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dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`63417
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`63769
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`63991
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`64206
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`64340
dBinaryFile`0`x`()->Join(FileCategory(FileName,SingleInteger),etc)``BINFILE`64430
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`64548
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`64797
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`65087
dBitStreamFrame`0`n`()->Join(Lattice,etc)``BITST`65321
dBits`0`x`()->Join(BitAggregate,etc)``BITS`65403
dBoolean`0`x`()->Join(OrderedSet,etc)``BOOLEAN`65470
dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`65577
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`66983
dCell`1`n`(RealClosedField)->Join(CoercibleTo(OutputForm),etc)`(TheField)`CELL`0
dChainComplex`0`n`()->Join(SetCategory,etc)``CHAINC`67231
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`67642
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`67732
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,SquareMatrix(n,K))->Join(Ring,etc)`(n,K,bLin)`CLIF`67790
dCoChainComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`COCHNC`68053
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`68468
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`68578
dComplexDoubleFloatMatrix`0`n`()->MatrixCategory(Complex(DoubleFloat),ComplexDoubleFloatVector,ComplexDoubleFloatVector)``CDFMAT`68613
dComplexDoubleFloatVector`0`n`()->Join(VectorCategory(Complex(DoubleFloat)),etc)``CDFVEC`68833
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`69052
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`69257
dCubicalFacet`0`n`()->Join(FacetCategory,etc)``CFACET`69850
dCyclicGroup`2`n`(PositiveInteger,Symbol)->Join(FiniteGroup,etc)`(n,g)`CYCGRP`70185
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`70226
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`70282
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`70389
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`70653
dDeltaComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`DELTAC`70744
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`71391
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`71678
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`71724
dDihedralGroup`3`n`(PositiveInteger,Symbol,Symbol)->Join(FiniteGroup,etc)`(n,a,b)`DIHGRP`71990
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`72123
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`72209
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`72308
dDirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`DGRPH`72917
dDirichletRing`1`n`(Ring)->Join(Ring,etc)`(Coef)`DIRRING`72997
dDistributedJetBundlePolynomial`4`n`(Ring,JB:JetBundleCategory,LJV:List(JB),E:DirectProductCategory(#(LJV),NonNegativeInteger))->Join(PolynomialCategory(R,E,JB),etc)`(R,JB,LJV,E)`DJBP`73100
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`73365
dDistribution`1`x`(CommutativeRing)->Join(DistributionCategory(R),etc)`(R)`DISTRO`73728
dDoubleFloatMatrix`0`n`()->MatrixCategory(DoubleFloat,DoubleFloatVector,DoubleFloatVector)``DFMAT`73873
dDoubleFloatVector`0`n`()->Join(VectorCategory(DoubleFloat),etc)``DFVEC`74085
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`74296
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`76146
dElementaryFunctionsGeneralizedUnivariatePowerSeries`3`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,PS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc))->Join(PartialTranscendentalFunctions(PS),etc)`(Coef,Expon,PS)`EFGUSER`0
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`76240
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`76659
dEnumeration`1`x`special`(a,b,...,c)`ENUM`77078
dEqTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`77234
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`77399
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`77639
dExit`0`x`()->SetCategory``EXIT`77839
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`78126
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Join(Field,etc),var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`78419
dExpression`1`x`(Comparable)->Join(FunctionSpace(R),etc)`(R)`EXPR`79200
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`79248
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`80092
dFakePolynomial`0`n`()->Join(CoercibleTo(OutputForm),etc)``FAKEPOL`80937
dFileName`0`x`()->FileNameCategory``FNAME`81268
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`81337
dFiniteBiCPO`1`n`(SetCategory)->BiCPO(S)`(S)`FBICPO`81471
dFiniteCoDcpo`1`n`(SetCategory)->CoDcpo(S)`(S)`FCDCPO`81907
dFiniteCubicalComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`CUBEC`82380
dFiniteDcpo`1`n`(SetCategory)->Dcpo(S)`(S)`FDCPO`82681
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`83154
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`83383
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`83991
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`84629
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`85286
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`85560
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`85859
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`86377
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`86892
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`87389
dFiniteLattice`2`n`(S:SetCategory,FiniteBiCPO(S))->Join(Lattice,etc)`(S,p)`FINLAT`87588
dFiniteMoebiusFunction`1`n`(Join(PartialOrder,etc))->Join(SetCategory,etc)`(P)`FMOEBF`87846
dFinitePoset`1`n`(SetCategory)->Poset(S)`(S)`FPOSET`87925
dFiniteSimplicialComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`SIMPC`88398
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`88875
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`89891
dFortranCode`0`n`()->Join(SetCategory,etc)``FC`93673
dFortranExpression`3`n`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`93779
dFortranFormat`0`n`()->OutputFormatterCategory``FORTFORM`0
dFortranProgram`4`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol),SymbolTable)->Join(FortranProgramCategory,etc)`(name,returnType,arguments,symbols)`FORTRAN`93938
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`94108
dFortranTemplate`0`n`()->Join(FileCategory(FileName,String),etc)``FTEM`94248
dFortranType`0`n`()->Join(SetCategory,etc)``FT`94291
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`94399
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`94576
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`94753
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`95021
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`95071
dFreeDivisionAlgebra`2`n`(OrderedSet,F:Field)->Join(DivisionRing,etc)`(VAR,F)`FDALG`95116
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`95225
dFreeMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`FMAGMA`95480
dFreeModule`2`n`(Join(SemiRng,etc),S:SetCategory)->Join(BiModule(R,R),etc)`(R,S)`FM`95679
dFreeMonoid`1`n`(SetCategory)->Join(Monoid,etc)`(S)`FMONOID`96489
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`97103
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`97243
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`97570
dFunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`FNGRPH`97615
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`97664
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`98225
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`98258
dGeneralQuaternion`3`n`(R:CommutativeRing,R,R)->QuaternionCategory(R)`(R,p,q)`QUAT2`98294
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:BasicType,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`98612
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`98730
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`99215
dGeneralizedFiniteMoebiusFunction`2`n`(Join(PartialOrder,etc),R:Field)->etc`(P,R)`GENMOEBF`99515
dGeneralizedUnivariatePowerSeries`4`n`(Coef:Ring,Expon:Join(OrderedAbelianMonoid,etc),Symbol,Coef)->Join(UnivariatePowerSeriesCategory(Coef,Expon),etc)`(Coef,Expon,var,cen)`GENUSER`0
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`99587
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`99753
dGroupPresentation`0`n`()->Join(SetCategory,etc)``GROUPP`99864
dGuessOptionFunctions0`0`n`()->Join(SetCategory,etc)``GOPT0`100302
dGuessOption`0`x`()->Join(SetCategory,etc)``GOPT`100414
dHTMLFormat`0`n`()->Join(SetCategory,etc)``HTMLFORM`100505
dHashState`0`n`()->etc``HASHSTAT`100589
dHashTable`3`n`(SetCategory,Entry:Type,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`100656
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`100815
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`100882
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dim,S)`(dim,S)`HDP`100977
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`101315
dHomology`0`n`()->Join(SetCategory,etc)``HOMOL`101724
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`102065
dILogic`0`n`()->Join(BoundedLattice,etc)``ILOGIC`102419
dIncidenceAlgebra`2`n`(Ring,S:SetCategory)->Join(SetCategory,etc)`(R,S)`INCALG`102475
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`102531
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`102626
dIndexedDirectProductObject`2`n`(SetCategory,S:SetCategory)->IndexedDirectProductCategory(A,S)`(A,S)`IDPO`102724
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`103214
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`103436
dIndexedJetBundle`5`n`(Symbol,Symbol,Symbol,PositiveInteger,PositiveInteger)->JetBundleCategory`(x,u,p,n,m)`IJB`104529
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`104670
dIndexedMatrix`3`n`(AbelianMonoid,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`105149
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`105620
dIndexedString`1`n`(Integer)->StringAggregate`(mn)`ISTRING`105728
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`105775
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`106354
dInfiniteCyclicGroup`1`n`(Symbol)->Join(Group,etc)`(g)`INFCG`106472
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`106502
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`106617
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`106845
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`107002
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`107118
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`107692
dInnerTable`3`n`(Key:SetCategory,Entry:Type,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`107819
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`107927
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat),etc)``INFORM`108303
dIntegerLocalizedAtPrime`1`n`(PositiveInteger)->Join(EuclideanDomain,etc)`(p)`INTLOCP`108455
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`108666
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`108759
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`108837
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`109341
dJetBundleExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBE`109636
dJetBundleLinearFunction`2`n`(JB:JetBundleCategory,D:JetBundleBaseFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JBLF`109970
dJetBundlePolynomial`2`n`(Ring,JB:JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(R,JB)`JBP`110124
dJetBundleSymAna`3`n`(JetBundleCategory,Union(Symbol,List(Symbol)),Union(Symbol,List(Symbol)))->Join(JetBundleCategory,etc)`(JB1,xi,eta)`JBSA`110281
dJetBundleXExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBX`110509
dJetBundle`2`n`(List(Symbol),List(Symbol))->Join(JetBundleCategory,etc)`(IVar,DVar)`JBUNDLE`110772
dJetDifferentialEquation`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`JDE`110942
dJetDifferential`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JDIFF`111555
dJetLazyFunction`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JLF`111782
dJetVectorField`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JVF`112721
dKernel`1`n`(Comparable)->Join(CachableSet,etc)`(S)`KERNEL`112893
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`112995
dLambda`1`n`(VarCat)->Join(CoercibleTo(OutputForm),etc)`(UT)`LAMBDA`113092
dLatticeJoinOfMeets`0`n`()->Join(BoundedDistributiveLattice,etc)``LATJOFM`113123
dLatticeMeetOfJoins`0`n`()->Join(BoundedDistributiveLattice,etc)``LATMOFJ`113179
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`113235
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`113364
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`113429
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`113797
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(CoercibleTo(SquareMatrix(n,R)),etc)`(n,R)`LSQM`113989
dLinearMultivariateMatrixPencil`1`n`(Ring)->etc`(R)`LINPEN`114344
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`114616
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`114862
dLinearOrdinaryDifferentialOperator3`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->LinearOrdinaryDifferentialOperatorCategory(R)`(Coeff,A,R)`LODO3`115143
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`115400
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`115656
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`115827
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`116214
dLocalAlgebra`2`n`(Algebra(R),R:CommutativeRing)->Join(Algebra(R),etc)`(A,R)`LA`116501
dLocalize`2`n`(Module(R),R:CommutativeRing)->Join(Module(R),etc)`(M,R)`LO`116641
dLoop`0`n`()->Join(SetCategory,etc)``LOOP`116803
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`117113
dMachineComplex`0`n`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`117937
dMachineFloat`0`n`()->Join(FloatingPointSystem,etc)``MFLOAT`118039
dMachineInteger`0`n`()->Join(FortranMachineTypeCategory,etc)``MINT`118141
dMakeCachableSet`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`MKCHSET`118236
dMapping`1`x`special`(T,S)`MAPPING`118328
dMathMLFormat`0`n`()->Join(SetCategory,etc)``MMLFORM`118568
dMatrix`1`x`(AbelianMonoid)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`118663
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,Rep)`MODMON`118764
dModularAlgebraicGcdTools2`0`n`()->ModularAlgebraicGcdOperations(Polynomial(Integer),PrimitiveArray(U32Vector),Record(svz:Symbol,sm:U32Vector,sp:Integer))``MAGCDT2`0
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`0
dModularAlgebraicGcdTools4`0`n`()->ModularAlgebraicGcdOperations(FakePolynomial,SparseUnivariatePolynomial(Polynomial(Integer)),Record(svz:List(Symbol),sm:List(Polynomial(Integer)),msizes:List(Integer),sp:Integer))``MAGCDT4`0
dModularEvaluation1`0`n`()->ModularEvaluationCategory(Polynomial(Integer),Polynomial(Integer))``MEVAL1`0
dModularEvaluation2`0`n`()->ModularEvaluationCategory(Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))),FakePolynomial)``MEVAL2`0
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`118797
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`119019
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`119229
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`119262
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`119311
dMonoidRing`2`n`(Ring,M:Monoid)->MonoidRingCategory(R,M)`(R,M)`MRING`119434
dMultifunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`MFGRPH`120397
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`120446
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`120493
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`120815
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`121068
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`121254
dNone`0`n`()->SetCategory``NONE`121350
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`121624
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`122147
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`122206
dOpenMathConnection`0`x`()->etc``OMCONN`122280
dOpenMathDevice`0`x`()->etc``OMDEV`122417
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`122609
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`122683
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`122849
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`122914
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`122963
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`123222
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`123307
dOrderedExpression`0`n`()->Join(OrderedRing,etc)``OEXPR`0
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`123637
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`123684
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`123990
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`124678
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`124799
dOrientedFacet`0`n`()->Join(FacetCategory,etc)``OFACET`125027
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`125356
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`125618
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`125813
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`125886
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`126071
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`126139
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`126232
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`126323
dPartialDifferentialOperator`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var)`PDO`126407
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`126682
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`127536
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`127781
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`128017
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`128238
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`128285
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`128424
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`128893
dPi`0`x`()->Join(Field,etc)``HACKPI`129386
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`129666
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`129897
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`130233
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`130598
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`130933
dPolynomialIdeal`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`130989
dPolynomialRing`2`n`(Join(SemiRng,etc),E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`131500
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`131864
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`132153
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`132242
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`132377
dProductFacet`0`n`()->Join(FacetCategory,etc)``PFACET`132522
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`132855
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`133119
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`133182
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`134901
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`135000
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`135053
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`135097
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`135162
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`135307
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`135374
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`135611
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`135746
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`135837
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`136059
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`136312
dResult`0`n`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`136514
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`136710
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`136850
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`136946
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`137052
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`137093
dSArgand`0`n`()->Join(SPointCategory,etc)``SARGND`137162
dSBoundary`1`n`(SPointCategory)->etc`(PT)`SBOUND`137299
dSCartesian`1`n`(PositiveInteger)->SPointCategory`(n)`SCRT`138938
dSConformal`1`n`(PositiveInteger)->Join(SPointCategory,etc)`(n)`SCONF`139049
dSExpressionOf`4`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt)`(Str,Sym,Int,Flt)`SEXOF`139145
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat)``SEX`139231
dSKICombinators`1`n`(VarCat)->Join(SetCategory,etc)`(UT)`SKICOMB`139299
dSTransform`1`n`(SPointCategory)->etc`(PT)`STR`139355
dSceneIFS`1`n`(SPointCategory)->etc`(PT)`SCIFS`139678
dSceneNamedPoints`1`n`(SPointCategory)->Join(SetCategory,etc)`(PT)`SCNP`140030
dScene`1`n`(SPointCategory)->etc`(PT)`SCENE`140238
dScriptFormulaFormat`0`n`()->Join(SetCategory,etc)``FORMULA`140326
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`141027
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`141182
dSequence`1`x`(CommutativeRing)->SequenceCategory(R)`(R)`SEQU`141255
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`141364
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`141621
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`142296
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`142410
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->Join(MonogenicAlgebra(R,UP),etc)`(R,UP,M)`SAE`143518
dSimpleCell`2`n`(TheField:RealClosedField,ThePols:UnivariatePolynomialCategory(TheField))->Join(CoercibleTo(OutputForm),etc)`(TheField,ThePols)`SCELL`0
dSimpleFortranProgram`2`n`(R:OrderedSet,FS:FunctionSpace(R))->Join(FortranProgramCategory,etc)`(R,FS)`SFORT`144097
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`144343
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`144414
dSmallOrdinal`0`n`()->Join(OrderedAbelianMonoid,etc)``SORD`144516
dSortedExponentVector`0`n`()->OneDimensionalArrayAggregate(Integer)``SOREXPV`144711
dSparseEchelonMatrix`2`n`(OrderedSet,D:Ring)->Join(CoercibleTo(OutputForm),etc)`(C,D)`SEM`144817
dSparseMultivariatePolynomialExpressions`1`n`(Ring)->Join(PolynomialCategory(R,IndexedExponents(NonNegativeInteger),NonNegativeInteger),etc)`(R)`SMPEXPR`0
dSparseMultivariatePolynomial`2`n`(Join(SemiRng,etc),VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`145226
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`145574
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`145866
dSparseTable`3`n`(SetCategory,Ent:BasicType,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`146158
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`146276
dSparseUnivariatePolynomial`1`n`(Join(SemiRng,etc))->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`146842
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`147216
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`147793
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`147955
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`148538
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`149012
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`149635
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`150627
dSquareMatrix`2`n`(NonNegativeInteger,R:Join(SemiRng,etc))->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`150902
dStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`STACK`151048
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`151092
dStringTable`1`n`(Type)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`151270
dString`0`x`()->Join(StringCategory,etc)``STRING`151381
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`151428
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`151494
dSubsetLattice`2`n`(S:SetCategory,List(S))->Join(Lattice,etc)`(S,top)`SETLAT`151526
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`151784
dSwitch`0`n`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`151831
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`151943
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`152013
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`152047
dTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`152097
dTableau`1`x`(SetCategory)->Join(CoercibleTo(OutputForm),etc)`(S)`TABLEAU`152321
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`0
dTaylorSeriesExpansionLaurent`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->TaylorSeriesExpansion(Coef,Integer,SingletonAsOrderedSet,ULS,UTS)`(Coef,UTS,ULS)`TSEREXPL`0
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`0
dTaylorSeriesExpansionTaylor`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->TaylorSeriesExpansion(Coef,NonNegativeInteger,SingletonAsOrderedSet,UTS,UTS)`(Coef,UTS)`TSEREXPT`0
dTaylorSeries`1`x`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`152450
dTensorPower`4`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M:FreeModuleCategory(R,B))->Join(TensorPowerCategory(n,R,M),etc)`(n,R,B,M)`TENSPOW`152581
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`152717
dTexFormat`0`n`()->Join(SetCategory,etc)``TEX`152983
dTexmacsFormat`0`n`()->Join(SetCategory,etc)``TMFORM`153735
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`153832
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`153970
dThreeDimensionalMatrix`1`n`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`154120
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`154203
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`154270
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`154452
