857327
oncDetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``857956
oncDetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``858120
oncDetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``858282
oncols`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``858477
oncols`1`n`(%)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``858531
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``858608
oncols`1`x`(%)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``858685
onegative?`1`n`(%)->Boolean`cAIntervalCategory(R)`has(R,OrderedAbelianMonoid)`858760
onegative?`1`n`(S)->Boolean`xAIntervalCategory&(S,R)``0
onegative?`1`n`(S)->Boolean`xOrderedAbelianGroup&(S)``0
onegative?`1`x`(%)->Boolean`cOrderedAbelianGroup``858904
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``858979
onelem`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``859077
onew`0`n`()->%`dFormatter(F)``859132
onew`0`n`()->%`dHashState``859365
onew`0`n`()->%`dOperatorHandlers(HANDLER)``859410
onew`0`n`()->%`dPatternMatchListResult(R,S,L)``859470
onew`0`n`()->%`dPatternMatchResult(R,S)``859524
onew`0`n`()->%`dSubSpaceComponentProperty``859578
onew`0`n`()->%`dSubSpace(n,R)``859612
onew`0`n`()->%`dTexFormat``859646
onew`0`x`()->%`dSymbol``859813
onew`1`n`(F)->%`dFreeDivisionAlgebra(VAR,F)``859881
onew`1`x`(%)->%`dSymbol``859930
onew`2`n`(FreeMonoid(VAR),F)->%`dFreeDivisionAlgebra(VAR,F)``860007
onew`2`n`(LinearMultivariateMatrixPencil(F),List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``860084
onew`2`n`(List(C),Integer)->%`dSparseEchelonMatrix(C,D)``860219
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->%`cLinearAggregate(S)``860403
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``860503
onew`3`x`(String,String,String)->%`cFileNameCategory``860597
onewFortranTempVar`0`n`()->Symbol`pFortranCodeTools``860907
onewGreek`0`n`()->Symbol`pMathematicalSymbols``861011
onewline`0`x`()->%`dCharacter``861067
onewLine`0`x`()->String`pDisplayPackage``861123
onewReduc`1`n`(Integer)->Void`pFunctionSpaceReduce(R,F)``861183
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``861300
onewton`1`n`(List(F))->SparseUnivariatePolynomial(F)`pNewtonInterpolation(F)``861407
onewTypeLists`1`n`(%)->SExpression`dSymbolTable``861757
onext`1`x`(%)->%`cDoublyLinkedAggregate(S)``861801
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``861997
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``862322
onextItem`1`n`(A)->Union(A,"failed")`xQuotientFieldCategory&(A,S)``0
onextItem`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xIntegerNumberSystem&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
onextItem`1`x`(%)->Union(%,"failed")`cStepThrough``862664
onextLatticePermutation`3`x`(List(Integer),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``862749
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``863176
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``863503
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``863917
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``864309
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``864701
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``864785
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``865199
onext_sousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``865532
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``865674
onext_subResultant2`4`x`(%,%,%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`865764
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``865976
onilFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``866999
onlde`1`n`(Stream(Stream(A)))->Stream(A)`dStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`867152
onlexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``867435
onode?`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
onode?`2`x`(%,%)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`868026
onode`3`x`(%,S,%)->%`cBinaryTreeCategory(S)``868152
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeFromArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``868274
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeFromNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``868399
onodeOf?`2`n`(SplittingNode(V,C),%)->Boolean`dSplittingTree(V,C)``868519
onodes`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
onodes`1`x`(%)->List(%)`cRecursiveAggregate(S)``868614
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeToArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``868695
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeToNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``868819
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``868938
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``869036
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``869282
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``869383
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``869484
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``869524
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`869649
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(%,%)->%`cBitAggregate``869774
onor`2`x`(%,%)->%`dBoolean``869869
onorm`1`n`(%)->F`dFractionalIdealAsModule(R,F,UP,A,ibasis)``869947
onorm`1`n`(%)->F`dFractionalIdeal(R,F,UP,A)``870010
onorm`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`1`n`(S)->R`xComplexCategory&(S,R)``0
onorm`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
onorm`1`n`(S)->R`xOctonionCategory&(S,R)``0
onorm`1`n`(S)->R`xQuaternionCategory&(S,R)``0
onorm`1`n`(S)->S`xRealNumberSystem&(S)``0
onorm`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``870072
onorm`1`x`(%)->%`cRealNumberSystem``870203
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``870260
onorm`1`x`(%)->R`cComplexCategory(R)``870376
onorm`1`x`(%)->R`cFiniteRankAlgebra(R,UP)``870437
onorm`1`x`(%)->R`cOctonionCategory(R)``870552
onorm`1`x`(%)->R`cQuaternionCategory(R)``870660
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``870756
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``870836
onorm`2`x`(%,Kernel(%))->%`dAlgebraicNumber``870931
onorm`2`x`(%,List(Kernel(%)))->%`dAlgebraicNumber``871066
onorm`2`x`(%,PositiveInteger)->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`871202
onorm`2`x`(SparseUnivariatePolynomial(%),Kernel(%))->SparseUnivariatePolynomial(%)`dAlgebraicNumber``871560
onorm`2`x`(SparseUnivariatePolynomial(%),List(Kernel(%)))->SparseUnivariatePolynomial(%)`dAlgebraicNumber``871689
onormal01`0`n`()->Float`pRandomFloatDistributions``871819
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``871858
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``872021
onormal?`1`x`(%)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`872119
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``872396
onormalALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``872437
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``872513
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``872646
onormalElement`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`872746
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``873173
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,Dpol)`has(Dom,Field)`873283
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``873457
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``873697
onormalisePoint`1`n`(%)->%`dSConformal(n)``873860
onormalize!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``873951
onormalize`1`x`(%)->%`dFloat``874202
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``874271
onormalize`1`x`(List(F))->List(F)`pElementaryFunctionStructurePackage(R,F)``874391
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``874447
onormalize`2`x`(List(F),List(Symbol))->List(F)`pElementaryFunctionStructurePackage(R,F)``874514
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``874849
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(%))->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``874927
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``874999
onormalized?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``875172
onormalized?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``875326
onormalized?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``875447
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``875628
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``875877
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`876076
onormalizeDIAG!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``876275
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``876409
onormalizePLS!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``876516
onormalizeRHS!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``876707
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``876855
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``876896
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``876939
oNot`1`n`(%)->%`dIndexedBits(mn)``877034
onot`1`n`(%)->%`dOutputForm``877109
oNOT`1`n`(%)->%`dSwitch``877165
onot`1`n`(S)->S`xBitAggregate&(S)``0
oNOT`1`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``877253
onot`1`x`(%)->%`cBitAggregate``877341
onot`1`x`(%)->%`dBoolean``877419
onot`1`x`(%)->%`dSingleInteger``877473
oNot`1`x`(%)->%`dSingleInteger``877567
onotelem`1`n`(%)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``877661
onothing`0`n`()->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``877744
onothing`0`n`()->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``877898
onpcoef`3`n`(SparseUnivariatePolynomial(P),List(BP),List(P))->Record(deter:List(SparseUnivariatePolynomial(P)),dterm:List(List(Record(expt:NonNegativeInteger,pcoef:P))),nfacts:List(BP),nlead:List(P))`pNPCoef(BP,E,OV,R,P)``878052
onrows`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``878617
onrows`1`n`(%)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``878668
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``878742
onrows`1`x`(%)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``878816
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:NonNegativeInteger)))`pMultivariateSquareFree(E,OV,R,P)``878888
onthExpon`2`n`(%,Integer)->E`dListMonoidOps(S,E,un)``878926
onthExpon`2`n`(%,Integer)->Integer`dFreeGroup(S)``879010
onthExpon`2`n`(%,Integer)->NonNegativeInteger`dFreeMonoid(S)``879094
onthFactor`2`n`(%,Integer)->S`dFreeGroup(S)``879178
onthFactor`2`n`(%,Integer)->S`dFreeMonoid(S)``879261
onthFactor`2`n`(%,Integer)->S`dListMonoidOps(S,E,un)``879344
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``879427
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``879484
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(%,Integer)->%`cRadicalCategory``879777
onthRoot`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``879846
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``880236
oNu`0`n`()->Symbol`pMathematicalSymbols``880346
onu`0`n`()->Symbol`pMathematicalSymbols``880409
oNul`1`n`(NonNegativeInteger)->%`dExtAlgBasis``880470
onull?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``880566
onullary`1`x`(A)->()->A`pMappingPackage1(A)``880647
onullary?`1`x`(%)->Boolean`dBasicOperator``880731
onullBoundary`0`n`()->%`dSBoundary(PT)``880789
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``880910
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`881043
onullity`1`x`(%)->NonNegativeInteger`cMatrixOperationsCategory(R,Row,Col)`has(R,IntegralDomain)`881176
onullSpace`1`n`(Matrix(R))->%`dVectorSpaceBasis(R)``881309
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,shallowlyMutable)`881534
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,shallowlyMutable)`881620
onullSpace`1`x`(%)->List(Col)`cMatrixOperationsCategory(R,Row,Col)`has(R,IntegralDomain)`881706
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`881872
onullSpaceOverConstants`2`n`(Matrix(F),List((F)->F))->List(Vector(F))`pConstantLinearDependence(R,F)``881958
onumber?`1`x`(%)->Boolean`dExpression(R)`has(R,IntegralDomain)`882100
onumberOfChildren`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``882155
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``882203
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``882295
onumberOfComponents`1`x`(%)->NonNegativeInteger`cThreeSpaceCategory(R)``882387
onumberOfComposites`1`x`(%)->NonNegativeInteger`cThreeSpaceCategory(R)``882572
onumberOfComputedEntries`1`x`(%)->NonNegativeInteger`cLazyStreamAggregate(S)``883018
onumberOfCycles`1`x`(%)->NonNegativeInteger`dPermutation(S)``883197
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``883299
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``883492
onumberOfFactors`1`x`(%)->NonNegativeInteger`dFactored(R)``883757
onumberOfFractionalTerms`1`x`(%)->Integer`dPartialFraction(R)``883833
onumberOfHues`0`x`()->PositiveInteger`dColor``883974
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``884055
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``884503
onumberOfMonomials`1`x`(%)->NonNegativeInteger`cIndexedDirectProductCategory(A,S)``884676
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``884756
onumberOfPrimes`1`n`(OutputForm)->Integer`cFormatterCategory``884902
onumberOfPrimes`1`n`(OutputForm)->Integer`xFormatterCategory&(S)``885255
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``885608
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumDepVar`0`n`()->PositiveInteger`cJetBundleCategory``885760
onumDepVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumDepVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumer`1`n`(%)->A`dLocalAlgebra(A,R)``885827
onumer`1`n`(%)->M`dLocalize(M,R)``885884
onumer`1`n`(%)->Vector(A)`dFractionalIdeal(R,F,UP,A)``885941
onumer`1`x`(%)->S`cQuotientFieldCategory(S)``886017
onumer`1`x`(%)->SparseMultivariatePolynomial(Integer,Kernel(%))`dAlgebraicNumber``886088
onumer`1`x`(%)->SparseMultivariatePolynomial(R,K)`cFunctionSpace2(R,K)`has(R,Ring)`886198
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(%)->%`cJetBundleFunctionCategory(JB)``886435
onumerator`1`n`(S)->S`xFunctionSpace2&(S,R,K)``0
onumerator`1`x`(%)->%`cFunctionSpace2(R,K)`has(R,Ring)`886496
onumerator`1`x`(%)->%`cQuotientFieldCategory(S)``886574
onumerators`1`x`(%)->Stream(R)`dContinuedFraction(R)``886660
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`886846
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`886913
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`886980
onumeric`1`x`(S)->Float`pNumeric(S)``887047
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`887114
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`887214
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`887314
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``887414
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`887514
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`887629
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`887744
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`887859
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`888007
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`888155
onumerJP`1`n`(%)->SparseMultivariatePolynomial(Expression(Integer),JB)`dJetBundleExpression(JB)``888303
onumFunEvals`0`n`()->Integer`dPlot``888374
onumFunEvals3D`0`n`()->Integer`dPlot3D``888440
onumIndVar`0`n`()->PositiveInteger`cJetBundleCategory``888509
onumIndVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumIndVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
oobj`1`x`(%)->None`dAny``888578
oobjectOf`1`x`(%)->OutputForm`dAny``888730
oobjects`1`x`(%)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``888842
oobjectToIndex`2`n`(A,S)->NonNegativeInteger`xPoset&(A,S)``0
oobjectToIndex`2`n`(%,S)->NonNegativeInteger`cPoset(S)``889065
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``889130
oocton`2`x`(Quaternion(R),Quaternion(R))->%`dOctonion(R)``889469
oocton`8`x`(R,R,R,R,R,R,R,R)->%`cOctonionCategory(R)``889578
oodd?`1`n`(S)->Boolean`xExpressionSpace2&(S,K)``0
oodd?`1`x`(%)->Boolean`cExpressionSpace2(K)`has(%,RetractableTo(Integer))`889674
oodd?`1`x`(%)->Boolean`cIntegerNumberSystem``889741
oodd?`1`x`(%)->Boolean`dPermutation(S)``889815
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``889948
ooddintegers`1`n`(Integer)->Stream(Integer)`cStreamTaylorSeriesOperationsCategory(R,M)``890093
ooddlambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
ooddlambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``890157
ooddlambert`1`n`(Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)``890530
oodd_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``890854
oodd_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``890962
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``891187
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``891275
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``891396
oOMbindTCP`2`x`(%,SingleInteger)->Boolean`dOpenMathConnection``891544
oOMclose`1`x`(%)->Void`dOpenMathDevice``891568
oOMcloseConn`1`x`(%)->Void`dOpenMathConnection``891644
oOMconnectTCP`3`x`(%,String,SingleInteger)->Boolean`dOpenMathConnection``891670
oOMconnInDevice`1`x`(%)->OpenMathDevice`dOpenMathConnection``891697
oOMconnOutDevice`1`x`(%)->OpenMathDevice`dOpenMathConnection``891729
oomega`0`n`()->%`dSmallOrdinal``891762
oOmega`0`n`()->Symbol`pMathematicalSymbols``891814
oomega`0`n`()->Symbol`pMathematicalSymbols``891883
oomegapower`1`n`(%)->%`dSmallOrdinal``891950
oOMencodingBinary`0`x`()->%`dOpenMathEncoding``891994
oOMencodingSGML`0`x`()->%`dOpenMathEncoding``892077
oOMencodingUnknown`0`x`()->%`dOpenMathEncoding``892167
oOMencodingXML`0`x`()->%`dOpenMathEncoding``892361
oomError`2`x`(OpenMathErrorKind,List(Symbol))->%`dOpenMathError``892445
oOMgetApp`1`x`(%)->Void`dOpenMathDevice``892511
oOMgetAtp`1`x`(%)->Void`dOpenMathDevice``892588
oOMgetAttr`1`x`(%)->Void`dOpenMathDevice``892668
oOMgetBind`1`x`(%)->Void`dOpenMathDevice``892744
oOMgetBVar`1`x`(%)->Void`dOpenMathDevice``892817
oOMgetEndApp`1`x`(%)->Void`dOpenMathDevice``892903
oOMgetEndAtp`1`x`(%)->Void`dOpenMathDevice``892982
oOMgetEndAttr`1`x`(%)->Void`dOpenMathDevice``893064
oOMgetEndBind`1`x`(%)->Void`dOpenMathDevice``893142
oOMgetEndBVar`1`x`(%)->Void`dOpenMathDevice``893217
oOMgetEndError`1`x`(%)->Void`dOpenMathDevice``893305
oOMgetEndObject`1`x`(%)->Void`dOpenMathDevice``893380
oOMgetError`1`x`(%)->Void`dOpenMathDevice``893457
oOMgetFloat`1`x`(%)->DoubleFloat`dOpenMathDevice``893530
oOMgetInteger`1`x`(%)->Integer`dOpenMathDevice``893591
oOMgetObject`1`x`(%)->Void`dOpenMathDevice``893657
oOMgetString`1`x`(%)->String`dOpenMathDevice``893732
oOMgetSymbol`1`x`(%)->Record(cd:String,name:String)`dOpenMathDevice``893795
oOMgetType`1`x`(%)->Symbol`dOpenMathDevice``893858
oOMgetVariable`1`x`(%)->Symbol`dOpenMathDevice``893938
oOmicron`0`n`()->Symbol`pMathematicalSymbols``894005
oomicron`0`n`()->Symbol`pMathematicalSymbols``894078
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``894149
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``894221
oOMmakeConn`1`x`(SingleInteger)->%`dOpenMathConnection``894289
oOMopenFile`3`x`(String,String,OpenMathEncoding)->%`dOpenMathDevice``894314
oOMopenString`2`x`(String,OpenMathEncoding)->%`dOpenMathDevice``894552
oOMParseError?`1`x`(%)->Boolean`dOpenMathErrorKind``894678
oOMputApp`1`x`(%)->Void`dOpenMathDevice``894762
oOMputAtp`1`x`(%)->Void`dOpenMathDevice``894838
oOMputAttr`1`x`(%)->Void`dOpenMathDevice``894917
oOMputBind`1`x`(%)->Void`dOpenMathDevice``894992
oOMputBVar`1`x`(%)->Void`dOpenMathDevice``895064
oOMputEndApp`1`x`(%)->Void`dOpenMathDevice``895149
oOMputEndAtp`1`x`(%)->Void`dOpenMathDevice``895227
oOMputEndAttr`1`x`(%)->Void`dOpenMathDevice``895308
oOMputEndBind`1`x`(%)->Void`dOpenMathDevice``895385
oOMputEndBVar`1`x`(%)->Void`dOpenMathDevice``895459
oOMputEndError`1`x`(%)->Void`dOpenMathDevice``895546
oOMputEndObject`1`x`(%)->Void`dOpenMathDevice``895620
oOMputError`1`x`(%)->Void`dOpenMathDevice``895696
oOMputFloat`2`x`(%,DoubleFloat)->Void`dOpenMathDevice``895768
oOMputInteger`2`x`(%,Integer)->Void`dOpenMathDevice``895842
oOMputObject`1`x`(%)->Void`dOpenMathDevice``895920
oOMputString`2`x`(%,String)->Void`dOpenMathDevice``895994
oOMputSymbol`3`x`(%,String,String)->Void`dOpenMathDevice``896070
oOMputVariable`2`x`(%,Symbol)->Void`dOpenMathDevice``896175
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``896255
oOMReadError?`1`x`(%)->Boolean`dOpenMathErrorKind``896347
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``896427
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``896519
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``896610
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``896730
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``896810
oOMsetEncoding`2`x`(%,OpenMathEncoding)->Void`dOpenMathDevice``896988
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``897126
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``897232
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``897376
oOMUnknownCD?`1`x`(%)->Boolean`dOpenMathErrorKind``897541
oOMUnknownSymbol?`1`x`(%)->Boolean`dOpenMathErrorKind``897634
oOMwrite`1`n`(S)->String`xOpenMath&(S)``0
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`1`x`(%)->String`cOpenMath``897728
oOMwrite`2`n`(OpenMathDevice,S)->Void`xOpenMath&(S)``0
oOMwrite`2`n`(S,Boolean)->String`xOpenMath&(S)``0
oOMwrite`2`x`(%,Boolean)->String`cOpenMath``897837
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,%)->Void`cOpenMath``898062
oOMwrite`3`n`(OpenMathDevice,S,Boolean)->Void`xOpenMath&(S)``0
oOMwrite`3`x`(OpenMathDevice,%,Boolean)->Void`cOpenMath``898194
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oone?`1`n`(%)->Boolean`cJetBundleCategory``898419
oone`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``898511
oone?`1`n`(S)->Boolean`xAIntervalCategory&(S,R)``0
oone?`1`n`(S)->Boolean`xJetBundleCategory&(S)``0
oone?`1`n`(S)->Boolean`xMagmaWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`x`(%)->Boolean`cMagmaWithUnit``898599
oone`1`x`(Boolean)->%`dGuessOption``898659
oone?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``898784
ooneDimensionalArray`1`x`(List(S))->%`dOneDimensionalArray(S)``898888
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->%`dOneDimensionalArray(S)``898975
ooneSkeleton`1`n`(%)->DirectedGraph(NonNegativeInteger)`dFiniteSimplicialComplex(VS)``899073
ooneSkeleton`1`n`(%)->UndirectedGraph(NonNegativeInteger)`dDeltaComplex(VS)``899111
oopen?`1`n`(%)->Boolean`dTubePlot(Curve)``899149
oopen`1`x`(Name)->%`cFileCategory(Name,S)``899224
oopen`2`n`(FileName,String)->%`dBasicFile``899288
oopen`2`n`(FileName,String)->%`dBasicKeyedAccessFile``899323
oopen`2`x`(Name,String)->%`cFileCategory(Name,S)``899371
ooperation`1`n`(%)->Union(Null:"null",Assignment:"assignment",Conditional:"conditional",Return:"return",Block:"block",Comment:"comment",Call:"call",For:"for",While:"while",Repeat:"repeat",Goto:"goto",Continue:"continue",ArrayAssignment:"arrayAssignment",Save:"save",Stop:"stop",Common:"common",Print:"print")`dFortranCode``899486
ooperations`2`n`(SExpression,Boolean)->List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))`pBrowserInformation``899572
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``899653
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``899881
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``900051
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``900141
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``900314
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace2&(S,K)``900393
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace2&(S,R,K)``0
ooperator`1`n`(%)->BasicOperator`cKernelCategory(S)``900505
ooperator`1`n`(OutputForm)->OutputForm`pOutputFormTools``900570
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``900684
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace2(K)``900858
ooperator`1`x`(Symbol)->%`dBasicOperator``900970
ooperator`2`x`(Symbol,NonNegativeInteger)->%`dBasicOperator``901050
ooperatorHandlers`0`n`()->OperatorHandlers((Integer,List(OutputForm))->OutputBox)`cFormatterCategory``901125
ooperatorHandlers`0`n`()->OperatorHandlers((Integer,List(OutputForm))->OutputBox)`dFormatter(F)``901248
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace2&(S,K)``0
ooperators`1`x`(%)->List(BasicOperator)`cExpressionSpace2(K)``901371
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``901486
oopposite`1`n`(A)->A`xPoset&(A,S)``0
oopposite`1`n`(%)->%`cPoset(S)``901539
oopposite?`2`n`(S,S)->Boolean`xAbelianGroup&(S)``0
oopposite?`2`n`(S,S)->Boolean`xAbelianMonoid&(S)``0
oopposite?`2`n`(S,S)->Boolean`xAIntervalCategory&(S,R)``0
oopposite?`2`x`(%,%)->Boolean`cAbelianMonoid``901647
oops_from_exports`0`n`()->List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))`pBrowserInformation``901731
oops_from_libdb`0`n`()->List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))`pBrowserInformation``901837
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``902021
ooption?`2`x`(List(%),Symbol)->Boolean`dDrawOption``902200
ooption`2`x`(List(%),Symbol)->Union(Any,"failed")`dDrawOption``902399
ooption`2`x`(List(%),Symbol)->Union(Any,"failed")`dGuessOption``902542
ooptional?`1`n`(%)->Boolean`dPattern(R)``902607
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``902711
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``902883
ooptions`1`n`(%)->List(DrawOption)`dTwoDimensionalViewport``903019
ooptions`1`x`(%)->List(DrawOption)`dThreeDimensionalViewport``903243
ooptions`2`n`(%,List(DrawOption))->%`dTwoDimensionalViewport``903468
ooptions`2`x`(%,List(DrawOption))->%`dThreeDimensionalViewport``903755
ooptpair`1`n`(List(%))->Union(List(%),"failed")`dPattern(R)``904031
oopType`1`n`(%)->Symbol`dILogic``904143
oopType`1`n`(%)->Symbol`dLatticeJoinOfMeets``904329
oopType`1`n`(%)->Symbol`dLatticeMeetOfJoins``904515
oOr`2`n`(%,%)->%`dIndexedBits(mn)``904701
oor`2`n`(%,%)->%`dOutputForm``904790
oOR`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``904846
oor`2`x`(%,%)->%`cBitAggregate``904938
oor`2`x`(%,%)->%`dBoolean``905029
oOr`2`x`(%,%)->%`dSingleInteger``905123
oorbit`2`x`(%,List(S))->Set(List(S))`dPermutationGroup(S)``905232
oorbit`2`x`(%,Set(S))->Set(Set(S))`dPermutationGroup(S)``905438
oorbit`2`x`(%,S)->Set(S)`cPermutationCategory(S)``905542
oorbit`2`x`(%,S)->Set(S)`dPermutationGroup(S)``905727
oorbits`1`x`(%)->Set(Set(S))`dPermutationGroup(S)``905914
oord`1`x`(%)->Integer`dCharacter``906047
oorder`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``906188
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pFindOrderFinite(F,UP,UPUP,R)``906225
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``906262
oorder`1`n`(%)->Integer`cFiniteGroup``906377
oorder`1`n`(%)->Integer`dLaurentPolynomial(R,UP)``906448
oorder`1`n`(%)->NonNegativeInteger`cFacetCategory``906485
oorder`1`n`(%)->NonNegativeInteger`cJetBundleCategory``906511
oorder`1`n`(%)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``906605
oorder`1`n`(%)->NonNegativeInteger`dInnerTaylorSeries(Coef)``906704
oorder`1`n`(%)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``906858
oorder`1`n`(S)->Integer`xFiniteGroup&(S)``0
oorder`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oorder`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`x`(%)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``906939
oorder`1`x`(%)->Integer`cFloatingPointSystem``907095
oorder`1`x`(%)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``907215
oorder`1`x`(%)->NonNegativeInteger`cDifferentialVariableCategory(S)``907417
oorder`1`x`(%)->NonNegativeInteger`cPAdicIntegerCategory(p)``907534
oorder`1`x`(%)->NonNegativeInteger`dPermutationGroup(S)``907630
oorder`1`x`(%)->NonNegativeInteger`dPermutation(S)``907695
oorder`1`x`(%)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``907782
oorder`1`x`(%)->PositiveInteger`cFiniteFieldCategory``907905
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``908041
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`x`(%,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``908126
oorder`2`x`(%,%)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`908241
oorder`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``908406
oorder`2`x`(%,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``908530
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``908683
oorder`3`x`(%,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``908726
oorderDim`3`n`(List(%),SparseEchelonMatrix(JB,%),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``908791
oorderDim`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oordinalAdd`2`n`(%,%)->%`dSmallOrdinal``909006
oordinalMul`2`n`(%,%)->%`dSmallOrdinal``909094
oordinalPower`2`n`(%,%)->%`dSmallOrdinal``909186
oorientedFacet`2`n`(Integer,List(NonNegativeInteger))->%`dOrientedFacet``909348
oorientedFacet`2`n`(Integer,OrientedFacet)->%`dOrientedFacet``909527
oorientedFacetIfCan`1`n`(List(%))->Union(%,"failed")`dOrientedFacet``909572
oorientedFacetSigned`1`n`(List(Integer))->%`dOrientedFacet``909847
oorientedFacetUnsigned`1`n`(List(Integer))->%`dOrientedFacet``909980
oorthogonalConvolution`2`n`(%,%)->%`cDistributionCategory(R)``910066
oorthogonalPolynomials`1`n`(%)->Stream(SparseUnivariatePolynomial(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`910186
oorthogonalPolynomials`1`n`(%)->Stream(SparseUnivariatePolynomial(R))`cDistributionCategory(R)`has(R,Field)`910271
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``910356
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ooutDegree`2`n`(%,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``910521
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(%,%)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`910622
ooutlineRender`2`x`(%,String)->Void`dThreeDimensionalViewport``910764
ooutput`1`x`(OutputForm)->Void`pOutputPackage``911157
ooutput`1`x`(String)->Void`pOutputPackage``911301
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``911440
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``911612
ooutputAsFortran`1`n`(%)->Void`cFortranProgramCategory``911710
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``911796
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``911964
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``912038
ooutputAsMathML`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``912186
ooutputAsMathML`1`x`(OutputForm)->Void`pSpecialOutputPackage``912354
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``912488
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``912647
ooutputFixed`0`x`()->Void`dFloat``912769
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``912884
ooutputFloating`0`x`()->Void`dFloat``913015
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``913196
ooutputForm`1`n`(Integer)->%`dOutputForm``913351
ooutputForm`1`n`(String)->%`dOutputForm``913410
ooutputForm`1`n`(Symbol)->%`dOutputForm``913467
ooutputForm`2`n`(%,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``913524
ooutputForm`2`n`(%,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``913707
ooutputForm`4`n`(%,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``913827
ooutputGeneral`0`x`()->Void`dFloat``914387
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``914578
ooutputList`1`x`(List(Any))->Void`pOutputPackage``914694
ooutputSpacing`1`x`(NonNegativeInteger)->NonNegativeInteger`dFloat``914900
ooutputVRML`2`n`(%,TextFile)->Void`dXmlAttribute``915072
ooutputVRML`2`n`(%,TextFile)->Void`dXmlElement``915348
oover`2`n`(%,%)->%`dOutputForm``915622
ooverbar`1`n`(%)->%`dOutputForm``915715
ooverbar`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``915783
ooverlabel`2`n`(%,%)->%`dOutputForm``916004
ooverlap`2`n`(%,%)->Record(lm:%,mm:%,rm:%)`dFreeMonoid(S)``916097
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``916290
oP`1`n`(List(NonNegativeInteger))->%`cJetBundleCategory``916431
oP`1`n`(List(NonNegativeInteger))->%`cJetBundleFunctionCategory(JB)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->%`cJetBundleCategory``916541
oP`1`n`(NonNegativeInteger)->%`cJetBundleFunctionCategory(JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`cJetBundleCategory``916677
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->%`cJetBundleCategory``916906
oP`2`n`(PositiveInteger,NonNegativeInteger)->%`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
opack!`1`x`(%)->%`dKeyedAccessFile(Entry)``917061
opack!`1`x`(%)->%`dLibrary``917147
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``917233
opackageCall`2`n`(Symbol,List(InputForm))->InputForm`pInputFormFunctions1(R)``917322
opack_exps0`4`n`(SortedExponentVector,List(Integer),Integer,Integer)->Void`dModularAlgebraicGcdTools3``917443
opack_exps`3`n`(Integer,Integer,MD)->SortedExponentVector`cModularAlgebraicGcdOperations(MP,MPT,MD)``917514
opack_modulus`3`n`(List(MP),List(Symbol),Integer)->Union(MD,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``917683
opad`4`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->(%)->%`dOutputBox``917840
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``918219
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``918441
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``918741
opade_cf2`3`n`(Stream(F),Stream(F),UnivariatePolynomial(xs,F))->ContinuedFraction(UnivariatePolynomial(xs,F))`pPadeContinuousFraction(F,xs)``919041
opade_cf`2`n`(Stream(F),UnivariatePolynomial(xs,F))->ContinuedFraction(UnivariatePolynomial(xs,F))`pPadeContinuousFraction(F,xs)``919284
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``919430
opade_stream2`3`n`(Stream(F),Stream(F),UnivariatePolynomial(xs,F))->Stream(UnivariatePolynomial(xs,F))`pPadeContinuousFraction(F,xs)``919742
opade_stream`2`n`(Stream(F),UnivariatePolynomial(xs,F))->Stream(UnivariatePolynomial(xs,F))`pPadeContinuousFraction(F,xs)``920015
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``920191
opadicFraction`1`x`(%)->%`dPartialFraction(R)``920334
opair?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``920597
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``920676
opalgint0`7`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``920849
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``921215
opalgintegrate`3`n`(R,F,(UP)->UP)->Record(result1:IntegrationResult(R),result2:F)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``921340
opalgLODE0`6`n`(L,F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`921491
opalgLODE0`8`n`(L,F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`921671
opalgLODE`5`n`(L,F,Kernel(F),Kernel(F),Symbol)->Record(particular:Union(F,"failed"),basis:List(F))`pPureAlgebraicIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`921974
opalgRDE0`7`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),F,SparseUnivariatePolynomial(F))->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``922102
opalgRDE0`9`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``922548
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``923114
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``923505
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``923709
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``923949
oparallel`2`n`(%,%)->DoubleFloat`cSPointCategory``924200
oparametersOf`1`n`(%)->List(Symbol)`dSymbolTable``924406
oparametric?`1`n`(%)->Boolean`dPlot``924495
oparam_LODE`4`n`(List(F),List(F),Kernel(F),Kernel(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F))`pPureAlgebraicIntegration(R,F,L)``924565
oparam_rde2`6`n`(F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricRischDE(R,F)``924604
oparam_RDE`4`n`(F,List(F),Kernel(F),Kernel(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F))`pPureAlgebraicIntegration(R,F,L)``924853
oparam_rde`7`n`(Integer,F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricRischDE(R,F)``924891
oparam_rde`8`n`(Integer,F,F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricRischDE(R,F)``925146
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``925459
oParCondList`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR)))`pParametricLinearEquations(R,Var,Expon,GR)``925571
oparen`1`n`(%)->%`dOutputForm``925750
oparen`1`n`(List(%))->%`dOutputForm``925825
oparen`1`n`(S)->S`xExpressionSpace2&(S,K)``0
oparen`1`x`(%)->%`cExpressionSpace2(K)``925953
oparent`1`n`(%)->%`dSubSpace(n,R)``926172
oparenthesize`3`n`(String,String,OutputBox)->OutputBox`cFormatterCategory``926355
oparenthesizeIf`2`n`(Boolean,OutputBox)->OutputBox`cFormatterCategory``926486
oparenthesizeIf`2`n`(Boolean,OutputBox)->OutputBox`xFormatterCategory&(S)``926635
oparents`1`n`(SExpression)->List(Record(form:SExpression,condition:SExpression))`pBrowserInformation``926784
oparse`1`n`(String)->%`dInputForm``926868
oparse`1`n`(String)->TeXTree`pTexParser``926950
oparse`1`n`(TextFile)->TeXTree`pTexParser``927023
oparseIL`1`n`(String)->%`dILogic``927096
oparseIL2`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dILogic``927308
oparseILTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dILogic``927559
oparse_integer`1`n`(String)->Integer`pScanningUtilities``927708
oparseLambda`1`n`(String)->%`dLambda(UT)``927787
oparseSki`1`n`(String)->%`dSKICombinators(UT)``928356
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dLambda(UT)``928400
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dSKICombinators(UT)``928557
oparseVar`1`n`(String)->%`cVarCat``928708
oparseVarTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`cVarCat``928756
opartial`0`n`()->Symbol`pMathematicalSymbols``928885
opartialDenominators`1`x`(%)->Stream(R)`dContinuedFraction(R)``928948
opartialFraction`1`x`(Fraction(R))->%`dPartialFraction(R)`has(R,UniqueFactorizationDomain)`929164
opartialFraction`2`x`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``929306
opartialFraction`2`x`(R,Factored(R))->%`dPartialFraction(R)``929457
opartialFraction`3`x`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``929621
opartialNumerators`1`x`(%)->Stream(R)`dContinuedFraction(R)``929853