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`154609
dTuple`1`n`(Type)->Join(CoercibleTo(PrimitiveArray(S)),etc)`(S)`TUPLE`154756
dTwoDimensionalArray`1`n`(Type)->TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R))`(R)`ARRAY2`154886
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`155004
dTyped`0`n`()->VarCat``TYPED`155070
dU16Matrix`0`n`()->MatrixCategory(Integer,U16Vector,U16Vector)``U16MAT`155128
dU16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U16VEC`155316
dU32Matrix`0`n`()->MatrixCategory(Integer,U32Vector,U32Vector)``U32MAT`155511
dU32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U32VEC`155699
dU8Matrix`0`n`()->MatrixCategory(Integer,U8Vector,U8Vector)``U8MAT`155894
dU8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U8VEC`156081
dUndirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`UDGRPH`156275
dUnion`1`x`special`(A,B,...,C)`UNION`156324
dUnivariateFormalPowerSeries`1`n`(Ring)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef)`UFPS`0
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`156473
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`156800
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`157353
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`157568
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`157899
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`158428
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`158992
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`159167
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`159637
dUntyped`0`n`()->VarCat``UNTYPED`159754
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`160344
dVectorIntegerReconstructor`0`n`()->etc``VECREC2`160383
dVectorModularReconstructor`0`n`()->etc``VECREC1`160795
dVectorSpaceBasis`1`n`(Field)->Join(BasicType,etc)`(R)`VSBASIS`161349
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`161629
dVoid`0`x`()->etc``VOID`161756
dWeightedGraph`2`n`(SetCategory,W:OrderedAbelianMonoid)->Join(FiniteGraph(S),etc)`(S,W)`WGRPH`161980
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`162500
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`162762
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(FreeModuleCategory(R,FreeMonoid(vl)),etc)`(vl,R)`XDPOLY`163470
dXHashTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`XHASHTBL`163674
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`163784
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(XAlgebra(R),etc)`(R,E)`XPR`164068
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`164369
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`164636
dXmlAttribute`0`n`()->etc``XMLAT`164846
dXmlElement`0`n`()->etc``XMLEL`165012
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`(S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o#`1`n`(_$)->NonNegativeInteger`dTuple(S)``165265
o#`1`n`(_$)->NonNegativeInteger`dXPolynomialRing(R,E)``165333
o#`1`x`(_$)->Integer`cSExpressionCategory(Str,Sym,Int,Flt)``165392
o#`1`x`(_$)->NonNegativeInteger`cAggregate`has(_$,finiteAggregate)`165445
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``165508
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Coef,_$)->_$`dInnerTaylorSeries(Coef)``165656
o*`2`n`(D,_$)->_$`dJetLazyFunction(JB,D)``165730
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``165873
o*`2`n`(DoubleFloat,_$)->_$`cSPointCategory``166059
o*`2`n`(Fraction(Integer),S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Fraction(Integer),S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xDivisionRing&(S)``0
o*`2`n`(Fraction(Integer),S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Fraction(Integer),S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xAbelianGroup&(S)``0
o*`2`n`(Integer,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Integer,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xDivisionRing&(S)``0
o*`2`n`(Integer,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Integer,S)->S`xModule&(S,R)``0
o*`2`n`(Integer,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Integer,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(Matrix(D),_$)->_$`dSparseEchelonMatrix(C,D)``166391
o*`2`n`(Matrix(F),_$)->_$`dFreeDivisionAlgebra(VAR,F)``166460
o*`2`n`(Matrix(Fraction(D)),_$)->_$`dSparseEchelonMatrix(C,D)`has(D,IntegralDomain)`166498
o*`2`n`(Matrix(R),_$)->_$`dLinearMultivariateMatrixPencil(R)``166603
o*`2`n`(NonNegativeInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(NonNegativeInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xModule&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(NonNegativeInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(P,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``166645
o*`2`n`(Permutation(Integer),_$)->_$`dIncidenceAlgebra(R,S)``166676
o*`2`n`(PositiveInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianSemiGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(PositiveInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xModule&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(PositiveInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(R,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(R,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(R,S)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(R,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(R,S)->S`xModule&(S,R)``0
o*`2`n`(R,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(R,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(R,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(R,_$)->_$`dIncidenceAlgebra(R,S)``166774
o*`2`n`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Col)->Col`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Fraction(Integer))->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xDivisionRing&(S)``0
o*`2`n`(S,Fraction(Integer))->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,R)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,R)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,R)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,R)->S`xModule&(S,R)``0
o*`2`n`(S,R)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,R)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->S`xVectorCategory&(S,R)``0
o*`2`n`(S,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,S)->S`xDivisionRing&(S)``0
o*`2`n`(S,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,_$)->_$`dFreeGroup(S)``166867
o*`2`n`(S,_$)->_$`dFreeMonoid(S)``166943
o*`2`n`(SMP,_$)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``167019
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``167091
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``167239
o*`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``167443
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``167666
o*`2`n`(_$,Coef)->_$`dInnerTaylorSeries(Coef)``167730
o*`2`n`(_$,Integer)->_$`dInnerTaylorSeries(Coef)``167804
o*`2`n`(_$,Matrix(F))->_$`dFreeDivisionAlgebra(VAR,F)``167886
o*`2`n`(_$,Matrix(R))->_$`dLinearMultivariateMatrixPencil(R)``167927
o*`2`n`(_$,R)->_$`dIncidenceAlgebra(R,S)``167972
o*`2`n`(_$,R)->_$`dXPolynomialRing(R,E)``168065
o*`2`n`(_$,S)->_$`dFreeGroup(S)``168127
o*`2`n`(_$,S)->_$`dFreeMonoid(S)``168204
o*`2`n`(_$,_$)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``168281
o*`2`n`(_$,_$)->FunctionGraph(Product(S,S))`dFunctionGraph(S)``168714
o*`2`n`(_$,_$)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``169206
o*`2`n`(_$,_$)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``169604
o*`2`n`(_$,_$)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``170002
o*`2`n`(_$,_$)->_$`dFreeMagma(VarSet)``170400
o*`2`n`(_$,_$)->_$`dIncidenceAlgebra(R,S)``170451
o*`2`n`(_$,_$)->_$`dInputForm``170567
o*`2`n`(_$,_$)->_$`dOutputForm``170640
o*`2`n`(_$,_$)->_$`dPattern(R)``170694
o*`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``170747
o*`2`x`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``170821
o*`2`x`(DoubleFloat,_$)->_$`dColor``170907
o*`2`x`(Integer,_$)->_$`cAbelianGroup``171009
o*`2`x`(Integer,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`171078
o*`2`x`(Integer,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`171121
o*`2`x`(NonNegativeInteger,_$)->_$`cAbelianMonoid``171214
o*`2`x`(PositiveInteger,_$)->_$`cAbelianSemiGroup``171282
o*`2`x`(PositiveInteger,_$)->_$`dColor``171442
o*`2`x`(R,S)->_$`cFreeModuleCategory(R,S)``171544
o*`2`x`(R,_$)->_$`cDirectProductCategory(dim,R)`has(R,SemiGroup)`171606
o*`2`x`(R,_$)->_$`cGradedModule(R,E)``171702
o*`2`x`(R,_$)->_$`cLeftModule(R)``171750
o*`2`x`(R,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`171860
o*`2`x`(R,_$)->_$`cVectorCategory(R)`has(R,SemiGroup)`171953
o*`2`x`(Row,_$)->Row`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`172049
o*`2`x`(Row,_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``172178
o*`2`x`(S,R)->_$`cFreeModuleCategory(R,S)``172307
o*`2`x`(S,_$)->_$`dEquation(S)`has(S,SemiGroup)`172395
o*`2`x`(_$,Col)->Col`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`172493
o*`2`x`(_$,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``172625
o*`2`x`(_$,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``172757
o*`2`x`(_$,R)->_$`cDirectProductCategory(dim,R)`has(R,SemiGroup)`172822
o*`2`x`(_$,R)->_$`cGradedModule(R,E)``172915
o*`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`172964
o*`2`x`(_$,R)->_$`cRightModule(R)``173060
o*`2`x`(_$,R)->_$`cVectorCategory(R)`has(R,SemiGroup)`173171
o*`2`x`(_$,R)->_$`cXFreeAlgebra(vl,R)``173264
o*`2`x`(_$,S)->_$`dEquation(S)`has(S,SemiGroup)`173375
o*`2`x`(_$,_$)->_$`cMagma``173473
o*`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`173564
o*`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``173680
o*`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``174088
o*`2`x`(vl,_$)->_$`cXFreeAlgebra(vl,R)``174162
o+`2`n`(F,_$)->_$`dFreeDivisionAlgebra(VAR,F)``174237
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``174295
o+`2`n`(S,S)->S`xComplexCategory&(S,R)``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`xQuaternionCategory&(S,R)``0
o+`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o+`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``174548
o+`2`n`(_$,F)->_$`dFreeDivisionAlgebra(VAR,F)``174694
o+`2`n`(_$,_$)->_$`cFiniteGraph(S)``174752
o+`2`n`(_$,_$)->_$`cSPointCategory``174823
o+`2`n`(_$,_$)->_$`dIncidenceAlgebra(R,S)``175404
o+`2`n`(_$,_$)->_$`dInputForm``175516
o+`2`n`(_$,_$)->_$`dOutputForm``175589
o+`2`n`(_$,_$)->_$`dPattern(R)``175643
o+`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``175696
o+`2`x`(S,_$)->_$`cSegmentCategory(S)`has(S,AbelianSemiGroup)`175761
o+`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianSemiGroup)`175818
o+`2`x`(UP,_$)->_$`dFullPartialFractionExpansion(F,UP)``175911
o+`2`x`(_$,S)->_$`cSegmentCategory(S)`has(S,AbelianSemiGroup)`175971
o+`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianSemiGroup)`176035
o+`2`x`(_$,_$)->_$`cAbelianSemiGroup``176128
o+`2`x`(_$,_$)->_$`cGradedModule(R,E)``176188
o+`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``176368
o+`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianSemiGroup)`176480
o+`2`x`(_$,_$)->_$`dColor``176628
o+`2`x`(_$,_$)->_$`dDatabase(S)``176706
o+`2`x`(_$,_$)->_$`dOrderedCompletion(R)`has(R,AbelianMonoid)`0
o+`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``176784
o-`1`n`(S)->S`xAbelianGroup&(S)``0
o-`1`n`(S)->S`xComplexCategory&(S,R)``0
o-`1`n`(S)->S`xGradedModule&(S,R,E)``0
o-`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`1`n`(S)->S`xOctonionCategory&(S,R)``0
o-`1`n`(S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`1`n`(S)->S`xQuaternionCategory&(S,R)``0
o-`1`n`(S)->S`xVectorCategory&(S,R)``0
o-`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``176869
o-`1`n`(_$)->_$`dOutputForm``176984
o-`1`x`(_$)->_$`cAbelianGroup``177037
o-`1`x`(_$)->_$`cGradedModule(R,E)``177090
o-`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`177199
o-`1`x`(_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`177260
o-`1`x`(_$)->_$`dOrderedCompletion(R)`has(R,AbelianGroup)`0
o-`2`n`(F,_$)->_$`dFreeDivisionAlgebra(VAR,F)``177323
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``177382
o-`2`n`(S,S)->S`xAbelianGroup&(S)``0
o-`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o-`2`n`(S,S)->S`xGradedModule&(S,R,E)``0
o-`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o-`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o-`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o-`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``177638
o-`2`n`(_$,F)->_$`dFreeDivisionAlgebra(VAR,F)``177791
o-`2`n`(_$,_$)->_$`cSPointCategory``177856
o-`2`n`(_$,_$)->_$`dOutputForm``178327
o-`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianGroup)`178381
o-`2`x`(_$,S)->_$`cSegmentCategory(S)`has(S,AbelianGroup)`178481
o-`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianGroup)`178545
o-`2`x`(_$,_$)->Union(_$,"failed")`dCardinalNumber``178645
o-`2`x`(_$,_$)->_$`cAbelianGroup``178754
o-`2`x`(_$,_$)->_$`cGradedModule(R,E)``178849
o-`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`179036
o-`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`179155
o-`2`x`(_$,_$)->_$`dDatabase(S)``179310
o/\`2`n`(S,S)->S`xBitAggregate&(S)``0
o/\`2`n`(_$,_$)->_$`cMeetSemilattice``179470
o/\`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``179531
o/\`2`x`(_$,_$)->_$`dSingleInteger``179639
o/`2`n`(A,R)->_$`dLocalAlgebra(A,R)``179760
o/`2`n`(A,S)->A`xVectorSpace&(A,S)``0
o/`2`n`(F,_$)->_$`dFreeDivisionAlgebra(VAR,F)``179821
o/`2`n`(M,R)->_$`dLocalize(M,R)``179892
o/`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o/`2`n`(S,R)->S`xDirectProductCategory&(S,dim,R)``0
o/`2`n`(S,R)->S`xFiniteAbelianMonoidRing&(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,S)->S`xField&(S)``0
o/`2`n`(S,S)->S`xGroup&(S)``0
o/`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``179953
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``180142
o/`2`n`(_$,F)->_$`dFreeDivisionAlgebra(VAR,F)``180202
o/`2`n`(_$,R)->_$`dLocalAlgebra(A,R)``180270
o/`2`n`(_$,R)->_$`dLocalize(M,R)``180331
o/`2`n`(_$,R)->_$`dXPolynomialRing(R,E)`has(R,Field)`180392
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)`180433
o/`2`n`(_$,_$)->_$`dFreeDivisionAlgebra(VAR,F)``180539
o/`2`n`(_$,_$)->_$`dInputForm``180620
o/`2`n`(_$,_$)->_$`dOutputForm``180693
o/`2`n`(_$,_$)->_$`dPattern(R)``180747
o/`2`x`(S,S)->_$`cQuotientFieldCategory(S)``180800
o/`2`x`(SparseMultivariatePolynomial(R,Kernel(_$)),SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`180874
o/`2`x`(_$,Integer)->_$`cFloatingPointSystem``180962
o/`2`x`(_$,R)->_$`cAbelianMonoidRing(R,E)`has(R,Field)`181041
o/`2`x`(_$,R)->_$`cLieAlgebra(R)`has(R,Field)`181104
o/`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`181167
o/`2`x`(_$,R)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,Field)`181254
o/`2`x`(_$,S)->_$`cVectorSpace(S)``181341
o/`2`x`(_$,_$)->_$`cField``181410
o/`2`x`(_$,_$)->_$`cGroup``181506
o/`2`x`(_$,_$)->_$`dEquation(S)`has(S,Field)`181578
o0`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o0`0`n`()->_$`cDistributionCategory(R)``0
o0`0`n`()->_$`dInputForm``0
o0`0`n`()->_$`dPattern(R)``0
o0`0`n`()->_$`dVectorSpaceBasis(R)``0
o0`0`x`()->_$`cAbelianMonoid``0
o0`0`x`()->_$`cGradedModule(R,E)``0
o1`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o1`0`n`()->_$`cJetBundleCategory``0
o1`0`n`()->_$`dInputForm``0
o1`0`n`()->_$`dPattern(R)``0
o1`0`n`()->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``0
o1`0`x`()->_$`cGradedAlgebra(R,E)``0
o1`0`x`()->_$`cMagmaWithUnit``0
o<=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o<=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o<=`2`n`(_$,_$)->_$`dOutputForm``181701
o<=`2`x`(_$,_$)->Boolean`cPartialOrder``181756
o<=`2`x`(_$,_$)->Boolean`dPermutationGroup(S)``181806
o<`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o<`2`n`(A,A)->Boolean`xFiniteSetAggregate&(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`xQuotientFieldCategory&(A,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`xPartialOrder&(S)``0
o<`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o<`2`n`(_$,_$)->_$`dOutputForm``182016
o<`2`x`(_$,_$)->Boolean`cPartialOrder``182070
o<`2`x`(_$,_$)->Boolean`cPermutationCategory(S)``182110
o<`2`x`(_$,_$)->Boolean`dPermutationGroup(S)``182264
o=`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xDictionary&(A,S)``0
o=`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xHomogeneousAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o=`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
o=`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o=`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
o=`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
o=`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
o=`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o=`2`n`(_$,_$)->Boolean`cVarCat``182367
o=`2`n`(_$,_$)->Boolean`dFortranScalarType``182480
o=`2`n`(_$,_$)->Boolean`dILogic``182516
o=`2`n`(_$,_$)->Boolean`dLambda(UT)``182662
o=`2`n`(_$,_$)->Boolean`dLatticeJoinOfMeets``182955
o=`2`n`(_$,_$)->Boolean`dLatticeMeetOfJoins``183101
o=`2`n`(_$,_$)->Boolean`dLinearMultivariateMatrixPencil(R)``183247
o=`2`n`(_$,_$)->Boolean`dReference(S)``183286
o=`2`n`(_$,_$)->Boolean`dSKICombinators(UT)``183366
o=`2`n`(_$,_$)->_$`dOutputForm``183635
o=`2`x`(S,S)->_$`dEquation(S)``183689
o=`2`x`(_$,_$)->Boolean`cBasicType``183727
o>=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>=`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>=`2`n`(_$,_$)->_$`dOutputForm``183788
o>=`2`x`(_$,_$)->Boolean`cPartialOrder``183843
o>`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o>`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>`2`n`(_$,_$)->Boolean`cJetBundleCategory``183896
o>`2`n`(_$,_$)->_$`dOutputForm``183998
o>`2`x`(_$,_$)->Boolean`cPartialOrder``184052
oAND`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``184095
oAleph`1`x`(NonNegativeInteger)->_$`dCardinalNumber``184190
oAn`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``184259
oAnd`2`n`(_$,_$)->_$`dIndexedBits(mn)``184292
oAnd`2`x`(_$,_$)->_$`dSingleInteger``184384
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)``184496
oBY`2`x`(_$,Integer)->_$`cSegmentCategory(S)``185096
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``185194
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``185286
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``185371
oBeta`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``185411
oBeta`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``185684
oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``185738
oBeta`2`x`(Float,Float)->Float`pFloatSpecialFunctions``186011
oBeta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``186065
oBumInSepFFE`1`n`(Record(flag:Union("nil","sqfr","irred","prime"),factor:P,exponent:NonNegativeInteger))->Record(flag:Union("nil","sqfr","irred","prime"),factor:P,exponent:NonNegativeInteger)`pUnivariatePolynomialSquareFree(RC,P)``186133
oChi`1`n`(F)->F`pLiouvillianFunction(R,F)``186247
oChi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``186306
oChi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oChi`1`x`(Float)->Float`pFloatLiouvilianFunctions``186365
oChi`1`x`(_$)->_$`cLiouvillianFunctionCategory``186424
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``186555
oCi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``186609
oCi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oCi`1`x`(Float)->Float`pFloatLiouvilianFunctions``186663
oCi`1`x`(_$)->_$`cLiouvillianFunctionCategory``186717
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`x`()->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``186842
oD`1`n`(S)->S`xDifferentialExtension&(S,R)``0
oD`1`n`(S)->S`xDifferentialRing&(S)``0
oD`1`n`(Var)->_$`dPartialDifferentialOperator(R,Var)``186933
oD`1`n`(Var)->_$`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)``187038
oD`1`x`(_$)->_$`cDifferentialRing``187139
oD`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``187282
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,(R)->R)->S`xDifferentialExtension&(S,R)``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,Symbol)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(Symbol,List(Symbol))->_$`dJetBundle(IVar,DVar)``187336
oD`2`n`(Symbol,List(Symbol))->_$`dJetBundleSymAna(JB1,xi,eta)``187466
oD`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``187515
oD`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``187610
oD`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``187740
oD`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``187811
oD`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``187882
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,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``187975
oD`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``188104
oD`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``188269
oDelta`1`n`(Symbol)->_$`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)`has(Var,SIGNATURE(variable,Var(Symbol)))`188417
oDiffAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``188522
oDiffC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``188745
oEQ`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``189059
oEXPRR2F`1`n`(Expression(Integer))->F`pGuessFiniteFunctions(F)``0
oEXPRR2F`1`n`(Expression(Integer))->Fraction(Polynomial(R))`pGuessPolynomialFunctions(R)``0
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``189151
oEi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``189210
oEi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oEi`1`x`(Float)->Float`pFloatLiouvilianFunctions``189269
oEi`1`x`(_$)->_$`cLiouvillianFunctionCategory``189328
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)``189456
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``189514
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``189572
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``189609
oFormatRadix`2`n`(Integer,Integer)->String`pNumberFormats``189695
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``189787
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``189870
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`x`(_$)->_$`cExtensionField(F)`has(F,Finite)`189910
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(_$,NonNegativeInteger)->_$`cExtensionField(F)`has(F,Finite)`189997
oGE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``190091
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``190182
oGT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``190313
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``190403
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``190479
oGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``190641
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``190692
oGamma`1`x`(Float)->Float`pFloatSpecialFunctions``190854
oGamma`1`x`(_$)->_$`cSpecialFunctionCategory``190905
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``190956
oGamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``191047
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``191108
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``191674
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``191716
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``191757
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``191836
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``191902
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)``191954
oHankelMatrix`1`n`(List(R))->Matrix(R)`pHankelPackage(R)``192368
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``192559
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``192658
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``192864
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``193296
oHermiteIntegrate`3`n`(Fraction(UP),(UP)->UP,UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``193438
oHermiteIntegrate`3`n`(R,(UP)->UP,R)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``193883
oI`0`n`()->_$`dSKICombinators(UT)``194072
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``194111
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`194253
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`194508
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`194763
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)))`195045
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,R))->ContinuedFraction(UnivariatePolynomial(z,R))`pDistributionContinuedFractionPackage(R,z)`has(R,Field)`195151
oK`0`n`()->_$`dSKICombinators(UT)``195257
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oLE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``195296
oLLFI_to_LPA`3`n`(List(List(Fraction(Integer))),Integer,Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``195387
oLLFPI_to_LPA`5`n`(List(List(Fraction(Polynomial(Integer)))),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``195412
oLLF_to_LPA`5`n`(List(List(F)),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePadeSolver(F,S)``195437
oLLL`1`n`(Matrix(Integer))->Matrix(Integer)`pLLLReduction``195461
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``195606
oLT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``195721
oLUDecomp`1`n`(Matrix(D))->Record(LU:Matrix(D),Perm:Vector(Integer),Pivots:List(D))`pLUDecomposition(D)``195811
oLUInverse`1`n`(Matrix(D))->Record(Inv:Matrix(D),Pivots:List(D))`pLUDecomposition(D)``196050
oLUSolve`3`n`(Matrix(D),Vector(Integer),Vector(D))->Vector(D)`pLUDecomposition(D)``196135
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``196339
oLazardQuotient2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``196398
oLazardQuotient2`4`x`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`196489
oLazardQuotient`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``196622
oLazardQuotient`3`x`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`196697
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``196814
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``196950
oLiePoly`1`x`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``197028
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``197112
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``197324
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``197413
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``197496
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``197630
oMPtoMPT`4`n`(MP,Symbol,List(Symbol),MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``197754
oNOT`1`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``197837
oNOT`1`n`(_$)->_$`dSwitch``197924
oNot`1`n`(_$)->_$`dIndexedBits(mn)``198011
oNot`1`x`(_$)->_$`dSingleInteger``198085
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``198178
oOMParseError?`1`x`(_$)->Boolean`dOpenMathErrorKind``198273
oOMReadError?`1`x`(_$)->Boolean`dOpenMathErrorKind``198356
oOMUnknownCD?`1`x`(_$)->Boolean`dOpenMathErrorKind``198435
oOMUnknownSymbol?`1`x`(_$)->Boolean`dOpenMathErrorKind``198527
oOMbindTCP`2`x`(_$,SingleInteger)->Boolean`dOpenMathConnection``198620
oOMcloseConn`1`x`(_$)->Void`dOpenMathConnection``198643
oOMclose`1`x`(_$)->Void`dOpenMathDevice``198668
oOMconnInDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``198745
oOMconnOutDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``198776
oOMconnectTCP`3`x`(_$,String,SingleInteger)->Boolean`dOpenMathConnection``198808
oOMencodingBinary`0`x`()->_$`dOpenMathEncoding``198834
oOMencodingSGML`0`x`()->_$`dOpenMathEncoding``198916
oOMencodingUnknown`0`x`()->_$`dOpenMathEncoding``199005
oOMencodingXML`0`x`()->_$`dOpenMathEncoding``199200
oOMgetApp`1`x`(_$)->Void`dOpenMathDevice``199283
oOMgetAtp`1`x`(_$)->Void`dOpenMathDevice``199359
oOMgetAttr`1`x`(_$)->Void`dOpenMathDevice``199438
oOMgetBVar`1`x`(_$)->Void`dOpenMathDevice``199513
oOMgetBind`1`x`(_$)->Void`dOpenMathDevice``199598
oOMgetEndApp`1`x`(_$)->Void`dOpenMathDevice``199670
oOMgetEndAtp`1`x`(_$)->Void`dOpenMathDevice``199748
oOMgetEndAttr`1`x`(_$)->Void`dOpenMathDevice``199829
oOMgetEndBVar`1`x`(_$)->Void`dOpenMathDevice``199906
oOMgetEndBind`1`x`(_$)->Void`dOpenMathDevice``199993
oOMgetEndError`1`x`(_$)->Void`dOpenMathDevice``200067
oOMgetEndObject`1`x`(_$)->Void`dOpenMathDevice``200141
oOMgetError`1`x`(_$)->Void`dOpenMathDevice``200217
oOMgetFloat`1`x`(_$)->DoubleFloat`dOpenMathDevice``200289
oOMgetInteger`1`x`(_$)->Integer`dOpenMathDevice``200349
oOMgetObject`1`x`(_$)->Void`dOpenMathDevice``200414
oOMgetString`1`x`(_$)->String`dOpenMathDevice``200488
oOMgetSymbol`1`x`(_$)->Record(cd:String,name:String)`dOpenMathDevice``200550
oOMgetType`1`x`(_$)->Symbol`dOpenMathDevice``200612
oOMgetVariable`1`x`(_$)->Symbol`dOpenMathDevice``200691
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``200757
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``200827
oOMmakeConn`1`x`(SingleInteger)->_$`dOpenMathConnection``200894
oOMopenFile`3`x`(String,String,OpenMathEncoding)->_$`dOpenMathDevice``200918
oOMopenString`2`x`(String,OpenMathEncoding)->_$`dOpenMathDevice``201165
oOMputApp`1`x`(_$)->Void`dOpenMathDevice``201292
oOMputAtp`1`x`(_$)->Void`dOpenMathDevice``201367
oOMputAttr`1`x`(_$)->Void`dOpenMathDevice``201445
oOMputBVar`1`x`(_$)->Void`dOpenMathDevice``201519
oOMputBind`1`x`(_$)->Void`dOpenMathDevice``201603
oOMputEndApp`1`x`(_$)->Void`dOpenMathDevice``201674
oOMputEndAtp`1`x`(_$)->Void`dOpenMathDevice``201751
oOMputEndAttr`1`x`(_$)->Void`dOpenMathDevice``201831
oOMputEndBVar`1`x`(_$)->Void`dOpenMathDevice``201907
oOMputEndBind`1`x`(_$)->Void`dOpenMathDevice``201993
oOMputEndError`1`x`(_$)->Void`dOpenMathDevice``202066
oOMputEndObject`1`x`(_$)->Void`dOpenMathDevice``202139
oOMputError`1`x`(_$)->Void`dOpenMathDevice``202214
oOMputFloat`2`x`(_$,DoubleFloat)->Void`dOpenMathDevice``202285
oOMputInteger`2`x`(_$,Integer)->Void`dOpenMathDevice``202360
oOMputObject`1`x`(_$)->Void`dOpenMathDevice``202439
oOMputString`2`x`(_$,String)->Void`dOpenMathDevice``202512
oOMputSymbol`3`x`(_$,String,String)->Void`dOpenMathDevice``202589
oOMputVariable`2`x`(_$,Symbol)->Void`dOpenMathDevice``202697
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``202778
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``202868
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``202957
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``203047
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``203165
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``203254
oOMsetEncoding`2`x`(_$,OpenMathEncoding)->Void`dOpenMathDevice``203432
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``203571
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``203677
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``203823
oOMwrite`1`n`(S)->String`xOpenMath&(S)``0
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`1`x`(_$)->String`cOpenMath``203988
oOMwrite`2`n`(OpenMathDevice,S)->Void`xOpenMath&(S)``0
oOMwrite`2`n`(S,Boolean)->String`xOpenMath&(S)``0
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,_$)->Void`cOpenMath``204096
oOMwrite`2`x`(_$,Boolean)->String`cOpenMath``204229
oOMwrite`3`n`(OpenMathDevice,S,Boolean)->Void`xOpenMath&(S)``0
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oOMwrite`3`x`(OpenMathDevice,_$,Boolean)->Void`cOpenMath``204457
oOR`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``204689
oOr`2`n`(_$,_$)->_$`dIndexedBits(mn)``204782
oOr`2`x`(_$,_$)->_$`dSingleInteger``204872
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(List(NonNegativeInteger))->_$`cJetBundleCategory``204982
oP`1`n`(List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->_$`cJetBundleCategory``205091
oP`1`n`(NonNegativeInteger)->_$`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleCategory``205226
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->_$`cJetBundleCategory``205456
oP`2`n`(PositiveInteger,NonNegativeInteger)->_$`cJetBundleFunctionCategory(JB)``0
oParCondList`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR)))`pParametricLinearEquations(R,Var,Expon,GR)``205612
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``205792
oPfaffian`1`n`(S)->R`xMatrixCategory&(S,R,Row,Col)``0
oPfaffian`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`205905
oPfaffian`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`206018
oPm`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleCategory``206131
oPnan?`1`n`(_$)->Boolean`cSPointCategory``206225
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``206731
oPr`2`n`(PositiveInteger,List(PositiveInteger))->S`xJetBundleCategory&(S)``0
oPr`2`n`(PositiveInteger,List(PositiveInteger))->_$`cJetBundleCategory``206827
oR1_to_R2_coercion`1`x`(R1)->R2`pDistributionFunctions2(R1,R2)``206924
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`206988
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``207050
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``207256
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``207559
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``207647
oSEGMENT`1`n`(_$)->_$`dOutputForm``207883
oSEGMENT`1`x`(S)->_$`dUniversalSegment(S)``207945
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``208031
oSEGMENT`2`x`(S,S)->_$`cSegmentCategory(S)``208098
oSFunction`1`x`(List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``208180
oSPDE1`3`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))`pRDEaux(F)``208341
oSTransform1`1`x`(Distribution(R))->UTSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``208779
oSTransform2`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``208924
oSTransform`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``209041
oS`0`n`()->_$`dSKICombinators(UT)``209138
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``209178
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``209263
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``209391
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``209585
oShi`1`n`(F)->F`pLiouvillianFunction(R,F)``209667
oShi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``209725
oShi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oShi`1`x`(Float)->Float`pFloatLiouvilianFunctions``209783
oShi`1`x`(_$)->_$`cLiouvillianFunctionCategory``209841
oShiftAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``209971
oShiftC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``210204
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``210520
oSi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``210573
oSi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oSi`1`x`(Float)->Float`pFloatLiouvilianFunctions``210626
oSi`1`x`(_$)->_$`cLiouvillianFunctionCategory``210679
oSomos`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``210803
oSomos`1`x`(Union(PositiveInteger,Boolean))->_$`dGuessOption``210904
oSturmHabichtCoefficients`2`x`(UP,UP)->List(R)`pSturmHabichtPackage(R,UP)``211130
oSturmHabichtMultiple`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`211256
oSturmHabichtSequence`2`x`(UP,UP)->List(UP)`pSturmHabichtPackage(R,UP)``211559
oSturmHabicht`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)``211667
oT$`0`n`()->S`xLogic&(S)``0
oT$`0`n`()->_$`cBoundedMeetSemilattice``211962
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``211997
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``212059
oU`0`n`()->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`0`n`()->S`xJetBundleCategory&(S)``0
oU`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oU`0`n`()->_$`cJetBundleCategory``212162
oU`0`n`()->_$`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
oU`1`n`(PositiveInteger)->_$`cJetBundleCategory``212219
oU`1`n`(PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``0
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,Rep)``212291
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``212334
oVSUPI_to_VPA`2`n`(Vector(SparseUnivariatePolynomial(Integer)),Integer)->Vector(U32Vector)`pModularHermitePade``212546
oVSUPPI_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(Polynomial(Integer))),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePade``212572
oVSUPS_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(S)),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePadeSolver(F,S)``212598
oVectorise`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``212623
oX`0`n`()->S`xJetBundleCategory&(S)``0
oX`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oX`0`n`()->_$`cJetBundleCategory``212664
oX`0`n`()->_$`cJetBundleFunctionCategory(JB)``0
oX`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oX`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oX`1`n`(PositiveInteger)->_$`cJetBundleCategory``212723
oX`1`n`(PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``0
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``212797
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``212865
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(_$,_$)->_$`cJoinSemilattice``213028
o\/`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``213089
o\/`2`x`(_$,_$)->_$`dSingleInteger``213204
o^`2`n`(F,F)->F`pCombinatorialFunction(R,F)``213325
o^`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`213381
o^`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``213452
o^`2`n`(S,Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Fraction(Integer))->S`xRealClosedField&(S)``0
o^`2`n`(S,Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,Integer)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Integer)->S`xDivisionRing&(S)``0
o^`2`n`(S,Integer)->S`xGroup&(S)``0
o^`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
o^`2`n`(S,Integer)->S`xRealClosedField&(S)``0
o^`2`n`(S,Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,Integer)->_$`dFreeGroup(S)``213569
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,NonNegativeInteger)->_$`dFreeMonoid(S)``213647
o^`2`n`(S,PositiveInteger)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,PositiveInteger)->S`xDivisionRing&(S)``0
o^`2`n`(S,PositiveInteger)->S`xGroup&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
o^`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,PositiveInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,PositiveInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,S)->S`xElementaryFunctionCategory&(S)``0
o^`2`n`(S,S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``213725
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``213833
o^`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`213941
o^`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`214023
o^`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``214106
o^`2`n`(_$,Integer)->_$`dFreeDivisionAlgebra(VAR,F)``214174
o^`2`n`(_$,Integer)->_$`dInputForm``214212
o^`2`n`(_$,Integer)->_$`dOperator(R)``0
o^`2`n`(_$,NonNegativeInteger)->_$`dIncidenceAlgebra(R,S)``214286
o^`2`n`(_$,NonNegativeInteger)->_$`dInputForm``214405
o^`2`n`(_$,NonNegativeInteger)->_$`dPattern(R)``214479
o^`2`n`(_$,PositiveInteger)->_$`cDistributionCategory(R)``214533
o^`2`n`(_$,PositiveInteger)->_$`dFreeDivisionAlgebra(VAR,F)``214690
o^`2`n`(_$,_$)->_$`dOutputForm``214728
o^`2`n`(_$,_$)->_$`dPattern(R)``214783
o^`2`n`(_$,_$)->_$`dSmallOrdinal``214837
o^`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``214985
o^`2`x`(_$,Coef)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`215085
o^`2`x`(_$,Fraction(Integer))->_$`cRadicalCategory``215306
o^`2`x`(_$,Integer)->_$`cDivisionRing``215392
o^`2`x`(_$,Integer)->_$`cGroup``215465
o^`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`215538
o^`2`x`(_$,Integer)->_$`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`215685
o^`2`x`(_$,Integer)->_$`dModuleOperator(R,M)``215794
o^`2`x`(_$,NonNegativeInteger)->_$`cMagmaWithUnit``215827
o^`2`x`(_$,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)`AND(has(R,Monoid),has(R,SemiRng))`215927
o^`2`x`(_$,NonNegativeInteger)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``216046
o^`2`x`(_$,PositiveInteger)->_$`cMagma``216117
o^`2`x`(_$,_$)->_$`cElementaryFunctionCategory``216217
o^`2`x`(_$,_$)->_$`dCardinalNumber``216275
o_|_`0`n`()->S`xLogic&(S)``0
o_|_`0`n`()->_$`cBoundedJoinSemilattice``216384
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``216423
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F)``216476
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``216520
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``216572
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``216632
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``216779
oabs`1`n`(S)->R`xOctonionCategory&(S,R)``0
oabs`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oabs`1`n`(S)->S`xComplexCategory&(S,R)``0
oabs`1`n`(S)->S`xOrderedRing&(S)``0
oabs`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``216856
oabs`1`x`(_$)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`216923
oabs`1`x`(_$)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`217052
oabs`1`x`(_$)->_$`cComplexCategory(R)`has(R,RealNumberSystem)`217140
oabs`1`x`(_$)->_$`cOrderedRing``217224
oabs`1`x`(_$)->_$`cSpecialFunctionCategory``217285
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``217346
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``217428
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``217510
oacos`1`n`(F)->F`pElementaryFunction(R,F)``217599
oacos`1`n`(S)->S`xComplexCategory&(S,R)``0
oacos`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``217669
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``217740
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``217811
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``217884
oacos`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``217959
oacos`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``218028
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``218392
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``218483
oacosh`1`n`(S)->S`xComplexCategory&(S,R)``0
oacosh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``218565
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``218657
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``218749
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``218838
oacosh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``218929
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``218999
oacot`1`n`(F)->F`pElementaryFunction(R,F)``219088
oacot`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``219161
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``219235
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``219309
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``219385
oacot`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``219463
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``219524
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``219615
oacoth`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``219700
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``219795
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``219890
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``219982
oacoth`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``220076
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``220149
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``220238
oacsc`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oacsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``220310
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``220383
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``220456
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``220531
oacsc`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``220608
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``220668
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``220759
oacsch`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``220843
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``220937
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``221031
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``221122
oacsch`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``221215
oadaptive3D?`0`n`()->Boolean`dPlot3D``221287
oadaptive?`0`n`()->Boolean`dPlot``221363
oadaptive`0`x`()->Boolean`pGraphicsDefaults``221436
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``221514
oadaptive`1`x`(Boolean)->_$`dDrawOption``221623
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``221804
oaddALS`2`n`(_$,_$)->_$`dFreeDivisionAlgebra(VAR,F)``222015
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xFiniteGraph&(A,S)``0
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xPoset&(A,S)``0
oaddArrow!`2`n`(_$,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->_$`cFiniteGraph(S)``222155
oaddArrow!`3`n`(A,NonNegativeInteger,NonNegativeInteger)->A`xPoset&(A,S)``0
oaddArrow!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`cPoset(S)``222227
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(_$,String,NonNegativeInteger,NonNegativeInteger)->_$`cFiniteGraph(S)``222518
oaddArrow!`4`n`(_$,String,S,S)->_$`cFiniteGraph(S)``222728
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xFiniteGraph&(A,S)``0
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xPoset&(A,S)``0
oaddArrow!`5`n`(_$,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->_$`cFiniteGraph(S)``222912
oaddArrows2Din2D`5`n`(_$,(PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``223173
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``223316
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``223464
oaddChild!`2`n`(_$,_$)->Void`dScene(PT)``223618
oaddColumns!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``223713
oaddColumns!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``223945
oaddColumnsRows!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``224088
oaddCube`2`n`(_$,CubicalFacet)->_$`dFiniteCubicalComplex(VS)``224265
oaddImpliedFaces`1`n`(_$)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``224387
oaddImpliedFaces`1`n`(_$)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``224688
oaddMIN`2`n`(_$,_$)->_$`dFreeDivisionAlgebra(VAR,F)``224995
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``225075
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``225454
oaddNode!`3`n`(_$,String,Scene(PT))->_$`dSceneNamedPoints(PT)``225696
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`(_$,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->_$`cFiniteGraph(S)``225757
oaddObject!`2`n`(_$,S)->_$`cFiniteGraph(S)``225851
oaddObject!`2`n`(_$,S)->_$`cPoset(S)``226063
oaddPlot1Din2D`4`n`(_$,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``226273
oaddPlot1Din2D`4`n`(_$,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``226402
oaddPlot1Din2Dparametric`4`n`(_$,ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``226531
oaddPlot1Din3Dparametric`4`n`(_$,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``226682
oaddPlot1Din3Dparametric`4`n`(_$,ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``226835
oaddPlot2Din3D`5`n`(_$,(DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``226986
oaddPlot2Din3Dparametric`5`n`(_$,(DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``227121
oaddPlot2Din3Dparametric`5`n`(_$,ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``227276
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``227431
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``227611
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``227915
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``228077
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``228870
oaddPoints!`3`n`(_$,String,_$)->_$`dSceneNamedPoints(PT)``229631
oaddRows!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``229696
oaddRows!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``229807
oaddRowsColumns!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``229941
oaddSceneArrow`6`n`(_$,String,String,PT,Symbol,DoubleFloat)->_$`dScene(PT)``230118
oaddSceneArrow`7`n`(_$,_$,_$,PT,Symbol,DoubleFloat,DoubleFloat)->_$`dScene(PT)``230260
oaddSceneArrows`4`n`(_$,List(List(PT)),Symbol,DoubleFloat)->_$`dScene(PT)``230415
oaddSceneBox`2`n`(_$,DoubleFloat)->_$`dScene(PT)``230545
oaddSceneClip`2`n`(_$,Record(mins:PT,maxs:PT))->_$`dScene(PT)``230653
oaddSceneClip`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``230778
oaddSceneDef`3`n`(_$,String,_$)->_$`dScene(PT)``230886
oaddSceneGraph`5`n`(_$,DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->_$`dScene(PT)``231000
oaddSceneGrid`2`n`(_$,Record(mins:PT,maxs:PT))->_$`dScene(PT)``231136
oaddSceneGrid`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``231261
oaddSceneGrid`3`n`(_$,DoubleFloat,Record(mins:PT,maxs:PT))->_$`dScene(PT)``231369
oaddSceneGrid`3`n`(_$,DoubleFloat,SBoundary(PT))->_$`dScene(PT)``231494
oaddSceneGroup`1`n`(_$)->_$`dScene(PT)``231614
oaddSceneIFS`2`n`(_$,SceneIFS(PT))->_$`dScene(PT)``231718
oaddSceneIFS`3`n`(_$,List(List(NonNegativeInteger)),List(PT))->_$`dScene(PT)``231825
oaddSceneLine`2`n`(_$,List(PT))->_$`dScene(PT)``231939
oaddSceneLine`4`n`(_$,_$,_$,DoubleFloat)->_$`dScene(PT)``232049
oaddSceneLine`5`n`(_$,_$,_$,DoubleFloat,Boolean)->_$`dScene(PT)``232176
oaddSceneLines`2`n`(_$,List(List(PT)))->_$`dScene(PT)``232303
oaddSceneMaterial`2`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->_$`dScene(PT)``232415
oaddSceneMaterial`4`n`(_$,DoubleFloat,String,String)->_$`dScene(PT)``232532
oaddSceneNamedPoints`2`n`(_$,SceneNamedPoints(PT))->_$`dScene(PT)``232669
oaddScenePattern`4`n`(_$,Symbol,NonNegativeInteger,Record(mins:PT,maxs:PT))->_$`dScene(PT)``232791
oaddScenePattern`4`n`(_$,Symbol,NonNegativeInteger,SBoundary(PT))->_$`dScene(PT)``232916
oaddSceneRuler`4`n`(_$,Symbol,PT,Record(mins:PT,maxs:PT))->_$`dScene(PT)``233047
oaddSceneRuler`4`n`(_$,Symbol,PT,SBoundary(PT))->_$`dScene(PT)``233172
oaddSceneShape`2`n`(_$,Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->_$`dScene(PT)``233301
oaddSceneShape`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``233414
oaddSceneText`2`n`(_$,Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->_$`dScene(PT)``233527
oaddSceneText`4`n`(_$,List(String),NonNegativeInteger,PT)->_$`dScene(PT)``233637
oaddSceneText`4`n`(_$,String,NonNegativeInteger,PT)->_$`dScene(PT)``233758
oaddSceneTransform`2`n`(_$,STransform(PT))->_$`dScene(PT)``233879
oaddSceneUse`2`n`(_$,String)->_$`dScene(PT)``233999
oaddSimplex`2`n`(_$,OrientedFacet)->_$`dFiniteSimplicialComplex(VS)``234106
oaddVertex2`2`n`(_$,Record(left:NonNegativeInteger,right:NonNegativeInteger))->_$`dProductFacet``234254
oaddVertex`2`n`(_$,NonNegativeInteger)->_$`dOrientedFacet``234298
oaddWArrow!`5`n`(_$,String,NonNegativeInteger,NonNegativeInteger,W)->_$`dWeightedGraph(S,W)``234342
oaddWarning`1`n`(OutputForm)->Void`pUnittestCount``234606
oadd_slots`2`n`(List(Integer),_$)->Void`dVectorModularReconstructor``234782
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``234847
oadditive?`2`n`(_$,PositiveInteger)->Boolean`dDirichletRing(Coef)``235134
oaddmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``235239