opartialQuotients`1`x`(%)->Stream(R)`dContinuedFraction(R)``930063
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F,RR)``930282
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`930332
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`930534
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`930714
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`930916
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``931096
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``931199
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``931302
oparticularSolutionOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``931632
oparticularSolutionOverConstants`3`n`(Vector(F),F,List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``931829
oparticularSolutionOverQ`2`x`(Matrix(R),Vector(R))->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``932032
oparticularSolutionOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``932217
opartition`1`n`(List(Integer))->%`dPartition``932407
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``932495
opartitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``932676
opartitions`2`x`(Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``932749
opartitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``932922
oparts`1`n`(A)->List(S)`xOneDimensionalArrayAggregate&(A,S)``0
oparts`1`n`(A)->List(S)`xRecursiveAggregate&(A,S)``0
oparts`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oparts`1`n`(S)->List(Record(key:Key,entry:Entry))`xTableAggregate&(S,Key,Entry)``0
oparts`1`n`(S)->List(R)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oparts`1`x`(%)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``933126
oparts`1`x`(%)->List(S)`cHomogeneousAggregate(S)`has(%,finiteAggregate)`933211
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``933346
opastel`1`x`(Color)->%`dPalette``933495
opa_to_sup`1`n`(PrimitiveArray(K))->SparseUnivariatePolynomial(K)`pVectorPolynomialOperationsF(K)``933585
opa_to_sup`1`n`(PrimitiveArray(PrimeField(p)))->SparseUnivariatePolynomial(Integer)`pVectorPolynomialOperationsP(p)``933660
opa_to_sup`1`n`(U32Vector)->SparseUnivariatePolynomial(Integer)`pU32VectorPolynomialOperations``933735
opattern`1`x`(%)->Pattern(Base)`dRewriteRule(Base,R,F)``933810
opatternMatch`3`n`(A,Pattern(Float),PatternMatchResult(Float,A))->PatternMatchResult(Float,A)`xQuotientFieldCategory&(A,S)``0
opatternMatch`3`n`(A,Pattern(Integer),PatternMatchResult(Integer,A))->PatternMatchResult(Integer,A)`xQuotientFieldCategory&(A,S)``0
opatternMatch`3`n`(A,Pattern(S),PatternMatchResult(S,B))->PatternMatchResult(S,B)`pPatternMatchPushDown(S,A,B)``933913
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`934227
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``934428
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``934619
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``934801
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``934997
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`935176
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``935361
opatternMatch`3`n`(S,Pattern(Float),PatternMatchResult(Float,S))->PatternMatchResult(Float,S)`xComplexCategory&(S,R)``0
opatternMatch`3`n`(S,Pattern(Float),PatternMatchResult(Float,S))->PatternMatchResult(Float,S)`xPolynomialCategory&(S,R,E,VarSet)``0
opatternMatch`3`n`(S,Pattern(Float),PatternMatchResult(Float,S))->PatternMatchResult(Float,S)`xRealNumberSystem&(S)``0
opatternMatch`3`n`(S,Pattern(Integer),PatternMatchResult(Integer,S))->PatternMatchResult(Integer,S)`xComplexCategory&(S,R)``0
opatternMatch`3`n`(S,Pattern(Integer),PatternMatchResult(Integer,S))->PatternMatchResult(Integer,S)`xIntegerNumberSystem&(S)``0
opatternMatch`3`n`(S,Pattern(Integer),PatternMatchResult(Integer,S))->PatternMatchResult(Integer,S)`xPolynomialCategory&(S,R,E,VarSet)``0
opatternMatch`3`n`(Symbol,Pattern(S),PatternMatchResult(S,Symbol))->PatternMatchResult(S,Symbol)`pPatternMatchSymbol(S)``935548
opatternMatch`3`x`(%,Pattern(S),PatternMatchResult(S,%))->PatternMatchResult(S,%)`cPatternMatchable(S)``935765
opatternMatch`4`n`(P,Pattern(S),PatternMatchResult(S,P),(V,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)``936068
opatternMatch`5`n`(List(P),List(Pattern(S)),(List(P))->P,PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``936325
opatternMatchTimes`4`n`(List(P),List(Pattern(S)),PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``936690
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->%`dPattern(R)``936947
opdct`1`n`(%)->Integer`dPartition``937132
opencil`1`n`(%)->LinearMultivariateMatrixPencil(F)`dFreeDivisionAlgebra(VAR,F)``937281
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``937349
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``937468
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``937630
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``937771
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``937899
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``938010
operm_to_vec`3`x`(List(S),Permutation(S),NonNegativeInteger)->Vector(NonNegativeInteger)`dPermutationGroup(S)``939238
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``939313
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(%,%)->%`cCombinatorialFunctionCategory``939476
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``939633
opermutationGroup`1`x`(List(Permutation(S)))->%`dPermutationGroup(S)``939780
opermutationRepresentation`1`n`(G)->Permutation(Integer)`pFiniteGroupPackage(G)``939892
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``940004
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``940214
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``940458
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``940679
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``940858
operpendicular`2`n`(%,%)->%`cSPointCategory``940968
operspective`2`x`(%,String)->Void`dThreeDimensionalViewport``941175
oPfaffian`1`n`(S)->R`xMatrixCategory&(S,R,Row,Col)``0
oPfaffian`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`941422
oPfaffian`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`941536
oPhi`0`n`()->Symbol`pMathematicalSymbols``941650
ophi`0`n`()->Symbol`pMathematicalSymbols``941715
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``941778
ophysicalLength`1`n`(%)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``942030
ophysicalLength`1`x`(%)->NonNegativeInteger`dFlexibleArray(S)``0
ophysicalLength!`2`n`(%,Integer)->%`dIndexedFlexibleArray(S,mn)``942133
ophysicalLength!`2`x`(%,Integer)->%`dFlexibleArray(S)``0
opi`0`n`()->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``942251
opi`0`n`()->F`pElementaryFunction(R,F)``942392
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
oPi`0`n`()->Symbol`pMathematicalSymbols``942449
opi`0`n`()->Symbol`pMathematicalSymbols``942526
opi`0`x`()->%`cTranscendentalFunctionCategory``942601
opi`0`x`()->%`dPiDomain``942659
opile`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``942719
opile`1`n`(List(%))->%`dOutputForm``942953
opivot`2`n`(%,Integer)->Record(Index:C,Entry:D)`dSparseEchelonMatrix(C,D)``943151
opivots`1`n`(%)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``943281
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(%,PositiveInteger)->%`cNonAssociativeAlgebra(R)``943385
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``943540
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``943921
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``944375
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->%`dPlot``944465
oplot`2`n`(%,Segment(DoubleFloat))->%`dPlot3D``944594
oplot`2`n`(%,Segment(DoubleFloat))->%`dPlot``944633
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``944672
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``944815
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``944968
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``945160
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``945242
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot3D``945364
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``945535
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``945784
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->%`dPlot``945845
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``946068
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``946285
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``946396
oplus`2`n`(%,%)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`946514
oplus`2`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer))->Record(mantissa:Integer,exponent:Integer)`pFloatingPointOperations``946611
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``946676
oplus`3`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``946864
oplusInfinity`0`x`()->%`dOrderedCompletion(R)``946967
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``947015
oPm`2`n`(PositiveInteger,List(NonNegativeInteger))->%`cJetBundleCategory``947066
opmintegrate`4`n`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F))->Union(F,"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,SpecialFunctionCategory))`947156
oPnan?`1`n`(%)->Boolean`cSPointCategory``947311
opoint?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``947803
opoint`1`x`(List(R))->%`cPointCategory(R)``947963
opoint`1`x`(Point(R))->%`cThreeSpaceCategory(R)``948076
opoint`1`x`(%)->Point(R)`cThreeSpaceCategory(R)``948194
opoint`2`x`(%,List(R))->%`cThreeSpaceCategory(R)``948368
opoint`2`x`(%,NonNegativeInteger)->%`cThreeSpaceCategory(R)``948617
opoint`2`x`(%,Point(R))->%`cThreeSpaceCategory(R)``948776
opoint`3`n`(%,Point(DoubleFloat),Palette)->Void`dGraphImage``949009
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``949359
opointColor`1`x`(Float)->%`dDrawOption``949591
opointColor`1`x`(Palette)->%`dDrawOption``949730
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``949901
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``949989
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``950099
opointData`1`n`(%)->List(Point(R))`dSubSpace(n,R)``950320
opointList`1`n`(%)->List(PT)`dSceneIFS(PT)``950440
opointList`1`x`(%)->List(S)`dPermutationGroup(S)``950509
opointLists`1`n`(%)->List(List(Point(DoubleFloat)))`dGraphImage``950569
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``950727
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->%`dPlot``950903
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``951065
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``951333
opoints`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``951386
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``951644
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``951734
opoisson`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``951834
opoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``951873
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``951964
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``952073
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(%)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`952283
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``952396
opole?`1`n`(%)->Boolean`dInnerTaylorSeries(Coef)``952852
opole?`1`x`(%)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``952991
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``953066
opoly_factor`1`n`(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))->Factored(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))`pExpressionFactorPolynomial(R,F)``953161
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``953223
opolygamma`2`x`(%,%)->%`cSpecialFunctionCategory``953318
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
opolygon?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``953452
opolygon`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``953600
opolygon`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``953785
opolygon`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``954006
opolygon`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``954363
opoly_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``954529
opolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``954587
opolylog`2`x`(%,%)->%`cSpecialFunctionCategory``954667
opolylog_int`6`n`(F,Symbol,Kernel(F),NonNegativeInteger,List(Kernel(F)),F)->Union(Record(ratpart:F,coeff:F,prim:F),"failed")`pParametricIntegration(R,F)``954747
opolynomial?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``954801
opolynomial`1`n`(%)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``954861
opolynomial`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``954930
opolynomial`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``955052
opolynomial`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``955174
opolynomial`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``955324
opolyPart`1`x`(%)->UP`dFullPartialFractionExpansion(F,UP)``955474
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``955541
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``955580
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``955974
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(%,R,E,%)->%`cFiniteAbelianMonoidRing(R,E)``956363
opop!`1`x`(%)->S`cStackAggregate(S)``956523
opopFortranOutputStack`0`n`()->Void`pFortranOutputStackPackage``956733
oposetL7`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``956801
oposetM5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``956864
oposetN5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``956927
oposetO6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``956990
oposetP6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``957053
oposition`1`x`(%)->NonNegativeInteger`cCachableSet``957116
oposition`2`n`(%,List(%))->Integer`dCubicalFacet``957195
oposition`2`n`(%,List(%))->Integer`dOrientedFacet``957302
oposition`2`n`(S,A)->Integer`xLinearAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xLinearAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`x`((S)->Boolean,%)->Integer`cLinearAggregate(S)`has(%,finiteAggregate)`957409
oposition`2`x`(S,%)->Integer`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`957594
oposition`3`n`(S,A,Integer)->Integer`xLinearAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xListAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`3`x`(CharacterClass,%,Integer)->Integer`cStringAggregate``957749
oposition`3`x`(%,%,Integer)->Integer`cStringAggregate``957968
oposition`3`x`(S,%,Integer)->Integer`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`958166
opositive?`1`n`(%)->Boolean`cAIntervalCategory(R)`has(R,OrderedAbelianMonoid)`958351
opositive?`1`n`(S)->Boolean`xAIntervalCategory&(S,R)``0
opositive?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
opositive?`1`n`(S)->Boolean`xOrderedAbelianGroup&(S)``0
opositive?`1`x`(%)->Boolean`cOrderedAbelianGroup``958488
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``958566
opositivePower`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
opositivePower`2`x`(%,Integer)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`958664
opositiveRemainder`2`x`(%,%)->%`cIntegerNumberSystem``958793
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``958916
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``959008
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``959134
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``959226
opossibleOrder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``960047
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(%)->Boolean`cStreamAggregate(S)``960158
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``960356
opostfix`2`n`(%,%)->%`dOutputForm``960521
opow`0`n`()->PrimitiveArray(%)`dModMonic(R,Rep)``960595
opow`4`n`(U32Vector,PositiveInteger,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``960832
opower`2`n`(A,Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)`has(A,Field)`960971
opower`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``961061
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``961294
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``961565
opower_matrix`3`n`(PA,NonNegativeInteger,PMD)->Record(matr:MMT,poly:PA)`cModularFactorizationOperations(PA,MMT,MD,PMD)``961671
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`962026
opowers`1`n`(List(Integer))->List(List(Integer))`dPartition``962105
opowerset`1`n`(List(S))->FiniteBiCPO(List(S))`pPosetFactory(S)``962397
opowerSum`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``962503
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(%,%,%)->%`cIntegerNumberSystem``962591
opowToUPS`2`n`(List(FE),Record(pos_Check?:Boolean,atan_Flag:Union("complex","real: two sides","real: left side","real: right side","just do it"),coeff_check?:Union((FE)->Boolean,"none"),inv_check?:Union((FE)->Boolean,"none"),zero_check?:Union((FE)->Boolean,"none"),log_x_replace:Boolean,log_x_val:FE,cache:List(Record(ker:Kernel(FE),ser:Union(%series:UPS,%problem:Record(func:String,prob:String))))))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``962666
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``962721
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``962872
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``963005
oPr`2`n`(PositiveInteger,List(PositiveInteger))->%`cJetBundleCategory``963064
oPr`2`n`(PositiveInteger,List(PositiveInteger))->S`xJetBundleCategory&(S)``0
oprecedence`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``963157
oprecedence`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``963359
oprecision`0`n`()->PositiveInteger`dMachineFloat``963561
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``963629
oprecision`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``963693
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`963771
oprecondition`1`n`(OutputForm)->OutputForm`pOutputFormTools``963856
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``963916
opredicates`1`n`(%)->List(Any)`dPattern(R)``964067
oprefix`2`n`(%,List(%))->%`dOutputForm``964205
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(%,%)->Boolean`cStringAggregate``964353
oprefix`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``964522
oprefix`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``964739
oprefixRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``964956
opre_gauss`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``965168
opre_lr`3`n`(Matrix(Integer),Vector(Integer),Vector(Integer))->Matrix(Integer)`pUnitGaussianElimination``965318
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``965523
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``965675
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pQuasiComponentPackage(R,E,V,P,TS)``965809
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``965915
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``966021
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(%))`dRegularTriangularSet(R,E,V,P)``966123
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(%))`dSquareFreeRegularTriangularSet(R,E,V,P)``966219
opre_smith`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``966315
opresub`2`n`(%,%)->%`dOutputForm``966444
opresuper`2`n`(%,%)->%`dOutputForm``966527
opretendOfType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``966614
oprevious`1`x`(%)->%`cDoublyLinkedAggregate(S)``966704
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``966876
oprimaryDecomp`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl)``966960
oprime`1`n`(%)->%`dOutputForm``967076
oprime`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``967168
oprime?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`x`(%)->Boolean`cUniqueFactorizationDomain``967552
oprime?`1`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``967714
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``967795
oprime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``968952
oprime`2`n`(%,NonNegativeInteger)->%`dOutputForm``969014
oprimeFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``969095
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(%)->%`cFieldOfPrimeCharacteristic``969244
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(%,NonNegativeInteger)->%`cFieldOfPrimeCharacteristic``969335
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``969431
oprimextint`4`n`((UP)->UP,(List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``969520
oprimintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(F,NonNegativeInteger)->Union(Record(ratpart:F,coeff:F,prim:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``969777
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``969981
oprimitive?`1`x`(%)->Boolean`cFiniteFieldCategory``970128
oprimitiveElement`0`x`()->%`cFiniteFieldCategory``970368
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``970566
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``970827
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`971233
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``971561
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``971970
oprimitiveMonomials`1`n`(%)->List(%)`cMaybeSkewPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`972324
oprimitiveMonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`1`n`(S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
oprimitivePart`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oprimitivePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oprimitivePart`1`x`(%)->%`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`972521
oprimitivePart`1`x`(%)->%`cFunctionFieldCategory(F,UP,UPUP)``972644
oprimitivePart`1`x`(%)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`972767
oprimitivePart!`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`972891
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`972964
oprimitivePart`2`x`(%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`973157
oprimitiveRowEchelon`1`n`(%)->Record(Ech:%,Lt:Matrix(Fraction(D)),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`973322
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`973692
oprimPartElseUnitCanonical`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`973794
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``973940
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(%)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``973974
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(%))->Record(coef:List(%),generator:%)`cPrincipalIdealDomain``974054
oprincipalSubResultantSet`2`n`(SparseUnivariatePolynomial(Polynomial(TheField)),SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``974276
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``974314
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``974354
oprint`1`n`(%)->Void`dOutputForm``974393
oprint`1`x`(OutputForm)->Void`pPrintPackage``974442
oprintCode`1`n`(%)->Void`dFortranCode``974553
oprintHeader`0`n`()->Void`dTheSymbolTable``974621
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``974769
oprintHeader`2`n`(Symbol,%)->Void`dTheSymbolTable``974915
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``975059
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``975273
oprintStatement`1`n`(List(OutputForm))->%`dFortranCode``975393
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``975472
oprintSys`1`n`(List(D))->OutputForm`dJetDifferentialEquation(JB,D)``975523
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``975677
oprintTypes`1`n`(%)->Void`dSymbolTable``975796
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``975915
oprocessTemplate`1`n`(FileName)->FileName`dFortranTemplate``976089
oprocessTemplate`2`n`(FileName,FileName)->FileName`dFortranTemplate``976214
oprod`1`n`(%)->%`dOutputForm``976323
oprod`2`n`(%,%)->%`dOutputForm``976411
oprod`3`n`(%,%,%)->%`dOutputForm``976529
oprodiag`1`n`(Stream(Stream(A)))->Stream(A)`dStreamTaylorSeriesOperations(A)``976686
oproduct`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``976925
oproduct`2`n`(%,%)->%`dCubicalFacet``977115
oproduct`2`n`(%,%)->%`dFiniteCubicalComplex(VS)``977234
oproduct`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``977281
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``977750
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``977856
oproduct`2`n`(%,%)->List(ProductFacet)`dOrientedFacet``978010
oproduct`2`x`(%,%)->%`cGradedAlgebra(R,E)``978485
oproduct`2`x`(%,%)->%`dCartesianTensor(minix,dim,R)``978932
oproduct`2`x`(%,SegmentBinding(%))->%`cCombinatorialOpsCategory``979198
oproduct`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``979304
oproduct`3`n`(%,%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)``979458
oproductFacet`2`n`(Integer,List(Record(left:NonNegativeInteger,right:NonNegativeInteger)))->%`dProductFacet``979542
oproductFacet`2`n`(Integer,ProductFacet)->%`dProductFacet``979579
oproject`2`n`(%,NonNegativeInteger)->%`dJetDifferentialEquation(JB,D)``979627
oprojection`1`n`(%)->Union(%,"failed")`dCell(TheField)``979777
oprojectionSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``979853
oprojectiveSpace`1`n`(Integer)->DeltaComplex(VS)`pDeltaComplexFactory(VS)``979915
oprojectiveSpace`1`n`(Integer)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``979959
oprojectiveSpace`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``980251
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``980537
oprologue`1`n`(%)->List(String)`dTexFormat``980879
oprologue`1`n`(%)->OutputBox`dFormatter(F)``980959
oprolong`1`n`(%)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``981037
oprolong`2`n`(%,NonNegativeInteger)->%`dJetVectorField(JB,D)``981173
oprolong`2`n`(%,NonNegativeInteger)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``981299
oprolongMV`1`n`(Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger)))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``981424
oprolongSymbol`1`n`(SparseEchelonMatrix(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``981548
oproperties`1`x`(%)->AssociationList(Symbol,None)`dBasicOperator``981624
oproperty`2`x`(%,Symbol)->Union(None,"failed")`dBasicOperator``981725
oproposition`1`n`(String)->%`dILogic``981850
opseudoDivide`2`n`(S,S)->Record(coef:R,quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
opseudoDivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
opseudoDivide`2`x`(%,%)->Record(coef:R,quotient:%,remainder:%)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`981882
opseudoDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cRecursivePolynomialCategory(R,E,V)``982071
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`982272
opseudoRem`3`n`(MPT,MPT,MD)->MPT`cModularAlgebraicGcdOperations(MP,MPT,MD)``982460
opseudoRemainder`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoRemainder`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`982559
oPsi`0`n`()->Symbol`pMathematicalSymbols``982799
opsi`0`n`()->Symbol`pMathematicalSymbols``982864
opsolve`1`n`(Matrix(GR))->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``982927
opsolve`2`n`(Matrix(GR),List(GR))->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``983056
opsolve`2`n`(Matrix(GR),List(Symbol))->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``983207
opsolve`2`n`(Matrix(GR),PositiveInteger)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``983359
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``983507
opsolve`3`n`(Matrix(GR),List(GR),PositiveInteger)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``983731
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``983904
opsolve`3`n`(Matrix(GR),List(Symbol),PositiveInteger)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``984138
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``984312
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``984547
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``984751
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``985000
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``985257
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``985353
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``985439
optree`1`x`(S)->%`dPendantTree(S)``985527
optree`2`x`(%,%)->%`dPendantTree(S)``985574
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``985614
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``985797
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``985867
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``985980
opuiseux`2`x`(Fraction(Integer),ULS)->%`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``986223
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``986277
opuiseux`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``986447
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
opuiseux`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`986675
opuiseux`5`n`((Fraction(Integer))->R,Symbol,R,UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries1(R)``986897
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``987124
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``987263
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``987601
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``987730
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``987914
opurge!`2`n`(%,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``988052
opush!`2`x`(S,%)->S`cStackAggregate(S)``988181
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``988440
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``988486
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``988631
opushFortranOutputStack`1`n`(FileName)->Void`pFortranOutputStackPackage``988779
opushFortranOutputStack`1`n`(String)->Void`pFortranOutputStackPackage``988865
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``988951
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``989093
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``989224
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``989268
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``989421
oputGraph`3`n`(%,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``989620
oqaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``990037
oqaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``990261
oqaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``990415
oqaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``990520
oqcoerce`1`x`(Integer)->%`dNonNegativeInteger``990683
oqcoerce`1`x`(Integer)->%`dPositiveInteger``990776
oqcolumnIndices`2`n`(%,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``990866
oqcolumnIndices`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``991022
oqcolumnIndices`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``991200
oqconvert`1`n`(Integer)->%`dU64Int``0
oqconvert`1`x`(Integer)->%`dSingleInteger``991392
oqdiagonal?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``991486
oqdiagonal`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``991612
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(%,Dom)->Im`cEltableAggregate(Dom,Im)``991751
oqelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``992053
oqelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``992175
oqelt`3`x`(%,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``992258
oqelt`3`x`(%,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``992454
oqelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``992628
oqequal?`5`n`(%,List(NonNegativeInteger),%,List(NonNegativeInteger),NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``992765
oqinterval`2`n`(R,R)->%`cAIntervalCategory(R)``992869
oqlog`1`x`(%)->%`dDoubleFloat``992972
oqmultiplyColumn!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``993064
oqmultiplyRow!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``993146
oqnew`1`n`(Integer)->%`dComplexDoubleFloatVector``993239
oqnew`1`n`(Integer)->%`dDoubleFloatVector``993316
oqnew`1`n`(NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``993393
oqnew`2`n`(NonNegativeInteger,List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``993459
oqnew`2`x`(NonNegativeInteger,NonNegativeInteger)->%`cTwoDimensionalArrayCategory(R,Row,Col)``993530
oqnew`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``993602
oqnilpotent?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``993725
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``993858
oqregular?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``994070
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``994171
oqrowIndices`2`n`(%,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``994262
oqrowIndices`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``994415
oqrowIndices`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``994590
oqscaleBlock!`7`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``994736
oqsemizero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``994885
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(%,shallowlyMutable)`995032
oqsetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``995244
oqsetelt!`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``995405
oqsetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``995585
oqsetfirst!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
oqsetfirst!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`995723
oqsetrest!`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oqsetrest!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`995847
oqShiftAction`4`n`(D,NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``995961
oqShiftC`2`n`(D,NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``996200
oqsqrt`1`x`(%)->%`dDoubleFloat``996519
oqswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``996607
oqswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``996707
oqswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``996847
oqswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``996941
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``997076
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``997117
oquadraticForm`1`x`(SquareMatrix(n,K))->%`dQuadraticForm(n,K)``997164
oquadraticNonResidue`0`n`()->%`dInnerPrimeField(p)``997262
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``997384
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``997470
oquartic2`2`n`(SparseUnivariatePolynomial(F),F)->Union(Record(reals:List(F),complexes:List(Record(real:F,imag:F))),"failed")`pRootUtilities(R,F)``997509
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``997571
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``997622
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(%)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``997822
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(%)->Boolean`cRecursivePolynomialCategory(R,E,V)``997972
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``998145
oquasiRegular?`1`n`(%)->Boolean`dXPolynomialRing(R,E)``998321
oquasiRegular`1`n`(%)->%`dXPolynomialRing(R,E)``998402
oquasiRegular?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``998473
oquasiRegular`1`x`(%)->%`cXFreeAlgebra(vl,R)``998554
oquatern`4`x`(R,R,R,R)->%`cQuaternionCategory(R)``998625
oqueue`1`x`(List(S))->%`dQueue(S)``998697
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``998850
oquo`2`n`(%,%)->%`dOutputForm``998973
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`x`(%,%)->%`cEuclideanDomain``999030
oquo`2`x`(%,%)->%`dNonNegativeInteger``999140
oquoByVar`1`x`(%)->%`cUnivariateTaylorSeriesCategory(Coef)``999235
oquote`0`x`()->%`dCharacter``999499
oquote`1`n`(%)->%`dOutputForm``999568
oquoted?`1`n`(%)->Boolean`dPattern(R)``999638
oquotedOperators`1`x`(%)->List(Symbol)`dRewriteRule(Base,R,F)``999729
oquotient`2`n`(%,List(List(Integer)))->%`dGroupPresentation``999952
oquotient`2`n`(%,List(NonNegativeInteger))->%`dGroupPresentation``1000013
oquotient`2`x`(%,DPoly)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1000077
oquotient`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1000228
oquotient`3`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``1000331
oquotientByP`1`x`(%)->%`cPAdicIntegerCategory(p)``1000436
oquppertriangular?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1000509
oqzero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1000655
oqzero?`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1000788
oqzero?`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1000892
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,FreeMonoid(VAR))->Boolean`dFreeDivisionAlgebra(VAR,F)``1001047
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1001193
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1001296
oR1_to_R2_coercion`1`x`(R1)->R2`pDistributionFunctions2(R1,R2)``1001455
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`cJetBundleCategory``1001519
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`xJetBundleCategory&(S)``1001590
orabs`1`x`(Complex(DoubleFloat))->DoubleFloat`pFloatSpecialFunctions``1001661
orabs`1`x`(Complex(Float))->Float`pFloatEllipticFunctions``1001681
orabs`1`x`(Complex(Float))->Float`pFloatSpecialFunctions``1001702
orabs`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``1001722
orabs`1`x`(Float)->Float`pFloatEllipticFunctions``1001742
orabs`1`x`(Float)->Float`pFloatSpecialFunctions``1001763
oracahR`6`n`(F,F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``1001783
oracahR`6`x`(%,%,%,%,%,%)->%`cSpecialFunctionCategory``1001847
oradical`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl)``1001911
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``1001979
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``1002131
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``1002328
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``1002507
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``1002739
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``1002892
oradicalSimplify`1`n`(QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(#(vl),NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(#(vl),NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pQuasiAlgebraicSet2(vl)``1003064