oadjacencyMatrix`1`n`(A)->Matrix(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oadjacencyMatrix`1`n`(_$)->Matrix(NonNegativeInteger)`cFiniteGraph(S)``235324
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`n`(_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`n`(_$)->_$`dPartialDifferentialOperator(R,Var)``235717
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`235784
oadjoint`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``235967
oadjoint`1`x`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`236027
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`236100
oadmissibleLinearSystem`1`n`(_$)->OutputForm`dFreeDivisionAlgebra(VAR,F)``236219
oairyAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``236274
oairyAiPrime`1`x`(_$)->_$`cSpecialFunctionCategory``236373
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``236462
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``236542
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``236719
oairyAi`1`x`(_$)->_$`cSpecialFunctionCategory``236896
oairyBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``236962
oairyBiPrime`1`x`(_$)->_$`cSpecialFunctionCategory``237061
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``237140
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``237220
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``237397
oairyBi`1`x`(_$)->_$`cSpecialFunctionCategory``237574
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(SparseMultivariatePolynom--ial(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))->Expre--ssion(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:(EXPRR,Symbol)->S--tream(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)``237640
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(Integ--er),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(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(SparseMultivariat--ePolynomial(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))->Express--ion(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)))->Vect--or(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(F--raction(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(UnivariateFormalPower--Series(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:(N--onNegativeInteger,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)``237780
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``237874
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)``238198
oalg_reduce0`4`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),Symbol)->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``238523
oalg_reduce`4`n`(SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``238600
oalg_split_root0`3`n`(F,Kernel(F),Integer)->List(F)`pRootFSSplit(R,F)``0
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)``238693
oalg_trial_division`5`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->Boolean`pPrimGCD``238878
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(_$)->Boolean`cExtensionField(F)``239164
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``239282
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``239403
oalgebraicDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`x`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicGcd`6`n`(PT,PT,List(PT),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd2(PT,MP,MPT,MD,ME,MO)``239590
oalgebraicGcd`6`n`(Polynomial(Integer),Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd(MPT,MD,MO)``0
oalgebraicOf`2`x`(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),OutputForm)->_$`dRealClosure(TheField)``239843
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``239898
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``240030
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``240161
oalgextint_base`3`n`((SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,R)``240290
oalgextint_base`5`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F)``240577
oalgextint`5`n`((SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Fraction(SparseUnivariatePolynomial(F)),List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,R)``240738
oalgextint`7`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Fraction(SparseUnivariatePolynomial(F)),List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F--)``241060
oalgint`4`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``241323
oalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``241508
oalgtower`1`n`(List(S))->List(Kernel(S))`xFunctionSpace&(S,R)``0
oalgtower`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
oalgtower`1`x`(List(_$))->List(Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`241604
oalgtower`1`x`(_$)->List(Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`241858
oallDegrees`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``241908
oallDegrees`1`x`(Boolean)->_$`dGuessOption``242039
oallIndices`1`n`(_$)->List(C)`dSparseEchelonMatrix(C,D)``242291
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`cJetBundleCategory``242396
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`xJetBundleCategory&(S)``242513
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`x`(Polynomial(Fraction(Integer)))->List(_$)`cRealClosedField``242630
oallRootsOf`1`x`(Polynomial(Integer))->List(_$)`cRealClosedField``242717
oallRootsOf`1`x`(Polynomial(_$))->List(_$)`cRealClosedField``242804
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``242891
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``242978
oallRootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``243065
oallRootsOf`1`x`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``243152
oallSimpleCells`2`n`(List(ThePols),Symbol)->List(_$)`dSimpleCell(TheField,ThePols)``243259
oallSimpleCells`2`n`(ThePols,Symbol)->List(_$)`dSimpleCell(TheField,ThePols)``243419
oallSubsets`2`n`(_$,NonNegativeInteger)->List(_$)`dCubicalFacet``243502
oallSubsets`2`n`(_$,NonNegativeInteger)->List(_$)`dOrientedFacet``243604
oallSubsets`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(_$)`dCubicalFacet``243706
oallSubsets`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(_$)`dOrientedFacet``243809
oalphaHilbert`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``243912
oalpha`2`n`(NonNegativeInteger,List(NonNegativeInteger))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``244012
oalphabetic?`1`x`(_$)->Boolean`dCharacter``244153
oalphabetic`0`x`()->_$`dCharacterClass``244268
oalphanumeric?`1`x`(_$)->Boolean`dCharacter``244394
oalphanumeric`0`x`()->_$`dCharacterClass``244536
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``244666
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``245242
oalternating`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``245634
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``245740
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``245990
oanalyseSymbol`1`n`(SparseEchelonMatrix(JB,D))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``246240
oand`2`n`(_$,_$)->_$`dOutputForm``246339
oand`2`x`(_$,_$)->_$`cBitAggregate``246396
oand`2`x`(_$,_$)->_$`dBoolean``246489
oangerJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``246575
oangerJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``246635
oannihilate?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oannihilate?`2`n`(S,S)->Boolean`xRng&(S)``0
oannihilate?`2`x`(_$,_$)->Boolean`cRng``246696
oansatz`0`n`()->JetVectorField(JB1,JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``246790
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``246864
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``247059
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``247254
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``247415
oantiCommutator`2`n`(S,S)->S`xNonAssociativeSemiRng&(S)``0
oantiCommutator`2`n`(_$,_$)->_$`cNonAssociativeSemiRng``247576
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``247637
oantipode`1`x`(_$)->_$`cHopfAlgebra(R,MxM)``247675
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`247747
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``247958
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,AbelianGroup)`248169
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,CommutativeRing)`248380
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,CommutativeRing)`248968
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)`249574
oany`2`x`(SExpression,None)->_$`dAny``249874
oappend!`2`n`(_$,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``250060
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``250138
oappendRow!`2`n`(_$,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``250335
oappendSupport!`2`n`(_$,List(FreeMonoid(VAR)))->_$`dFreeDivisionAlgebra(VAR,F)``250428
oappend`2`n`(_$,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``250506
oappend`2`x`(_$,_$)->_$`dList(S)``250583
oapplyQuote`2`n`(Symbol,List(S))->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`n`(Symbol,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`x`(Symbol,List(_$))->_$`cFunctionSpace(R)``250742
oapplyQuote`2`x`(Symbol,_$)->_$`cFunctionSpace(R)``250831
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`x`(Symbol,_$,_$)->_$`cFunctionSpace(R)``250890
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`x`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``250959
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`x`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``251038
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``251127
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``251366
oapplyTaylor`2`n`((UTS)->UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``251506
oapply_taylor`2`n`(Stream(Coef),_$)->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``251569
oapply_taylor`2`n`(UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``251810
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dFunctionGraph(S)``251874
oapply`2`n`(_$,Partition)->R`cSequenceCategory(R)``251951
oapply`2`x`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``252093
oapply`2`x`(UPS,Distribution(R))->Distribution(S)`pDistributionPolynomialPackage(R,S,UPS)``252361
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``252494
oapply`3`n`(_$,Integer,Integer)->R`dIncidenceAlgebra(R,S)``252655
oapply`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`dMultifunctionGraph(S)``252716
oapply`3`n`(_$,P,P)->Integer`dFiniteMoebiusFunction(P)``252793
oapply`3`n`(_$,P,P)->R`dGeneralizedFiniteMoebiusFunction(P,R)``252902
oapply`3`n`(_$,S,S)->R`dIncidenceAlgebra(R,S)``253011
oapply`3`x`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``253180
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``253298
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``253434
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``253557
oapproximants`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``253800
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``254011
oapproximate`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(^,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`254114
oapproximate`2`x`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``254249
oapproximate`2`x`(_$,_$)->Fraction(Integer)`cRealClosedField``254390
oapproximate`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``254487
oarbFunctions`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``254617
oarcsineDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)`has(R,Algebra(Fraction(Integer)))`254844
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`254937
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`255077
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`255234
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``256540
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``256595
oargscript`2`x`(_$,List(OutputForm))->_$`dSymbol``256651
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``256758
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``256888
oargumentList!`3`n`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``257020
oargumentListOf`2`n`(Symbol,_$)->List(Symbol)`dTheSymbolTable``257152
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``257229
oargument`1`n`(_$)->List(S)`dKernel(S)``257307
oargument`1`x`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`257385
oarguments`1`n`(OutputForm)->List(OutputForm)`pOutputFormTools``257460
oarity`1`x`(_$)->Union(NonNegativeInteger,"failed")`dBasicOperator``257569
oaromberg`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``257689
oarrayStack`1`x`(List(S))->_$`dArrayStack(S)``258496
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`(_$,NonNegativeInteger,NonNegativeInteger)->String`cFiniteGraph(S)``258664
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsFromArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``258785
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`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``258837
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``258923
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`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``259025
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``259111
oasec`1`n`(F)->F`pElementaryFunction(R,F)``259200
oasec`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oasec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``259270
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``259341
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``259412
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``259485
oasec`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``259560
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``259618
oasech`1`n`(F)->F`pElementaryFunction(R,F)``259709
oasech`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``259791
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``259883
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``259975
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``260064
oasech`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``260155
oasimpson`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``260225
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``261032
oasin`1`n`(F)->F`pElementaryFunction(R,F)``261121
oasin`1`n`(S)->S`xComplexCategory&(S,R)``0
oasin`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``261189
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``261258
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``261327
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``261398
oasin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``261471
oasin`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``261540
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``261902
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``261993
oasinh`1`n`(S)->S`xComplexCategory&(S,R)``0
oasinh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``262073
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``262163
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``262253
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``262340
oasinh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``262429
oassert`2`x`(_$,Symbol)->_$`dBasicOperator``262497
oassign`2`n`(Symbol,Expression(Complex(Float)))->_$`dFortranCode``262648
oassign`2`n`(Symbol,Expression(Float))->_$`dFortranCode``262733
oassign`2`n`(Symbol,Expression(Integer))->_$`dFortranCode``262818
oassign`2`n`(Symbol,Expression(MachineComplex))->_$`dFortranCode``262903
oassign`2`n`(Symbol,Expression(MachineFloat))->_$`dFortranCode``262988
oassign`2`n`(Symbol,Expression(MachineInteger))->_$`dFortranCode``263073
oassign`2`n`(Symbol,Matrix(Expression(Complex(Float))))->_$`dFortranCode``263158
oassign`2`n`(Symbol,Matrix(Expression(Float)))->_$`dFortranCode``263243
oassign`2`n`(Symbol,Matrix(Expression(Integer)))->_$`dFortranCode``263328
oassign`2`n`(Symbol,Matrix(Expression(MachineComplex)))->_$`dFortranCode``263413
oassign`2`n`(Symbol,Matrix(Expression(MachineFloat)))->_$`dFortranCode``263498
oassign`2`n`(Symbol,Matrix(Expression(MachineInteger)))->_$`dFortranCode``263583
oassign`2`n`(Symbol,Matrix(MachineComplex))->_$`dFortranCode``263668
oassign`2`n`(Symbol,Matrix(MachineFloat))->_$`dFortranCode``263753
oassign`2`n`(Symbol,Matrix(MachineInteger))->_$`dFortranCode``263838
oassign`2`n`(Symbol,String)->_$`dFortranCode``263923
oassign`2`n`(Symbol,Vector(Expression(Complex(Float))))->_$`dFortranCode``264008
oassign`2`n`(Symbol,Vector(Expression(Float)))->_$`dFortranCode``264093
oassign`2`n`(Symbol,Vector(Expression(Integer)))->_$`dFortranCode``264178
oassign`2`n`(Symbol,Vector(Expression(MachineComplex)))->_$`dFortranCode``264263
oassign`2`n`(Symbol,Vector(Expression(MachineFloat)))->_$`dFortranCode``264348
oassign`2`n`(Symbol,Vector(Expression(MachineInteger)))->_$`dFortranCode``264433
oassign`2`n`(Symbol,Vector(MachineComplex))->_$`dFortranCode``264518
oassign`2`n`(Symbol,Vector(MachineFloat))->_$`dFortranCode``264603
oassign`2`n`(Symbol,Vector(MachineInteger))->_$`dFortranCode``264688
oassign`2`n`(_$,_$)->_$`dOutputForm``264773
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->_$`dFortranCode``264851
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Float))->_$`dFortranCode``265025
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Integer))->_$`dFortranCode``265199
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->_$`dFortranCode``265373
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->_$`dFortranCode``265547
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->_$`dFortranCode``265721
oassoc`2`x`(Key,_$)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``265895
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`266054
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``266252
oassociates?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`x`(_$,_$)->Boolean`cEntireRing``266401
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``266532
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``266612
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``266692
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`267041
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(_$,_$,_$)->_$`cNonAssociativeRng``267390
oatType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``267460
oatan1`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``0
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``267535
oatan`1`n`(F)->F`pElementaryFunction(R,F)``267624
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)``267695
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``267767
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``267839
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``267913
oatan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``267989
oatan`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``268058
oatan`2`x`(_$,_$)->_$`dDoubleFloat``268477
oatan`2`x`(_$,_$)->_$`dFloat``268564
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``268651
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``268742
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)``268825
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``268918
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``269011
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``269101
oatanh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``269193
oatom?`1`n`(OutputForm)->Boolean`pOutputFormTools``269264
oatom?`1`n`(_$)->Boolean`dILogic``269353
oatom?`1`n`(_$)->Boolean`dLambda(UT)``269479
oatom?`1`n`(_$)->Boolean`dLatticeJoinOfMeets``269632
oatom?`1`n`(_$)->Boolean`dLatticeMeetOfJoins``269758
oatom?`1`n`(_$)->Boolean`dSKICombinators(UT)``269884
oatom?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``270010
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``270076
oatrapezoidal`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``270169
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``270984
oaugment`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``271086
oaugment`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``271266
oaugment`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``271366
oautoReduce`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oautoReduce`1`n`(List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``271798
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``271947
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``272122
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``272211
oaxes`2`x`(_$,String)->Void`dThreeDimensionalViewport``272322
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``272554
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``272805
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``273069
oback`1`x`(_$)->S`cQueueAggregate(S)``273311
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``273459
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``273497
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``273535
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``273667
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``273785
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``273975
obandMatrix`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`274140
obandMatrix`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`274372
oband`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``274604
oband`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``274680
obandedHessian`3`n`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``274762
obandedJacobian`4`n`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``275345
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``276075
obase`0`n`()->PositiveInteger`dMachineFloat``276277
obase`0`x`()->PositiveInteger`cFloatingPointSystem``276328
obase`0`x`()->_$`cIntegerNumberSystem``276418
obase`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``276506
obase`1`x`(_$)->List(S)`dPermutationGroup(S)``276567
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`2`x`(List(P),(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``276629
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:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``276955
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``277142
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``277403
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``277562
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``277731
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``277855
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``278035
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``278216
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``278398
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``278626
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``278751
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``278932
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`n`()->Vector(S)`xOctonionCategory&(S,R)``0
obasis`0`n`()->Vector(_$)`cFramedModule(R)``279115
obasis`0`x`()->Vector(_$)`cFiniteAlgebraicExtensionField(F)``279178
obasis`1`n`(List(Vector(R)))->_$`dVectorSpaceBasis(R)``279254
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``279352
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``279446
obasis`1`n`(_$)->Vector(A)`dFractionalIdealAsModule(R,F,UP,A,ibasis)``279530
obasis`1`x`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)``279608
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`279699
obasis`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``279771
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``280083
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``280190
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``280240
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``280340
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``280484
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``280572
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``280652
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``280743
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``280804
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace``280891
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`280978
obernoulliDistribution01`1`x`(R)->Distribution(R)`pDistributionPackage(R)``281077
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``281171
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``281495
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``281654
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``281746
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``281961
obesselI`2`x`(_$,_$)->_$`cSpecialFunctionCategory``282176
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``282257
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``282349
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``282555
obesselJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``282761
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``282833
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``282925
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``283324
obesselK`2`x`(_$,_$)->_$`cSpecialFunctionCategory``283724
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``283806
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``283898
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``284310
obesselY`2`x`(_$,_$)->_$`cSpecialFunctionCategory``284712
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`284785
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``284921
obezoutMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`285029
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``285184
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``285575
obinarySearchTree`1`x`(List(S))->_$`dBinarySearchTree(S)``285627
obinaryTournament`1`x`(List(S))->_$`dBinaryTournament(S)``285727
obinaryTree`1`x`(S)->_$`dBinaryTree(S)``285845
obinaryTree`3`x`(_$,S,_$)->_$`dBinaryTree(S)``285950
obinary`1`x`(Fraction(Integer))->_$`dBinaryExpansion``286084
obinary`2`n`(_$,List(_$))->_$`dInputForm``286158
obind`1`n`(_$)->_$`dLambda(UT)``286274
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(_$,CommutativeRing)`286365
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``286468
obinomial`2`n`(Integer,Fraction(Integer))->()->Integer`pRandomIntegerDistributions``286645
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`dOutputForm``286690
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``286791
obinomial`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``286999
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``287199
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``287492
obirth`1`n`(_$)->_$`dSubSpace(n,R)``287734
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(_$,_$)->Boolean`cIntegerNumberSystem``287771
obitCoef`2`n`(Integer,NonNegativeInteger)->Integer`pIntegerBits``287869
obitTruth`2`n`(Integer,NonNegativeInteger)->Boolean`pIntegerBits``287976
obits`0`x`()->PositiveInteger`cFloatingPointSystem``288100
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`288165
obits`2`x`(NonNegativeInteger,Boolean)->_$`dBits``288258
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``288331
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``288429
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``288590
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``288758
oblockConcat`1`n`(List(List(S)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockConcat`1`x`(List(List(_$)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``288853
oblockElimination`5`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``289000
oblockElimination`7`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),Boolean,List(NonNegativeInteger),List(NonNegativeInteger),Boolean)->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``289109
oblockElimination`7`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`289511
oblockSplit`3`n`(M,List(NonNegativeInteger),PositiveInteger)->List(List(M))`pMatrixManipulation(R,Row,Col,M)``289875
oblockSplit`3`n`(M,PositiveInteger,List(NonNegativeInteger))->List(List(M))`pMatrixManipulation(R,Row,Col,M)``289996
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)``290117
oblockSplit`3`x`(_$,PositiveInteger,PositiveInteger)->List(List(_$))`cTwoDimensionalArrayCategory(R,Row,Col)``290494
oblockStructure`1`n`(_$)->Matrix(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``290743
oblock`1`n`(List(_$))->_$`dFortranCode``291038
oblue`0`x`()->_$`dColor``291128
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``291203
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``291287
oboolWordPermute`2`n`(NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``291381
oboolWordPermute`3`n`(List(List(Boolean)),NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``291514
obooleanConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``291555
obooleanCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``291671
obooleanCumulantFromJacobi`3`x`(Integer,Sequence(R),Sequence(R))->R`dDistribution(R)``291794
obooleanCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``291947
obooleanCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``292055
obottom`1`n`(Stream(List(R)))->Stream(R)`pPathArrayPackage(R)``292161
obottom`1`x`(_$)->S`cDequeueAggregate(S)``292226
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`292307
obound`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``292367
oboundary`1`n`(_$)->List(_$)`dCubicalFacet``292586
oboundary`1`n`(_$)->List(_$)`dOrientedFacet``292655
oboundary`1`n`(_$)->_$`dFiniteCubicalComplex(VS)``292724
oboundary`1`n`(_$)->_$`dFiniteSimplicialComplex(VS)``292942
oboundary`2`n`(_$,DoubleFloat)->SBoundary(PT)`dScene(PT)``293141
oboxBoundary`2`n`(PT,PT)->_$`dSBoundary(PT)``294040
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(_$)->_$`dOutputForm``294264
obox`1`x`(_$)->_$`cExpressionSpace``294313
obrace`1`n`(List(_$))->_$`dOutputForm``294550
obrace`1`n`(_$)->_$`dOutputForm``294681
obracket`1`n`(List(_$))->_$`dOutputForm``294768
obracket`1`n`(_$)->_$`dOutputForm``294902
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)``294983
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)``295120
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``295257
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``295333
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``295412
obright`1`x`(Color)->_$`dPalette``295497
obright`1`x`(List(String))->List(String)`pDisplayPackage``295591
obright`1`x`(String)->List(String)`pDisplayPackage``295693
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``295782
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``295942
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``296239
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``296335
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``296472
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``296608
obsolve`5`n`(Matrix(GR),List(Fraction(Polynomial(R))),NonNegativeInteger,String,Integer)->Record(rgl:List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),rgsz:Integer)`pParametricLinearEquations(R,Var,Expon,GR)``296766
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``297034
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`297567
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``297610
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``297658
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``297705
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``297876
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``298020
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`298167
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`298293
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`298436
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`298565
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`298711
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`298839
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`298984
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`299110
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`299253
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`299377
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`299518
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`299645
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`299789
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`299911
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300045
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300170
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300307
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300431
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300567
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300694
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300819
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`300964
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301072
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301194
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301328
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301448
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301580
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301703
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``301838
ocall`1`n`(String)->_$`dFortranCode``301880
ocanonicalBasis`1`n`(NonNegativeInteger)->_$`dVectorSpaceBasis(R)``301955
ocanonicalIfCan`2`n`(MPT,MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``302056
ocanonicalMoebiusFunction`1`n`(List(P))->_$`dGeneralizedFiniteMoebiusFunction(P,R)``302162
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``302241
ocar`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``302356
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``302412
ocarmichaelLambda`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``302520
ocartesianPower`2`n`(List(T),NonNegativeInteger)->List(List(T))`pListPackage(T)``302751
ocartesian`1`n`(List(List(T)))->List(List(T))`pListPackage(T)``302849
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``302977
ocartesian`2`n`(_$,_$)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``303059
ocartesian`2`n`(_$,_$)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``303529
ocartesian`2`n`(_$,_$)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``303651
ocartesian`2`n`(_$,_$)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``304076
ocatalan`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``304501
ocdr`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``304565
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`304636
oceiling`1`x`(_$)->_$`cRealNumberSystem``304715
ocenter`1`n`(_$)->_$`dOutputForm``304778
ocenter`1`x`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``304840
ocenter`2`n`(_$,Integer)->_$`dOutputForm``304927
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``305010
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``305296
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``305615
ochainComplex`1`n`(List(Matrix(Integer)))->_$`dChainComplex``305822
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``305841
ochain`1`n`(_$)->ChainComplex`dDeltaComplex(VS)``305952
ochain`1`n`(_$)->ChainComplex`dFiniteCubicalComplex(VS)``306035
ochain`1`n`(_$)->ChainComplex`dFiniteSimplicialComplex(VS)``306118
ochangeBase`3`n`(Integer,Integer,PositiveInteger)->_$`dMachineFloat``306314
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``306375
ochangeExprLength`1`n`(Integer)->Void`pFortranCodeTools``306532
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``306614
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``306720
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``306826
ocharClass`1`x`(List(Character))->_$`dCharacterClass``306966
ocharClass`1`x`(String)->_$`dCharacterClass``307085
ochar_pol_via_den_interpolation`1`n`(Matrix(Fraction(R)))->SparseUnivariatePolynomial(Fraction(R))`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`307206
ochar_pol_via_interpolation`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial3(R)``307302
ochar_pol`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pCharacteristicPolynomial2(F)``307394
ochar`1`x`(Integer)->_$`dCharacter``307468
ochar`1`x`(String)->_$`dCharacter``307608
ocharacter?`1`n`(_$)->Boolean`dFortranScalarType``307689
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``307785
ocharacteristicPolynomial`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pInnerEigenPackage(F)``307894
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)``307997
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``308178
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``308351
ocharacteristicPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)``308511
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``308660
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``308839
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``309010
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``309162
ocharacteristicSerie`1`x`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``309450
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``309580
ocharacteristicSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``309959
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``310085
ocharacteristic`0`n`()->NonNegativeInteger`xComplexCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xFunctionSpace&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xIntegerNumberSystem&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
ocharacteristic`0`n`()->NonNegativeInteger`xOctonionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuaternionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuotientFieldCategory&(A,S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealClosedField&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealNumberSystem&(S)``0
ocharacteristic`0`x`()->NonNegativeInteger`cNonAssociativeRing``310777
ocharlierC`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``310848
ocharlierC`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``310912
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``310976
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cCharacteristicNonZero``311087
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`311205
ocharthRoot`1`x`(_$)->_$`cFiniteFieldCategory``311326
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``311452
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``311744
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``311936
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``312223
ocheckExtraValues`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``312410
ocheckExtraValues`1`x`(Boolean)->_$`dGuessOption``312565
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``312758
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``313019
ocheckOptions`1`n`(List(GuessOption))->Void`dGuessOptionFunctions0``313298
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``313406
ocheckType`1`n`(String)->String`pFortranCodeTools``313528
ocheck_sol1a`6`n`(Vector(U32Vector),List(U32Vector),(List(U32Vector),Integer,Integer)->Vector(U32Vector),Integer,Integer,Integer)->U32Vector`pModularHermitePade``313555
ocheck`1`n`(List(GuessOption))->Union("skip","MonteCarlo","deterministic")`dGuessOptionFunctions0``313616
ocheck`1`x`(Union("skip","MonteCarlo","deterministic"))->_$`dGuessOption``313881
ocheck`1`x`(_$)->_$`cThreeSpaceCategory(R)``314169
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``314295
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``314331
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``314373
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`314414
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``314495
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)``314537
ochildren`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``314577
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``314686
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``314931
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)``315139
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``315199
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``315403
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorModularReconstructor``315491
ochkLibraryError`0`n`()->Void`pUnittestCount``315611
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``315690
ochvar`2`n`(List(UPUP),UPUP)->Record(func:List(UPUP),poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``315728
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``315823
ocircle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``316232
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`cJetBundleCategory``316298
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`xJetBundleCategory&(S)``316412
oclass`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oclass`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oclass`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``316526
oclass`1`n`(_$)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``316646
oclassicalConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``316757
oclassicalCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``316877
oclassicalCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``316989
oclearCache`0`n`()->Void`pSortedCache(S)``317094
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``317140
oclearDenominator`1`n`(P)->P`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``317324
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``317473
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``317657
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
oclearFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``317802
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``317874
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``317968
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``318037
oclear_used_intrinsics`0`n`()->Void`pFortranCodeTools``318117
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``318185
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``318402
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``318771
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``319174
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``319268
oclipSurface`2`x`(_$,String)->Void`dThreeDimensionalViewport``319433
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``319739
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``320097
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``320372
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``320653
oclip`1`x`(Boolean)->_$`dDrawOption``320937
oclip`1`x`(List(Segment(Float)))->_$`dDrawOption``321101
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``321259
oclose!`1`x`(_$)->_$`cFileCategory(Name,S)``321574
oclose!`1`x`(_$)->_$`dLibrary``321652
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``321733
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``322211
oclose`1`x`(_$)->Void`dThreeDimensionalViewport``322415
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``322623
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``322665
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``322704
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dDirectedGraph(S)``322783
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dMultifunctionGraph(S)``322913
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dUndirectedGraph(S)``323035
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dWeightedGraph(S,W)``323079
oclosedCurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``323123
oclosedCurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``323359
oclosedCurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``323622
oclosedCurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``323968
oclosedCurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``324517
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dDirectedGraph(S)``324797
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dFunctionGraph(S)``324921
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dMultifunctionGraph(S)``325047
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dUndirectedGraph(S)``325088
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dWeightedGraph(S,W)``325129
ocmult`1`n`(List(SparseMultivariatePolynomial(R0,Kernel(F))))->SparseMultivariatePolynomial(R0,Kernel(F))`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``325170
ocoAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``325225
ocoAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``325341
ocoChainComplex`1`n`(ChainComplex)->_$`dCoChainComplex(VS)``325457
ocoChainComplex`1`n`(List(Matrix(Integer)))->_$`dCoChainComplex(VS)``325501
ocoChain`1`n`(_$)->CoChainComplex(VS)`dDeltaComplex(VS)``325520
ocoChain`1`n`(_$)->CoChainComplex(VS)`dFiniteSimplicialComplex(VS)``325603
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`325807
ocoHomology`1`n`(_$)->List(Homology)`dCoChainComplex(VS)``325878
ocoHomology`1`n`(_$)->List(Homology)`dDeltaComplex(VS)``325926
ocoHomology`1`n`(_$)->List(Homology)`dFiniteSimplicialComplex(VS)``325976
ocoboundary`3`n`(_$,NonNegativeInteger,List(VS))->List(VS)`dCoChainComplex(VS)``326128
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``326196
ocoefChoose`3`n`(Integer,P,List(Record(factor:P,exponent:NonNegativeInteger)))->P`pMultivariateSquareFree(E,OV,R,P)``326293
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``326334
ocoef`2`x`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``326453
ocoef`2`x`(_$,FreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``326590
ocoef`2`x`(_$,_$)->R`cXFreeAlgebra(vl,R)``326675
ocoefficientSet`1`n`(SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,IndexedExponents(Var))->Coef`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``326808
ocoefficient`2`n`(_$,JB)->D`dJetDifferential(JB,D)``326856
ocoefficient`2`n`(_$,JB)->D`dJetVectorField(JB,D)``326964
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``327059
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``327135
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``327329
ocoefficient`2`x`(_$,E)->R`cAbelianMonoidRing(R,E)``327551
ocoefficient`2`x`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,bLin)``327721
ocoefficient`2`x`(_$,M)->R`cMonoidRingCategory(R,M)``327847
ocoefficient`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``327976
ocoefficient`2`x`(_$,S)->R`cFreeModuleCategory(R,S)``328052
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`(_$,List(VarSet),List(NonNegativeInteger))->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``328140
ocoefficient`3`n`(_$,VarSet,NonNegativeInteger)->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``328357
ocoefficient`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``328517
ocoefficient`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``328667
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->List(D)`dJetDifferential(JB,D)``328757
ocoefficients`1`n`(_$)->List(D)`dJetVectorField(JB,D)``328826
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``328893
ocoefficients`1`n`(_$)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``329234
ocoefficients`1`x`(_$)->List(R)`cFiniteAbelianMonoidRing(R,E)``329390
ocoefficients`1`x`(_$)->List(R)`cFreeModuleCategory(R,S)``329484
ocoefficients`1`x`(_$)->List(R)`cMonoidRingCategory(R,M)``329560
ocoefficients`1`x`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``329623
ocoeffs0`3`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``329781
ocoeffs1`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``329844
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`330048
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`330369
ocoerceL`1`n`(OutputForm)->String`dHTMLFormat``330690
ocoerceL`1`n`(OutputForm)->String`dMathMLFormat``330817
ocoerceL`1`n`(OutputForm)->String`dTexmacsFormat``330946
ocoerceListOfPairs`1`x`(List(List(S)))->_$`dPermutation(S)``331076
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``331370
ocoercePreimagesImages`1`x`(List(List(S)))->_$`dPermutation(S)``331503
ocoerceS`1`n`(OutputForm)->String`dHTMLFormat``331717
ocoerceS`1`n`(OutputForm)->String`dMathMLFormat``331835
ocoerceToType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``331955
ocoerce`1`n`((PositiveInteger)->Coef)->_$`dDirichletRing(Coef)``0
ocoerce`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xBinaryRecursiveAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDictionaryOperations&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteGraph&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteSetAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xHomogeneousAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOneDimensionalArrayAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xPoset&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``332030
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(Complex(DoubleFloat))->_$`dSArgand``0
ocoerce`1`n`(Complex(Float))->_$`dMachineComplex``332117
ocoerce`1`n`(Complex(Integer))->_$`dMachineComplex``332183
ocoerce`1`n`(Complex(MachineFloat))->_$`dMachineComplex``332249
ocoerce`1`n`(Complex(MachineInteger))->_$`dMachineComplex``332315
ocoerce`1`n`(D)->_$`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(D)->_$`dJetLazyFunction(JB,D)``332381
ocoerce`1`n`(E)->_$`dXPolynomialRing(R,E)``332536
ocoerce`1`n`(Equation(Expression(Complex(Float))))->_$`dFortranProgram(name,returnType,arguments,symbols)``332579
ocoerce`1`n`(Equation(Expression(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``332620
ocoerce`1`n`(Equation(Expression(Integer)))->_$`dFortranProgram(name,returnType,arguments,symbols)``332661
ocoerce`1`n`(Equation(Expression(MachineComplex)))->_$`dFortranProgram(name,returnType,arguments,symbols)``332702
ocoerce`1`n`(Equation(Expression(MachineFloat)))->_$`dFortranProgram(name,returnType,arguments,symbols)``332743
ocoerce`1`n`(Equation(Expression(MachineInteger)))->_$`dFortranProgram(name,returnType,arguments,symbols)``332784
ocoerce`1`n`(Expression(Complex(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``332825
ocoerce`1`n`(Expression(Float))->_$`dFortranProgram(name,returnType,arguments,symbols)``332865
ocoerce`1`n`(Expression(Integer))->Expression(_$)`dMachineInteger``332905
ocoerce`1`n`(Expression(Integer))->_$`dFortranProgram(name,returnType,arguments,symbols)``332978
ocoerce`1`n`(Expression(Integer))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->_$`dJetBundleXExpression(JB)``0
ocoerce`1`n`(Expression(MachineComplex))->_$`dFortranProgram(name,returnType,arguments,symbols)``333018
ocoerce`1`n`(Expression(MachineFloat))->_$`dFortranProgram(name,returnType,arguments,symbols)``333058
ocoerce`1`n`(Expression(MachineInteger))->_$`dFortranProgram(name,returnType,arguments,symbols)``333098
ocoerce`1`n`(F)->_$`dFreeDivisionAlgebra(VAR,F)``333138
ocoerce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``333274