oradical_solve`1`n`(SparseUnivariatePolynomial(F))->Union(List(F),"failed")`pRootUtilities(R,F)``1003368
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1003492
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1003689
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1003853
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1004049
oradical_solve`1`x`(SparseUnivariatePolynomial(Polynomial(R)))->Union(List(Expression(R)),"failed")`pRadicalSolvePackage(R)``1004225
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1004288
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1004458
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1004650
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1004841
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``1005064
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``1005147
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``1005269
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1005431
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1005498
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1005568
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``1005635
orandnum`0`x`()->Integer`pRandomNumberSource``1005738
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``1005803
orandom`0`n`()->S`xFinite&(S)``0
orandom`0`n`()->S`xFramedModule&(S,R)``0
orandom`0`n`()->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
orandom`0`x`()->%`cFinite``1005873
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1005935
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1006065
orandom`1`x`(%)->%`cIntegerNumberSystem``1006149
orandom`1`x`(%)->%`dInteger``1006220
orandom`1`x`(%)->%`dNonNegativeInteger``1006291
orandom`1`x`(%)->Permutation(S)`dPermutationGroup(S)``1006362
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1006499
orandom`2`x`(%,Integer)->Permutation(S)`dPermutationGroup(S)``1006672
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``1006779
orandom_poly`2`n`(Integer,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1006841
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``1006922
orandomR`1`n`(Integer)->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1006978
orange`1`x`(List(Segment(Float)))->%`dDrawOption``1007038
orange`1`x`(List(Segment(Fraction(Integer))))->%`dDrawOption``1007163
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1007288
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``1007368
oranges`1`n`(%)->List(Segment(Float))`dGraphImage``1007487
oranges`1`x`(List(Segment(Float)))->%`dDrawOption``1007651
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``1007783
oranges`2`n`(%,List(Segment(Float)))->List(Segment(Float))`dGraphImage``1007982
orank`0`n`()->PositiveInteger`cFramedModule(R)``1008227
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`n`()->PositiveInteger`xOctonionCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``1008279
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``1008333
orank`1`n`(List(Vector(R)))->NonNegativeInteger`dVectorSpaceBasis(R)``1008406
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1008468
orank`1`n`(%)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``1008531
orank`1`n`(%)->NonNegativeInteger`dVectorSpaceBasis(R)``1008672
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`1008777
orank`1`x`(%)->NonNegativeInteger`cMatrixOperationsCategory(R,Row,Col)`has(R,IntegralDomain)`1008840
orank`1`x`(%)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``1008903
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``1009044
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``1009159
orarrow`2`n`(%,%)->%`dOutputForm``1009274
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``1009347
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``1009485
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``1009601
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``1009736
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1009863
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1010175
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1010415
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1010727
oratexpr`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1010967
oratexprInverse`2`n`(%,Boolean)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1011095
orational?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
orational?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xIntegerNumberSystem&(S)``0
orational`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
orational?`1`x`(%)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`1011293
orational?`1`x`(%)->Boolean`cIntegerNumberSystem``1011360
orational?`1`x`(%)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1011461
orational?`1`x`(%)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1011575
orational?`1`x`(%)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`1011769
orational?`1`x`(%)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1011879
orational?`1`x`(%)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1011953
orational`1`x`(%)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`1012027
orational`1`x`(%)->Fraction(Integer)`cIntegerNumberSystem``1012137
orational`1`x`(%)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1012224
orational`1`x`(%)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1012344
orational`1`x`(%)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`1012553
orational`1`x`(%)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1012704
orational`1`x`(%)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1012821
orational?`1`x`(S)->Boolean`pRationalRetractions(S)``1012936
orational`1`x`(S)->Fraction(Integer)`pRationalRetractions(S)``1013041
orationalApproximation`2`x`(%,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1013150
orationalApproximation`2`x`(%,NonNegativeInteger)->Fraction(Integer)`dFloat``1013285
orationalApproximation`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1013420
orationalApproximation`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``1013594
orationalFunction`2`x`(%,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1013766
orationalFunction`3`x`(%,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1013908
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xIntegerNumberSystem&(S)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
orationalIfCan`1`x`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``1014071
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`1014188
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``1014308
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1014411
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1014524
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`1014745
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1014853
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1014963
orationalize_ir`2`n`(IntegrationResult(F),Kernel(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``1015076
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``1015176
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1015255
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``1015334
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`1015417
orationalPower`1`x`(%)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``1015500
orational_reconstruction`1`n`(%)->Union(Record(numers:PrimitiveArray(Integer),denoms:PrimitiveArray(Integer)),"failed")`dVectorIntegerReconstructor``1015598
orational_reconstruction`1`n`(%)->Union(Record(numers:PrimitiveArray(U32Vector),denoms:PrimitiveArray(U32Vector)),"failed")`dVectorModularReconstructor``1015727
orational_reconstruction`4`n`(Integer,Integer,Integer,Integer)->Union(Record(num:Integer,den:Integer),"failed")`dVectorIntegerReconstructor``1015856
orational_reconstruction`4`n`(U32Vector,U32Vector,Integer,Integer)->Union(Record(numer:U32Vector,denom:U32Vector),"failed")`dVectorModularReconstructor``1016070
oratpart`1`n`(%)->F`dIntegrationResult(F)``1016296
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``1016373
oravel`1`x`(%)->List(R)`dCartesianTensor(minix,dim,R)``1016499
orc`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``1016620
orCoord`1`n`(Point(R))->R`pPointPackage(R)``1016659
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``1016926
ordivide`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Record(quotient:XDistributedPolynomial(vl,F),remainder:XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``1016971
ordregime`1`n`(String)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``1017226
oread`1`n`(%)->None`dBasicFile``1017299
oread!`1`x`(%)->S`cFileCategory(Name,S)``1017361
oread`2`n`(%,String)->None`dBasicKeyedAccessFile``1017525
oreadable?`1`x`(%)->Boolean`cFileNameCategory``1017602
oreadIfCan`1`n`(%)->Union(None,"failed")`dBasicFile``1017702
oreadIfCan!`1`x`(%)->Union(S,"failed")`dFile(S)``1017790
oreadIfCan!`1`x`(%)->Union(String,"failed")`dTextFile``1017981
oreadLine!`1`x`(%)->String`dTextFile``1018190
oreadLineIfCan!`1`x`(%)->Union(String,"failed")`dTextFile``1018284
oreal?`1`n`(%)->Boolean`dFortranScalarType``1018497
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``1018583
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``1018648
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``1018713
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``1018807
oreal`1`x`(%)->R`cComplexCategory(R)``1018901
oreal`1`x`(%)->R`cOctonionCategory(R)``1018954
oreal`1`x`(%)->R`cQuaternionCategory(R)``1019017
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``1019086
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``1019300
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1019580
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1019730
orealLiouvillian`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1019917
orealLiouvillian`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1020184
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``1020466
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``1020583
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1020897
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1020987
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1021255
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``1021353
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1021557
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1021664
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1022537
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1022668
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1022799
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1022958
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1023117
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1023311
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1023505
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1023730
orecip`0`n`()->%`dMoebiusTransform(F)``1023955
orecip`1`n`(%)->%`dMoebiusTransform(F)``1024056
orecip`1`n`(Stream(A))->Union(Stream(A),"failed")`dStreamTaylorSeriesOperations(A)``1024100
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xEntireRing&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
orecip`1`n`(%)->Union(%,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1024201
orecip`1`n`(%)->Union(%,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``1024238
orecip`1`x`(%)->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1024275
orecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``1024502
orecip`1`x`(%)->Union(%,"failed")`dCliffordAlgebra(n,K,bLin)``1024700
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`x`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``1024814
orecip`2`x`(ThePols,%)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1024963
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``1025051
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``1025220
oreconstruct`2`n`(%,Vector(Integer))->Union(PrimitiveArray(Integer),"failed")`dVectorIntegerReconstructor``1025316
oreconstruct`5`n`(%,Integer,Vector(Integer),Vector(Integer),SortedExponentVector)->Union(Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed")`dVectorModularReconstructor``1025429
oreconstruct`7`n`(Integer,Vector(Integer),Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1025562
orectangularMatrix`1`n`(Matrix(R))->%`dRectangularMatrix(m,n,R)``1025709
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``1025834
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``1025949
ored`0`x`()->%`dColor``1026015
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``1026088
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,Dpol)``1026226
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1026260
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1026295
ored_pol!`2`n`(PA,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1026486
oredpps`2`n`(Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))),List(GR))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``1026626
oreduce`1`n`(%)->%`dJetBundleExpression(JB)``1026741
oreduce`1`n`(%)->%`dJetBundleXExpression(JB)``1026797
oreduce`1`n`(FPol)->%`dResidueRing(F,Expon,VarSet,FPol,LFPol)``1026857
oreduce`1`n`(Fraction(SparseUnivariatePolynomial(R)))->Union(S,"failed")`xComplexCategory&(S,R)``0
oreduce`1`n`(Fraction(UP))->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(Rep)->%`dModMonic(R,Rep)``1026944
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``1027009
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`x`(%)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``1027157
oreduce`1`x`(%)->%`dAlgebraicNumber``1027287
oreduce`1`x`(%)->%`dExpression(R)`has(R,IntegralDomain)`1027416
oreduce`1`x`(Fraction(UP))->Union(%,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`1027548
oreduce`1`x`(UP)->%`cMonogenicAlgebra(R,UP)``1027632
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`(R,List(R))->Record(poly:R,repr:Vector(R),mult:C)`pExtendedPolynomialReduction(C,E,R)``1027783
oreduce`2`n`(R,Mod)->%`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1027951
oreduce`2`n`(R,Mod)->%`dModularField(R,Mod,reduction,merge,exactQuo)``1027992
oreduce`2`n`(R,Mod)->%`dModularRing(R,Mod,reduction,merge,exactQuo)``1028033
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`x`((S,S)->S,%)->S`cCollection(S)`has(%,finiteAggregate)`1028074
oreduce`3`n`((P,P)->P,S,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`3`n`((S,S)->S,A,S)->S`xCollection&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xListAggregate&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`3`x`((A,B)->B,DirectProduct(dim,A),B)->B`pDirectProductFunctions2(dim,A,B)``1028382
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``1028547
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``1028916
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``1029256
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``1029590
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``1029755
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1029962
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1030312
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``1030450
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``1030778
oreduce`3`x`((S,S)->S,%,S)->S`cCollection(S)`has(%,finiteAggregate)`1031098
oreduce`4`n`((P,P)->P,S,P,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`(P,S,(P,P)->P,(P,P)->Boolean)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xCollection&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xListAggregate&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`4`x`(P,%,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``1031482
oreduce`4`x`((S,S)->S,%,S,S)->S`cCollection(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1032022
oreduceBasis0`4`n`(TwoDimensionalArray(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``0
oreduceBasis`4`n`(Vector(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``1032393
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`x`(Vector(%))->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``1032526
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1032685
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``1032796
oreduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``1032886
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`x`(P,%,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``1033001
oreducedContinuedFraction`2`x`(R,Stream(R))->%`dContinuedFraction(R)``1033224
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``1033529
oreducedForm`1`x`(%)->%`dContinuedFraction(R)``1033581
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``1033813
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`x`(Matrix(%))->Matrix(R)`cLinearlyExplicitOver(R)``1033975
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(S),vec:Vector(S))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(F),List((F)->F))->Matrix(F)`pConstantLinearDependence(R,F)``1034113
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`x`(Matrix(%),Vector(%))->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitOver(R)``1034271
oreducedSystem`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(mat:Matrix(F),vec:Vector(F))`pConstantLinearDependence(R,F)``1034434
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``1034626
oreduceLODE`2`n`(LO,List(A))->Record(mat:Matrix(L),vecs:List(Vector(F)))`pReduceLODE(F,L,UP,A,LO)``1034971
oreduceMod`2`n`(List(%),List(%))->List(%)`cJetBundleFunctionCategory(JB)``1035216
oreduceMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``1035314
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``1035516
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``1035805
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``1035967
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``1036076
oreductum`1`n`(%)->%`cIndexedProductCategory(A,S)`has(S,Comparable)`1036161
oreductum`1`n`(%)->%`cSolvableSkewPolynomialCategory(R,Expon)``1036328
oreductum`1`n`(%)->%`dAntiSymm(R,lVar)``1036439
oreductum`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``1036618
oreductum`1`n`(%)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1036793
oreductum`1`n`(%)->%`dLaurentPolynomial(R,UP)``1036833
oreductum`1`n`(%)->%`dXPolynomialRing(R,E)``1036873
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(%,V)->%`cRecursivePolynomialCategory(R,E,V)``1036982
oredux`1`n`(%)->%`dILogic``1037110
oredux`1`n`(%)->%`dLambda(UT)``1037264
oredux`1`n`(%)->%`dLatticeJoinOfMeets``1037337
oredux`1`n`(%)->%`dLatticeMeetOfJoins``1037370
oredux`1`n`(%)->%`dSKICombinators(UT)``1037403
oref`1`n`(S)->%`dReference(S)``1037515
orefactor`1`n`(%)->%`dGroupPresentation``1037590
orefactorIndexes`2`n`(%,NonNegativeInteger)->%`dFiniteSimplicialComplex(VS)``1037810
orefactorIndexes`2`n`(%,NonNegativeInteger)->%`dOrientedFacet``1037906
orefine!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1038006
orefine`1`n`(%)->%`dPlot3D``1038077
orefine`1`n`(%)->%`dPlot``1038115
orefine`1`x`(%)->%`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1038182
orefine!`2`n`(%,Boolean)->%`dFreeDivisionAlgebra(VAR,F)``1038263
orefine`2`n`(%,DoubleFloat)->%`dPlaneAlgebraicCurvePlot``1038437
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``1038480
orefine`2`n`(%,Segment(DoubleFloat))->%`dPlot3D``1038867
orefine`2`n`(%,Segment(DoubleFloat))->%`dPlot``1038908
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``1038949
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``1039128
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``1039307
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``1039599
orefined?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1039889
orefinementEquations`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1039957
orefinementGroebner`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1040067
orefinementSolve`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``1040352
orefinementTransformations`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``1040594
orefineUR!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1040695
orefineUR!`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1040823
oregime`7`n`(Record(det:GR,rows:List(Integer),cols:List(Integer)),Matrix(GR),List(Fraction(Polynomial(R))),List(List(GR)),NonNegativeInteger,NonNegativeInteger,Integer)->Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))`pParametricLinearEquations(R,Var,Expon,GR)``1040949
oregion`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1041765
oregular?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1042035
oregularRepresentation`1`n`(G)->Matrix(Integer)`pFiniteGroupPackage(G)``1042092
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(%)->Matrix(R)`cFramedAlgebra(R,UP)``1042209
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`2`x`(%,Vector(%))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1042447
oreindex`1`n`(%)->%`dOrientedFacet``1042713
oreindex`2`x`(%,List(Integer))->%`dCartesianTensor(minix,dim,R)``1042782
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeal(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`1043036
orelationsInGenerators`1`x`(%)->List(List(Integer))`dPermutationGroup(S)``1043148
orelationsInStrongGenerators`1`x`(%)->List(List(Integer))`dPermutationGroup(S)``1043227
orelativeApprox`2`x`(%,%)->Fraction(Integer)`dRealClosure(TheField)``1043319
orelativeApprox`3`x`(ThePolDom,%,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1043425
orelativeApprox`3`x`(ThePols,%,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``1043549
orelerror`2`x`(%,%)->%`dFloat``1043675
orem`2`n`(%,%)->%`dOutputForm``1043774
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`x`(%,%)->%`cEuclideanDomain``1043831
orem`2`x`(%,%)->%`dNonNegativeInteger``1043942
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`x`(P,%)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1044012
oremainder!`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``1044296
oRemainderList`1`n`(%)->List(Record(k:Symbol,c:%))`dXPolynomial(R)``0
oRemainderList`1`n`(%)->List(Record(k:VarSet,c:%))`dXRecursivePolynomial(VarSet,R)``1044324
oremap_variables`3`n`(SparseMultivariatePolynomial(R,VarSet1),List(VarSet1),List(VarSet2))->SparseMultivariatePolynomial(R,VarSet2)`pSparsePolynomialCoercionHelpers(R,VarSet1,VarSet2)``1044412
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove`2`n`(S,A)->A`xCollection&(A,S)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(SplittingNode(V,C),%)->%`dSplittingTree(V,C)``1044640
oremove`2`n`(SplittingNode(V,C),%)->%`dSplittingTree(V,C)``1044702
oremove!`2`n`(%,String)->Void`dBasicKeyedAccessFile``1044890
oremove!`2`x`(Key,%)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1044972
oremove`2`x`((S)->Boolean,%)->%`cCollection(S)`has(%,finiteAggregate)`1045158
oremove!`2`x`((S)->Boolean,%)->%`cDictionaryOperations(S)`has(%,finiteAggregate)`1045336
oremove!`2`x`((S)->Boolean,%)->%`cExtensibleLinearAggregate(S)``1045477
oremove`2`x`((S)->Boolean,%)->%`cLazyStreamAggregate(S)``1045599
oremove`2`x`(S,%)->%`cCollection(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1045788
oremove!`2`x`(S,%)->%`cDictionaryOperations(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1045940
oremove!`2`x`(S,%)->%`cExtensibleLinearAggregate(S)`has(S,BasicType)`1046067
oremove`3`x`((S)->Boolean,%,Integer)->%`dMultiset(S)``1046152
oremove!`3`x`((S)->Boolean,%,Integer)->%`dMultiset(S)``1046430
oremove`3`x`(S,%,Integer)->%`dMultiset(S)``1046723
oremove!`3`x`(S,%,Integer)->%`dMultiset(S)``1046953
oremoveChild!`2`n`(%,%)->Void`dScene(PT)``1047198
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`1047297
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1047407
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1047586
oremove_denoms`3`n`(Vector(Integer),PrimitiveArray(Integer),PrimitiveArray(Integer))->PrimitiveArray(Integer)`dVectorIntegerReconstructor``1047761
oremove_denoms`4`n`(Vector(Integer),PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->PrimitiveArray(U32Vector)`dVectorModularReconstructor``1047970
oremoveDuplicates`1`n`(A)->A`xCollection&(A,S)``0
oremoveDuplicates`1`n`(A)->A`xExtensibleLinearAggregate&(A,S)``0
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates`1`x`(%)->%`cCollection(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1048306
oremoveDuplicates!`1`x`(%)->%`cExtensibleLinearAggregate(S)`has(S,BasicType)`1048396
oremoveDuplicates!`1`x`(%)->%`cMultiDictionary(S)``1048479
oremoveHandler!`3`n`(%,Integer,String)->Void`dOperatorHandlers(HANDLER)``1048581
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1048772
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1049061
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1049711
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1049997
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1050284
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1050385
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1050594
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1050939
oremoveRepeats!`1`n`(%)->%`dIndexedFlexibleArray(S,mn)``1051256
oremoveRepeats!`1`x`(%)->%`dFlexibleArray(S)``0
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1051378
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``1051719
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1051867
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1052155
oremoveRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dFreeDivisionAlgebra(VAR,F)``1052427
oremoveRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``1052598
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1052750
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1052929
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1053104
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``1053265
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1053367
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``1053469
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1053646
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1053823
oremoveZeroes`1`n`(%)->%`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(%)->%`dPAdicRationalConstructor(p,PADIC)``1054074
oremoveZeroes`1`n`(%)->%`dPAdicRational(p)``0
oremoveZeroes`1`x`(%)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1054626
oremoveZeroes`2`n`(Integer,%)->%`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,%)->%`dPAdicRationalConstructor(p,PADIC)``1055153
oremoveZeroes`2`n`(Integer,%)->%`dPAdicRational(p)``0
oremoveZeroes`2`x`(Integer,%)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1055266
oremoveZeros`2`n`(%,Expon)->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``1055719
orename!`2`x`(%,OutputForm)->%`cRealClosedField``1055826
orename`2`x`(%,OutputForm)->%`cRealClosedField``1055893
oreopen!`2`x`(%,String)->%`cFileCategory(Name,S)``1055962
oreorder`2`n`(%,List(Integer))->%`dDistributedMultivariatePolynomial(vl,R)``1056151
oreorder`2`n`(%,List(Integer))->%`dGeneralDistributedMultivariatePolynomial(vl,R,E)``1056293
oreorder`2`n`(%,List(Integer))->%`dHomogeneousDistributedMultivariatePolynomial(vl,R)``1056435
orepack1`4`n`(MPT,U32Vector,Integer,MD)->Void`cModularAlgebraicGcdOperations(MP,MPT,MD)``1056577
orepack_polys`4`n`(Integer,Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector))->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1056729
orepeatedIndex`1`n`(%)->List(PositiveInteger)`cJetBundleCategory``1057005
orepeatedIndex`1`n`(S)->List(PositiveInteger)`xJetBundleCategory&(S)``0
orepeating`1`x`(List(S))->%`dStream(S)``1057119
orepeating?`2`x`(List(S),%)->Boolean`dStream(S)`has(S,SetCategory)`1057203
orepeatUntilLoop`2`n`(Switch,%)->%`dFortranCode``1057337
oreplace`3`x`(%,UniversalSegment(Integer),%)->%`cStringAggregate``1057417
oreplaceDiffs`3`n`(F,BasicOperator,Symbol)->F`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oreplaceKthElement`3`n`(%,PositiveInteger,PositiveInteger)->Union(%,"failed")`dSetOfMIntegersInOneToN(m,n)``1057521
orepresentation`1`n`(%)->List(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1057716
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``1057825
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(R))->%`cFramedModule(R)``1057974
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`n`(Vector(R))->S`xOctonionCategory&(S,R)``0
orepresents`2`n`(Vector(Fraction(UP)),Vector(S))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(F),Vector(S))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xOctonionCategory&(S,R)``0
orepresents`2`n`(Vector(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`x`(Vector(R),Vector(%))->%`cFiniteRankAlgebra(R,UP)``1058118
orepresents`2`x`(Vector(R),Vector(%))->%`cFiniteRankNonAssociativeAlgebra(R)``1058207
orepresents`2`x`(Vector(UP),UP)->%`cFunctionFieldCategory(F,UP,UPUP)``1058321
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1058419
oreseed`1`x`(Integer)->Void`pRandomNumberSource``1058548
oreset`1`n`(%)->Void`dTwoDimensionalViewport``1058622
oreset`1`x`(%)->Void`dThreeDimensionalViewport``1058832
oresetBadValues`1`n`(%)->%`dPattern(R)``1059046
oresetNew`0`x`()->Void`dSymbol``1059206
oresetNewGreek`0`n`()->Void`pMathematicalSymbols``1059333
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``1059452
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``1059576
oresize`3`n`(%,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``1059697
oresize`3`x`(%,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``1059936
orest`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
orest`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`1`n`(%)->%`dFreeMagma(VarSet)``1060179
orest`1`n`(%)->%`dFreeMonoid(S)``1060316
orest`1`n`(%)->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``1060380
orest`1`n`(S)->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
orest`1`x`(%)->%`cUnaryRecursiveAggregate(S)``1060455
orest`1`x`(%)->Union(%,"failed")`cTriangularSetCategory(R,E,V,P)``1060593
orest`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
orest`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)``1060755
oresult`1`n`(%)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``1060850
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``1061053
oresultant`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1061130
oresultant`2`x`(%,%)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`1061342
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`n`(U32Vector,U32Vector,Integer)->Integer`pU32VectorPolynomialOperations``1061436
oresultant`3`x`(%,%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`1061534
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1061669
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1061776
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1061868
oresultantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oretract`1`n`(A)->Fraction(Integer)`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Fraction(Integer)`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->Integer`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Integer`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xDifferentialVariableCategory&(A,S)``0
oretract`1`n`(A)->S`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->S`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xRetractableTo&(A,S)``0
oretract`1`n`(A)->Symbol`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(Expression(Float))->%`cFortranFunctionCategory``1062023
oretract`1`n`(Expression(Float))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1062145
oretract`1`n`(Expression(Integer))->%`cFortranFunctionCategory``1062472
oretract`1`n`(Expression(Integer))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1062594
oretract`1`n`(Expression(R))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1062921
oretract`1`n`(Fraction(Polynomial(Float)))->%`cFortranFunctionCategory``1063248
oretract`1`n`(Fraction(Polynomial(Float)))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1063370
oretract`1`n`(Fraction(Polynomial(Integer)))->%`cFortranFunctionCategory``1063697
oretract`1`n`(Fraction(Polynomial(Integer)))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1063819
oretract`1`n`(JetBundleExpression(JB))->%`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1064146
oretract`1`n`(JetBundleExpression(JB))->%`dJetBundleXExpression(JB)``1064271
oretract`1`n`(%)->List(D)`dJetDifferentialEquation(JB,D)``1064396
oretract`1`n`(Matrix(Expression(Float)))->%`cFortranMatrixFunctionCategory``1064487
oretract`1`n`(Matrix(Expression(Integer)))->%`cFortranMatrixFunctionCategory``1064609
oretract`1`n`(Matrix(Fraction(Polynomial(Float))))->%`cFortranMatrixFunctionCategory``1064731
oretract`1`n`(Matrix(Fraction(Polynomial(Integer))))->%`cFortranMatrixFunctionCategory``1064853
oretract`1`n`(Matrix(Polynomial(Float)))->%`cFortranMatrixFunctionCategory``1064975
oretract`1`n`(Matrix(Polynomial(Integer)))->%`cFortranMatrixFunctionCategory``1065097
oretract`1`n`(Polynomial(Float))->%`cFortranFunctionCategory``1065219
oretract`1`n`(Polynomial(Float))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1065341
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->%`cFortranFunctionCategory``1065668
oretract`1`n`(Polynomial(Integer))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1065790
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->A`xRetractableFrom&(A,S)``0
oretract`1`n`(S)->%`cRetractableFrom(S)``1066117
oretract`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Fraction(Integer)`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Fraction(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Polynomial(R))`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Integer`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Integer`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oretract`1`n`(S)->Integer`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Integer`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Integer`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Integer`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Integer`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Integer`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->K`xExpressionSpace2&(S,K)``0
oretract`1`n`(S)->K`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Polynomial(R)`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->R`xComplexCategory&(S,R)``0
oretract`1`n`(S)->R`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->R`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->SingletonAsOrderedSet`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Symbol`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Symbol`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->ULS`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretract`1`n`(S)->UTS`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->VarSet`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Symbol)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1066240
oretract`1`n`(Vector(Expression(Float)))->%`cFortranVectorFunctionCategory``1066501
oretract`1`n`(Vector(Expression(Integer)))->%`cFortranVectorFunctionCategory``1066623
oretract`1`n`(Vector(Fraction(Polynomial(Float))))->%`cFortranVectorFunctionCategory``1066745
oretract`1`n`(Vector(Fraction(Polynomial(Integer))))->%`cFortranVectorFunctionCategory``1066867
oretract`1`n`(Vector(Polynomial(Float)))->%`cFortranVectorFunctionCategory``1066989
oretract`1`n`(Vector(Polynomial(Integer)))->%`cFortranVectorFunctionCategory``1067111
oretract`1`x`(Any)->S`pAnyFunctions1(S)``1067233
oretract`1`x`(Polynomial(Fraction(Integer)))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1067395
oretract`1`x`(Polynomial(Integer))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1067558
oretract`1`x`(Polynomial(R))->%`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1067721
oretract`1`x`(%)->S`cRetractableTo(S)``1067884
oretractable?`1`n`(%)->Boolean`dAntiSymm(R,lVar)``1068019
oretractable?`1`n`(%)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``1068123
oretractable?`1`n`(%)->Boolean`dFreeMagma(VarSet)``1068248
oretractable?`1`n`(%)->Boolean`dLyndonWord(VarSet)``1068327
oretractable?`1`n`(%)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``1068406
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``1068502
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(R,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialVariableCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Symbol,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(V,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(Expression(Float))->Union(%,"failed")`cFortranFunctionCategory``1068600
oretractIfCan`1`n`(Expression(Float))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1068727
oretractIfCan`1`n`(Expression(Integer))->Union(%,"failed")`cFortranFunctionCategory``1069067
oretractIfCan`1`n`(Expression(Integer))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1069194
oretractIfCan`1`n`(Expression(R))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1069534
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``1069874
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(%,"failed")`cFortranFunctionCategory``1069918
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1070045
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(%,"failed")`cFortranFunctionCategory``1070385
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1070512
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(%,"failed")`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1070852
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(%,"failed")`dJetBundleXExpression(JB)``1070940
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Matrix(Expression(Float)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1071060