ocoerce`1`n`(FinitePoset(S))->_$`dDirectedGraph(S)``333361
ocoerce`1`n`(FinitePoset(S))->_$`dUndirectedGraph(S)``333403
ocoerce`1`n`(FinitePoset(S))->_$`dWeightedGraph(S,W)``333445
ocoerce`1`n`(FortranCode)->_$`cFortranFunctionCategory``333487
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixCategory``333604
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixFunctionCategory``333721
ocoerce`1`n`(FortranCode)->_$`cFortranVectorCategory``333838
ocoerce`1`n`(FortranCode)->_$`cFortranVectorFunctionCategory``333955
ocoerce`1`n`(FortranCode)->_$`dFortranProgram(name,returnType,arguments,symbols)``334072
ocoerce`1`n`(FortranScalarType)->_$`dFortranType``334113
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`xFunctionSpace&(S,R)``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`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(Polynomial(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(FreeMonoid(VAR))->_$`dFreeDivisionAlgebra(VAR,F)``334175
ocoerce`1`n`(GraphImage)->TwoDimensionalViewport`pViewportPackage``334309
ocoerce`1`n`(Integer)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Integer)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Integer)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Integer)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Integer)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Integer)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xNonAssociativeRing&(S)``0
ocoerce`1`n`(Integer)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Integer)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(JB)->_$`cJetBundleFunctionCategory(JB)``334451
ocoerce`1`n`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Lambda(UT))->SKICombinators(UT)`pcompUtil(UT)``334533
ocoerce`1`n`(LatticeMeetOfJoins)->_$`dLatticeJoinOfMeets``335259
ocoerce`1`n`(LiePolynomial(VarSet,R))->_$`dXPBWPolynomial(VarSet,R)``335318
ocoerce`1`n`(List(FortranCode))->_$`cFortranFunctionCategory``335360
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixCategory``335482
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixFunctionCategory``335604
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorCategory``335726
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorFunctionCategory``335848
ocoerce`1`n`(List(FortranCode))->_$`dFortranProgram(name,returnType,arguments,symbols)``335970
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``336012
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``336283
ocoerce`1`n`(List(S))->_$`dDirectedGraph(S)``336761
ocoerce`1`n`(List(_$))->SparseEchelonMatrix(JB,D)`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(MachineInteger)->_$`dMachineFloat``336796
ocoerce`1`n`(Matrix(MachineFloat))->_$`cFortranMatrixCategory``336868
ocoerce`1`n`(OutputForm)->String`dHTMLFormat``336945
ocoerce`1`n`(OutputForm)->String`dMathMLFormat``337032
ocoerce`1`n`(OutputForm)->String`dTexmacsFormat``337121
ocoerce`1`n`(OutputForm)->_$`dScriptFormulaFormat``337211
ocoerce`1`n`(OutputForm)->_$`dTexFormat``337308
ocoerce`1`n`(P)->_$`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``337394
ocoerce`1`n`(PermutationGroup(S))->_$`dDirectedGraph(S)``337493
ocoerce`1`n`(PermutationGroup(S))->_$`dMultifunctionGraph(S)``337540
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->_$`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->_$`dThreeDimensionalMatrix(R)``337632
ocoerce`1`n`(PrimitiveArray(S))->_$`dTuple(S)``337761
ocoerce`1`n`(R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
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`xFunctionSpace&(S,R)``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`(Record(index:IS,exponent:E))->_$`dModuleMonomial(IS,E,ff)``337822
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranFunctionCategory``337860
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixCategory``338052
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixFunctionCategory``338244
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorCategory``338436
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorFunctionCategory``338628
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`dFortranProgram(name,returnType,arguments,symbols)``338820
ocoerce`1`n`(Rep)->_$`dModMonic(R,Rep)``338860
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)->Expression(Integer)`xJetBundleCategory&(S)``0
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)->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`xFunctionSpace&(S,R)``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`(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`xFunctionSpace&(S,R)``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`(S)->ScriptFormulaFormat`pScriptFormulaFormat1(S)``338898
ocoerce`1`n`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->_$`cCoercibleFrom(S)``339171
ocoerce`1`n`(S)->_$`dMakeCachableSet(S)``339231
ocoerce`1`n`(SKICombinators(UT))->ILogic`pcompUtil(UT)``339300
ocoerce`1`n`(SKICombinators(UT))->Lambda(UT)`pcompUtil(UT)``339745
ocoerce`1`n`(SMP)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``340065
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseEchelonMatrix(JB,D))->List(_$)`dJetBundleLinearFunction(JB,D)``340147
ocoerce`1`n`(SparseMultivariatePolynomial(Expression(Integer),JB))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Stream(Coef))->_$`dDirichletRing(Coef)``0
ocoerce`1`n`(Stream(R))->_$`cSequenceCategory(R)``340195
ocoerce`1`n`(String)->_$`dFortranScalarType``340240
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->_$`dFortranScalarType``340529
ocoerce`1`n`(Symbol)->_$`dJetBundle(IVar,DVar)``340794
ocoerce`1`n`(Symbol)->_$`dJetBundleSymAna(JB1,xi,eta)``340950
ocoerce`1`n`(Symbol)->_$`dSwitch``341024
ocoerce`1`n`(UnivariatePolynomial('x,Coef))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``341064
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``341202
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``341340
ocoerce`1`n`(V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Var)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``341449
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``341514
ocoerce`1`n`(Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``341554
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``341643
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``341732
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``341834
ocoerce`1`n`(Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``341923
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``342012
ocoerce`1`n`(Variable(x))->_$`dUnivariateSkewPolynomial(x,R,sigma,delta)``342114
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``342177
ocoerce`1`n`(Vector(MachineFloat))->_$`cFortranVectorCategory``342351
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``342428
ocoerce`1`n`(XDistributedPolynomial(VAR,F))->_$`dFreeDivisionAlgebra(VAR,F)``342569
ocoerce`1`n`(_$)->(PositiveInteger)->Coef`dDirichletRing(Coef)``0
ocoerce`1`n`(_$)->Complex(DoubleFloat)`dSArgand``0
ocoerce`1`n`(_$)->Complex(Float)`dMachineComplex``342710
ocoerce`1`n`(_$)->D`dJetLazyFunction(JB,D)``342775
ocoerce`1`n`(_$)->DeltaComplex(VS)`dFiniteCubicalComplex(VS)``342981
ocoerce`1`n`(_$)->DeltaComplex(VS)`dFiniteSimplicialComplex(VS)``343033
ocoerce`1`n`(_$)->Expression(Integer)`dJetBundleExpression(JB)``0
ocoerce`1`n`(_$)->Expression(Integer)`dJetBundleXExpression(JB)``0
ocoerce`1`n`(_$)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``343088
ocoerce`1`n`(_$)->FiniteSimplicialComplex(VS)`dDeltaComplex(VS)``343128
ocoerce`1`n`(_$)->Float`dMachineFloat``343189
ocoerce`1`n`(_$)->FreeMagma(VarSet)`dLyndonWord(VarSet)``343259
ocoerce`1`n`(_$)->FreeMonoid(VarSet)`dFreeMagma(VarSet)``343362
ocoerce`1`n`(_$)->FreeMonoid(VarSet)`dLyndonWord(VarSet)``343490
ocoerce`1`n`(_$)->FreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``343594
ocoerce`1`n`(_$)->LatticeMeetOfJoins`dLatticeJoinOfMeets``343745
ocoerce`1`n`(_$)->List(Integer)`dPartition``343804
ocoerce`1`n`(_$)->List(String)`dXmlElement``343872
ocoerce`1`n`(_$)->List(Vector(R))`dVectorSpaceBasis(R)``344070
ocoerce`1`n`(_$)->Matrix(D)`dSparseEchelonMatrix(C,D)``344133
ocoerce`1`n`(_$)->Matrix(R)`dRectangularMatrix(m,n,R)``344210
ocoerce`1`n`(_$)->Matrix(R)`dSquareMatrix(ndim,R)``344324
ocoerce`1`n`(_$)->OutputForm`cSPointCategory``344437
ocoerce`1`n`(_$)->OutputForm`dFortranCode``344451
ocoerce`1`n`(_$)->OutputForm`dFortranType``344513
ocoerce`1`n`(_$)->OutputForm`dFreeDivisionAlgebra(VAR,F)``344576
ocoerce`1`n`(_$)->OutputForm`dGraphImage``344717
ocoerce`1`n`(_$)->OutputForm`dJetDifferentialEquation(JB,D)``344879
ocoerce`1`n`(_$)->OutputForm`dLinearMultivariateMatrixPencil(R)``344977
ocoerce`1`n`(_$)->OutputForm`dSBoundary(PT)``345049
ocoerce`1`n`(_$)->OutputForm`dSTransform(PT)``345125
ocoerce`1`n`(_$)->OutputForm`dScene(PT)``345157
ocoerce`1`n`(_$)->OutputForm`dSceneIFS(PT)``345401
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``345465
ocoerce`1`n`(_$)->P`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``345647
ocoerce`1`n`(_$)->Polynomial(R)`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(_$)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``345705
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``345778
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``345816
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``345854
ocoerce`1`n`(_$)->Record(index:IS,exponent:E)`dModuleMonomial(IS,E,ff)``345892
ocoerce`1`n`(_$)->SExpression`dFortranScalarType``345930
ocoerce`1`n`(_$)->S`cRetractableFrom(S)``346011
ocoerce`1`n`(_$)->Stream(Coef)`dDirichletRing(Coef)``0
ocoerce`1`n`(_$)->String`dFortranScalarType``346077
ocoerce`1`n`(_$)->String`dXmlAttribute``346155
ocoerce`1`n`(_$)->Symbol`dFortranScalarType``346208
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``346276
ocoerce`1`n`(_$)->Table(Symbol,FortranType)`dSymbolTable``346319
ocoerce`1`n`(_$)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``346376
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``346446
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``346519
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``346589
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``346662
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``346730
ocoerce`1`x`(A)->_$`dAssociatedJordanAlgebra(R,A)``346813
ocoerce`1`x`(A)->_$`dAssociatedLieAlgebra(R,A)``346977
ocoerce`1`x`(Character)->_$`cStringAggregate``347135
ocoerce`1`x`(Col)->_$`cMatrixCategory(R,Row,Col)``347226
ocoerce`1`x`(Color)->_$`dPalette``347303
ocoerce`1`x`(DirectProduct(dim,R))->_$`dCartesianTensor(minix,dim,R)``347407
ocoerce`1`x`(Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``347466
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``347551
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``347708
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``348169
ocoerce`1`x`(FourierComponent(E))->_$`dFourierSeries(R,E)``348633
ocoerce`1`x`(Fraction(Factored(R)))->_$`dPartialFraction(R)``348700
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``348992
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`349142
ocoerce`1`x`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`349204
ocoerce`1`x`(Integer)->_$`cNonAssociativeRing``349266
ocoerce`1`x`(Integer)->_$`dOrdSetInts``349346
ocoerce`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``349416
ocoerce`1`x`(List(List(S)))->_$`dPermutation(S)``349509
ocoerce`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``349833
ocoerce`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``349935
ocoerce`1`x`(List(Record(k:M,c:R)))->_$`cMonoidRingCategory(R,M)``350025
ocoerce`1`x`(List(S))->_$`dDataList(S)``350119
ocoerce`1`x`(List(S))->_$`dDatabase(S)``350176
ocoerce`1`x`(List(S))->_$`dPermutation(S)``350231
ocoerce`1`x`(List(S))->_$`dStream(S)``350459
ocoerce`1`x`(List(_$))->_$`dCartesianTensor(minix,dim,R)``350521
ocoerce`1`x`(Pi)->Expression(R)`pPiCoercions(R)``350611
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``350680
ocoerce`1`x`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``350806
ocoerce`1`x`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`350907
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``350969
ocoerce`1`x`(R)->_$`cAlgebra(R)``351055
ocoerce`1`x`(R)->_$`cLeftAlgebra(R)``351138
ocoerce`1`x`(R)->_$`cXAlgebra(R)``351228
ocoerce`1`x`(R)->_$`dFourierSeries(R,E)``351271
ocoerce`1`x`(R)->_$`dOrdinaryDifferentialRing(Kernels,R,var)``351337
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``351422
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``351525
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``351606
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``351833
ocoerce`1`x`(S)->_$`cDifferentialVariableCategory(S)``352168
ocoerce`1`x`(S)->_$`cRetractableTo(S)``352264
ocoerce`1`x`(Segment(S))->_$`dUniversalSegment(S)``352324
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``352399
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dAlgebraicNumber``352533
ocoerce`1`x`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`352605
ocoerce`1`x`(SquareMatrix(dim,R))->_$`dCartesianTensor(minix,dim,R)``352667
ocoerce`1`x`(String)->_$`cFileNameCategory``352726
ocoerce`1`x`(String)->_$`dIndexCard``352836
ocoerce`1`x`(String)->_$`dSymbol``352992
ocoerce`1`x`(Symbol)->_$`dOpenMathErrorKind``353058
ocoerce`1`x`(Symbol)->_$`dTaylorSeries(Coef)``353290
ocoerce`1`x`(ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``353353
ocoerce`1`x`(UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``353441
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``353528
ocoerce`1`x`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``353605
ocoerce`1`x`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``353667
ocoerce`1`x`(Variable(x))->_$`dUnivariatePolynomial(x,R)``353756
ocoerce`1`x`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``353839
ocoerce`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``354046
ocoerce`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``354120
ocoerce`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``354195
ocoerce`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``354274
ocoerce`1`x`(_$)->Fraction(R)`dPartialFraction(R)``354348
ocoerce`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``354450
ocoerce`1`x`(_$)->List(S)`dDataList(S)``354521
ocoerce`1`x`(_$)->OutputForm`cThreeSpaceCategory(R)``354586
ocoerce`1`x`(_$)->OutputForm`dVoid``354671
ocoerce`1`x`(_$)->R`dOrdinaryDifferentialRing(Kernels,R,var)``354730
ocoerce`1`x`(_$)->RadixExpansion(10)`dDecimalExpansion``354814
ocoerce`1`x`(_$)->RadixExpansion(16)`dHexadecimalExpansion``354902
ocoerce`1`x`(_$)->RadixExpansion(2)`dBinaryExpansion``354994
ocoerce`1`x`(_$)->S`cCoercibleTo(S)``355080
ocoerce`1`x`(_$)->String`cFileNameCategory``355146
ocoerce`1`x`(_$)->Tree(S)`dPendantTree(S)``355258
ocoerce`1`x`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``355296
ocoerce`1`x`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``355364
ocoerce`1`x`(vl)->_$`cXFreeAlgebra(vl,R)``355432
ocolSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolSlice`1`x`(_$)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``355474
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``355619
ocolinearity`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
ocolinearity`2`n`(_$,_$)->DoubleFloat`cSPointCategory``356436
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(_$)->_$`cTriangularSetCategory(R,E,V,P)``356658
ocollectUnder`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUnder`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUnder`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``356782
ocollectUpper`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUpper`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUpper`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``356916
ocollect`1`n`(_$)->_$`dJetLazyFunction(JB,D)``357053
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``357146
ocolorDef`3`x`(_$,Color,Color)->Void`dThreeDimensionalViewport``357268
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``357583
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``357766
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``357980
ocolor`1`n`(Point(R))->R`pPointPackage(R)``358216
ocolor`1`x`(Integer)->_$`dColor``358529
ocolumnMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``358599
ocolumnSpace`1`n`(Matrix(R))->_$`dVectorSpaceBasis(R)``358716
ocolumnSpace`1`n`(S)->List(Col)`xMatrixCategory&(S,R,Row,Col)``0
ocolumnSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`358941
ocolumnSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`359058
ocolumnSpan`1`n`(_$)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``359176
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``359349
ocolumn`2`x`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``359478
ocolumns`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``359603
ocolumns`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``359705
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``359807
ocomment`1`n`(List(String))->_$`dFortranCode``359902
ocomment`1`n`(String)->_$`dFortranCode``360009
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``360111
ocommonDenominator`1`n`(P)->R`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``360235
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``360342
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``360466
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
ocommon`2`n`(Symbol,List(Symbol))->_$`dFortranCode``360569
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``360655
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``360739
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`n`(_$,_$)->_$`dJetVectorField(JB,D)``360823
ocommutator`2`x`(_$,_$)->_$`cGroup``360904
ocommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``360978
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``361035
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``361280
ocompactFraction`1`x`(_$)->_$`dPartialFraction(R)``361330
ocompanionBlocks`2`n`(Matrix(K),List(Vector(K)))->List(Record(C:Matrix(K),lg:List(Vector(K))))`pPseudoLinearNormalForm(K)``361531
ocomparison`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``361716
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Integer`pMultivariateSquareFree(E,OV,R,P)``361983
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``362022
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``362359
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``362552
ocomplementSpace`1`n`(List(Vector(R)))->_$`dVectorSpaceBasis(R)``362772
ocomplementSpace`1`n`(_$)->_$`dVectorSpaceBasis(R)``362931
ocomplementSpace`2`n`(List(Vector(R)),NonNegativeInteger)->_$`dVectorSpaceBasis(R)``363095
ocomplementSpace`2`n`(_$,NonNegativeInteger)->_$`dVectorSpaceBasis(R)``363306
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`n`(_$)->_$`dSubsetLattice(S,top)``363531
ocomplement`1`x`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`363556
ocomplement`2`n`(_$,List(S))->_$`dSubsetLattice(S,top)``363687
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``363712
ocomplete2`1`n`(JetDifferentialEquation(JB,D))->Record(IDe:JetDifferentialEquation(JB,D),ISys:List(D),Order:NonNegativeInteger,NumProj:NonNegativeInteger,Dim:NonNegativeInteger,CarChar:List(NonNegativeInteger))`pCartanKuranishi(JB,D)``363850
ocompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`364152
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``364363
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``364756
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``365029
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``365239
ocompleteReflexivity`1`n`(A)->A`xPoset&(A,S)``0
ocompleteReflexivity`1`n`(_$)->_$`cPoset(S)``365408
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``365590
ocompleteSmith`2`n`(Matrix(Integer),(Matrix(Integer))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer)))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer))`pIntegerSmithNormalForm``365787
ocompleteTransitivity`1`n`(A)->A`xPoset&(A,S)``0
ocompleteTransitivity`1`n`(_$)->_$`cPoset(S)``366002
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`n`(JetDifferentialEquation(JB,D))->Void`pCartanKuranishi(JB,D)``366200
ocomplete`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``366378
ocomplete`1`x`(_$)->_$`cLazyStreamAggregate(S)``366617
ocomplete`1`x`(_$)->_$`cPAdicIntegerCategory(p)``366764
ocomplete`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``366828
ocomplete`1`x`(_$)->_$`dContinuedFraction(R)``366977
ocompletelyOrderedSet`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``367230
ocomplex?`1`n`(_$)->Boolean`dFortranScalarType``367272
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``367364
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``367599
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``367954
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``368101
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``368248
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``368434
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``368620
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``368716
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``368812
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``368876
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``368940
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`369065
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``369190
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``369287
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``369414
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``369541
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``369657
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``369773
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``369913
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`370053
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`370180
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`370307
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`370434
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`370561
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`370686
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`370813
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`370975
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`371137
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`371299
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`371431
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`371593
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`371755
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`371832
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`371909
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`371986
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`372063
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`372140
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`372217
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``372294
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`372371
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`372483
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`372595
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`372707
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`372819
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`372900
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`373012
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``373124
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``373236
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``373420
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``373736
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``373970
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``374186
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``374415
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``374633
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``374832
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``374967
ocomplex`2`x`(R,R)->_$`cComplexCategory(R)``375174
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``375233
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``375570
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``376078
ocomponents`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``376429
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``376670
ocomposite`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``376767
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(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`376975
ocomposite`2`x`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`377101
ocomposites`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``377210
ocompound`2`n`(_$,_$)->_$`dSTransform(PT)``377559
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``377617
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``377845
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``378030
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``378199
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``378619
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat!`2`x`(_$,S)->_$`cExtensibleLinearAggregate(S)``378663
oconcat!`2`x`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`378753
oconcat!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`378893
oconcat!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)``379031
oconcat!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`379138
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`x`(List(_$))->_$`cLinearAggregate(S)``379228
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``379545
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`xUnaryRecursiveAggregate&(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`(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`(S,_$)->_$`cLinearAggregate(S)``379684
oconcat`2`x`(S,_$)->_$`cUnaryRecursiveAggregate(S)``379846
oconcat`2`x`(_$,S)->_$`cLinearAggregate(S)``380036
oconcat`2`x`(_$,_$)->_$`cLinearAggregate(S)``380198
oconcat`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``380457
ocond`2`n`(Switch,_$)->_$`dFortranCode``380626
ocond`3`n`(Switch,_$,_$)->_$`dFortranCode``380733
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xFiniteFieldCategory&(S)``0
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`380859
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``381128
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`381199
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``381375
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``381552
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`381729
oconditionsForIdempotents`1`x`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``381946
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``382164
ocone`2`n`(_$,NonNegativeInteger)->_$`dFiniteSimplicialComplex(VS)``382246
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``382471
oconj`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``382809
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`382973
oconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``383028
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`n`(_$)->_$`dPartition``383112
oconjugate`1`x`(List(Integer))->List(Integer)`pPartitionsAndPermutations``383195
oconjugate`1`x`(_$)->_$`cComplexCategory(R)``383268
oconjugate`1`x`(_$)->_$`cOctonionCategory(R)``383343
oconjugate`1`x`(_$)->_$`cQuaternionCategory(R)``383501
oconjugate`1`x`(_$)->_$`cSpecialFunctionCategory``383580
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(_$,_$)->_$`cGroup``383642
oconjugates`1`x`(Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``383745
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``383853
oconsRow!`2`n`(_$,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``384137
ocons`2`n`(R,_$)->_$`cSequenceCategory(R)``384228
ocons`2`x`(S,_$)->_$`dList(S)``384296
ocons`2`x`(S,_$)->_$`dStream(S)``384467
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``384621
oconst?`1`n`(S)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
oconst?`1`n`(_$)->Boolean`cJetBundleFunctionCategory(JB)``384662
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``384736
oconst`1`n`(_$)->R`dDistributedJetBundlePolynomial(R,JB,LJV,E)``384976
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``385109
oconstant?`1`n`(_$)->Boolean`dPattern(R)``385213
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``385290
oconstant?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``385388
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``385460
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``385926
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``385971
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``386017
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``386120
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``386266
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``386381
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``386485
oconstant_subspace`2`n`(List(Vector(F)),List((F)->F))->Record(transform:Matrix(F),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``386711
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``387110
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``387174
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``387267
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``387431
oconstant`1`x`(_$)->R`cXFreeAlgebra(vl,R)``387559
oconstructOrdered`1`x`(List(Record(k:S,c:A)))->_$`cIndexedDirectProductCategory(A,S)`has(S,Comparable)`387624
oconstruct`1`n`(List(List(List(R))))->_$`dThreeDimensionalMatrix(R)``388056
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``388155
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``388314
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))->_$`dSplittingNode(V,C)``388416
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``388501
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``388801
oconstruct`1`x`(List(Record(k:S,c:A)))->_$`cIndexedDirectProductCategory(A,S)``388856
oconstruct`1`x`(List(S))->_$`cCollection(S)``389013
oconstruct`1`x`(_$)->Stream(S)`dInfiniteTuple(S)``389274
oconstruct`2`n`(A,B)->_$`dProduct(A,B)``389341
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``389436
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``389482
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``389555
oconstruct`2`n`(OutputForm,List(OutputForm))->OutputForm`pOutputFormTools``389628
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``389722
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``389786
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``389872
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``389964
oconstruct`2`x`(_$,_$)->_$`cLieAlgebra(R)``390037
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``390119
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``390191
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``390263
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``390387
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``390583
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``390754
oconstruct`4`x`(Sequence(R),Sequence(R),Sequence(R),Sequence(R))->_$`dDistribution(R)``390967
ocontains?`2`x`(_$,R)->Boolean`cIntervalCategory(R)``391264
ocontainsPoint?`2`n`(_$,PT)->Boolean`dSBoundary(PT)``391397
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``391552
ocontent`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
ocontent`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
ocontent`1`n`(S)->R`xUnivariateSkewPolynomialCategory&(S,R)``0
ocontent`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`391638
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)`391728
ocontinue`1`n`(SingleInteger)->_$`dFortranCode``392026
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``392122
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``392234
ocontinuedFraction`1`x`(Fraction(R))->_$`dContinuedFraction(R)``392346
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``392494
ocontraAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``392738
ocontraAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``392854
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``392970
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``393244
ocontract`2`n`(JetVectorField(JB,D),_$)->D`dJetDifferential(JB,D)``393542
ocontract`2`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl)``393646
ocontract`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``393748
ocontract`4`x`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``394109
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``394590
ocontrolPanel`2`x`(_$,String)->Void`dThreeDimensionalViewport``394833
oconvergents`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``395080
oconvert`1`n`(A)->DoubleFloat`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Float`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->InputForm`xCollection&(A,S)``0
oconvert`1`n`(A)->InputForm`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Float)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Integer)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(CS)->Pattern(R)`pComplexPattern(R,S,CS)``395264
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(JetBundlePolynomial(R,JB))->_$`dDistributedJetBundlePolynomial(R,JB,LJV,E)``395345
oconvert`1`n`(LinearOrdinaryDifferentialOperator1(R))->LinearOrdinaryDifferentialOperator3(Coeff,Ab,R)`pLODOConvertions(Coeff,Ab,R)``395479
oconvert`1`n`(LinearOrdinaryDifferentialOperator3(Coeff,Ab,R))->LinearOrdinaryDifferentialOperator1(R)`pLODOConvertions(Coeff,Ab,R)``395762
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``396045
oconvert`1`n`(List(_$))->_$`dPattern(R)``396146
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)->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`(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`xFunctionSpace&(S,R)``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`(S)->Pattern(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xFunctionSpace&(S,R)``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)`xFunctionSpace&(S,R)``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)->String`xRecursivePolynomialCategory&(S,R,E,V)``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`(S)->_$`cConvertibleFrom(S)``396233
oconvert`1`n`(SExpression)->_$`dInputForm``396291
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedModule&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xOctonionCategory&(S,R)``0
oconvert`1`n`(Vector(R))->_$`cFramedModule(R)``396351
oconvert`1`n`(_$)->JetBundlePolynomial(R,JB)`dDistributedJetBundlePolynomial(R,JB,LJV,E)``396502
oconvert`1`n`(_$)->Symbol`dSingletonAsOrderedSet``0
oconvert`1`n`(_$)->Vector(R)`cFramedModule(R)``396636
oconvert`1`x`(DoubleFloat)->_$`dFloat``396746
oconvert`1`x`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`396837
oconvert`1`x`(Flt)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``397013
oconvert`1`x`(Int)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``397070
oconvert`1`x`(List(R))->_$`cPointCategory(R)``397127
oconvert`1`x`(List(_$))->_$`cSExpressionCategory(Str,Sym,Int,Flt)``397253
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``397352
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``397396
oconvert`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`397440
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`397504
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``397568
oconvert`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`397612
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)->_$`cSegmentCategory(S)``397676
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``397734
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``397778
oconvert`1`x`(SquareMatrix(n,R))->_$`dLieSquareMatrix(n,R)``397838
oconvert`1`x`(Str)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``397890
oconvert`1`x`(Sym)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``397947
oconvert`1`x`(Symbol)->_$`dRomanNumeral``398004
oconvert`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``398074
oconvert`1`x`(_$)->S`cConvertibleTo(S)``398228
oconvert`2`n`(List(S),List(FreeGroup(S)))->GroupPresentation`pGroupPresentationFunctions1(S)``398295
oconvert`2`n`(OutputForm,Integer)->_$`cOutputFormatterCategory``398420
oconvert`2`n`(OutputForm,Integer)->_$`dScriptFormulaFormat``398549
oconvert`2`n`(OutputForm,Integer)->_$`dTexFormat``398826
oconvert`3`n`(OutputForm,Integer,OutputForm)->_$`dTexFormat``399092
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``399389
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``399521
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``399555
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``399760
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``399976
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``400197
ocoordinatesIfCan`2`n`(Vector(R),_$)->Union(Vector(R),"failed")`dVectorSpaceBasis(R)``400414
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(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`n`(Vector(_$))->Matrix(R)`cFramedModule(R)``400574
ocoordinates`1`n`(_$)->Vector(R)`cFramedModule(R)``400800
ocoordinates`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``400914
ocoordinates`1`x`(Vector(_$))->Matrix(F)`cFiniteAlgebraicExtensionField(F)``401065
ocoordinates`1`x`(_$)->Vector(F)`cFiniteAlgebraicExtensionField(F)``401291
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`n`(Vector(R),_$)->Vector(R)`dVectorSpaceBasis(R)``401411
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)``401560
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``401719
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``401961
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``402188
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``402302
ocopies`2`x`(Integer,String)->String`pDisplayPackage``402461
ocoproduct`1`x`(_$)->MxM`cCoalgebra(R,MxM)``402583
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``402656
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable))`402802
ocopy_first`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``402926
ocopy_slice`4`n`(U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``403054
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`(S)->S`xIntegerNumberSystem&(S)``0
ocopy`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocopy`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``403231
ocopy`1`n`(_$)->_$`dJetDifferential(JB,D)``403291
ocopy`1`n`(_$)->_$`dJetDifferentialEquation(JB,D)``403360
ocopy`1`n`(_$)->_$`dJetVectorField(JB,D)``403425
ocopy`1`n`(_$)->_$`dLinearMultivariateMatrixPencil(R)``403492
ocopy`1`n`(_$)->_$`dPattern(R)``403560
ocopy`1`n`(_$)->_$`dSparseEchelonMatrix(C,D)``403620
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``403681
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``403731
ocopy`1`x`(_$)->_$`cAggregate``403767
ocopy`1`x`(_$)->_$`cIntegerNumberSystem``403901
ocopy`1`x`(_$)->_$`cThreeSpaceCategory(R)``403949
ocopy`1`x`(_$)->_$`dBasicOperator``404042
ocopy`2`n`(_$,F)->_$`dFreeDivisionAlgebra(VAR,F)``404094
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)``404179
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``404643
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``404741
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``404828
ocos`1`n`(E)->_$`dFourierComponent(E)``405078
ocos`1`n`(F)->F`pElementaryFunction(R,F)``405144
ocos`1`n`(S)->S`xComplexCategory&(S,R)``0
ocos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``405205
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``405272
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``405339
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``405407
ocos`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``405477
ocos`1`x`(_$)->_$`cTrigonometricFunctionCategory``405544
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``405597
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``405699
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``405788
ocosh`1`n`(S)->S`xComplexCategory&(S,R)``0
ocosh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``405861
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``405944
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``406027
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``406107
ocosh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``406189
ocosh`1`x`(_$)->_$`cHyperbolicFunctionCategory``406258
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``406323
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``406421
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``406525
ocot`1`n`(F)->F`pElementaryFunction(R,F)``406612
ocot`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``406676
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``406746
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``406816
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``406887
ocot`1`x`(_$)->_$`cTrigonometricFunctionCategory``406960
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``407016
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``407118
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``407227
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``407316
ocoth`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``407392
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``407478
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``407564
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``407647
ocoth`1`x`(_$)->_$`cHyperbolicFunctionCategory``407732
ocounit`1`x`(_$)->R`cCoalgebra(R,MxM)``407800
ocountRealRootsMultiple`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`407868
ocountRealRoots`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)``407975
ocount`2`n`((Entry)->Boolean,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`((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`n`(Entry,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(R,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`(Record(key:Key,entry:Entry),S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``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`x`((S)->Boolean,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`408045
ocount`2`x`(S,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`408246
ocountable?`1`x`(_$)->Boolean`dCardinalNumber``408417
ocoverMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ocoverMatrix`1`n`(_$)->IncidenceAlgebra(Integer,S)`cPoset(S)``408555
ocreate3Space`0`x`()->_$`cThreeSpaceCategory(R)``408950
ocreate3Space`1`x`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``409092
ocreateArrows2Din2D`4`n`((PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``409234
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``409468
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``409668
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``409829
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``410182
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``410390
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``410510
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`410803
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``411074
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``411208
ocreatePlot1Din2D`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``411431
ocreatePlot1Din2D`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``411668
ocreatePlot1Din2Dparametric`3`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``411906
ocreatePlot1Din3Dparametric`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``412515
ocreatePlot1Din3Dparametric`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``412941
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``413545
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``413981
ocreatePlot2Din3Dparametric`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``414185
ocreatePlot2Din3Dparametric`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``414654
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->_$`cFiniteFieldCategory``415243
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``415354
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``415559
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``415699
ocreateSceneArrow`5`n`(String,String,PT,Symbol,DoubleFloat)->_$`dScene(PT)``415811
ocreateSceneArrow`6`n`(_$,_$,PT,Symbol,DoubleFloat,DoubleFloat)->_$`dScene(PT)``416790
ocreateSceneArrows`3`n`(List(List(PT)),Symbol,DoubleFloat)->_$`dScene(PT)``418135
ocreateSceneBox`1`n`(DoubleFloat)->_$`dScene(PT)``419073
ocreateSceneClip`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``419185
ocreateSceneClip`1`n`(SBoundary(PT))->_$`dScene(PT)``419310
ocreateSceneDef`2`n`(String,_$)->_$`dScene(PT)``419442
ocreateSceneGraph`4`n`(DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->_$`dScene(PT)``419551
ocreateSceneGrid`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``419643
ocreateSceneGrid`1`n`(SBoundary(PT))->_$`dScene(PT)``419768
ocreateSceneGrid`2`n`(DoubleFloat,Record(mins:PT,maxs:PT))->_$`dScene(PT)``419921
ocreateSceneGrid`2`n`(DoubleFloat,SBoundary(PT))->_$`dScene(PT)``420046
ocreateSceneGroup`0`n`()->_$`dScene(PT)``420227
ocreateSceneIFS`1`n`(SceneIFS(PT))->_$`dScene(PT)``420350
ocreateSceneIFS`2`n`(List(List(NonNegativeInteger)),List(PT))->_$`dScene(PT)``420510
ocreateSceneLine`1`n`(List(PT))->_$`dScene(PT)``420677
ocreateSceneLine`3`n`(_$,_$,DoubleFloat)->_$`dScene(PT)``420941
ocreateSceneLine`4`n`(_$,_$,DoubleFloat,Boolean)->_$`dScene(PT)``421575
ocreateSceneLines`1`n`(List(List(PT)))->_$`dScene(PT)``422333
ocreateSceneMaterial`1`n`(Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->_$`dScene(PT)``422590
ocreateSceneMaterial`3`n`(DoubleFloat,String,String)->_$`dScene(PT)``422965
ocreateSceneNamedPoints`1`n`(SceneNamedPoints(PT))->_$`dScene(PT)``423294
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,Record(mins:PT,maxs:PT))->_$`dScene(PT)``423462
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,SBoundary(PT))->_$`dScene(PT)``423587
ocreateSceneRoot`0`n`()->_$`dScene(PT)``424130
ocreateSceneRoot`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``424256
ocreateSceneRoot`1`n`(SBoundary(PT))->_$`dScene(PT)``424381
ocreateSceneRoot`4`n`(Integer,Integer,Integer,Integer)->_$`dScene(PT)``424509
ocreateSceneRuler`3`n`(Symbol,PT,Record(mins:PT,maxs:PT))->_$`dScene(PT)``424663
ocreateSceneRuler`3`n`(Symbol,PT,SBoundary(PT))->_$`dScene(PT)``424788
ocreateSceneShape`1`n`(Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->_$`dScene(PT)``425039
ocreateSceneShape`1`n`(SBoundary(PT))->_$`dScene(PT)``425175
ocreateSceneText`1`n`(Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->_$`dScene(PT)``425327
ocreateSceneText`3`n`(List(String),NonNegativeInteger,PT)->_$`dScene(PT)``425477
ocreateSceneText`3`n`(String,NonNegativeInteger,PT)->_$`dScene(PT)``425589
ocreateSceneTransform`1`n`(STransform(PT))->_$`dScene(PT)``425736
ocreateSceneUse`1`n`(String)->_$`dScene(PT)``425968
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``426040
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``426199
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``426325
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``426451
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``426590
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``426729
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``426868
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``427007
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``427441
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``427477
ocritBonD`2`n`(Dpol,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``427511
ocritMTonD1`1`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``427548
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``427587
ocritMonD1`2`n`(Expon,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``427621
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``427659
ocritpOrder`2`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``427693
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``427732
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(_$,_$)->_$`cPointCategory(R)``427955
ocross`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`428108
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``428244
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``428453
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``428551
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``428645
ocsc`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``428708
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``428777
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``428846
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``428916
ocsc`1`x`(_$)->_$`cTrigonometricFunctionCategory``428988
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``429043
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``429145
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``429234
ocsch`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``429309
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``429394
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``429479
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``429561
ocsch`1`x`(_$)->_$`cHyperbolicFunctionCategory``429645
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``429712
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``429766
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``429803
ocubicalComplex`1`n`(List(VS))->_$`dFiniteCubicalComplex(VS)``429855
ocubicalComplex`2`n`(List(VS),List(CubicalFacet))->_$`dFiniteCubicalComplex(VS)``429894
ocubicalComplex`2`n`(List(VS),List(List(List(Integer))))->_$`dFiniteCubicalComplex(VS)``429942
ocubicalComplex`2`n`(List(VS),List(List(Segment(Integer))))->_$`dFiniteCubicalComplex(VS)``429990
ocubicalFacet`2`n`(Integer,CubicalFacet)->_$`dCubicalFacet``430038
ocubicalFacet`2`n`(Integer,List(List(Integer)))->_$`dCubicalFacet``430083
ocubicalFacet`2`n`(Integer,List(Segment(Integer)))->_$`dCubicalFacet``430120
ocumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``430301
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``430419
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``430613
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``430706
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``430811
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``430917
ocurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``431012
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``431237
ocurveColor`1`x`(Float)->_$`dDrawOption``431466
ocurveColor`1`x`(Palette)->_$`dDrawOption``431609