oretractIfCan`1`n`(Matrix(Expression(Integer)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1071187
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Float))))->Union(%,"failed")`cFortranMatrixFunctionCategory``1071314
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(%,"failed")`cFortranMatrixFunctionCategory``1071441
oretractIfCan`1`n`(Matrix(Polynomial(Float)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1071568
oretractIfCan`1`n`(Matrix(Polynomial(Integer)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1071695
oretractIfCan`1`n`(Polynomial(Float))->Union(%,"failed")`cFortranFunctionCategory``1071822
oretractIfCan`1`n`(Polynomial(Float))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1071949
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(%,"failed")`cFortranFunctionCategory``1072289
oretractIfCan`1`n`(Polynomial(Integer))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1072416
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(%,"failed")`cRetractableFrom(S)``1072756
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Polynomial(R)),"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xIntegerNumberSystem&(S)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(JB,"failed")`xJetBundleFunctionCategory&(S,JB)``0
oretractIfCan`1`n`(S)->Union(K,"failed")`xExpressionSpace2&(S,K)``0
oretractIfCan`1`n`(S)->Union(K,"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Polynomial(R),"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(ULS,"failed")`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretractIfCan`1`n`(S)->Union(UTS,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(VarSet,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(V,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Symbol)->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1072894
oretractIfCan`1`n`(Vector(Expression(Float)))->Union(%,"failed")`cFortranVectorFunctionCategory``1073168
oretractIfCan`1`n`(Vector(Expression(Integer)))->Union(%,"failed")`cFortranVectorFunctionCategory``1073295
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Float))))->Union(%,"failed")`cFortranVectorFunctionCategory``1073422
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Integer))))->Union(%,"failed")`cFortranVectorFunctionCategory``1073549
oretractIfCan`1`n`(Vector(Polynomial(Float)))->Union(%,"failed")`cFortranVectorFunctionCategory``1073676
oretractIfCan`1`n`(Vector(Polynomial(Integer)))->Union(%,"failed")`cFortranVectorFunctionCategory``1073803
oretractIfCan`1`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``1073930
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1074095
oretractIfCan`1`x`(Polynomial(Integer))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1074220
oretractIfCan`1`x`(Polynomial(R))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1074345
oretractIfCan`1`x`(%)->Union(S,"failed")`cRetractableTo(S)``1074470
oretract_Q`1`n`(F)->Union(Fraction(Integer),"failed")`pFunctionalSpecialFunction(R,F)``1074620
oreturns`0`n`()->%`dFortranCode``1074679
oreturns`1`n`(Expression(Complex(Float)))->%`dFortranCode``1074759
oreturns`1`n`(Expression(Float))->%`dFortranCode``1074862
oreturns`1`n`(Expression(Integer))->%`dFortranCode``1074965
oreturns`1`n`(Expression(MachineComplex))->%`dFortranCode``1075068
oreturns`1`n`(Expression(MachineFloat))->%`dFortranCode``1075171
oreturns`1`n`(Expression(MachineInteger))->%`dFortranCode``1075274
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1075377
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1075502
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),%)->Void`dTheSymbolTable``1075627
oreturnTypeOf`2`n`(Symbol,%)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``1075750
oreverse`1`n`(A)->A`xLinearAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xListAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oreverse!`1`n`(%)->%`dListMonoidOps(S,E,un)``1075837
oreverse`1`n`(%)->%`dListMonoidOps(S,E,un)``1075945
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1076162
oreverse!`1`x`(%)->%`cDequeueAggregate(S)``1076231
oreverse!`1`x`(%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable))`1076400
oreverse`1`x`(%)->%`cLinearAggregate(S)`has(%,finiteAggregate)`1076479
oreverse`1`x`(%)->%`cSegmentCategory(S)`has(S,OrderedRing)`1076563
oreverse`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``1076631
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1076737
orevert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
orevert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``1076933
orevert`1`n`(Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)``1077128
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),%)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1077315
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1077603
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),%)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1077978
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1078244
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`x`(List(P),%,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``1078797
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`1079593
oRho`0`n`()->Symbol`pMathematicalSymbols``1079655
orho`0`n`()->Symbol`pMathematicalSymbols``1079720
orhs`1`n`(%)->S2`dSuchThat(S1,S2)``1079783
orhs`1`x`(%)->F`dRewriteRule(Base,R,F)``1079839
orhs`1`x`(%)->S`dEquation(S)``1079910
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1079985
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1080099
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1080213
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1080430
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1080595
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1080812
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1080977
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1081245
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``1081513
oriemannZeta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1081562
oriemannZeta`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``1081621
oriemannZeta`1`x`(%)->%`cSpecialFunctionCategory``1081680
oright`1`n`(%)->%`dFreeMagma(VarSet)``1081739
oright`1`n`(%)->%`dLyndonWord(VarSet)``1081871
oright`1`n`(%)->%`dOutputForm``1082004
oright`1`x`(%)->%`cBinaryRecursiveAggregate(S)``1082073
oright`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1082121
oright`2`n`(%,Integer)->%`dOutputForm``1082196
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``1082284
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``1082505
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``1082726
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``1082886
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``1083253
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(%))->R`cFiniteRankNonAssociativeAlgebra(R)``1083620
orightDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1083928
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`1084134
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(%,%)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1084385
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(%,%)->Record(coef1:%,coef2:%,generator:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1084492
oright_ext_ext_GCD`2`n`(S,S)->Record(generator:S,coef1:S,coef2:S,coefu:S,coefv:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oright_ext_ext_GCD`2`x`(%,%)->Record(generator:%,coef1:%,coef2:%,coefu:%,coefv:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1084607
orightFactor`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1084824
orightFactorIfCan`3`x`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``1084977
orightFamily`1`n`(%)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``1085263
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1085326
orightIdentity`1`n`(%)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1085565
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1085631
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1085831
orightMinimization`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1086067
orightMult`2`n`(%,S)->%`dListMonoidOps(S,E,un)``1086239
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``1086364
orightOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Group)`1086464
orightOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Monoid)`1086523
orightPower`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
orightPower`2`x`(%,NonNegativeInteger)->%`cMagmaWithUnit``1086582
orightPower`2`x`(%,PositiveInteger)->%`cMagma``1086771
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1086960
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1087151
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`1087308
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``1087404
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`1087643
orightRecip`1`n`(S)->Union(S,"failed")`xAIntervalCategory&(S,R)``0
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
orightRecip`1`x`(%)->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1087882
orightRecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``1088098
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(%)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1088285
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`x`(%,Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1088459
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1088751
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``1088943
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``1089136
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``1089231
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1089515
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`x`(Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1089799
orightTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
orightTrim`2`x`(%,CharacterClass)->%`cStringAggregate``1090011
orightTrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1090203
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1090383
orightUnits`0`n`()->Union(Record(particular:%,basis:List(%)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``1090508
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`x`()->Union(Record(particular:%,basis:List(%)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1090631
orightZero`1`x`(%)->%`dEquation(S)`has(S,AbelianGroup)`1090755
orisch_de_ext`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``1090814
orischNormalize`2`x`(F,List(Symbol))->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1091083
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1091160
orischNormalize`2`x`(List(F),List(Symbol))->Record(funcs:List(F),kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1091444
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(%,%)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``1091657
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1091875
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1092501
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1092755
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1093085
ork4qc`14`x`(Vector(Float),Integer,Float,Record(to_try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1093574
ork4qc`7`x`(Vector(Float),Integer,Float,Record(to_try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1094064
ormap`2`x`((Kernel(F))->F,F)->F`pElementaryFunctionStructurePackage(R,F)``1094526
oroman`1`x`(Integer)->%`dRomanNumeral``1094634
oroman`1`x`(Symbol)->%`dRomanNumeral``1094695
oromberg`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1094763
orombergo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1095427
oroot?`1`n`(%)->Boolean`dSubSpace(n,R)``1096095
oroot`1`n`(%)->%`dOutputForm``1096132
oroot`2`n`(%,%)->%`dOutputForm``1096207
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->%`cPAdicIntegerCategory(p)``1096289
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1096418
orootFactor`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(R,UniqueFactorizationDomain),has(F,FunctionSpace(R)))`1096515
orootKerSimp`3`x`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1096753
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``1096822
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`x`(%)->%`cAlgebraicallyClosedFunctionSpace(R)``1097025
orootOf`1`x`(Polynomial(%))->%`cAlgebraicallyClosedField``1097149
orootOf`1`x`(SparseUnivariatePolynomial(%))->%`cAlgebraicallyClosedField``1097273
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1097341
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`x`(SparseUnivariatePolynomial(%),PositiveInteger)->Union(%,"failed")`cRealClosedField``1097455
orootOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedField``1097565
orootOf`2`x`(%,Symbol)->%`cAlgebraicallyClosedFunctionSpace(R)``1097679
orootOf`2`x`(ThePols,PositiveInteger)->Union(%,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1097793
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(%),PositiveInteger,OutputForm)->Union(%,"failed")`cRealClosedField``1097882
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``1097998
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``1098242
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1098407
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1098563
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``1098790
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``1099001
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1099125
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`x`(%)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1099352
orootsOf`1`x`(Polynomial(%))->List(%)`cAlgebraicallyClosedField``1099633
orootsOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cAlgebraicallyClosedField``1099911
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->List(%)`cAlgebraicallyClosedField``1100133
orootsOf`2`x`(%,Symbol)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1100373
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``1100613
orootSum`3`n`(F,SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1100840
orootSum`3`x`(%,SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedFunctionSpace(R)``0
orotate!`1`x`(%)->%`cQueueAggregate(S)``1100874
orotate`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1101070
orotate`3`x`(%,Integer,Integer)->Void`dThreeDimensionalViewport``1101307
orotatex`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1101663
orotatey`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1101761
orotatez`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1101859
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1101957
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1102113
oroughEqualIdeals?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughEqualIdeals?`2`x`(%,%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1102229
oroughSubIdeal?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughSubIdeal?`2`x`(%,%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1102422
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1102633
oround`1`n`(Record(mantissa:Integer,exponent:Integer))->Integer`pFloatElementaryFunctions``1102765
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(%)->%`cRealNumberSystem``1102825
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orouteArrows`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1102889
orouteArrowWeight`2`n`(%,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1103092
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orouteNodes`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1103199
orouteNodeWeight`2`n`(%,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1103400
orow`2`n`(%,Integer)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``1103506
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`x`(%,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1103589
orow`2`x`(%,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1103713
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1103830
orowEchelon`1`n`(Matrix(LO))->Matrix(LO)`pOrePolynomialMatrixOperations(F,LO)``1103935
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1104016
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1104149
orowEchelon`1`n`(%)->Record(Ech:%,Lt:Matrix(D),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)``1104230
orowEchelon`1`x`(%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,EuclideanDomain)`1104530
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1104611
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1104692
orowEchelon`3`n`(Matrix(LO),F,List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pOrePolynomialMatrixOperations(F,LO)``1104983
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1105199
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1105385
orowMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``1105549
orow_operation_base`6`n`(M,Integer,Integer,Integer,Integer,R)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1105657
orow_operation_modular`7`n`(M,Integer,Integer,Integer,Integer,R,Integer)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1105723
orows`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1105792
orows`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1105885
orowSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orowSlice`1`x`(%)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``1105978
orowSpan`1`n`(%)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1106124
orquo`2`n`(%,S)->Union(%,"failed")`dFreeMonoid(S)``1106277
orquo`2`n`(%,%)->Union(%,"failed")`dFreeMonoid(S)``1106360
orquo`2`x`(%,%)->%`cXFreeAlgebra(vl,R)``1106551
orquo`2`x`(%,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``1106640
orquo`2`x`(%,vl)->%`cXFreeAlgebra(vl,R)``1106723
orquo`2`x`(XRecursivePolynomial(VarSet,R),%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1106819
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1106902
orsimp1`2`n`(Expression(Integer),Integer)->Union(Expression(Integer),"failed")`pRootSimplification``1106993
orsimp`1`n`(Expression(Integer))->Union(Expression(Integer),"failed")`pRootSimplification``1107195
orspace`2`n`(Integer,Integer)->%`dOutputForm``1107334
orst`1`x`(%)->%`cLazyStreamAggregate(S)``1107426
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1107619
orule`2`x`(F,F)->%`dRewriteRule(Base,R,F)``1110042
orule`3`x`(F,F,List(Symbol))->%`dRewriteRule(Base,R,F)``1110181
orules`1`x`(%)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1110551
oruleset`1`x`(List(RewriteRule(Base,R,F)))->%`dRuleset(Base,R,F)``1110615
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1110695
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1110758
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1111856
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1112328
oS`0`n`()->%`dSKICombinators(UT)``1112477
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1112517
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1112652
osafety`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``1112803
osafety`1`x`(NonNegativeInteger)->%`dGuessOption``1112870
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1113024
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1113179
osameFace?`2`n`(%,%)->Boolean`dCubicalFacet``1113378
osameFace?`2`n`(%,%)->Boolean`dOrientedFacet``1113465
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xAIntervalCategory&(S,R)``0
osample`0`n`()->S`xMagmaWithUnit&(S)``0
osample`0`x`()->%`cAbelianMonoid``1113551
osample`0`x`()->%`cAggregate``1113598
osample`0`x`()->%`cMagmaWithUnit``1113645
osample`0`x`()->%`dCartesianTensor(minix,dim,R)``1113692
osample`0`x`()->%`dSymbol``1113745
osamplePoint`1`n`(%)->List(TheField)`dCell(TheField)``1113791
osamplePoint`1`n`(%)->TheField`dSimpleCell(TheField,ThePols)``1113857
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1113923
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1114033
osatisfy?`2`n`(%,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1114168
osaturate`2`x`(%,DPoly)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1114396
osaturate`3`x`(%,DPoly,List(VarSet))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1114542
osave`0`n`()->%`dFortranCode``1114707
osay`1`x`(List(String))->Void`pDisplayPackage``1114774
osay`1`x`(String)->Void`pDisplayPackage``1114839
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1114895
osayLength`1`x`(String)->Integer`pDisplayPackage``1114986
oscalar?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1115068
oscalar?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1115113
oscalarMatrix`1`x`(R)->%`cSquareMatrixCategory(ndim,R,Row,Col)``1115176
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->%`cMatrixCategory(R,Row,Col)``1115306
oscalarTypeOf`1`n`(%)->Union(fst:FortranScalarType,void:"void")`dFortranType``1115439
oscale`1`n`(F)->%`dMoebiusTransform(F)``1115511
oscale`2`n`(%,F)->%`dMoebiusTransform(F)``1115613
oscale`3`x`(R,R,R)->%`dDenavitHartenbergMatrix(R)``1115712
oscale`4`n`(%,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1115825
oscaleALS`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``1116133
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1116239
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1116341
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1116565
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1116956
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1117253
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1117544
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1117768
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1117935
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1118224
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``1118514
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``1118599
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``1118793
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1118921
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``1119585
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1119667
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1119774
oscreenCoords`1`n`(%)->List(DoubleFloat)`cSPointCategory``1120030
oscreenCoordX`1`n`(%)->DoubleFloat`cSPointCategory``1120099
oscreenCoordY`1`n`(%)->DoubleFloat`cSPointCategory``1120187
oscreenCoordZ`1`n`(%)->DoubleFloat`cSPointCategory``1120275
oscreenResolution`0`n`()->Integer`dPlot``1120365
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1120428
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1120501
oscreenResolution3D`0`n`()->Integer`dPlot3D``1120575
oscript`2`x`(%,List(List(OutputForm)))->%`dSymbol``1120656
oscript`2`x`(%,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->%`dSymbol``1120976
oscripted?`1`x`(%)->Boolean`dSymbol``1121159
oscripts`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1121241
oscripts`1`x`(%)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1121609
oscripts`2`n`(%,List(%))->%`dOutputForm``1121671
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1121885
osearch`2`x`(Key,%)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1121944
osearch_constructors`2`n`(String,Symbol)->Union(Record(categories:List(Symbol),domains:List(Symbol),packages:List(Symbol)),ErrorIndicator)`pBrowserInformation``1122144
osearch_documentation`1`n`(String)->Union(Record(con_info:Record(categories:List(Symbol),domains:List(Symbol),packages:List(Symbol)),op_info:List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))),ErrorIndicator)`pBrowserInformation``1122384
osearch_general`1`n`(String)->Union(Record(con_info:Record(categories:List(Symbol),domains:List(Symbol),packages:List(Symbol)),op_info:List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))),ErrorIndicator)`pBrowserInformation``1122508
osearch_operations`1`n`(String)->Union(List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))),ErrorIndicator)`pBrowserInformation``1122610
osearch_operations_libdb`1`n`(String)->Union(List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))),ErrorIndicator)`pBrowserInformation``1122698
osearch_opl`2`n`(String,List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))))->Union(List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))),ErrorIndicator)`pBrowserInformation``1122914
osec`1`n`(F)->F`pElementaryFunction(R,F)``1123009
osec`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
osec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1123070
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1123137
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1123204
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1123272
osec`1`x`(%)->%`cTrigonometricFunctionCategory``1123342
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1123395
osech`1`n`(F)->F`pElementaryFunction(R,F)``1123493
osech`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1123566
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1123649
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1123732
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1123812
osech`1`x`(%)->%`cHyperbolicFunctionCategory``1123894
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1123959
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1124061
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1124148
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`n`(%)->B`dProduct(A,B)``1124233
osecond`1`x`(%)->S`cUnaryRecursiveAggregate(S)``1124297
oseed`0`x`()->Integer`pRandomNumberSource``1124402
oseedRandom`0`x`()->Void`dInteger``1124455
oSEGMENT`1`n`(%)->%`dOutputForm``1124710
oSEGMENT`1`x`(S)->%`dUniversalSegment(S)``1124772
osegment`1`x`(S)->%`dUniversalSegment(S)``1124854
osegment`1`x`(%)->Segment(S)`dSegmentBinding(S)``1124936
oSEGMENT`2`n`(%,%)->%`dOutputForm``1125136
oSEGMENT`2`x`(S,S)->%`cSegmentCategory(S)``1125201
osegment`2`x`(S,S)->%`cSegmentCategory(S)``1125283
oselect`2`n`(%,NonNegativeInteger)->S`dTuple(S)``1125366
oselect`2`n`((P)->Boolean,S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect`2`n`(S,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`x`((S)->Boolean,%)->%`cCollection(S)`has(%,finiteAggregate)`1125463
oselect!`2`x`((S)->Boolean,%)->%`cDictionaryOperations(S)`has(%,finiteAggregate)`1125632
oselect!`2`x`((S)->Boolean,%)->%`cExtensibleLinearAggregate(S)``1125777
oselect`2`x`((S)->Boolean,%)->%`cLazyStreamAggregate(S)``1125891
oselect`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``1126066
oselect`2`x`(%,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``1126131
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1126235
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1126480
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1126723
osemicolonSeparate`1`n`(List(%))->%`dOutputForm``1126924
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1127027
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1127234
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1127385
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1127586
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1127782
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1127893
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1128044
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1128201
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1128410
osendGraphImage`1`n`(%)->Void`dGraphImage``1128659
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(%)->%`cDifferentialPolynomialCategory(R,S,V,E)``1128938
oseparate`1`n`(Fraction(UP))->Record(polyPart:%,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1129063
oseparate`1`n`(%)->List(%)`dSubSpace(n,R)``1129103
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`x`(%,%)->Record(primePart:%,commonPart:%)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`1129265
oseparate_factors`2`n`(List(()->List(PrimitiveArray(PrimeField(p)))),Integer)->List(UP)`pGaloisGroupFactorizerSeparate(p,UP)``0
osequence`1`n`(Stream(R))->%`cSequenceCategory(R)``1129428
osequence`2`n`((R)->R,R)->%`cSequenceCategory(R)``1129496
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1129648
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1129848
oserialize`1`n`(None)->None`pFileSerialization``1130202
oseries`1`n`(Stream(Coef))->%`dInnerTaylorSeries(Coef)``1130288
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->%`dInnerSparseUnivariatePowerSeries(Coef)``1130714
oseries`1`n`(Stream(SMP))->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``1130911
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1130984
oseries`1`x`(Stream(Coef))->%`cUnivariateTaylorSeriesCategory(Coef)``1131165
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->%`cUnivariateLaurentSeriesCategory(Coef)``1131259
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->%`cUnivariateTaylorSeriesCategory(Coef)``1131456
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1131653
oseries`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)``1131714
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1131797
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1131901
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->%`cUnivariatePuiseuxSeriesCategory(Coef)``1132142
oseries`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1132452
oseries`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``1132532
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1132717
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1132878
oseries`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``1133053
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1133279
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
oseriesSolve`2`n`((UTSSMPF)->UTSSMPF,List(F))->UTSF`pTaylorSolve(F,UTSF,UTSSMPF)``1133499
oseriesSolve`4`n`(F,BasicOperator,Symbol,List(F))->UTSF`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1133631
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1133868
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1133967
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1134351
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1134460
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1134567
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1134696
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1135075
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1135258
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1135461
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1135632
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->%`cSetAggregate(S)``1135732
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->%`cSetAggregate(S)``1135811
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1135921
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``1136034
osetchildren!`2`n`(A,List(A))->A`xBinaryRecursiveAggregate&(A,S)``0
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(%,List(%))->%`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1136153
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1136286
osetClosed`2`n`(%,Boolean)->Boolean`dTubePlot(Curve)``1136409
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(%,Integer,Col)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1136578
osetCondition!`2`n`(%,C)->%`dSplittingNode(V,C)``1136662
osetDefault!`2`n`((String)->OutputBox,(String)->OutputBox)->Record(prolog:(String)->OutputBox,epilog:(String)->OutputBox)`dFormatter(F)``1136806
osetDialect`1`n`(Symbol)->Symbol`dTexFormat``1136963
osetDifference`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1137178
osetelt!`2`n`(%,S)->S`dReference(S)``1137350
osetelt!`3`n`(A,"first",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"first",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt!`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"last",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"last",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"left",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"rest",A)->A`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"rest",A)->A`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"right",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,UniversalSegment(Integer),S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt!`3`n`(A,UniversalSegment(Integer),S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(%,NonNegativeInteger,F)->F`dFreeDivisionAlgebra(VAR,F)``1137432
osetelt!`3`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(%,shallowlyMutable)`1137523
osetelt!`3`x`(%,"first",S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1137707
osetelt!`3`x`(%,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1137821
osetelt!`3`x`(%,"last",S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1137932
osetelt!`3`x`(%,"left",%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1138043
osetelt!`3`x`(%,"rest",%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1138153
osetelt!`3`x`(%,"right",%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1138264
osetelt!`3`x`(%,Symbol,Any)->Any`dLibrary``1138377
osetelt!`3`x`(%,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(%,shallowlyMutable)`1138504
osetelt!`3`x`(%,"value",S)->S`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1138794
osetelt!`4`n`(%,Integer,C,D)->Void`dSparseEchelonMatrix(C,D)``1138906
osetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``1139055
osetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,XDistributedPolynomial(VAR,F))->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``1139215
osetelt!`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1139397
osetelt!`4`x`(%,Integer,List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1139573
osetelt!`4`x`(%,Integer,List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1139693
osetelt!`4`x`(%,List(Integer),Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1139901
osetelt!`4`x`(%,List(Integer),List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1140021
osetelt!`4`x`(%,List(Integer),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1140334
osetelt!`4`x`(%,List(Segment(Integer)),Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1140468
osetelt!`4`x`(%,List(Segment(Integer)),List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1140676
osetelt!`4`x`(%,List(Segment(Integer)),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1140876
osetelt!`4`x`(%,Segment(Integer),List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1141075
osetelt!`4`x`(%,Segment(Integer),List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1141209
osetelt!`4`x`(%,Segment(Integer),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1141408
osetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``1141550
osetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1141687
osetEmpty!`1`n`(%)->%`dSplittingNode(V,C)``1141852
osetEpilogue!`2`n`(%,List(String))->List(String)`dTexFormat``1141920
osetEpilogue!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1142020
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1142144
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1142436
osetfirst!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1142623
osetFormat!`1`n`(Type)->Void`pJFriCASSupport``1142746
osetFormat!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1142805
osetFormats!`1`n`(List(OutputFormatterCategory))->Void`dFormattedOutput``1142915
osetFormats!`1`n`(List(Type))->Void`pJFriCASSupport``1143026
osetGcdMode`1`n`(Symbol)->Symbol`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`1143294
osetHandler!`4`n`(%,Integer,String,HANDLER)->HANDLER`dOperatorHandlers(HANDLER)``1143476
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1143606
osetIntersection`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1143757
osetLabelValue`1`n`(SingleInteger)->SingleInteger`dFortranCode``1143937
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1144021
osetleaves!`2`x`(%,List(S))->%`dBalancedBinaryTree(S)``1144142
osetleft!`2`x`(%,%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1144255
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1144332
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1144418
osetMinPoints`1`n`(Integer)->Integer`dPlot``1144507
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1144593
osetMode`2`x`(String,Boolean)->Boolean`dCliffordAlgebra(n,K,bLin)``1144682
osetMult`2`n`(%,Integer)->%`dCubicalFacet``1144778
osetMult!`2`n`(%,Integer)->%`dOrientedFacet``1144809
osetMult!`2`n`(%,Integer)->%`dProductFacet``1144840
osetnext!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`1144871
osetNotation`1`n`(Symbol)->Symbol`cJetBundleCategory``1145002
osetNotation`1`n`(Symbol)->Void`cJetBundleFunctionCategory(JB)``0
osetNotation`1`n`(Symbol)->Void`xJetBundleFunctionCategory&(S,JB)``0
osetOfMinN`1`n`(List(PositiveInteger))->%`dSetOfMIntegersInOneToN(m,n)``1145097
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1145260
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1145619
osetOutMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1146049
oset_output_mode`2`x`(String,Integer)->Void`dFloat``1146576
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1146662
osetPosition`2`x`(%,NonNegativeInteger)->Void`cCachableSet``1146727
osetPredicates`2`n`(%,List(Any))->%`dPattern(R)``1146804
osetprevious!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`1146918
osetPrologue!`2`n`(%,List(String))->List(String)`dTexFormat``1147057
osetPrologue!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1147157
osetProperties`2`x`(%,AssociationList(Symbol,None))->%`dBasicOperator``1147281
osetProperty`3`x`(%,Symbol,None)->%`dBasicOperator``1147443
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1147630
osetRedMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1147776
osetref`2`n`(%,S)->S`dReference(S)``1148070
osetRefined!`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1148127
osetrest!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1148268
osetrest!`3`x`(%,Integer,%)->%`dStream(S)``1148381
osetright!`2`x`(%,%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1148502
osetRow!`3`n`(%,Integer,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``1148581
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`x`(%,Integer,Row)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1148697
osetRow!`4`n`(%,Integer,List(C),List(D))->Void`dSparseEchelonMatrix(C,D)``1148775
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1148921
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1148997
osetSimplifyDenomsFlag`1`x`(Boolean)->Boolean`dExpression(R)`has(R,IntegralDomain)`1149091
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``1149281
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1149561
osetStatus!`2`n`(%,Boolean)->%`dSplittingNode(V,C)``1149678
osetStatus`2`n`(%,Union(Boolean,"failed"))->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1149816
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(%,Integer,Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1150154
osetsubMatrix!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Matrix(R))->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1150366
osetsubPencil!`4`n`(%,NonNegativeInteger,NonNegativeInteger,%)->%`dLinearMultivariateMatrixPencil(R)``1150497
osetTex!`2`n`(%,List(String))->List(String)`dTexFormat``1150637
osetTopPredicate`3`n`(%,List(Symbol),Any)->%`dPattern(R)``1150727
osetTransform!`2`n`(%,STransform(PT))->Void`dScene(PT)``1150854
osetUnion`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1150950
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetValue!`2`n`(%,V)->%`dSplittingNode(V,C)``1151117
osetvalue!`2`x`(%,S)->S`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1151253
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1151328
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1151465
oSFunction`1`x`(List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1151645
osh`2`x`(%,%)->%`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1151806
osh`2`x`(%,NonNegativeInteger)->%`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1151934
oshade`1`n`(Point(R))->R`pPointPackage(R)``1152012
oshade`1`x`(%)->Integer`dPalette``1152335
oshallowCopy`1`n`(%)->%`dSubSpace(n,R)``1152417
oshallowExpand`1`x`(%)->OutputForm`dFreeNilpotentLie(n,class,R)``1152460
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1152570
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1152846
oShi`1`n`(F)->F`pLiouvillianFunction(R,F)``1152969
oShi`1`x`(%)->%`cLiouvillianFunctionCategory``1153027
oShi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``1153155
oShi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oShi`1`x`(Float)->Float`pFloatLiouvilianFunctions``1153213
oshift`1`n`(F)->%`dMoebiusTransform(F)``1153271
oshift`2`n`(%,F)->%`dMoebiusTransform(F)``1153373
oshift`2`x`(%,%)->%`cIntegerNumberSystem``1153472
oshift`2`x`(%,Integer)->%`dFloat``1153533
oshift`2`x`(%,Integer)->%`dNonNegativeInteger``1153608
oShiftAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``1153667
oShiftC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``1153892
oshiftHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oshiftHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``1154194
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`1154303
oshiftLeft`1`n`(List(T))->List(T)`pListPackage(T)``1154476
oshiftLeft`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)``1154582
oshift_mat!`3`n`(MMT,Integer,Integer)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1154646
oshift_mat!`4`n`(U32Matrix,Integer,Integer,Integer)->Void`pModularU32MatrixOperations``1154867
oshiftRight`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`1155038
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1155124
oshow`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1155239
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1155480
oshowAllElements`1`x`(%)->OutputForm`dStream(S)`has(S,SetCategory)`1155579
oshowArrayValues`1`n`(Boolean)->Boolean`dResult``1155673
oshowClipRegion`2`x`(%,String)->Void`dThreeDimensionalViewport``1155807
oshowElements`2`x`(NonNegativeInteger,%)->OutputForm`dStream(S)`has(S,SetCategory)`1156052
oshowFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``1156160
oshowRegion`2`x`(%,String)->Void`dThreeDimensionalViewport``1156232
oshowScalarValues`1`n`(Boolean)->Boolean`dResult``1156467
oshowTheSymbolTable`0`n`()->%`dTheSymbolTable``1156603
oshowTypeInOutput`1`x`(Boolean)->String`dAny``1156672
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1156943
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1157063
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1157271
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``1157410
oSi`1`x`(%)->%`cLiouvillianFunctionCategory``1157463
oSi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``1157585
oSi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oSi`1`x`(Float)->Float`pFloatLiouvilianFunctions``1157638
osierpinskiDivide`2`n`(%,NonNegativeInteger)->%`dSceneIFS(PT)``1157691
oSigma`0`n`()->Symbol`pMathematicalSymbols``1157869
osigma`0`n`()->Symbol`pMathematicalSymbols``1157938
osign`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1158005
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1158057
osign`1`n`(S)->Integer`xOrderedAbelianGroup&(S)``0
osign`1`x`(%)->%`cSpecialFunctionCategory``1158093
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1158145
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1158225
osign`1`x`(%)->Integer`cOrderedAbelianGroup``1158461
osign`1`x`(%)->Integer`dPermutation(S)``1158572
osign`2`x`(ThePols,%)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1158666
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1158754
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1158883
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1159007
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1159225
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1159379
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1159427
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1159475
osimpleCells`1`n`(%)->List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)))`dCell(TheField)``1159526
osimplicialComplex`1`n`(List(VS))->%`dFiniteSimplicialComplex(VS)``1159658
osimplicialComplex`2`n`(List(VS),List(List(NonNegativeInteger)))->%`dFiniteSimplicialComplex(VS)``1159689
osimplicialComplex`3`n`(List(VS),NonNegativeInteger,List(List(NonNegativeInteger)))->%`dFiniteSimplicialComplex(VS)``1159741
osimplicialComplexIfCan`1`n`(DeltaComplex(VS))->Union(%,"failed")`dFiniteSimplicialComplex(VS)``1159793
osimplicialComplexIfCan`2`n`(DeltaComplex(VS),Boolean)->Union(%,"failed")`dFiniteSimplicialComplex(VS)``1159970
osimplicialJoin`3`n`(%,%,Boolean)->%`dFiniteSimplicialComplex(VS)``1160158
osimplify`1`n`(%)->%`dGroupPresentation``1160550
osimplify`1`n`(%)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1161082
osimplify`1`n`(%)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``1161382
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1161571
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1161635
osimplify`2`n`(%,Boolean)->%`dGroupPresentation``1162097
osimplify`2`n`(List(%),SparseEchelonMatrix(JB,%))->Record(Sys:List(%),JM:SparseEchelonMatrix(JB,%),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1162134
osimplify`2`n`(List(S),SparseEchelonMatrix(JB,S))->Record(Sys:List(S),JM:SparseEchelonMatrix(JB,S),Depend:Union("failed",List(List(NonNegativeInteger))))`xJetBundleFunctionCategory&(S,JB)``0
osimplifyCoeffs`2`n`(Record(ncurve:UPUP,n_div_numer:Vector(UPUP),n_div_denom:UPUP,need_change:Boolean),List(Kernel(F)))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)`AND(has(R0,CharacteristicZero),has(F,AlgebraicallyClosedField))`1162577
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1162646
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1162975
osimpMod`2`n`(List(%),List(%))->List(%)`cJetBundleFunctionCategory(JB)``1163184
osimpMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osimpMod`3`n`(List(%),SparseEchelonMatrix(JB,%),List(%))->Record(Sys:List(%),JM:SparseEchelonMatrix(JB,%),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1163283
osimpMod`3`n`(List(S),SparseEchelonMatrix(JB,S),List(S))->Record(Sys:List(S),JM:SparseEchelonMatrix(JB,S),Depend:Union("failed",List(List(NonNegativeInteger))))`xJetBundleFunctionCategory&(S,JB)``0
osimpOne`1`n`(%)->%`cJetBundleFunctionCategory(JB)``1163431
osimpOne`1`n`(S)->S`xJetBundleFunctionCategory&(S,JB)``0
osimp_ops_conditions`3`n`(List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))),SExpression,SExpression)->List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))`pBrowserInformation``1163522
osimpson`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1163690
osimpsono`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1164354
osin?`1`n`(%)->Boolean`dFourierComponent(E)``1165022
osin`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1165105
osin`1`n`(E)->%`dFourierComponent(E)``1165172
osin`1`n`(F)->F`pElementaryFunction(R,F)``1165238
osin`1`n`(S)->S`xComplexCategory&(S,R)``0
osin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1165297
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1165362
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1165427
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1165493
osin`1`x`(%)->%`cTrigonometricFunctionCategory``1165561
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1165612
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1165710
osingleFace`1`n`(List(PT))->%`dSceneIFS(PT)``1165812
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1165909
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1166095
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1166349
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1166810
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1167369
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1167436
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1167506
osinh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1167587
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1167656
osinh`1`n`(S)->S`xComplexCategory&(S,R)``0
osinh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1167727
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1167808
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1167889
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1167967
osinh`1`x`(%)->%`cHyperbolicFunctionCategory``1168047
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1168110
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1168212
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1168327
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1168414
osipnt`2`n`(Integer,Integer)->%`cSPointCategory``1168499
osipnt`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`3`n`(Integer,Integer,Integer)->%`cSPointCategory``1168589
osipnt`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osivec`2`n`(Integer,Integer)->%`cSPointCategory``1168692
osivec`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osivec`3`n`(Integer,Integer,Integer)->%`cSPointCategory``1168783
osivec`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osize`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
osize`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
osize`0`n`()->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
osize`0`n`()->NonNegativeInteger`xFramedModule&(S,R)``0
osize`0`n`()->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osize`0`x`()->Integer`pRandomNumberSource``1168887
osize`0`x`()->NonNegativeInteger`cFinite``1168951
osize`1`n`(%)->NonNegativeInteger`dFreeGroup(S)``1169015
osize`1`n`(%)->NonNegativeInteger`dFreeMonoid(S)``1169082
osize`1`n`(%)->NonNegativeInteger`dListMonoidOps(S,E,un)``1169149
osize`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1169221
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osize?`2`x`(%,NonNegativeInteger)->Boolean`cAggregate``1169263
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(%,%)->Boolean`cEuclideanDomain``1169338
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1169552
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1169732
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1169912
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1170092
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1170195
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1170291
oski`1`n`(UT)->%`dSKICombinators(UT)``1170480
oski`2`n`(%,%)->%`dSKICombinators(UT)``1170518
oslash`2`n`(%,%)->%`dOutputForm``1170571
oslash`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1170667
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1170920
osmaller?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xFreeModuleCategory&(A,R,S)``0
osmaller?`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
osmaller?`2`n`(%,%)->Boolean`cComparable``1171112
osmaller?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
osmaller?`2`n`(S,S)->Boolean`xFinite&(S)``0
osmaller?`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
osmaller?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
osmaller?`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osmesh`2`n`(List(List(PT)),Boolean)->%`dSceneIFS(PT)``1171196
osmith`1`n`(Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1171307
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1171369
osmith`2`n`(Matrix(Integer),(Matrix(Integer))->Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1171446
osn2`2`x`(Complex(Float),List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``1171589
osn2`2`x`(Float,List(Float))->Float`pFloatEllipticFunctions``1171610
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1171631
osolid?`1`n`(%)->Boolean`dSubSpaceComponentProperty``1171678
osolid`2`n`(%,Boolean)->Boolean`dSubSpaceComponentProperty``1171716
osolutionVector`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1171756
osolutionVector`2`n`(%,NonNegativeInteger)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1171861
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1172017
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1172273
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1172453
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1172490
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1172700
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1172830
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1173029
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1173166
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1173319
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1173459
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1173635
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1173750
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1173864
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1174047
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1174248
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1174360
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1174539
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1174750
osolve`2`x`(List(Equation(Expression(R))),List(Expression(R)))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1174885
osolve`2`x`(List(Equation(Expression(R))),List(Kernel(Expression(R))))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1175109
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1175248
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1175387
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1175587
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1175739
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1175950
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1176089
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1176300
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1176446
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1176657
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1176774
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1176920
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1177066
osolve`3`n`(Matrix(F),List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F)))`pSystemODESolver(F,LO)``1177277
osolve`3`n`(Matrix(F),Vector(F),(LO,F)->Union(Record(particular:F,basis:List(F)),"failed"))->Union(Record(particular:Vector(F),basis:Matrix(F)),"failed")`pSystemODESolver(F,LO)``1177371
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1177789
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1178562
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1179284
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1179832
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1180222
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1180612
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1180926
osolve`4`n`(Matrix(LO),F,List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Union(Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F))),"failed")`pOrePolynomialMatrixOperations(F,LO)``1181165
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1181723
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1182000
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1182277
osolveFor`2`n`(%,JB)->Union(%,"failed")`cJetBundleFunctionCategory(JB)``1182507
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1182597
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1182778
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1182928
osolveInField`3`n`(Matrix(LO),List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F)))`pSystemODESolver(F,LO)``1183074
osolveInField`3`n`(Matrix(LO),Vector(F),(LO,F)->Record(particular:Union(F,"failed"),basis:List(F)))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pSystemODESolver(F,LO)``1183182
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(S)),"failed"),basis:List(Vector(Fraction(S))))`pLinearDependence(S,R)`NOT(has(S,Field))`1183583
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1183769
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(Fraction(S)),"failed"),basis:List(Vector(Fraction(S))))`pLinearDependence(S,R)`NOT(has(S,Field))`1183955
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1184141
osolveLinearlyOverQ`2`x`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1184327
osolveLinearlyOverQ`2`x`(Vector(R),R)->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1184520
osolveLinearOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1184713
osolveLinearOverConstants`3`n`(Vector(F),F,List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1184920
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1185127
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1185386
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1185695
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xComplexCategory&(S,R)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xPolynomialFactorizationExplicit&(S)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xUnivariatePolynomialCategory&(S,R)``0
osolveLinearPolynomialEquation`2`x`(List(SparseUnivariatePolynomial(%)),SparseUnivariatePolynomial(%))->Union(List(SparseUnivariatePolynomial(%)),"failed")`cPolynomialFactorizationExplicit``1185954
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1186213
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1186461
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1186864
osolve_u`3`n`(F,F,Symbol)->Union(List(List(F)),"failed")`pDenominatorIntegration(R,F)``1187118
osolveUniquely`2`n`(Matrix(S),Vector(S))->Union(Vector(S),"failed")`pLinearSystemMatrixPackage2(S)``1187314
osomeBasis`0`x`()->Vector(%)`cFiniteRankNonAssociativeAlgebra(R)``1187458
oSomos`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``1187520
oSomos`1`x`(Union(PositiveInteger,Boolean))->%`dGuessOption``1187619
osort!`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort!`1`n`(A)->A`xListAggregate&(A,S)``0
osort!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort`1`n`(%)->%`dFiniteSimplicialComplex(VS)``1187837
osort!`1`x`(%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable),has(S,OrderedSet))`1187849
osort`1`x`(%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`1187927
osort`1`x`(List(%))->List(%)`dPermutation(S)``1188038
osort!`2`n`((S,S)->Boolean,A)->A`xLinearAggregate&(A,S)``0
osort`2`n`((S,S)->Boolean,A)->A`xLinearAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xListAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort!`2`x`((S,S)->Boolean,%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable))`1188318
osort`2`x`((S,S)->Boolean,%)->%`cLinearAggregate(S)`has(%,finiteAggregate)`1188400
osort`2`x`(%,VarSet)->Record(under:%,floor:%,upper:%)`cPolynomialSetCategory(R,E,VarSet,P)``1188500
osorted?`1`n`(A)->Boolean`xLinearAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xListAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`1`x`(%)->Boolean`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`1188683
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xLinearAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xListAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`2`x`((S,S)->Boolean,%)->Boolean`cLinearAggregate(S)`has(%,finiteAggregate)`1188766
osortedPurge!`2`n`(%,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``1188855
osortLD`1`n`(List(%))->List(%)`cJetBundleFunctionCategory(JB)``1189008
osortLD`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
ospace`0`x`()->%`dCharacter``1189108
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1189160
ospace`1`x`(ThreeSpace(DoubleFloat))->%`dDrawOption``1189350
ospanningForestArrow`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestArrow`1`n`(%)->List(Tree(Integer))`cFiniteGraph(S)``1189461
ospanningForestNode`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestNode`1`n`(%)->List(Tree(Integer))`cFiniteGraph(S)``1189542
ospanningTreeArrow`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeArrow`2`n`(%,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1189623
ospanningTreeNode`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeNode`2`n`(%,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1190090
oSPDE1`3`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))`pRDEaux(F)``1190463
ospecialise`2`n`(List(Polynomial(TheField)),Cell(TheField))->List(SparseUnivariatePolynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``1190884
ospecial_order`2`n`(S,List(UP))->Integer`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ospecial_order`2`x`(%,List(UP))->Integer`cFunctionFieldCategory(F,UP,UPUP)``1190987
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``1191193
osphereSolid`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1191258
osphereSolid`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1191419
osphereSurface`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1191586
osphereSurface`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1191757
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1191961
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1192221
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1192405
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1192589
osplit!`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit`2`n`(P,(P)->P)->Record(normal:P,special:P)`pParallelIntegrationTools(R,V,P)``1192680
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1192914
osplit`2`x`(%,CharacterClass)->List(%)`cStringAggregate``1193149
osplit`2`x`(%,Character)->List(%)`cStringAggregate``1193243
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1193331
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1194118
osplit!`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1194263
osplit`2`x`(S,%)->Record(less:%,greater:%)`dBinarySearchTree(S)``1194572
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1194746
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1194869
osplitDenominator`1`n`(P)->Record(num:P,den:R)`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``1195048
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1195200
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1195379
osplitDenominator`1`x`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``1195527
osplitList`2`n`((T)->Boolean,List(T))->Record(yes:List(T),no:List(T))`pListPackage(T)``1195733
osplit_mat!`6`n`(MMT,Integer,Integer,Integer,PMD,PMD)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1195861
osplitNodeOf!`3`n`(%,%,List(SplittingNode(V,C)))->%`dSplittingTree(V,C)``1196222
osplitNodeOf!`4`n`(%,%,List(SplittingNode(V,C)),(C,C)->Boolean)->%`dSplittingTree(V,C)``1196464
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1196721
ospnt`2`n`(DoubleFloat,DoubleFloat)->%`cSPointCategory``1197028
ospnt`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->%`cSPointCategory``1197118
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1197221
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1197254
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1197266
osqfrFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``1197345
osqrt`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1197498
osqrt`1`n`(%)->%`dInnerPrimeField(p)``1197567
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(S)->S`xComplexCategory&(S,R)``0
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`x`(%)->%`cComplexCategory(R)`AND(has(R,Field),has(R,OrderedRing),has(R,RadicalCategory))`1197831
osqrt`1`x`(%)->%`cRadicalCategory``1197969
osqrt`1`x`(%)->%`cRealClosedField``1198107
osqrt`1`x`(%)->%`dPrimeField(p)``1198149
osqrt`1`x`(Fraction(Integer))->%`cRealClosedField``1198317
osqrt`1`x`(Integer)->%`cRealClosedField``1198359
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(%,Integer)->%`cPAdicIntegerCategory(p)``1198401
osqrt`2`x`(%,PositiveInteger)->%`cRealClosedField``1198524
osquare?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osquare?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osquare?`1`x`(%)->Boolean`cMatrixOperationsCategory(R,Row,Col)``1198569
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1198744
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1198830
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1198936
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1199112
osquareFree`1`n`(S)->Factored(S)`xComplexCategory&(S,R)``0
osquareFree`1`n`(S)->Factored(S)`xField&(S)``0
osquareFree`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
osquareFree`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFree`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``1199300
osquareFree`1`x`(%)->Factored(%)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1199474
osquareFree`1`x`(%)->Factored(%)`cUniqueFactorizationDomain``1199568
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1199753
osquareFreeBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``1200082
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1200188
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1200281
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1200678
osquareFreePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFreePart`1`n`(S)->S`xUniqueFactorizationDomain&(S)``0
osquareFreePart`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePart`1`x`(%)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1200847
osquareFreePart`1`x`(%)->%`cUniqueFactorizationDomain``1200983
osquareFreePart`2`x`(P,%)->List(Record(val:P,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``1201096
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(%))->Factored(SparseUnivariatePolynomial(%))`cPolynomialFactorizationExplicit``1201587
osquareMatrix`1`n`(Matrix(R))->%`dSquareMatrix(ndim,R)``1201702
osquareTop`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osquareTop`1`x`(%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1201821
ostack`1`x`(List(S))->%`dStack(S)``1201992
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1202136
ostar`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``1202801
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1202914
ostarts`1`n`(List(Boolean))->%`dBitStreamFrame``1203356
ostarts`1`n`(String)->%`dBitStreamFrame``1203384
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1203452
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1203577
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1203676
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1203775
ostartTableGcd!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostartTableInvSet!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1203874
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostatement2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``1203976
ostatistics`0`n`()->Void`dJetLazyFunction(JB,D)``1204012
ostatistics`0`n`()->Void`pUnittestCount``1204222
ostatus`1`n`(%)->Boolean`dSplittingNode(V,C)``1204363
ostatus`1`n`(%)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1204428
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1204566
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1204700
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1204834
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1204968
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1205068
ostirling`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1205170
ostop`0`n`()->%`dFortranCode``1205255
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1205322
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1205594
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1205887
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1205975
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1206063
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1206151
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseIntegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?_reg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet_reg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet_sqfreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?_sqfreg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
oSTransform1`1`x`(Distribution(R))->UTSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``1206242
ostransform`1`n`((Complex(DoubleFloat))->Complex(DoubleFloat))->%`dSTransform(PT)``1206390
ostransform`1`n`(List(DoubleFloat))->%`dSTransform(PT)``1206573
ostransform`1`n`(List(List(DoubleFloat)))->%`dSTransform(PT)``1206641
ostransform`1`n`((PT)->PT)->%`dSTransform(PT)``1206717
oSTransform`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``1206824
oSTransform2`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``1206921
ostranslate`6`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->%`dSTransform(PT)``1207038
ostream`1`n`(%)->Stream(R)`cSequenceCategory(R)``1207308
ostream`1`x`(()->S)->%`dStream(S)``1207358
ostream`2`x`((S)->S,S)->%`dInfiniteTuple(S)``1207503
ostream`2`x`((S)->S,S)->%`dStream(S)``1207570
ostring?`1`n`(OutputForm)->Boolean`pOutputFormTools``1207798
ostring`1`n`(OutputForm)->String`pOutputFormTools``1207884
ostring?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1207997
ostring`1`x`(Integer)->%`cStringCategory``1208086
ostring`1`x`(%)->Str`cSExpressionCategory(Str,Sym,Int,Flt)``1208170
ostring`1`x`(%)->String`dSymbol``1208307
ostripCommentsAndBlanks`1`n`(String)->String`pTemplateUtilities``1208410
ostrongGenerators`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``1208549
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1208634
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``1208876
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``1209021
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1209130
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1209381
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`x`(List(Matrix(R)))->Vector(Matrix(R))`pStructuralConstantsPackage(R)``1209632
ostructuralConstants`1`x`(Vector(%))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1209911
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1210178
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1210607
ostruveH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1211036
ostruveH`2`x`(%,%)->%`cSpecialFunctionCategory``1211097
ostruveL`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1211158
ostruveL`2`x`(%,%)->%`cSpecialFunctionCategory``1211307
ostube`3`n`(List(Record(source:(DoubleFloat)->PT,ranges:List(Segment(DoubleFloat)),knots:List(DoubleFloat),points:List(PT))),DoubleFloat,Integer)->%`dSceneIFS(PT)``1211456
oSturmHabicht`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)``1211567
oSturmHabichtCoefficients`2`x`(UP,UP)->List(R)`pSturmHabichtPackage(R,UP)``1211860
oSturmHabichtMultiple`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`1211984
oSturmHabichtSequence`2`x`(UP,UP)->List(UP)`pSturmHabichtPackage(R,UP)``1212285
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1212391
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1212450
ostyle`1`x`(String)->%`dDrawOption``1212594
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1212770
osub1!`2`n`(PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1212967
osub`2`n`(%,%)->%`dOutputForm``1213040
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1213117
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1213212
osubdiagramSvg`4`n`(Scene(SCartesian(2)),A,Boolean,Boolean)->Void`xFiniteGraph&(A,S)``0
osubdiagramSvg`4`n`(Scene(SCartesian(2)),%,Boolean,Boolean)->Void`cFiniteGraph(S)``1213307
osubdivide`1`n`(%)->%`dSceneIFS(PT)``1213580
osublis_formal`2`n`(List(SExpression),SExpression)->SExpression`pBrowserInformation``1213730
osubMatrix`3`n`(M,List(Integer),List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1213853
osubMatrix`3`n`(M,Segment(Integer),Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1213962
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osubMatrix`5`x`(%,Integer,Integer,Integer,Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1214071
osubMatrix`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1214273
osubmod`3`x`(%,%,%)->%`cIntegerNumberSystem``1214403
osubNode?`3`n`(%,%,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1214478
osubNodeOf?`3`n`(SplittingNode(V,C),%,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1214610
osubordinationConvolution`2`n`(%,%)->%`cDistributionCategory(R)``1214780
osubPencil`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``1214906
osubPencil`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1215026
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1215130
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1215228
osub_poly`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1215326
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1215417
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1215556
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1215695
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1215844
osubResultantChain`2`x`(%,%)->List(%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1216008
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1216190
osubResultantGcd`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1216301
osubResultantGcd`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1216630
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1216776
osubresultants`2`n`(UP,UP)->IndexedVector(UP,0)`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
osubresultants`2`n`(UP,UP)->IndexedVector(UP,Zero)`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`1216982
osubResultantsChain`2`n`(%,%)->List(%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1217119
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1217260
osubscript`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1217446
osubscript`2`x`(%,List(OutputForm))->%`dSymbol``1217754
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(%,%)->Boolean`cSetAggregate(S)``1217850
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1218011
osubsetLattice`1`n`(List(S))->%`dSubsetLattice(S,top)``1218343
osubspace`0`n`()->%`dSubSpace(n,R)``1218383
osubspace`1`x`(%)->SubSpace(3,R)`cThreeSpaceCategory(R)``1218422
osubspace`1`x`(%)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1218558
osubspace?`2`n`(%,%)->Boolean`dVectorSpaceBasis(R)``1218738
osubspace`2`x`(%,ThreeSpace(DoubleFloat))->%`dThreeDimensionalViewport``1218822
osubst`2`n`(S,Equation(S))->S`xExpressionSpace2&(S,K)``0
osubst`2`n`(S,Equation(S))->S`xFunctionSpace2&(S,R,K)``0
osubst`2`n`(S,List(Equation(S)))->S`xExpressionSpace2&(S,K)``0
osubst`2`n`(S,List(Equation(S)))->S`xFunctionSpace2&(S,R,K)``0
osubst`2`x`(%,%)->%`dEquation(S)`has(S,ExpressionSpace)`1219027
osubst`2`x`(%,Equation(%))->%`cExpressionSpace2(K)``1219158
osubst`2`x`(%,List(Equation(%)))->%`cExpressionSpace2(K)``1219251
osubst`3`n`(%,%,%)->%`dLambda(UT)``1219397
osubst`3`n`(%,JB,%)->%`cJetBundleFunctionCategory(JB)``1219453
osubst`3`n`(S,List(K),List(S))->S`xExpressionSpace2&(S,K)``0
osubst`3`n`(S,List(K),List(S))->S`xFunctionSpace2&(S,R,K)``0
osubst`3`x`(%,List(K),List(%))->%`cExpressionSpace2(K)``1219565
osubstHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``1219714
osubstitute`3`n`(S,S,%)->%`dListMultiDictionary(S)``1219830
osubstring?`3`x`(%,%,Integer)->Boolean`cStringAggregate``1219938
osubst_var`3`n`(%,List(Symbol),List(Symbol))->%`dFakePolynomial``0
osubst_vars`3`n`(PT,List(Symbol),List(Symbol))->MP`cModularEvaluationCategory(PT,MP)``1220096
osubSylvesterMatrix`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubSylvesterMatrix`2`n`(M,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1220222
osubSylvesterMatrix`3`n`(Matrix(R),NonNegativeInteger,NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubSylvesterMatrix`3`n`(M,NonNegativeInteger,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1220316
osubtract`2`n`(%,%)->%`dOrientedFacet``1220392
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(%,%)->Union(%,"failed")`cCancellationAbelianMonoid``1220469
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1220593
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1220687
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1220781
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1220899
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1221052
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1221158
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1221321
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1221392
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1221519
osuchThat`3`x`(%,List(Symbol),(List(F))->Boolean)->%`dRewriteRule(Base,R,F)``1221649
osufactor`1`n`(SparseUnivariatePolynomial(F))->Record(cont:F,factors:List(Record(factor:SparseUnivariatePolynomial(F),exponent:NonNegativeInteger)))`pUnivariateFiniteFieldFactorize(F,UP)``1221784
osufactor_square_free`1`n`(SparseUnivariatePolynomial(F))->List(SparseUnivariatePolynomial(F))`pUnivariateFiniteFieldFactorize(F,UP)``1221850
osuffix?`2`x`(%,%)->Boolean`cStringAggregate``1221958
osu_irreducible?`1`n`(SparseUnivariatePolynomial(F))->Boolean`pUnivariateFiniteFieldFactorize(F,UP)``1222218
osum`1`n`(%)->%`dOutputForm``1222325
osum`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1222408
osum`2`n`(%,%)->%`dOutputForm``1222603
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1222716
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1222892
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1222967
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1223145
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1223250
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1223350
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1223425
osum`3`n`(%,%,%)->%`dOutputForm``1223603
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1223755
osumBasis`1`n`(List(%))->%`dVectorSpaceBasis(R)``1223832
osumBasis`1`n`(List(List(Vector(R))))->%`dVectorSpaceBasis(R)``1223983
osumBasis`2`n`(%,%)->%`dVectorSpaceBasis(R)``1224166
osumBasis`2`n`(List(Vector(R)),List(Vector(R)))->%`dVectorSpaceBasis(R)``1224247
osummands`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``1224382
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1224514
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1224618
osummation`2`x`(%,SegmentBinding(%))->%`cCombinatorialOpsCategory``1224772
osummation`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``1224876
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1225030
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1225224
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1225481
osunion`2`n`(%,%)->%`dSBoundary(PT)``1225714
osup`1`n`(%)->R`cAIntervalCategory(R)``1225941
osup`2`x`(%,%)->%`cOrderedAbelianMonoidSup``1225996
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1226103
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1226301
osuper`2`n`(%,%)->%`dOutputForm``1226500
osuperscript`2`x`(%,List(OutputForm))->%`dSymbol``1226581
osupersub`2`n`(%,List(%))->%`dOutputForm``1226681
osupport`1`n`(A)->List(S)`xFreeModuleCategory&(A,R,S)``0
osupport`1`x`(%)->List(S)`cFreeModuleCategory(R,S)``1226809
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``1226896
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->%`dParametricSurface(ComponentFunction)``1227066
osvec`2`n`(DoubleFloat,DoubleFloat)->%`cSPointCategory``1227193
osvec`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->%`cSPointCategory``1227284
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1227388
oswap`1`x`(%)->%`dEquation(S)``1227454
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(%,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(%,shallowlyMutable)`1227538
oswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1227667
oswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1227767
oswapColumns!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(%,Integer,Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1227890
oswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1228027
oswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1228121
oswapRows!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(%,Integer,Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1228238
oswapRowsColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1228369
osylvesterMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1228504
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1228624
osymbol?`1`n`(%)->Boolean`dPattern(R)``1228756
osymbol`1`n`(List(%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``1228812
osymbol`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
osymbol?`1`n`(OutputForm)->Boolean`pOutputFormTools``1228906
osymbol`1`n`(OutputForm)->Symbol`pOutputFormTools``1228992
osymbol?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1229105
osymbol`1`x`(%)->Sym`cSExpressionCategory(Str,Sym,Int,Flt)``1229194
osymbolIfCan`1`n`(%)->Union(Symbol,"failed")`cKernelCategory(S)``1229331
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->%`dSymbolTable``1229445
osymbolTableOf`2`n`(Symbol,%)->SymbolTable`dTheSymbolTable``1229528
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1229601
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1229790
osymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osymmetric?`1`x`(%)->Boolean`cMatrixOperationsCategory(R,Row,Col)``1229916
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(%,%)->%`cSetAggregate(S)``1230114
osymmetricGroup`1`n`(PositiveInteger)->%`dGroupPresentation``1230482
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1230625
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1230894
osymmetricPower`2`x`(%,NonNegativeInteger)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1231088
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1231274
osymmetricProduct`2`x`(%,%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1231498
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1231704
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(%,%)->%`cIntegerNumberSystem``1231948
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1232054
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1232157
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1232713
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1233236
oT$`0`n`()->%`cBoundedMeetSemilattice``1233442
oT$`0`n`()->S`xLogic&(S)``0
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1233477
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1233510
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1233582
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->%`cTableAggregate(Key,Entry)``1233786
otable`1`n`((Key)->SingleInteger)->%`dXHashTable(Key,Entry)``1233859
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`n`(List(%))->TwoDimensionalArray(%)`dJetVectorField(JB,D)``1234286
otable`1`x`(List(Record(key:Key,entry:Entry)))->%`cTableAggregate(Key,Entry)``1234375
otableau`1`x`(List(List(S)))->%`dTableau(S)``1234470
otableau`2`n`(SparseEchelonMatrix(JB,D),JetDifferential(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1234545
otableau`2`n`(SparseEchelonMatrix(JB,D),List(JetDifferential(JB,D)))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1234633
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1234740
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1235042
otail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
otail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
otail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
otail`1`x`(%)->%`cDoublyLinkedAggregate(S)``1235332
otail`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``1235460
otail`1`x`(%)->%`cUnaryRecursiveAggregate(S)``1235578
otails`1`x`(%)->List(%)`dList(S)``1235663
otan`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1235769
otan`1`n`(F)->F`pElementaryFunction(R,F)``1235836
otan`1`n`(S)->S`xComplexCategory&(S,R)``0
otan`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
otan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1235898
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1235966
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1236034
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1236103
otan`1`x`(%)->%`cTrigonometricFunctionCategory``1236174
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1236228
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1236326
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1236430
otanh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1236536
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1236605
otanh`1`n`(S)->S`xComplexCategory&(S,R)``0
otanh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
otanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1236679
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1236763
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1236847
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1236928
otanh`1`x`(%)->%`cHyperbolicFunctionCategory``1237011
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1237077
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1237179
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1237288
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1237375
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1237460
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1237568
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1237648
oTau`0`n`()->Symbol`pMathematicalSymbols``1237810
otau`0`n`()->Symbol`pMathematicalSymbols``1237875
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1237938
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1238119
otaylor`1`x`(%)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1238187
otaylor`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)``1238326
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1238409
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1238520
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`1238761
otaylor`3`n`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries2(FE)``1238841
otaylor`3`n`((Integer)->R,Symbol,R)->Any`pGenerateUnivariatePowerSeries1(R)``1239016
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1239098
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`4`n`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`1239263
otaylor`4`n`((Integer)->R,Symbol,R,UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries1(R)``1239432
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
otaylorIfCan`1`x`(%)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1239605
otaylorQuoByVar`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)``1239757
otaylorRep`1`x`(%)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1239852
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1239967
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1240153
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1240339
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1240525
otaylor_via_lode`3`n`(List(UTS),PS,List(Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1240711
otensor`1`n`(List(B))->%`dTensorPower(n,R,B,M)``0
otensor`1`n`(List(M))->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`1`x`(List(M))->%`cTensorPowerCategory(n,R,M)``1240855
otensor`2`n`(%,%)->%`dOutputForm``1240952
otensor`2`n`(M,M)->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`2`x`(M,N)->%`cTensorProductCategory(R,M,N)``1241016
otensorMap`2`n`(Stream(R),(R)->List(R))->Stream(R)`pStreamTensor(R)``1241112
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1241282
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1241647
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1241746
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1242131
oterminal`1`n`(S)->A`xPoset&(A,S)``0
oterminal`1`n`(S)->%`cFiniteGraph(S)``1242412
oterms`1`x`(%)->List(Record(k:M,c:R))`cMonoidRingCategory(R,M)``1242503
oterms`1`x`(%)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1242663
otest`1`x`(%)->Boolean`dBoolean``1243018
otestAbsolutePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1243114
otestcase`1`n`(String)->Void`pUnittestCount``1243292
otestcaseNoClear`1`n`(String)->Void`pUnittestCount``1243436
otestco`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1243590
otestComplexEquals`2`n`(String,String)->Void`pUnittest``1243612
otestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1243831
otestcp`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244057
otestcx`2`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer))->UnivariatePolynomial(var,Expression(Integer))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244079
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1244101
otestEquals`2`n`(String,String)->Void`pUnittest``1244216
otestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1244486
otestEqualsAuxCmp`2`n`(R,R)->Boolean`pUnittestAux(R)``1244764
otestf2`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer))->Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244830
otestfg`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))))->List(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244852
otestfn`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->List(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244874
otestfo`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->Union(List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),List(Union(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Record(ope:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dext:PositiveInteger,alpha:Expression(Integer),rami:UnivariatePolynomial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244896
otestfr`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->Union(List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),List(Union(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Record(ope:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dext:PositiveInteger,alpha:Expression(Integer),rami:UnivariatePolynomial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244918
otestgt`2`n`(Expression(Integer),Kernel(Expression(Integer)))->Expression(Integer)`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244940
otestis`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244962
otestlc`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(llc:List(Stream(Record(k:Integer,c:Expression(Integer)))),rlc:List(Stream(Record(k:Integer,c:Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244984
otestLibraryError`1`n`(String)->Void`pUnittest``1245006
otestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1245125
otestll`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(laurl:List(UnivariateLaurentSeries(Expression(Integer),var,cen)),laurr:List(UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1245253
otestln`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(main:Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))),nf:Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))),error:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1245275
otestlp`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),Union(Expression(Integer),"infinity"))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1245297
otestlw`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Stream(Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1245319
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1245341
otestNotEquals`2`n`(String,String)->Void`pUnittest``1245537
otestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1245634
otestnp`1`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))))->List(Record(point:Record(x:Integer,y:Integer),slope:Fraction(Integer),npoly:UnivariatePolynomial(var,Expression(Integer))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1245739
otestpd`1`n`(UnivariatePolynomial(var,Expression(Integer)))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1245761
otestRealEquals`2`n`(String,String)->Void`pUnittest``1245783
otestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1245996
otestRelativePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1246217
otestro`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Expression(Integer),PositiveInteger)->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1246395
otestsb`2`n`(Union(UnivariatePolynomial(var,Expression(Integer)),UnivariateLaurentSeries(Expression(Integer),var,cen)),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1246417
otestsc`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1246439
otestsuite`1`n`(String)->Void`pUnittestCount``1246461
otestsuiteNoClear`1`n`(String)->Void`pUnittestCount``1246612
otestTrue`1`n`(String)->Void`pUnittest``1246772
otestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1246844
otex`1`n`(%)->List(String)`dTexFormat``1246917
otext?`1`n`(%)->Boolean`dTeXTree``1246987
otext`1`n`(String)->%`dTeXTree``1247083
otext_math?`1`n`(%)->Boolean`dTeXTree``1247147
otext_math`1`n`(%)->%`dTeXTree``1247240
otheMap`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1247314
oTheta`0`n`()->Symbol`pMathematicalSymbols``1247378
otheta`0`n`()->Symbol`pMathematicalSymbols``1247447
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1247514
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(%)->S`cUnaryRecursiveAggregate(S)``1247786
otimes`2`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer))->Record(mantissa:Integer,exponent:Integer)`pFloatingPointOperations``1247894
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1247961
otimes`3`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``1248156
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1248258
otitle`1`x`(String)->%`dDrawOption``1248373
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1248515
otitle`2`n`(%,String)->Void`dTwoDimensionalViewport``1248712
otitle`2`x`(%,String)->Void`dThreeDimensionalViewport``1248865
otoCayleyGraph`1`n`(PermutationGroup(S))->MultifunctionGraph(String)`dMultifunctionGraph(S)``1249022
otoCayleyGraph`2`n`(List(Permutation(S)),Boolean)->MultifunctionGraph(String)`dMultifunctionGraph(S)``1249072
otoggleAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1249283
otoggleDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1249370
oto_mod_pa`1`n`(SparseUnivariatePolynomial(Integer))->PrimitiveArray(PrimeField(p))`pVectorPolynomialOperationsP(p)``1249425
oto_mod_pa`1`n`(SparseUnivariatePolynomial(K))->PrimitiveArray(K)`pVectorPolynomialOperationsF(K)``1249552
oto_mod_pa`2`n`(SparseUnivariatePolynomial(Integer),Integer)->U32Vector`pU32VectorPolynomialOperations``1249609
otoObj`6`n`(%,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),SBoundary(PT))->Void`dScene(PT)``1249739
otop`1`x`(%)->S`cStackAggregate(S)``1250565
otoPermutation`1`n`(%)->PermutationGroup(NonNegativeInteger)`dMultifunctionGraph(S)``1250735
otoPermutationIfCan`1`n`(%)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1250832
otoPermutationIfCan`2`n`(%,Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1251042
otoPermutationIfCan`3`n`(%,List(List(Integer)),Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1251252
otopFortranOutputStack`0`n`()->String`pFortranOutputStackPackage``1251470
otoPoint`1`n`(%)->%`cSPointCategory``1251560
otopologicalSort`2`n`(List(List(Boolean)),List(T))->List(T)`pListPackage(T)``1251734
otopologicalSort`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1251974
otopologicalSort!`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1252092
otopPredicate`1`n`(%)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1252252
otop_split`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``1252444
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1252623
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1252926
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1252966
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1253070
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1253114
otorusSurface`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``1253318
otorusSurface`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1253373
otorusSurface`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1253449
otoScale`1`x`(Boolean)->%`dDrawOption``1253530
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1253758
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1253959
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1254088
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1254217
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1254350
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1254489
otoString`1`n`(S)->String`xFloatingPointSystem&(S)``0
otoString`1`n`(%)->String`cVarCat``1254619
otoString`1`n`(%)->String`dILogic``1254672
otoString`1`n`(%)->String`dLambda(UT)``1254742
otoString`1`n`(%)->String`dLatticeJoinOfMeets``1254957
otoString`1`n`(%)->String`dLatticeMeetOfJoins``1255027
otoString`1`n`(%)->String`dSceneNamedPoints(PT)``1255097
otoString`1`n`(%)->String`dSKICombinators(UT)``1255173
otoString`1`x`(%)->String`cFloatingPointSystem``1255187
otoString`2`n`(S,NonNegativeInteger)->String`xFloatingPointSystem&(S)``0
otoString`2`x`(%,NonNegativeInteger)->String`cFloatingPointSystem``1255260
otoStringConven`2`n`(%,List(String))->String`dLambda(UT)``1255371
otoStringUnwrapped`1`n`(%)->String`dILogic``1255656
otoStringUnwrapped`1`n`(%)->String`dLatticeJoinOfMeets``1255735
otoStringUnwrapped`1`n`(%)->String`dLatticeMeetOfJoins``1255814
otoSVG`8`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1255893
otoTable`1`x`((%,%)->%)->Matrix(%)`dCliffordAlgebra(n,K,bLin)``1256691
otoTable`1`x`((%)->%)->Matrix(%)`dCliffordAlgebra(n,K,bLin)``1256980
ototalDegree`1`n`(%)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1257139
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(%,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1257243
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegreeSorted`2`n`(%,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1257384
ototalDegreeSorted`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDifferential`1`n`(Expression(CoefRing))->%`dDeRhamComplex(CoefRing,listIndVar)``1257596
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1257700
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1257931
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1258193
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1258375
oto_UP`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))`dFakePolynomial``0
otoVector`1`n`(%)->%`cSPointCategory``1258411
otower`1`n`(List(S))->List(K)`xExpressionSpace2&(S,K)``0
otower`1`n`(S)->List(K)`xExpressionSpace2&(S,K)``0
otower`1`x`(%)->List(K)`cExpressionSpace2(K)``1258578
otower`1`x`(List(%))->List(K)`cExpressionSpace2(K)``1258681
otoX3D`4`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT))->XmlElement`dScene(PT)``1258810
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`x`(%)->R`cFiniteRankAlgebra(R,UP)``1259219
otrace`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1259329
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1259466
otrace`2`x`(%,PositiveInteger)->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1259563
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1259903
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1260066
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
otraceMatrix`1`x`(Vector(%))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1260229
otrailingCoefficient`1`n`(%)->R`dLaurentPolynomial(R,UP)``1260341
otRange`1`n`(%)->Segment(DoubleFloat)`dPlot3D``1260389
otRange`1`n`(%)->Segment(DoubleFloat)`dPlot``1260479
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1260568
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(%)->Boolean`cExtensionField(F)``1260694
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``1260818
otransform`1`n`(JB1)->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1260856
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1260960
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JetBundleSymAna(JB1,xi,eta))`pSymmetryAnalysis(JB1,xi,eta)``1261047
otransformationMatrices`1`n`(Matrix(F))->List(Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``1261144
otransformationMatrix`1`n`(%)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1261338
otransformColumns!`2`n`(%,Matrix(F))->%`dFreeDivisionAlgebra(VAR,F)``1261471
otransformColumns!`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``1261556
otransformRows!`2`n`(%,Matrix(F))->%`dFreeDivisionAlgebra(VAR,F)``1261667
otransformRows!`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``1261748
otransition_matrices`1`n`(%)->List(Matrix(Integer))`dChainComplex``1261855
otranslate`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1261932
otranslate`3`x`(R,R,R)->%`dDenavitHartenbergMatrix(R)``1262150
otranslate`4`n`(%,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1262254
otranspose`1`n`(%)->%`dSquareMatrix(ndim,R)``1262703
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
otranspose`1`x`(%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1262776
otranspose`1`x`(%)->%`dCartesianTensor(minix,dim,R)``1262848
otranspose`1`x`(Row)->%`cMatrixCategory(R,Row,Col)``1263091
otranspose`3`x`(%,Integer,Integer)->%`dCartesianTensor(minix,dim,R)``1263161
otrapezoidal`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1263443
otrapezoidalo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1264115
otraverse`2`n`(%,List(NonNegativeInteger))->%`dSubSpace(n,R)``1264791
otree`1`x`(List(S))->%`dTree(S)``1265122
otree`1`x`(S)->%`dTree(S)``1265197
otree`2`x`(S,List(%))->%`dTree(S)``1265274
otrial_division`5`n`(MP,Polynomial(Integer),List(MP),Symbol,List(Symbol))->Boolean`cModularEvaluationCategory(PT,MP)``1265362
otriangle`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dDeltaComplex(VS)``1265595
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1265641
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1265728
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1265815
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1266824
otriangular_multiply`4`n`(U32Matrix,U32Matrix,U32Vector,Integer)->U32Matrix`pModularU32MatrixOperations``1267016
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1267312
otriangulate`2`n`(Matrix(F),List(Vector(F)))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),lg:List(Vector(F)),eq:LO,lrh:List(F))))`pSystemODESolver(F,LO)``1267666
otriangulate`2`n`(Matrix(F),Vector(F))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),g:Vector(F),eq:LO,rh:F)))`pSystemODESolver(F,LO)``1267752
otriangulate`2`n`(Matrix(LO),List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pSystemODESolver(F,LO)``1268104
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1268329
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1268495
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1268624
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pInnerTrigonometricManipulations(R,F,FG)``1268753
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pTrigonometricManipulationsAux(G,FG)``1269060
otrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`x`(%,CharacterClass)->%`cStringAggregate``1269367
otrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1269549
otrim_mat!`4`n`(MMT,Integer,Integer,PMD)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1269734
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1269982
otrue`0`x`()->%`cLogic``1270084
otrueEqual`2`x`(%,%)->Boolean`dAlgebraicNumber``1270126
otrunc`2`x`(%,NonNegativeInteger)->%`cFreeLieAlgebra(VarSet,R)``1270204
otrunc`2`x`(%,NonNegativeInteger)->%`cXPolynomialsCat(vl,R)``1270291
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(%)->%`cRealNumberSystem``1270378
otruncate`2`x`(%,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``1270467
otruncate`3`x`(%,Expon,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``1270598
otruncated_mul_add2`6`n`(U32Vector,U32Vector,U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1270757
otruncated_mul_add`5`n`(U32Vector,U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``1270912
otruncated_multiplication`4`n`(U32Vector,U32Vector,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``1271025
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1271122
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1271268
otry_real`2`n`(F,Symbol)->F`pRealNormalizationUtilities(R,F)``0
otryTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1271462
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1271648
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->%`dTubePlot(Curve)``1271737
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1272045
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1272308
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1272561
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1272902
otubePoints`1`x`(PositiveInteger)->%`dDrawOption``1273241
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1273452
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1273659
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1273797
otubeRadius`1`x`(Float)->%`dDrawOption``1273941
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1274083
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1274290
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1274368
otValues`1`n`(%)->List(List(DoubleFloat))`dPlot3D``1274459
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1274616
otype`1`n`(%)->Symbol`cJetBundleCategory``1274714
otypeList`2`n`(FortranScalarType,%)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1274818
otypeLists`1`n`(%)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1274907
oU`0`n`()->%`cJetBundleCategory``1274994
oU`0`n`()->%`cJetBundleFunctionCategory(JB)``0
oU`0`n`()->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`0`n`()->S`xJetBundleCategory&(S)``0
oU`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->%`cJetBundleCategory``1275051
oU`1`n`(PositiveInteger)->%`cJetBundleFunctionCategory(JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oU`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oucodeToString`1`x`(Integer)->%`dString``1275123
ouentries`1`x`(%)->List(SingleInteger)`dString``1275266
ounary?`1`x`(%)->Boolean`dBasicOperator``1275594
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1275648
ounbind`1`n`(%)->%`dLambda(UT)``1275699
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1275790
ounderscore`0`x`()->%`dCharacter``1276016
oundirectedGraph`1`n`(FinitePoset(S))->%`dUndirectedGraph(S)``1276161
oundirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->%`dUndirectedGraph(S)``1276334
oundirectedGraph`1`n`(List(S))->%`dUndirectedGraph(S)``1276438
oundirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dUndirectedGraph(S)``1276708
oundirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dUndirectedGraph(S)``1276823
oundirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dUndirectedGraph(S)``1276893
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->%`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->%`dXRecursivePolynomial(VarSet,R)``1277080
oungroup`1`n`(%)->List(%)`dTeXTree``1277142
ouniform01`0`n`()->Float`pRandomFloatDistributions``1277211
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1277251
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1277290
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1277329
ounion`1`n`(List(%))->%`dSBoundary(PT)``1277371
ounion`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xSetAggregate&(A,S)``0
ounion`2`n`(%,%)->%`dPatternMatchResult(R,S)``1277515
ounion`2`n`(List(Kernel(F)),List(Kernel(F)))->List(Kernel(F))`pIntegrationTools(R,F)``1277583
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`x`(%,%)->%`cSetAggregate(S)``1277667
ounion`2`x`(%,S)->%`cSetAggregate(S)``1277795
ounion`2`x`(S,%)->%`cSetAggregate(S)``1277975
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1278155
ounit?`1`n`(%)->Boolean`cAIntervalCategory(R)`AND(has(R,Field),has(R,OrderedRing))`1278265
ounit?`1`n`(S)->Boolean`xAIntervalCategory&(S,R)``0
ounit?`1`n`(S)->Boolean`xEntireRing&(S)``0
ounit?`1`x`(%)->Boolean`cEntireRing``1278402
ounit`1`x`(List(Float))->%`dDrawOption``1278492
ounit`1`x`(%)->R`dFactored(R)``1278644
ounit`2`n`(List(S),String)->A`xPoset&(A,S)``0
ounit`2`n`(List(S),String)->%`cFiniteGraph(S)``1278711
ounitCanonical`1`n`(S)->S`xEntireRing&(S)``0
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`x`(%)->%`cEntireRing``1278960
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xComplexCategory&(S,R)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xEntireRing&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xField&(S)``0
ounitNormal`1`x`(%)->Record(unit:%,canonical:%,associate:%)`cEntireRing``1279031
ounitNormalize`1`x`(%)->%`dFactored(R)``1279335
ounitPart`1`n`(%)->Fraction(Integer)`dIntegerLocalizedAtPrime(p)``1279532
ounits`1`n`(%)->List(Float)`dGraphImage``1279682
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1279863
ounits`2`n`(%,List(Float))->List(Float)`dGraphImage``1280059
ounits`3`n`(%,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1280350
ounits`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1280594
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1280849
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1280945
ounitStep`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1281063
ounitStep`1`x`(%)->%`cSpecialFunctionCategory``1281154
ounitVector`1`n`(%)->%`cSPointCategory``1281245
ounitVector`1`n`(IS)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1281375
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1281417
ounitVector`1`x`(PositiveInteger)->%`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,Monoid))`1281562
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1281656
ounivariate`1`x`(%)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1281754
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1282015
ounivariate`2`n`(S,K)->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace2&(S,R,K)``0
ounivariate`2`x`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``1282117
ounivariate`2`x`(%,K)->Fraction(SparseUnivariatePolynomial(%))`cFunctionSpace2(R,K)`has(R,IntegralDomain)`1282219
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1282312
ounivariate`2`x`(%,VarSet)->SparseUnivariatePolynomial(%)`cPolynomialCategory(R,E,VarSet)``1282477
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1282680
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1282820
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1282871
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1283028
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial('x,Coef)`dUnivariateFormalPowerSeries(Coef)``0
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1283185
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1283344
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1283524
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1283768
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1283871
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1284042
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1284152
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1284271
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1285051
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->%`cFiniteSetAggregate(S)`has(S,Finite)`1285090
ounkextint`3`n`((List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``1285186
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->%`cUnivariatePolynomialCategory(R)``1285333
ounpack_poly`5`n`(List(Symbol),SortedExponentVector,PrimitiveArray(Integer),Integer,Integer)->SparseUnivariatePolynomial(Polynomial(Integer))`pModularHermitePade``1285492
ounparse`1`n`(%)->String`dInputForm``1285778
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1285943
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1286284
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1286765
ounravel`1`x`(List(R))->%`dCartesianTensor(minix,dim,R)``1287318
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1287441
oUnVectorise`1`n`(Vector(R))->%`dModMonic(R,Rep)``1287567
ounvectorise`1`n`(Vector(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounvectorise`1`x`(Vector(R))->%`cUnivariatePolynomialCategory(R)``1287642
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1287770
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``1287997
oupdatD`2`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)),List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``1288059
oupdate!`2`n`(%,SingleInteger)->%`dHashState``1288094
oupdate`3`n`(%,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1288239
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupdateStatus!`1`n`(%)->%`dSplittingTree(V,C)``1288419
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``1288545
oupperCase`0`x`()->%`dCharacterClass``1288580
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase?`1`x`(%)->Boolean`dCharacter``1288704
oupperCase!`1`x`(%)->%`cStringAggregate``1288813
oupperCase`1`x`(%)->%`cStringAggregate``1288942
oupperCase`1`x`(%)->%`dCharacter``1289023
oupperSet`1`n`(%)->%`cPoset(S)``1289190
ouppertriangular?`2`n`(%,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1289328
oUpsilon`0`n`()->Symbol`pMathematicalSymbols``1289406
oupsilon`0`n`()->Symbol`pMathematicalSymbols``1289479
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``1289550
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1289758
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1289887
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1290082
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1290217
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1290387
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1290605
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``1290680
ovalidate`1`n`(%)->Boolean`dChainComplex``1290781
ovalidate`1`n`(%)->Boolean`dCoChainComplex(VS)``1290895
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1291020
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(%)->SingleInteger`dHashState``1291175
ovalue`1`n`(%)->Symbol`dILogic``1291268
ovalue`1`n`(%)->Symbol`dLatticeJoinOfMeets``1291540
ovalue`1`n`(%)->Symbol`dLatticeMeetOfJoins``1291812
ovalue`1`n`(%)->V`dSplittingNode(V,C)``1292084
ovalue`1`x`(%)->Integer`dOrdSetInts``1292147
ovalue`1`x`(%)->S`cRecursiveAggregate(S)``1292215
ovalue`1`x`(%)->String`dQueryEquation``1292278
ovalues`0`n`()->NonNegativeInteger`pRecurrenceOperator(R,F)``1292368
ovalues`1`n`(NonNegativeInteger)->NonNegativeInteger`pRecurrenceOperator(R,F)``1292448
ovar`1`n`(String)->%`cVarCat``1292525
ovar1Steps`1`x`(PositiveInteger)->%`dDrawOption``1292577
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1292741
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1292946
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1293214
ovar`2`n`(String,ILogic)->%`cVarCat``1293473
ovar2Steps`1`x`(PositiveInteger)->%`dDrawOption``1293529
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1293694
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1293899
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1294167
ovariable`0`n`()->Symbol`dVariable(sym)``1294426
ovariable?`1`n`(%)->Boolean`dSKICombinators(UT)``1294470
ovariable`1`n`(String)->%`dLatticeJoinOfMeets``1294519
ovariable`1`n`(String)->%`dLatticeMeetOfJoins``1294547
ovariable`1`n`(Symbol)->Union(%,"failed")`dOrderedVariableList(VariableList)``1294575
ovariable`1`x`(%)->S`cDifferentialVariableCategory(S)``1294648
ovariable`1`x`(%)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1294765
ovariable`1`x`(%)->Symbol`dQueryEquation``1294864
ovariable`1`x`(%)->Symbol`dSegmentBinding(S)``1294959
ovariableName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``1295158
ovariableName`1`x`(Symbol)->%`dGuessOption``1295286
ovariableOf`1`n`(%)->Symbol`dSimpleCell(TheField,ThePols)``1295447
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1295504
ovariables`1`n`(%)->List(%)`dPattern(R)``1295620
ovariables`1`n`(%)->List(FreeMonoid(VAR))`dFreeDivisionAlgebra(VAR,F)``1295709
ovariables`1`n`(List(S))->List(Symbol)`xFunctionSpace2&(S,R,K)``0
ovariables`1`n`(%)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1295769
ovariables`1`n`(%)->List(VarSet)`cMaybeSkewPolynomialCategory(R,E,VarSet)``1295844
ovariables`1`n`(NonNegativeInteger)->List(%)`cJetBundleCategory``1295954
ovariables`1`n`(NonNegativeInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(Symbol)`xFunctionSpace2&(S,R,K)``0
ovariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ovariables`1`n`(SparseUnivariatePolynomial(P))->List(OV)`pFactoringUtilities(E,OV,R,P)``1296042
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1296141
ovariables`1`x`(List(%))->List(Symbol)`cFunctionSpace2(R,K)``1296257
ovariables`1`x`(%)->List(Symbol)`cFunctionSpace2(R,K)``1296364
ovariables`1`x`(%)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1296442
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(%)`cJetBundleCategory``1296577
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(S)`xJetBundleCategory&(S)``0
ovariablesOf`1`n`(%)->List(Symbol)`dCell(TheField)``1296702
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1296769
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1297124
ovarList`1`n`(%)->List(S)`dFreeMonoid(S)`has(S,BasicType)`1297246
ovarList`1`n`(%)->List(VarSet)`dFreeMagma(VarSet)``1297314
ovarList`1`n`(%)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1297389
ovarList`1`n`(%)->List(VarSet)`dLyndonWord(VarSet)``1297457
ovarList`1`n`(%)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1297532
ovarList`1`x`(%)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1297636
ovarList`1`x`(%)->List(vl)`cXFreeAlgebra(vl,R)``1297711
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1297792
ovconcat`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1297880
ovconcat`1`n`(List(%))->%`dOutputForm``1298134
ovconcat`2`n`(%,%)->%`dOutputForm``1298211
ovconcat`2`n`(List(%),NonNegativeInteger)->%`dOutputBox``1298292
ovconcat`3`n`(List(%),NonNegativeInteger,Integer)->%`dOutputBox``1298358
ovector`1`n`(List(Complex(DoubleFloat)))->%`dComplexDoubleFloatVector``1298809
ovector`1`n`(%)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1298873
ovector`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1298940
ovector`1`x`(List(R))->%`dVector(R)``1299007
ovector_add_mul`6`n`(U32Vector,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1299071
ovector_combination`7`n`(U32Vector,Integer,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1299240
oVectorise`1`n`(%)->Vector(R)`dModMonic(R,Rep)``1299420
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(%,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1299497
overtConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`1`x`(List(%))->%`cTwoDimensionalArrayCategory(R,Row,Col)``1299700
overtConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`2`x`(%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1299837
overtSplit`2`n`(S,List(NonNegativeInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`x`(%,List(NonNegativeInteger))->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``1300062
overtSplit`2`x`(%,PositiveInteger)->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``1300247
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1300391
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1300462
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1300582
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1300739
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1300857
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1301012
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1301106
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->%`dDrawOption``1301241
oviewpoint`1`x`(%)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1301493
oviewpoint`2`n`(List(DrawOption),Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`pDrawOptionFunctions0``1301848
oviewpoint`2`x`(%,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1302055
oviewpoint`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1302307
oviewpoint`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``1302657
oviewpoint`6`x`(%,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1303049
oviewpoint`6`x`(%,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1303529
oviewport2D`0`n`()->%`dTwoDimensionalViewport``1304009
oviewport3D`0`x`()->%`dThreeDimensionalViewport``1304156
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1304307
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1304513
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1304741
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1304820
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1304926
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1305023
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1305161
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1305278
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1305410
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1305575
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1305656
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,Dpol)``1305768
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pNGroebnerPackage(Dom,Expon,Dpol)``1305810
ovoid`0`x`()->%`dVoid``1305831
ovspace`1`n`(Integer)->%`dOutputForm``1305876
oVSUPI_to_VPA`2`n`(Vector(SparseUnivariatePolynomial(Integer)),Integer)->Vector(U32Vector)`pModularHermitePade``1305940
oVSUPPI_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(Polynomial(Integer))),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePade``1305966
oVSUPS_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(S)),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePadeSolver(F,S)``1305992
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1306017
oweberE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1306187
oweberE`2`x`(%,%)->%`cSpecialFunctionCategory``1306246
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1306305
oweierstrassHalfPeriods`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1306579
oweierstrassInvariants`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1306718
oweierstrassP0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1306877
oweierstrassP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1307025
oweierstrassP`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1307101
oweierstrassP`3`x`(%,%,%)->%`cSpecialFunctionCategory``1307176
oweierstrassP`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1307252
oweierstrassPInverse`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1307327
oweierstrassPInverse`3`x`(%,%,%)->%`cSpecialFunctionCategory``1307509
oweierstrassPPrime0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1307691
oweierstrassPPrime`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1307849
oweierstrassPPrime`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1307944
oweierstrassPPrime`3`x`(%,%,%)->%`cSpecialFunctionCategory``1308042
oweierstrassPPrime`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1308137
oweierstrassSigma0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1308235
oweierstrassSigma`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1308376
oweierstrassSigma`3`x`(%,%,%)->%`cSpecialFunctionCategory``1308453
oweierstrassZeta0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1308530
oweierstrassZeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1308684
oweierstrassZeta`3`x`(%,%,%)->%`cSpecialFunctionCategory``1308759
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`n`(%)->NonNegativeInteger`cJetBundleCategory``1308834
oweight`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oweight`1`x`(%)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1309023
oweight`1`x`(%)->NonNegativeInteger`cDifferentialVariableCategory(S)``1309155
oweight`1`x`(%)->NonNegativeInteger`dBasicOperator``1309226
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(%,NonNegativeInteger)->%`dBasicOperator``1309293
oweight`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1309364
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1309601
oweightedDistanceMatrix`1`n`(%)->TwoDimensionalArray(Union(W,"disjoint"))`dWeightedGraph(S,W)``1309641
oweightedGraph`1`n`(FinitePoset(S))->%`dWeightedGraph(S,W)``1309827
oweightedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)))->%`dWeightedGraph(S,W)``1309978
oweightedGraph`1`n`(List(S))->%`dWeightedGraph(S,W)``1310082
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dWeightedGraph(S,W)``1310352
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)),List(Record(name:String,weight:W,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dWeightedGraph(S,W)``1310467
oweightedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dWeightedGraph(S,W)``1310607
oweightedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dWeightedGraph(S,W)``1310677
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(%)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1310862
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(%,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1310986
owhatInfinity`1`x`(%)->SingleInteger`dOrderedCompletion(R)``1311219
owhileLoop`2`n`(Switch,%)->%`dFortranCode``1311350
owhittakerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1311413
owhittakerM`3`x`(%,%,%)->%`cSpecialFunctionCategory``1311483
owhittakerW`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1311553
owhittakerW`3`x`(%,%,%)->%`cSpecialFunctionCategory``1311623
owholePart`1`x`(%)->Integer`cRealNumberSystem``1311693
owholePart`1`x`(%)->R`dContinuedFraction(R)``1311757
owholePart`1`x`(%)->R`dPartialFraction(R)``1311936
owholePart`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1312021
owholeRadix`1`x`(List(Integer))->%`dRadixExpansion(bb)``1312174
owholeRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``1312327
owidth`1`n`(%)->NonNegativeInteger`dOutputBox``1312418
owidth`1`n`(%)->R`cAIntervalCategory(R)`has(R,OrderedAbelianGroup)`1312480
owidth`1`n`(S)->R`xAIntervalCategory&(S,R)``0
owignerDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``1312535
owilsonW`6`n`(F,F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``1312624
owilsonW`6`x`(%,%,%,%,%,%)->%`cSpecialFunctionCategory``1312690
owithPredicates`2`n`(%,List(Any))->%`dPattern(R)``1312756
owordInGenerators`2`x`(Permutation(S),%)->List(NonNegativeInteger)`dPermutationGroup(S)``1312919
owordInStrongGenerators`2`x`(Permutation(S),%)->List(NonNegativeInteger)`dPermutationGroup(S)``1313120
owordsForStrongGenerators`1`x`(%)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1313331
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1313549
owritable?`1`x`(%)->Boolean`cFileNameCategory``1313714
owrite!`2`n`(%,None)->Void`dBasicFile``1313831
owrite`2`n`(%,String)->String`dTwoDimensionalViewport``1313873
owrite!`2`x`(%,S)->S`cFileCategory(Name,S)``1314102
owrite`2`x`(%,String)->String`dThreeDimensionalViewport``1314279
owrite`3`n`(%,String,List(String))->String`dTwoDimensionalViewport``1314511
owrite!`3`n`(%,String,None)->Void`dBasicKeyedAccessFile``1314804
owrite`3`n`(%,String,String)->String`dTwoDimensionalViewport``1314867
owrite`3`x`(%,String,List(String))->String`dThreeDimensionalViewport``1315134
owrite`3`x`(%,String,String)->String`dThreeDimensionalViewport``1315430
owriteCategory`4`n`(List(ILogic),String,String,String)->Void`pcompCode``1315700
owriteLine!`1`x`(%)->String`dTextFile``1315736
owriteLine!`2`x`(%,String)->String`dTextFile``1315913
owriteObj`2`n`(%,String)->Void`dScene(PT)``1316074
owriteObj`2`n`(SubSpace(3,DoubleFloat),String)->Void`pExport3D``1316198
owritePackage`5`n`(List(Lambda(Typed)),String,String,String,String)->Void`pcompCode``1316261
owriteSvg`2`n`(%,String)->Void`dScene(PT)``1316296
owriteSvgQuantised`2`n`(%,String)->Void`dScene(PT)``1316408
owriteVRML`2`n`(%,String)->Void`dScene(PT)``1316529
owriteVRML`2`n`(XmlElement,String)->Void`pExportXml``1316643
owriteX3d`2`n`(%,String)->Void`dScene(PT)``1316927
owriteXml`2`n`(XmlElement,String)->Void`pExportXml``1317041
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1317254
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1317392
owrregime`2`n`(List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1317533
oX`0`n`()->%`cJetBundleCategory``1317654
oX`0`n`()->%`cJetBundleFunctionCategory(JB)``0
oX`0`n`()->S`xJetBundleCategory&(S)``0
oX`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oX`1`n`(PositiveInteger)->%`cJetBundleCategory``1317713
oX`1`n`(PositiveInteger)->%`cJetBundleFunctionCategory(JB)``0
oX`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oX`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1317787
oxform`2`n`(%,PT)->PT`dSTransform(PT)``1318037
oxftestComplexEquals`2`n`(String,String)->Void`pUnittest``1318118
oxftestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1318193
oxftestEquals`2`n`(String,String)->Void`pUnittest``1318274
oxftestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1318336
oxftestLibraryError`1`n`(String)->Void`pUnittest``1318401
oxftestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1318475
oxftestNotEquals`2`n`(String,String)->Void`pUnittest``1318578
oxftestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1318646
oxftestRealEquals`2`n`(String,String)->Void`pUnittest``1318714
oxftestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1318784
oxftestTrue`1`n`(String)->Void`pUnittest``1318860
oxftestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1318918
oXi`0`n`()->Symbol`pMathematicalSymbols``1318982
oxi`0`n`()->Symbol`pMathematicalSymbols``1319060
oxmlAttribute`2`n`(String,List(String))->%`dXmlAttribute``1319136
oxmlAttribute`2`n`(String,String)->%`dXmlAttribute``1319244
oxmlElement`3`n`(String,List(%),List(XmlAttribute))->%`dXmlElement``1319341
oxmlElement`3`n`(String,String,List(XmlAttribute))->%`dXmlElement``1319448
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1319541
oxor`2`x`(%,%)->%`cBitAggregate``1319599
oxor`2`x`(%,%)->%`dBoolean``1319704
oxor`2`x`(%,%)->%`dSingleInteger``1319802
oxRange`1`x`(%)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1319914
oxRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1320022
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``1320130
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``1320199
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1320359
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(%)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1320611
oyellow`0`x`()->%`dColor``1320731
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1320811
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1320933
oyRange`1`x`(%)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1321071
oyRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1321179
ozag`2`n`(%,%)->%`dOutputForm``1321287
ozag`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1321387
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1321494
ozero?`1`n`(%)->Boolean`cAIntervalCategory(R)`has(R,OrderedAbelianMonoid)`1321762
ozero?`1`n`(MPT)->Boolean`cModularAlgebraicGcdOperations(MP,MPT,MD)``1321826
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xAIntervalCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`n`(S)->Boolean`xVectorCategory&(S,R)``0
ozero?`1`x`(%)->Boolean`cAbelianMonoid``1321878
ozero?`1`x`(%)->Boolean`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianMonoid)`1321935
ozero?`1`x`(%)->Boolean`cVectorCategory(R)`has(R,AbelianMonoid)`1322035
ozero?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1322133
ozero`1`x`(NonNegativeInteger)->%`cVectorCategory(R)`has(R,AbelianMonoid)`1322208
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->%`cMatrixCategory(R,Row,Col)``1322273
ozero?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1322344
ozero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1322439
ozero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1322499
ozeroDim?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1322615
ozeroDim?`2`x`(%,List(VarSet))->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1322827
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1322993
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1323151
ozeroDimPrimary?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1323302
ozeroDimPrime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1323390
ozeroMatrix`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`1323476
ozeroMatrix`3`n`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1323547
ozeroMatrix`3`n`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1323642
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`x`(%)->%`cAlgebraicallyClosedFunctionSpace(R)``1323763
ozeroOf`1`x`(Polynomial(%))->%`cAlgebraicallyClosedField``1323994
ozeroOf`1`x`(SparseUnivariatePolynomial(%))->%`cAlgebraicallyClosedField``1324224
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedField``1324398
ozeroOf`2`x`(%,Symbol)->%`cAlgebraicallyClosedFunctionSpace(R)``1324603
ozeroSetSplit`1`x`(List(P))->List(%)`cTriangularSetCategory(R,E,V,P)``1324818
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1325015
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1325354
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1325705
ozeroSetSplit`2`x`(List(P),Boolean)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``1325850
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(%)`dRegularChain(R,ls)``1326350
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``1326849
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``1327168
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``1327531
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``1327636
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:%,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1327741
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`x`(%)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1328053
ozerosOf`1`x`(Polynomial(%))->List(%)`cAlgebraicallyClosedField``1328385
ozerosOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cAlgebraicallyClosedField``1328737
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->List(%)`cAlgebraicallyClosedField``1329033
ozerosOf`2`x`(%,Symbol)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1329375
ozeroSquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1329721
ozeroVector`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1329775
ozeta`0`n`()->%`dDirichletRing(Coef)``1329823
oZeta`0`n`()->Symbol`pMathematicalSymbols``1329890
ozeta`0`n`()->Symbol`pMathematicalSymbols``1329958
ozetaMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ozetaMatrix`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``1330024
ozoom`2`n`(%,Segment(DoubleFloat))->%`dPlot``1330268
ozoom`2`x`(%,Float)->Void`dThreeDimensionalViewport``1330308
ozoom`3`n`(%,Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``1330464
ozoom`4`n`(%,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``1330507
ozoom`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``1330553
ozRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1330841
pAlgebraicFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`AF`1330949
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1331024
pAlgebraicIntegrate2`5`n`(R0:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG2`1331061
pAlgebraicIntegrate`5`n`(R0:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG`1331225
pAlgebraicIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1331315
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1331430
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1331546
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1331758
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1331843
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1331940
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1332151
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1332237
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1332366
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1332491
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1332579
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1332649
pBezoutMatrix`5`n`(R:Ring,UP:UnivariatePolynomialCategory(R),M:MatrixCategory(R,Row,Col),FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(R,UP,M,Row,Col)`BEZOUT`1332785
pBezoutMatrixWrapper`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BEZOUT2`1332964
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1333061
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1333176
pBrowserInformation`0`n`()->etc``BRINFO`1333239
pCartanKuranishi`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`CKP`1333328
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1333600
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1333708
pCharacteristicPolynomial`1`n`(CommutativeRing)->etc`(R)`CHARPOL0`1333773
pCharacteristicPolynomial2`1`n`(Field)->etc`(F)`CHARPOL2`1333872
pCharacteristicPolynomial3`1`n`(IntegralDomain)->etc`(R)`CHARPOL3`1333953
pCharacteristicPolynomial4`1`n`(Ring)->etc`(R)`CHARPOL4`1334265
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1334354
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1334452
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1334558
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1334612
pCombinatorialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`COMBF`1334700
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1334766
pCommonOperators`0`n`()->etc``COMMONOP`1334931
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1335136
pcompCode`0`n`()->etc``COMPCODE`1335253
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1336082
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1336180
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1336307
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1336380
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1336458
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`1337227
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1337588
pcompUtil`1`n`(VarCat)->etc`(UT)`COMPUTIL`1337724
pConstantLinearDependence`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`CLINDEP`1338422
pConstantLODE`3`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1338871
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1338958
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1339217
pCubicalComplexFactory`0`n`()->etc``CUBECF`1339297
pCycleIndicators`0`x`()->etc``CYCLES`1339469
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1339507
pCyclotomicUtilities`0`n`()->etc``CYCLOT2`1339576
pCylindricalAlgebraicDecompositionPackage`1`n`(RealClosedField)->etc`(TheField)`CAD`1339640
pCylindricalAlgebraicDecompositionUtilities`2`n`(R:GcdDomain,P:UnivariatePolynomialCategory(R))->etc`(R,P)`CADU`1339713
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1339808
pDegreeReductionPackage`2`n`(Ring,R2:Join(Comparable,etc))->etc`(R1,R2)`DEGRED`1339950
pDeltaComplexFactory`1`n`(AbelianGroup)->etc`(VS)`DELTCF`1339987
pDenominatorIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTDEN`1340126
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1340239
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1340955
pDiscreteLogarithmPackage`1`n`(Join(Monoid,etc))->etc`(M)`DLP`1341260
pDisplayPackage`0`x`()->etc``DISPLAY`1341381
pDistributionContinuedFractionPackage`2`x`(CommutativeRing,z:Symbol)->etc`(R,z)`DSTCFPG`1341485
pDistributionFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`DISTRO2`1341563
pDistributionPackage`1`x`(CommutativeRing)->etc`(R)`DISTEX`1341627
pDistributionPolynomialPackage`3`x`(R:CommutativeRing,S:Join(CommutativeRing,etc),UPS:UnivariatePolynomialCategory(S))->etc`(R,S,UPS)`DISTPOL`1341666
pDoubleFloatElementaryFunctions`0`n`()->etc``DFELEM`1341794
pDoubleFloatEllipticIntegrals`0`x`()->etc``ELIPIDF`1341891
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1342162
pDoubleFloatSpecialFunctions2`0`x`()->etc``DFSFUN2`1342264
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1342358
pDrawComplex`0`x`()->etc``DRAWCX`1342462
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1342549
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1342966
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1343003
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1343040
pElementaryFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1343324
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1343387
pElementaryFunctionLODESolver`3`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1343518
pElementaryFunctionODESolver`2`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1343699
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1343872
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1343988
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1344280
pElementaryRischDEX2`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX2`1344441
pElementaryRischDEX`2`n`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX`1344508
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1344622
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1344719
pErrorFunctions`0`x`()->etc``ERROR`1344796
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1346739
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1347587
pExport3D`0`n`()->etc``EXP3D`1347732
pExportXml`0`n`()->etc``XML`1347829
pExpressionFactorPolynomial`2`n`(R:Join(GcdDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EFACTOR`1347888
pExpressionFunctions2`2`x`(Join(Ring,etc),S:Join(Ring,etc))->etc`(R,S)`EXPR2`1347960
pExpressionLinearSolve`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`ELINSOL`1348026
pExpressionSolve`4`n`(R:Join(Comparable,etc),F:FunctionSpace(R),UTSF:UnivariateTaylorSeriesCategory(F),UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(R,F,UTSF,UTSSMPF)`EXPRSOL`0
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1348184
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1348364
pExpressionSpaceODESolver`2`x`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1348657
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1348715
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1348840
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1348931
pExtendedPolynomialReduction`3`n`(C:GcdDomain,E:OrderedAbelianMonoidSup,R:Join(FiniteAbelianMonoidRing(C,E),etc))->etc`(C,E,R)`EXTRED`1349010
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1349386
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1349444
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1349717
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1349831
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1349994
pFileSerialization`0`n`()->etc``FILSER`1350300
pFindOrderFinite`4`n`(F:Join(Finite,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`FORDER`1350393
pFiniteAbelianMonoidRingFunctions2`5`n`(E:OrderedAbelianMonoid,R1:Ring,A1:FiniteAbelianMonoidRing(R1,E),R2:Ring,A2:FiniteAbelianMonoidRing(R2,E))->etc`(E,R1,A1,R2,A2)`FAMR2`1350464
pFiniteDivisorFunctions2`8`x`(R1:Field,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),F1:FunctionFieldCategory(R1,UP1,UPUP1),R2:Field,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)),F2:FunctionFieldCategory(R2,UP2,UPUP2))->etc`(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)`FDIV2`1350552
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1350591
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1350766
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1351004
pFiniteFieldPolynomialPackage2`2`x`(Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1351164
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1351436
pFiniteGroupPackage`1`n`(Join(Group,etc))->etc`(G)`FINGPKG`1351538
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:Join(LinearAggregate(S),etc),R:Type,B:Join(LinearAggregate(R),etc))->etc`(S,A,R,B)`FLAGG2`1351606
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1351919
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1352009
pFloatElementaryFunctions`0`n`()->etc``FELEM`1352312
pFloatEllipticFunctions`0`x`()->etc``FELFUN`1352433
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1352567
pFloatingPointConvertion`0`n`()->etc``FOUT`1352913
pFloatingPointOperations`0`n`()->etc``FLOOPS`1353014
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1353127
pFloatLiouvilianFunctions`0`x`()->etc``FLIOUFUN`1353434
pFloatSpecialFunctions`0`x`()->etc``FSFUN`1353523
pFortranCodePackage1`0`n`()->etc``FCPAK1`1353606
pFortranCodeTools`0`n`()->etc``FCTOOL`1354213
pFortranOutputStackPackage`0`n`()->etc``FOP`1354264
pFractionalIdealFunctions2`8`x`(R1:EuclideanDomain,F1:QuotientFieldCategory(R1),U1:UnivariatePolynomialCategory(F1),A1:Join(FramedAlgebra(F1,U1),etc),R2:EuclideanDomain,F2:QuotientFieldCategory(R2),U2:UnivariatePolynomialCategory(F2),A2:Join(FramedAlgebra(F2,U2),etc))->etc`(R1,F1,U1,A1,R2,F2,U2,A2)`FRIDEAL2`1354312
pFractionFreeFastGaussian`2`n`(D:Join(IntegralDomain,etc),V:AbelianMonoidRing(D,NonNegativeInteger))->etc`(D,V)`FFFG`1354363
pFractionFreeFastGaussianFractions`3`n`(D:Join(IntegralDomain,etc),V:FiniteAbelianMonoidRing(D,NonNegativeInteger),VF:FiniteAbelianMonoidRing(Fraction(D),NonNegativeInteger))->etc`(D,V,VF)`FFFGF`1354604
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1354714
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1354876
pFreeModuleCoefficientFunctions2`5`x`(R1:Join(SemiRng,etc),R2:Join(SemiRng,etc),S:Comparable,M1:FreeModuleCategory(R1,S),M2:FreeModuleCategory(R2,S))->etc`(R1,R2,S,M1,M2)`FMCF2`1355144
pFreeModuleFunctions2`4`x`(R:CommutativeRing,S:Comparable,M1:FreeModuleCategory(R,S),M2:Module(R))->etc`(R,S,M1,M2)`FM2`1355236
pFunctionalSpecialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSPECF`1355283
pFunctionFieldCategoryFunctions2`8`x`(R1:UniqueFactorizationDomain,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),F1:FunctionFieldCategory(R1,UP1,UPUP1),R2:UniqueFactorizationDomain,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)),F2:FunctionFieldCategory(R2,UP2,UPUP2))->etc`(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)`FFCAT2`1355348
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1355409
pFunctionSpaceAssertions`2`x`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1355803
pFunctionSpaceAttachPredicates`3`x`(R:Comparable,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1355891
pFunctionSpaceComplexIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1355979
pFunctionSpaceComplexIntegrationAux`2`n`(G:Join(GcdDomain,etc),FG:Join(TranscendentalFunctionCategory,etc))->etc`(G,FG)`FSCINTA`1356109
pFunctionSpaceFunctions2`4`x`(R:Join(Ring,etc),A:FunctionSpace(R),S:Join(Ring,etc),B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1356242
pFunctionSpaceIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1356405
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1356525
pFunctionSpaceRationalRoots`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRROOT`1356634
pFunctionSpaceReduce`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1356735
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1356946
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1356994
pFunctionSpaceToUnivariatePowerSeries2`9`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:OrderedRing,UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),UTS:UnivariateTaylorSeriesCategory(FE),TaylorSeriesExpansion(FE,Expon,SingletonAsOrderedSet,UPS,UTS),(Expon)->FE,Symbol)->etc`(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)`FS2UPS2`1357086
pFunctionSpaceToUnivariatePowerSeries`8`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:OrderedRing,UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),UTS:UnivariateTaylorSeriesCategory(FE),TaylorSeriesExpansion(FE,Expon,SingletonAsOrderedSet,UPS,UTS),Symbol)->etc`(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)`FS2UPS`1357502
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1357918
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1358027
pGaloisGroupFactorizerSeparate`2`n`(PositiveInteger,UP:UnivariatePolynomialCategory(Integer))->etc`(p,UP)`GALFACS`1358109
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1358150
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1358357
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1358432
pGcdBasis`1`n`(GcdDomain)->etc`(R)`GCDBAS`1358503
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1358649
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1358795
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1358945
pGenerateEllipticIntegrals`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:Join(Field,etc))->etc`(F,UP,UPUP,R)`INTGEL`1359029
pGenerateUnivariatePowerSeries1`1`n`(Ring)->etc`(R)`GENUPS1`1359112
pGenerateUnivariatePowerSeries2`1`n`(Join(Ring,etc))->etc`(FE)`GENUPS2`1359262
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(RetractableTo(Symbol),etc))->etc`(R,FE)`GENUPS`1359412
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1359530
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1360036
pGnuDraw`0`x`()->etc``GDRAW`1360405
pGosperSummationMethod`5`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V),Q:Join(RetractableTo(Fraction(Integer)),etc))->etc`(E,V,R,P,Q)`GOSPER`1360675
pGraphicsDefaults`0`x`()->etc``GRDEF`1360720
pGrayCode`0`n`()->etc``GRAY`1360815
pGroebnerFactorizationPackage`4`x`(Dom:Join(PolynomialFactorizationExplicit,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1360955
pGroebnerInternalPackage`3`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GBINTERN`1361987
pGroebnerPackage`3`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GB`1362066
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1363090
pGroupPresentationFunctions1`1`n`(SetCategory)->etc`(S)`GROUPPF1`1363278
pGuess`5`x`(F:Join(Field,etc),S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESS`1363433
pGuessAlgebraicNumber`0`n`()->etc``GUESSAN`1363597
pGuessExpBin`5`n`(F:Join(Field,etc),S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESSEB`1363670
pGuessFinite`1`x`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF`1363770
pGuessFiniteFunctions`1`n`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF1`1363850
pGuessInteger`0`x`()->etc``GUESSINT`1363934
pGuessPolynomial`1`x`(Ring)->etc`(R)`GUESSP`1364005
pGuessPolynomialFunctions`1`n`(Ring)->etc`(R)`GUESSP1`1364078
pGuessPolynomialInteger`0`x`()->etc``GUESSPI`1364160
pHallBasis`0`x`()->etc``HB`1364251
pHankelPackage`1`n`(Ring)->etc`(R)`HANKP`1364507
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1364552
pIdealDecompositionPackage`1`x`(List(Symbol))->etc`(vl)`IDECOMP`1364714
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1365008
pInfiniteLambertProduct`2`x`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1365083
pInfiniteTupleFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ITFUN2`1365159
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1365222
pInfinity`0`x`()->etc``INFINITY`1365287
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1365369
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:Join(LinearAggregate(R),etc),B:Join(LinearAggregate(Q),etc))->etc`(R,Q,A,B)`ICDEN`1365510
pInnerEigenPackage`1`n`(Field)->etc`(F)`IEP`1365680
pInnerMatrixLinearAlgebraFunctions`4`n`(R:DivisionRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1365992
pInnerMatrixQuotientFieldFunctions`8`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col),QF:QuotientFieldCategory(R),Row2:FiniteLinearAggregate(QF),Col2:FiniteLinearAggregate(QF),M2:MatrixCategory(QF,Row2,Col2))->etc`(R,Row,Col,M,QF,Row2,Col2,M2)`IMATQF`1366153
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`1366408
pInnerModularHermitePade`0`n`()->etc``IMODHP`1366725
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1367036
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1367293
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1367441
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1367613
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1368198
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1368264
pInnerTrigonometricManipulations`3`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1368306
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1368489
pIntegerBits`0`n`()->etc``INTBIT`1368533
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`1368601
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1368712
pIntegerLinearDependence`1`x`(LinearlyExplicitOver(Integer))->etc`(R)`ZLINDEP`1369076
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1369130
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1369212
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1369418
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1369477
pIntegerSmithNormalForm`0`n`()->etc``ISMITH`1369589
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1369775
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1369958
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1370097
pIntegrateSolutions`2`n`(F:Join(Field,etc),L:Join(UnivariateSkewPolynomialCategory(F),etc))->etc`(F,L)`INTDSOL`1370215
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1370331
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1370384
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1370656
pIntegrationTools`2`n`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1370857
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1370891
pInternalRationalUnivariateRepresentationPackage`5`n`(R:Join(PolynomialFactorizationExplicit,etc),E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`IRURPK`1370965
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1371499
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1371560
pJetCoordinateTransformation`4`n`(JetBundleCategory,JB2:JetBundleCategory,Vector(JetBundleExpression(JB2)),Vector(JetBundleExpression(JB2)))->etc`(JB1,JB2,Y,W)`JCT`1372119
pJetGroebner`5`n`(R:GcdDomain,JB:JetBundleCategory,LJV:List(JB),P:Join(JetBundleFunctionCategory(JB),etc),DirectProductCategory(#(LJV),NonNegativeInteger))->etc`(R,JB,LJV,P,E)`JGB`1372487
pJFriCASSupport`0`n`()->etc``JFRICAS`1372882
pKernelFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`KERNEL2`1373222
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1373287
pLaplaceTransform`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1373446
pLazardSetSolvingPackage`6`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),RegularTriangularSetCategory(R,E,V,P),ST:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS,ST)`LAZM3PK`1373507
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:GcdDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1374031
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1374266
pLiftLinearDependence`3`n`(F:Field,Q:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,Q,UP)`LLINDEP`1375120
pLinearCombinationUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LINCOMB`1375259
pLinearDependence`2`n`(S:IntegralDomain,R:LinearlyExplicitOver(S))->etc`(S,R)`LINDEP`1375342
pLinearOrdinaryDifferentialOperator3Aux`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,A,R)`LODO3AUX`1375378
pLinearOrdinaryDifferentialOperatorFactorizer2`2`n`(Symbol,cen:Expression(Integer))->etc`(var,cen)`LODOF2`1375524
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1375697
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1375869
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1376004
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1376255
pLinearSystemMatrixPackage2`1`n`(IntegralDomain)->etc`(S)`LSMP2`1376549
pLinearSystemMatrixPackage`4`x`(F:Field,Row:Join(FiniteLinearAggregate(F),etc),Col:Join(FiniteLinearAggregate(F),etc),M:MatrixCategory(F,Row,Col))->etc`(F,Row,Col,M)`LSMP`1376613
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1376689
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1376784
pLiouvillianFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1377109
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1377186
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1377333
pListPackage`1`n`(BasicType)->etc`(T)`LISTPKG`1377482
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1377506
pLLLReduction`0`n`()->etc``LLLRED`1377918
pLODOConvertions`3`n`(Coeff:Ring,Ab:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,Ab,R)`LODOCONV`1378124
pLUDecomposition`1`n`(Field)->etc`(D)`LUD`1378297
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1378438
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1378500
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1378727
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1378792
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1378929
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1378991
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1379028
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1379065
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1379102
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1379139
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1379176
pMathematicalSymbols`0`n`()->etc``MATHSYM`1379213
pMatrixCategoryFunctions2`8`x`(R1:Join(SemiRng,etc),Row1:FiniteLinearAggregate(R1),Col1:FiniteLinearAggregate(R1),M1:MatrixCategory(R1,Row1,Col1),R2:Join(SemiRng,etc),Row2:FiniteLinearAggregate(R2),Col2:FiniteLinearAggregate(R2),M2:MatrixCategory(R2,Row2,Col2))->etc`(R1,Row1,Col1,M1,R2,Row2,Col2,M2)`MATCAT2`1379331
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1379485
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1379639
pMatrixManipulation`4`n`(R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:TwoDimensionalArrayCategory(R,Row,Col))->etc`(R,Row,Col,M)`MAMA`1379747
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1379966
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1380019
pModularAlgebraicGcd2`6`n`(PT:Type,MP:Type,MPT:Type,MD:Type,ModularEvaluationCategory(PT,MP),ModularAlgebraicGcdOperations(MP,MPT,MD))->etc`(PT,MP,MPT,MD,ME,MO)`MAGCD2`1380071
pModularAlgebraicGcd`3`n`(MPT:Type,MD:Type,ModularAlgebraicGcdOperations(Polynomial(Integer),MPT,MD))->etc`(MPT,MD,MO)`MAGCD`1380358
pModularFactorization`0`n`()->etc``MODFACT`1380476
pModularFactorizationGeneral`5`n`(PA:Type,MMT:Type,MD:Type,PMD:Type,ModularFactorizationOperations(PA,MMT,MD,PMD))->etc`(PA,MMT,MD,PMD,MO)`MODFACTG`1380620
pModularFactorizationK`1`n`(FiniteFieldCategory)->etc`(K)`MODFACK`1380833
pModularHermitePade`0`n`()->etc``MODHP`1380977
pModularHermitePadeSolver`2`n`(CommutativeRing,S:CommutativeRing)->etc`(F,S)`MODHPS`1381209
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1381289
pModularU32MatrixOperations`0`n`()->etc``MATOP32`1381330
pMomentPackage`1`n`(CommutativeRing)->etc`(R)`MOMPKG`1381468
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1381574
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1381707
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1381755
pMPolyCatFunctions2`7`x`(VarSet:OrderedSet,E1:OrderedAbelianMonoidSup,E2:OrderedAbelianMonoidSup,R:Ring,S:Ring,PR:PolynomialCategory(R,E1,VarSet),PS:PolynomialCategory(S,E2,VarSet))->etc`(VarSet,E1,E2,R,S,PR,PS)`MPC2`1382019
pMPolyCatFunctions3`7`n`(Vars1:OrderedSet,Vars2:OrderedSet,E1:OrderedAbelianMonoidSup,E2:OrderedAbelianMonoidSup,R:Ring,PR1:PolynomialCategory(R,E1,Vars1),PR2:PolynomialCategory(R,E2,Vars2))->etc`(Vars1,Vars2,E1,E2,R,PR1,PR2)`MPC3`1382051
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1382086
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1382448
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1382814
pMrvLimitPackage`0`n`()->etc``MRVLIM`1383037
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1383101
pMultipleMap`6`n`(R1:IntegralDomain,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),R2:IntegralDomain,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)))->etc`(R1,UP1,UPUP1,R2,UP2,UPUP2)`MMAP`1383183
pMultiplicativeDependence`0`n`()->etc``MULDEP`1383241
pMultiVariableCalculusFunctions`4`n`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:FiniteLinearAggregate(S))->etc`(S,F,FLAF,FLAS)`MCALCFN`1383300
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(PolynomialFactorizationExplicit,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1383555
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1383705
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1383968
pNaiveBeckermannLabahnModular`0`n`()->etc``NBLM`1384196
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1384446
pNewtonInterpolation`1`n`(IntegralDomain)->etc`(F)`NEWTON`1384770
pNGroebnerPackage`3`n`(Dom:LeftOreRing,Expon:OrderedAbelianMonoidSup,Dpol:SolvableSkewPolynomialCategory(Dom,Expon))->etc`(Dom,Expon,Dpol)`NGROEB`1384905
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1385181
pNonLinearFirstOrderODESolver`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1385342
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1385496
pNormalizationPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`NORMPK`1385730
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1385872
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1385989
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1386024
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1386256
pNumberFormats`0`n`()->etc``NUMFMT`1386495
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1386647
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1386713
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1386814
pNumericalQuadrature`1`x`(FloatingPointSystem)->etc`(F)`NUMQUAD`1391375
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1394715
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1394987
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1395112
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1395347
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1395426
pODEIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1395607
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1395774
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1395840
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1395986
pOpenMathPackage`0`x`()->etc``OMPKG`1396036
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1396143
pOperationsQuery`0`x`()->etc``OPQUERY`1396509
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1396592
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1396640
pOrePolynomialMatrixOperations`2`n`(F:Field,LO:UnivariateSkewPolynomialCategory(F))->etc`(F,LO)`OREMAT`1396756
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1396830
pOutputFormTools`0`n`()->etc``OFTOOL`1396907
pOutputPackage`0`x`()->etc``OUT`1396980
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1397037
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1397155
pPadeContinuousFraction`2`n`(Field,xs:Symbol)->etc`(F,xs)`PADECF`1397273
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1397378
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1397907
pParallelIntegrationTools`3`n`(R:Field,V:OrderedSet,P:PolynomialCategory(R,IndexedExponents(V),V))->etc`(R,V,P)`PIT`1397976
pParametricIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPAR2`1398027
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1398133
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1399189
pParametricRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEPAR`1399224
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1399418
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1399453
pParametricTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTPAR1`1399488
pPartialDifferentialOperatorHelper`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->etc`(R,Var)`PDOHLP`1399567
pPartialFractionPackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1399676
pPartialFractionUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PFUTIL`1399945
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1400015
pPathArrayPackage`1`n`(Ring)->etc`(R)`PARRPKG`1400178
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1400236
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1400264
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1400296
pPatternMatchAssertions`0`x`()->etc``PMASS`1400368
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1400456
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1400533
pPatternMatchIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1400603
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(Comparable,etc))->etc`(S,E)`PMKERNEL`1400798
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1400867
pPatternMatchPolynomialCategory`5`n`(S:SetCategory,E:OrderedAbelianMonoidSup,V:OrderedSet,R:Join(Ring,etc),P:Join(PolynomialCategory(R,E,V),etc))->etc`(S,E,V,R,P)`PMPLCAT`1400934
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1401007
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1401085
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1401156
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1401204
pPatternMatchTools`3`n`(S:SetCategory,R:Join(Comparable,etc),P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1401273
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1401334
pPermutationGroupExamples`0`x`()->etc``PGE`1401429
pPiCoercions`1`x`(Join(Comparable,etc))->etc`(R)`PICOERCE`1401823
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1401944
pPlotTools`0`n`()->etc``PLOTTOOL`1402098
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1402142
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1402177
pPointsOfFiniteOrder`5`n`(R0:Join(Comparable,etc),F:FunctionSpace(R0),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`PFO`1402212
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1402315
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1402418
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1402454
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1402536
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1403231
pPolynomialCategoryLifting`5`n`(E:OrderedAbelianMonoidSup,Vars:OrderedSet,R:Join(SemiRng,etc),P:PolynomialCategory(R,E,Vars),S:etc)->etc`(E,Vars,R,P,S)`POLYLIFT`1403344
pPolynomialCategoryQuotientFunctions`5`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:Ring,P:PolynomialCategory(R,E,V),F:Join(Field,etc))->etc`(E,V,R,P,F)`POLYCATQ`1403635
pPolynomialCommonDenominator`5`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:PolynomialCategory(Q,E,VarSet))->etc`(R,Q,E,VarSet,P)`PCDEN`1403757
pPolynomialEvaluationUtilities`0`n`()->etc``PEVALUT`1403916
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1404326
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1404539
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`1404667
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1404981
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`1405035
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1405089
pPolynomialRationalRoots`2`n`(F:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PRROOT`1405184
pPolynomialRoots`5`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V),F:Join(Field,etc))->etc`(E,V,R,P,F)`POLYROOT`1405290
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1405366
pPolynomialSolveByFormulas`3`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc),Join(PolynomialFactorizationExplicit,etc))->etc`(UP,F,RR)`SOLVEFOR`1405656
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1405894
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1406314
pPosetFactory`1`n`(SetCategory)->etc`(S)`POSETF`1406547
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1406765
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1407007
pPrimGCD`0`n`()->etc``PRIGCD3`1407185
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1407408
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1407548
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1407647
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1407876
pPrintPackage`0`x`()->etc``PRINT`1407940
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1408005
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1408122
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1408853
pPureAlgebraicLODE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`ODEPAL`1409019
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1409111
pQuasiAlgebraicSet2`1`n`(List(Symbol))->etc`(vl)`QALGSET2`1409148
pQuasiComponentPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`QCMPACK`1410371
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1410545
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1410743
pRadicalEigenPackage`0`x`()->etc``REP`1410852
pRadicalSolvePackage`1`x`(Join(PolynomialFactorizationExplicit,etc))->etc`(R)`SOLVERAD`1411134
pRadixUtilities`0`x`()->etc``RADUTIL`1411307
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1411374
pRandomFloatDistributions`0`n`()->etc``RFDIST`1411424
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1411489
pRandomNumberSource`0`x`()->etc``RANDSRC`1411540
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`1411697
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1412186
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1412284
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1412411
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1412533
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1412616
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1412670
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1412743
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1412788
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1412870
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1412933
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1413082
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1413140
pRationalUnivariateRepresentationPackage`2`n`(Join(PolynomialFactorizationExplicit,etc),List(Symbol))->etc`(R,ls)`RURPK`1413203
pRDEaux`1`n`(Field)->etc`(F)`RDEAUX`1413630
pRealNormalizationUtilities`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RNORM`1413689
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1413776
pRealSolvePackage`0`n`()->etc``REALSOLV`1413877
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1413981
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1414272
pRectangularMatrixCategoryFunctions2`10`x`(m:NonNegativeInteger,n:NonNegativeInteger,R1:Join(SemiRng,etc),Row1:DirectProductCategory(n,R1),Col1:DirectProductCategory(m,R1),M1:RectangularMatrixCategory(m,n,R1,Row1,Col1),R2:Join(SemiRng,etc),Row2:DirectProductCategory(n,R2),Col2:DirectProductCategory(m,R2),M2:RectangularMatrixCategory(m,n,R2,Row2,Col2))->etc`(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)`RMCAT2`1414562
pRecurrenceOperator`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`RECOP`1414727
pReducedDivisor`5`n`(F1:Field,UP:UnivariatePolynomialCategory(F1),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F1,UP,UPUP),F2:Join(Finite,etc))->etc`(F1,UP,UPUP,R,F2)`RDIV`1414910
pReduceLODE`5`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F),UP:UnivariatePolynomialCategory(F),A:MonogenicAlgebra(F,UP),LO:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(F,L,UP,A,LO)`ODERED`1415006
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1415108
pRegularSetDecompositionPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSDCMPK`1415259
pRegularTriangularSetGcdPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSETGCD`1416541
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1416699
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1416754
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1416809
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1417312
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1417860
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1417959
pRootFSSplit`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`RFSSPLIT`1418111
pRootSimplification`0`n`()->etc``RSIMP`1418186
pRootUtilities`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ROOTUT`1418287
pScanningUtilities`0`n`()->etc``SCANUTIL`1418336
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1418374
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1418477
pSequenceFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`SEQU2`1418555
pSimplicialComplexFactory`1`n`(AbelianGroup)->etc`(VS)`SIMPCF`1418604
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1418674
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1418782
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1418889
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1419245
pSparsePolynomialCoercionHelpers`3`n`(Ring,VarSet1:OrderedSet,VarSet2:OrderedSet)->etc`(R,VarSet1,VarSet2)`SMPCOER`1419293
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1419389
pSpecialFunctionUnivariateTaylorSeries`2`n`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`SPFUTS`1419713
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1419792
pSquareFreeQuasiComponentPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFQCMPK`1419884
pSquareFreeRegularSetDecompositionPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SRDCMPK`1420067
pSquareFreeRegularTriangularSetGcdPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFRGCD`1421270
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1421530
pSTransformPackage`4`x`(R:Join(CommutativeRing,etc),UTSR:UnivariateTaylorSeriesCategory(R),ULSR:UnivariateLaurentSeriesConstructorCategory(R,UTSR),UPSR:UnivariatePuiseuxSeriesConstructorCategory(R,ULSR))->etc`(R,UTSR,ULSR,UPSR)`STRANS`1421828
pStreamExponentialSeriesOperations`1`n`(CommutativeRing)->etc`(Coef)`STEXPS`1421907
pStreamExponentialSeriesTranscendentalFunctions`1`n`(Join(Algebra(Fraction(Integer)),etc))->etc`(Coef)`STEXPST`1422069
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1422245
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1422307
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1422370
pStreamTensor`1`n`(Type)->etc`(R)`STNSR`1422435
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1422491
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1422653
pStructuralConstantsPackage`1`x`(IntegralDomain)->etc`(R)`SCPKG`1422857
pSturmHabichtPackage`2`x`(R:Join(OrderedRing,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SHP`1423045
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1423166
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1423438
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1423506
pSymmetryAnalysis`3`n`(JetBundleCategory,xi:Union(Symbol,List(Symbol)),eta:Union(Symbol,List(Symbol)))->etc`(JB1,xi,eta)`SYMANA`1423709
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1423987
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`1424112
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1424970
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1425170
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1425584
pTaylorSolve`3`n`(F:Field,UTSF:UnivariateTaylorSeriesCategory(F),UTSSMPF:UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(F,UTSF,UTSSMPF)`UTSSOL`1425638
pTemplateUtilities`0`n`()->etc``TEMUTL`1425808
pTensorPowerFunctions2`5`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M1:FreeModuleCategory(R,B),M2:Module(R))->etc`(n,R,B,M1,M2)`TENSPO2`1425874
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1425921
pTexParser`0`n`()->etc``TEXPARSE`1426066
pTeXScanner`0`n`()->etc``TEXSCAN`1426167
pTimeoutPackage`1`n`(Type)->etc`(S)`TIMEOUT`1426218
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1426273
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1426319
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1426415
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1426535
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1426651
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1426780
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1426855
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1426905
pTranscendentalManipulations`2`x`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1426997
pTransSolvePackage`1`x`(Join(Comparable,etc))->etc`(R)`SOLVETRA`1427123
pTransSolvePackageService`1`n`(Join(Comparable,etc))->etc`(R)`SOLVESER`1427954
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1428396
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1428858
pTrigonometricManipulationsAux`2`n`(G:Join(IntegralDomain,etc),FG:Join(FunctionSpace(G),etc))->etc`(G,FG)`TRIGMNPA`1429008
pTubePlotTools`0`n`()->etc``TUBETOOL`1429191
pTwoDimensionalArrayFunctions`8`n`(A:Type,RA:FiniteLinearAggregate(A),CA:FiniteLinearAggregate(A),MA:TwoDimensionalArrayCategory(A,RA,CA),B:Type,RB:FiniteLinearAggregate(B),CB:FiniteLinearAggregate(B),MB:TwoDimensionalArrayCategory(B,RB,CB))->etc`(A,RA,CA,MA,B,RB,CB,MB)`ARRAY22`1429268
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1429354
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1429468
pU32VectorPolynomialOperations`0`n`()->etc``POLYVEC`1429636
pUnitGaussianElimination`0`n`()->etc``UGAUSS`1429905
pUnittest`0`n`()->etc``TESTUNIT`1429981
pUnittestAux`1`n`(BasicType)->etc`(R)`TESTAUX`1430166
pUnittestCount`0`n`()->etc``TESTCNT`1430288
pUnivariateFiniteFieldFactorize`2`n`(F:FiniteFieldCategory,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`UFFACT`1430515
pUnivariateFormalPowerSeriesFunctions`1`n`(Ring)->etc`(Coef)`UFPS1`1430689
pUnivariateLaurentSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1430782
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Join(SemiRng,etc),PR:UnivariatePolynomialCategory(R),S:Join(SemiRng,etc),PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1430933
pUnivariatePolynomialCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`1431077
pUnivariatePolynomialDecompositionPackage`2`x`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1431170
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1431356
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1431504
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1431844
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1432134
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1432792
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1432943
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1433072
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1433221
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1433373
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1433451
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1433518
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1433750
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1433880
pVectorHermitePadeSolver`0`n`()->etc``VHPSOLV`1434172
pVectorPolynomialOperationsF`1`n`(FiniteFieldCategory)->etc`(K)`POLVECF`1434296
pVectorPolynomialOperationsP`1`n`(PositiveInteger)->etc`(p)`POLVECP`1434451
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1434595
pViewportPackage`0`n`()->etc``VIEW`1434684
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1434811
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1435373
pXDistributedPolynomialFunctions`2`n`(OrderedSet,F:Field)->etc`(VAR,F)`XDPOLYF`1435722
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1436014
pXPolynomialFactor`2`n`(OrderedSet,F:Field)->etc`(vl,F)`XPFACT`1436134
pZeroDimensionalSolvePackage`3`x`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1436195
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1437492
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1437619
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1437747
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1438335
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1438487
xAIntervalCategory&`2`n`(AIntervalCategory(R),R:OrderedAbelianSemiGroup)->etc`(S,R)`AINTCAT-`1438993
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1439229
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1439323
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),Join(Comparable,etc))->etc`(S,R)`ACFS-`1439370
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1439426
xAssociationListAggregate&`3`n`(AssociationListAggregate(Key,Entry),SetCategory,Entry:Type)->etc`(S,Key,Entry)`ALAGG-`1439484
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1439654
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1439877
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1439996
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1440135
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1440354
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1440454
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1440886
xDictionary&`2`n`(Dictionary(S),S:Type)->etc`(A,S)`DIAGG-`1440974
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:Type)->etc`(A,S)`DIOPS-`1441293
xDifferentialExtension&`2`n`(DifferentialExtension(R),R:Ring)->etc`(S,R)`DIFEXT-`1441424
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1441551
xDifferentialRing&`1`n`(DifferentialRing)->etc`(S)`DIFRING-`1442836
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1442945
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1445247
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1445391
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1445559
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:Type,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1445606
xEntireRing&`1`n`(EntireRing)->etc`(S)`ENTIRER-`1445960
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1446109
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1446498
xExpressionSpace2&`2`n`(ExpressionSpace2(K),K:KernelCategory(%))->etc`(S,K)`ESC2-`1446656
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1446734
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1447124
xFacetCategory&`1`n`(FacetCategory)->etc`(S)`FACTCAT-`1447213
xField&`1`n`(Field)->etc`(S)`FIELD-`1447421
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1447642
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1447879
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1448110
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1448278
xFiniteDivisorCategory&`5`n`(FiniteDivisorCategory(F,UP,UPUP,R),F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(S,F,UP,UPUP,R)`FDIVCAT-`1449772
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1450001
xFiniteGraph&`2`n`(FiniteGraph(S),S:SetCategory)->etc`(A,S)`FGRPH-`1450062
xFiniteGroup&`1`n`(FiniteGroup)->etc`(S)`FINGRP-`1450140
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1450179
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1450302
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1450454
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1450652
xFormatterCategory&`1`n`(FormatterCategory)->etc`(S)`FMTCAT-`0
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1451662
xFramedModule&`2`n`(FramedModule(R),R:Join(SemiRng,etc))->etc`(S,R)`FRMOD-`1451776
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1451873
xFreeModuleCategory&`3`n`(FreeModuleCategory(R,S),R:Join(SemiRng,etc),S:SetCategory)->etc`(A,R,S)`FMCAT-`1452152
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1452969
xFullyLinearlyExplicitOver&`2`n`(FullyLinearlyExplicitOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1453092
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1453306
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1453611
xFunctionSpace2&`3`n`(FunctionSpace2(R,K),R:Comparable,K:KernelCategory(%))->etc`(S,R,K)`FSC2-`1453695
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1453775
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1454079
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1454431
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1454969
xHashable&`1`n`(Hashable)->etc`(S)`HASHABL-`1455080
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1455165
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1455689
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:Type,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1455750
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1456006
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1456332
xJetBundleBaseFunctionCategory&`2`n`(JetBundleBaseFunctionCategory(JB),JetBundleCategory)->etc`(S,JB)`JBBFC-`1456399
xJetBundleCategory&`1`n`(JetBundleCategory)->etc`(S)`JBC-`1456688
xJetBundleFunctionCategory&`2`n`(JetBundleFunctionCategory(JB),JB:JetBundleCategory)->etc`(S,JB)`JBFC-`1457353
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`KDAGG-`1457778
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1457888
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1458544
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1458610
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1458768
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1459442
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1459709
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1459898
xMagma&`1`n`(Magma)->etc`(S)`MAGMA-`1459984
xMagmaWithUnit&`1`n`(MagmaWithUnit)->etc`(S)`MAGMAWU-`1460089
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:AbelianMonoid,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1460532
xMaybeSkewPolynomialCategory&`4`n`(MaybeSkewPolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`GPOLCAT-`1461140
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1461321
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1461389
xMultivariateTaylorSeriesCategory&`3`n`(MultivariateTaylorSeriesCategory(Coef,Var),Coef:Ring,Var:OrderedSet)->etc`(S,Coef,Var)`MTSCAT-`1461500
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1461609
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NARING-`1461806
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1461951
xNonAssociativeSemiRng&`1`n`(NonAssociativeSemiRng)->etc`(S)`NASRNG-`1462305
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1462428
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1462643
xOpenMath&`1`n`(OpenMath)->etc`(S)`OM-`1463432
xOrderedAbelianGroup&`1`n`(OrderedAbelianGroup)->etc`(S)`OAGROUP-`1463524
xOrderedSet&`1`n`(OrderedSet)->etc`(S)`ORDSET-`1463623
xPartialDifferentialRing&`2`n`(PartialDifferentialRing(S),S:SetCategory)->etc`(A,S)`PDRING-`1463936
xPartialOrder&`1`n`(PartialOrder)->etc`(S)`PORDER-`1464043
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1464160
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1464373
xPolynomialSetCategory&`5`n`(PolynomialSetCategory(R,E,VarSet,P),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:RecursivePolynomialCategory(R,E,VarSet))->etc`(S,R,E,VarSet,P)`PSETCAT-`1464518
xPoset&`2`n`(Poset(S),S:SetCategory)->etc`(A,S)`POSET-`1465115
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1465318
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1465444
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1465583
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1465676
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1465748
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1465844
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1466140
xRectangularMatrixCategory&`6`n`(RectangularMatrixCategory(m,n,R,Row,Col),m:NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc),Row:DirectProductCategory(n,R),Col:DirectProductCategory(m,R))->etc`(S,m,n,R,Row,Col)`RMATCAT-`1466252
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1466482
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1466927
xRegularTriangularSetCategory&`5`n`(RegularTriangularSetCategory(R,E,V,P),R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(S,R,E,V,P)`RSETCAT-`1467387
xRetractableFrom&`2`n`(RetractableFrom(S),S:Type)->etc`(A,S)`RETFROM-`1469575
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1469754
xRng&`1`n`(Rng)->etc`(S)`RNG-`1469931
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1470151
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1470476
xSPointCategory&`1`n`(SPointCategory)->etc`(S)`SPTCAT-`1470749
xSquareMatrixCategory&`5`n`(SquareMatrixCategory(ndim,R,Row,Col),ndim:NonNegativeInteger,R:Join(SemiRng,etc),Row:DirectProductCategory(ndim,R),Col:DirectProductCategory(ndim,R))->etc`(S,ndim,R,Row,Col)`SMATCAT-`1471080
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1471338
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1471599
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`TBAGG-`1471700
xTaylorSeriesExpansion&`6`n`(TaylorSeriesExpansion(Coef,Expon,Var,PS,UTS),Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,Var:OrderedSet,PS:PowerSeriesCategory(Coef,Expon,Var),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,Expon,Var,PS,UTS)`TSEREXP-`1471820
xTensorPowerCategory&`4`n`(TensorPowerCategory(n,R,M),NonNegativeInteger,R:CommutativeRing,M:Module(R))->etc`(S,n,R,M)`TENSPC-`1471881
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1471950
xTriangularSetCategory&`5`n`(TriangularSetCategory(R,E,V,P),R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(S,R,E,V,P)`TSETCAT-`1472012
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1473036
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:IndexedAggregate(Integer,R),Col:IndexedAggregate(Integer,R))->etc`(S,R,Row,Col)`ARR2CAT-`1473086
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1473632
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1474094
xUnivariateLaurentSeriesCategory&`2`n`(UnivariateLaurentSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`ULSCAT-`1474266
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1474368
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Join(SemiRng,etc))->etc`(S,R)`UPOLYC-`1474661
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1474810
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1475158
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1475455
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1475834
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1475934