ocurveLoops`3`n`(List(PT),DoubleFloat,Integer)->List(List(PT))`dSceneIFS(PT)``431779
ocurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``431866
ocurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``432068
ocurve`2`x`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``432307
ocurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``432411
ocurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``432781
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``432958
ocycleClosed`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleClosed`2`n`(List(S),String)->_$`cFiniteGraph(S)``433084
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``433338
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``433485
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``433620
ocycleOpen`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleOpen`2`n`(List(S),String)->_$`cFiniteGraph(S)``433760
ocyclePartition`1`x`(_$)->Partition`dPermutation(S)``434112
ocycleRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``434255
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`434489
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``434870
ocycle`1`x`(List(S))->_$`cPermutationCategory(S)``434962
ocycles`1`x`(List(List(S)))->_$`cPermutationCategory(S)``435189
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``435519
ocyclicGroup`1`n`(PositiveInteger)->_$`dGroupPresentation``435575
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``435695
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``435884
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`436004
ocyclic`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``436645
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``436741
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``436837
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``436933
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``437084
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``437287
ocylindricalDecomposition`1`n`(List(Polynomial(TheField)))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``437387
ocylindricalDecomposition`2`n`(List(Polynomial(TheField)),List(Symbol))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``437533
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``437673
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``437910
odP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`dJetDifferential(JB,D)``438349
odSubst`3`n`(S,JB,S)->S`xJetBundleFunctionCategory&(S,JB)``0
odSubst`3`n`(_$,JB,_$)->_$`cJetBundleFunctionCategory(JB)``438422
odU`1`n`(PositiveInteger)->_$`dJetDifferential(JB,D)``438594
odX`1`n`(PositiveInteger)->_$`dJetDifferential(JB,D)``438655
od`1`n`(D)->_$`dJetDifferential(JB,D)``438716
od`1`n`(JB)->_$`dJetDifferential(JB,D)``438774
odanilewski`1`n`(Matrix(F))->Record(matrix:Matrix(F),block_list:List(Integer))`pCharacteristicPolynomial2(F)``438833
odark`1`x`(Color)->_$`dPalette``438970
odatalist`1`x`(List(S))->_$`dDataList(S)``439069
oddFact`2`x`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``439128
oddfact`2`n`(U32Vector,Integer)->List(Record(poly:U32Vector,degree:NonNegativeInteger,separate_factors:()->List(U32Vector)))`pModularFactorization``0
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``439420
odebug`1`n`(Boolean)->Boolean`dPlot``439513
odebug`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``439600
odebug`1`x`(Boolean)->_$`dGuessOption``439708
odecFatal`0`n`()->Void`pUnittestCount``439848
odecXfFatal`0`n`()->Void`pUnittestCount``439959
odecXfPass`0`n`()->Void`pUnittestCount``440010
odec`1`x`(_$)->_$`cIntegerNumberSystem``440186
odecimal`1`x`(Fraction(Integer))->_$`dDecimalExpansion``440229
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``440305
odeclare!`3`n`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``440432
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``440549
odeclare!`3`n`(Symbol,FortranType,_$)->FortranType`dSymbolTable``440649
odeclare!`4`n`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``440759
odeclare!`4`n`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``440905
odeclare`1`n`(List(_$))->Symbol`dInputForm``441050
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``441399
odecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`441638
odecompose`1`x`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``441769
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``441853
odecompose`2`n`(UP,List(UP))->List(UP)`pPartialFractionUtilities(F,UP)``442213
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`442421
odeductions`1`n`(List(_$))->List(_$)`dILogic``442561
odeductions`1`n`(List(_$))->List(_$)`dLatticeJoinOfMeets``442947
odeductions`1`n`(List(_$))->List(_$)`dLatticeMeetOfJoins``443333
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``443719
odeepDiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odeepDiagramSvg`3`n`(String,_$,Boolean)->Void`cFiniteGraph(S)``0
odeepExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``443759
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``443848
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``443995
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``444234
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``444719
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``444862
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``445003
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``445097
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`445199
odefiningPolynomial`1`x`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``445342
odefiningPolynomial`1`x`(_$)->_$`cExpressionSpace`has(_$,Ring)`445454
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``445548
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``445713
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``446001
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``446170
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(MPT)->Integer`cModularAlgebraicGcdOperations(MP,MPT,MD)``446260
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``446310
odegree`1`n`(_$)->Expon`cSolvableSkewPolynomialCategory(R,Expon)``446378
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``446465
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``446503
odegree`1`n`(_$)->NonNegativeInteger`dDeRhamComplex(CoefRing,listIndVar)``446571
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``446659
odegree`1`x`(_$)->E`cAbelianMonoidRing(R,E)``446828
odegree`1`x`(_$)->E`cGradedModule(R,E)``446915
odegree`1`x`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``447036
odegree`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``447119
odegree`1`x`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``447260
odegree`1`x`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``447387
odegree`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``447477
odegree`1`x`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``447567
odegree`1`x`(_$)->NonNegativeInteger`dPermutation(S)``447683
odegree`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``447771
odegree`1`x`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``447874
odegree`1`x`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``448063
odegree`2`n`(A,List(V))->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,V)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(MP,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``448187
odegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(SparseUnivariatePolynomial(P),List(OV))->List(NonNegativeInteger)`pFactoringUtilities(E,OV,R,P)``448270
odegree`2`n`(_$,List(VarSet))->List(NonNegativeInteger)`cMaybeSkewPolynomialCategory(R,E,VarSet)``448378
odegree`2`n`(_$,Symbol)->NonNegativeInteger`dFakePolynomial``0
odegree`2`n`(_$,VarSet)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``448518
odegree`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``448626
odehomogenize`1`n`(List(Record(ratpart:F,coeffs:Vector(F))))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pLinearCombinationUtilities(F,UP)``448808
odelay`1`x`(()->_$)->_$`dStream(S)``449268
odelete!`2`n`(A,Integer)->A`xListAggregate&(A,S)``0
odelete!`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
odelete!`2`x`(_$,Integer)->_$`cExtensibleLinearAggregate(S)``449421
odelete!`2`x`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``449509
odeleteProperty!`2`x`(_$,Symbol)->_$`dBasicOperator``449618
odeleteRow!`2`n`(_$,Integer)->Void`dSparseEchelonMatrix(C,D)``449782
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`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`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`x`(_$,Integer)->_$`cLinearAggregate(S)``449873
odelete`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``450041
odeltaComplex`1`n`(FiniteCubicalComplex(VS))->_$`dDeltaComplex(VS)``450230
odeltaComplex`1`n`(FiniteSimplicialComplex(VS))->_$`dDeltaComplex(VS)``450325
odeltaComplex`2`n`(FiniteSimplicialComplex(VS),Boolean)->_$`dDeltaComplex(VS)``0
odeltaComplex`3`n`(List(VS),NonNegativeInteger,List(List(List(Integer))))->_$`dDeltaComplex(VS)``450425
odelta_deriv`1`n`(R)->R`pLinearOrdinaryDifferentialOperator3Aux(Coeff,A,R)``450477
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``450546
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``450701
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``450931
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``451135
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``451459
odenom`1`n`(_$)->R`dLocalAlgebra(A,R)``451522
odenom`1`n`(_$)->R`dLocalize(M,R)``451581
odenom`1`x`(_$)->S`cQuotientFieldCategory(S)``451640
odenom`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``451713
odenom`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`451825
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``451937
odenominator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,IntegralDomain)`452002
odenominator`1`x`(_$)->_$`cQuotientFieldCategory(S)``452084
odenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``452174
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``452376
odequeue!`1`x`(_$)->S`cQueueAggregate(S)``452438
odequeue`1`x`(List(S))->_$`dDequeue(S)``452631
oderef`1`n`(_$)->S`dReference(S)``452817
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``452872
oderiv`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``453068
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`453151
oderivativeOf?`2`n`(S,S)->List(NonNegativeInteger)`xJetBundleCategory&(S)``0
oderivativeOf?`2`n`(_$,_$)->List(NonNegativeInteger)`cJetBundleCategory``453239
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``453443
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``453569
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``453821
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``454161
odestruct`1`x`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt)``454280
odetSysNS`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``454365
odetSysNS`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``454523
odetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``454681
odetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``454864
odetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``455092
odet_via_common_denominator`1`n`(Matrix(Fraction(R)))->Fraction(R)`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`455336
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`455414
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``455549
odeterminant`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`455684
odeterminant`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`455797
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``455874
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`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``455969
odiagonal?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``456163
odiagonal?`2`n`(_$,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``456357
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(M)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`456422
odiagonalMatrix`1`x`(List(R))->_$`cMatrixCategory(R,Row,Col)``456563
odiagonalMatrix`1`x`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``456668
odiagonalMatrix`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``456773
odiagonalMatrix`1`x`(Vector(R))->_$`dMatrix(R)``457334
odiagonalMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`457447
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``457673
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``457781
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``457890
odiagonal`2`n`(_$,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``457997
odiagonals`2`x`(_$,String)->Void`dThreeDimensionalViewport``458078
odiagramHeight`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramHeight`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``458422
odiagramSvg2`3`n`(String,_$,Boolean)->Void`dUndirectedGraph(S)``458584
odiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramSvg`3`n`(String,_$,Boolean)->Void`cFiniteGraph(S)``458924
odiagramWidth`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramWidth`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``459203
odiagramsSvg`3`n`(String,List(A),Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramsSvg`3`n`(String,List(_$),Boolean)->Void`cFiniteGraph(S)``459363
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->_$`cDictionaryOperations(S)``459627
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)``459710
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,NonNegativ--eInteger))),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:(NonNegativeI--nteger)->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:(No--nNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`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),kin--d: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)``459827
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)->Str--eam(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(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),No--nNegativeInteger))),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:(NonNegativeInteg--er)->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(SparseMultiva--riatePolynomial(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)),NonNegativeInte--ger),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(Fr--action(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(In--teger))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``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)))`459942
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),Sy--mbol)->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(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(I--nteger),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:(NonNeg--ativeInteger)->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(Spa--rseMultivariatePolynomial(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)),NonNe--gativeInteger),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(SparseMultivariatePol--ynomial(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,Exp--ression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
odiffP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`dJetVectorField(JB,D)``460076
odiffU`1`n`(PositiveInteger)->_$`dJetVectorField(JB,D)``460167
odiffX`1`n`(PositiveInteger)->_$`dJetVectorField(JB,D)``460246
odiff_map`1`n`(Var)->(R)->R`pPartialDifferentialOperatorHelper(R,Var)``0
odiff`1`n`(JB)->_$`dJetVectorField(JB,D)``460325
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``460402
odifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xSetAggregate&(A,S)``0
odifference`2`x`(_$,S)->_$`cSetAggregate(S)``460473
odifference`2`x`(_$,_$)->_$`cSetAggregate(S)``460705
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``461070
odifferentials`1`n`(_$)->List(JB)`dJetDifferential(JB,D)``461204
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``461306
odifferentiate`1`x`(_$)->_$`cDifferentialVariableCategory(S)``461462
odifferentiate`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``461529
odifferentiate`2`n`(A,(R)->R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,(S)->S)->A`xQuotientFieldCategory&(A,S)``0
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,S)->A`xPartialDifferentialRing&(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`(S,(Fraction(UP))->Fraction(UP))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``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,(UP)->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`xFunctionSpace&(S,R)``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,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`xFunctionSpace&(S,R)``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`(U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``461596
odifferentiate`2`n`(_$,(F)->F)->F`dIntegrationResult(F)``461631
odifferentiate`2`n`(_$,JB)->_$`cJetBundleFunctionCategory(JB)``461734
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``461847
odifferentiate`2`n`(_$,PositiveInteger)->Union(_$,"0")`cJetBundleCategory``462031
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`462149
odifferentiate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``462236
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``462339
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``462442
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``462546
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``462649
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``462752
odifferentiate`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``462856
odifferentiate`2`x`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``462964
odifferentiate`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``463074
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``463241
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``463325
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``463409
odifferentiate`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``463493
odifferentiate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``463599
odifferentiate`3`n`(A,(R)->R,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,(S)->S,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
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,S,NonNegativeInteger)->A`xPartialDifferentialRing&(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,(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,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`xFunctionSpace&(S,R)``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,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`xFunctionSpace&(S,R)``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``463702
odifferentiate`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``463737
odifferentiate`3`x`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Ring)`463879
odifferentiate`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``464066
odifferentiate`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``464198
odiffextint`3`n`((List(UP))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``464359
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``464502
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``464576
odigamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``464698
odigamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``464773
odigamma`1`x`(Float)->Float`pFloatSpecialFunctions``464895
odigamma`1`x`(_$)->_$`cSpecialFunctionCategory``464970
odigit?`1`x`(_$)->Boolean`dCharacter``465093
odigit`0`x`()->_$`dCharacterClass``465190
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``465306
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``465383
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``465460
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`465557
odigits`1`x`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``465654
odihedralGroup`1`n`(PositiveInteger)->_$`dGroupPresentation``465732
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``465846
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``466040
odihedral`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``466154
odilate`2`n`(R,_$)->_$`cSequenceCategory(R)``466254
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``466352
odilog`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``466399
odilog`1`x`(_$)->_$`cLiouvillianFunctionCategory``466440
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``466564
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``466661
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``466758
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``466870
odim`1`x`(Color)->_$`dPalette``466982
odimensionOfIrreducibleRepresentation`1`x`(List(Integer))->NonNegativeInteger`pIrrRepSymNatPackage``467074
odimension`0`n`()->CardinalNumber`xDirectProductCategory&(S,dim,R)``0
odimension`0`n`()->CardinalNumber`xFiniteAlgebraicExtensionField&(S,F)``0
odimension`0`x`()->CardinalNumber`cVectorSpace(S)``467302
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``467376
odimension`1`n`(_$)->NonNegativeInteger`dCell(TheField)``467434
odimension`1`n`(_$)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``467491
odimension`1`n`(_$)->PositiveInteger`cSPointCategory``467552
odimension`1`x`(_$)->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``467654
odimension`1`x`(_$)->PositiveInteger`cPointCategory(R)``467805
odimension`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``467886
odimension`2`x`(_$,List(VarSet))->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``468100
odimension`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
odimension`3`n`(List(_$),SparseEchelonMatrix(JB,_$),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``468207
odimensionsOf`1`n`(_$)->List(Polynomial(Integer))`dFortranType``468387
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``468452
odimensions`5`x`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``468912
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``469376
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``469553
odirectProduct`1`x`(Vector(R))->_$`cDirectProductCategory(dim,R)``469684
odirectProduct`2`n`(_$,_$)->_$`dGroupPresentation``469821
odirectSum`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`469863
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``470060
odirectedGraph`1`n`(FinitePoset(S))->_$`dDirectedGraph(S)``470297
odirectedGraph`1`n`(List(Permutation(S)))->_$`dDirectedGraph(S)``470452
odirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->_$`dDirectedGraph(S)``470547
odirectedGraph`1`n`(List(S))->_$`dDirectedGraph(S)``470694
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))))->_$`dDirectedGraph(S)``470970
odirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dDirectedGraph(S)``471121
odirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->_$`dDirectedGraph(S)``471224
odirection`1`n`(String)->Integer`pToolsForSign(R)``471411
odirections`1`n`(_$)->List(JB)`dJetVectorField(JB,D)``471452
odirectory`1`x`(_$)->String`cFileNameCategory``471569
odisableAlternativeOutput`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``471641
odisableDebugOutput`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``471722
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(_$)->NonNegativeInteger`cFiniteFieldCategory``471786
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``471915
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``472015
odiscriminantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``472130
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``472274
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``472333
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`n`(polR)->R`pPseudoRemainderSequence(R,polR)``472392
odiscriminant`1`x`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``472460
odiscriminant`1`x`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`472564
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`472647
odispGenerators`1`n`(_$)->OutputForm`dHomology``472772
odispStatement`1`n`(OutputForm)->Void`pFortranCodeTools``472816
odisplayKind`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``472848
odisplayKind`1`x`(Symbol)->_$`dGuessOption``473042
odisplayLines`1`n`(List(String))->Void`pFortranCodeTools``473236
odisplay`1`n`(Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F)))->OutputForm`pXDistributedPolynomialFunctions(VAR,F)``473266
odisplay`1`n`(String)->Void`dHTMLFormat``473396
odisplay`1`n`(String)->Void`dMathMLFormat``473459
odisplay`1`n`(String)->Void`dTexmacsFormat``473530
odisplay`1`n`(_$)->Void`cOutputFormatterCategory``473601
odisplay`1`n`(_$)->Void`dJetDifferentialEquation(JB,D)``473653
odisplay`1`n`(_$)->Void`dScriptFormulaFormat``474001
odisplay`1`n`(_$)->Void`dTexFormat``474181
odisplay`1`x`(_$)->Union((List(OutputForm))->OutputForm,"failed")`dBasicOperator``474365
odisplay`1`x`(_$)->Void`dDatabase(S)``474487
odisplay`1`x`(_$)->Void`dIndexCard``474564
odisplay`2`n`(_$,Integer)->Void`dScriptFormulaFormat``474650
odisplay`2`n`(_$,Integer)->Void`dTexFormat``474788
odisplay`2`n`(_$,List(Symbol))->OutputForm`dFreeDivisionAlgebra(VAR,F)``474930
odisplay`2`n`(_$,OutputForm)->OutputForm`dFreeDivisionAlgebra(VAR,F)``475052
odisplay`2`x`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``475132
odisplay`2`x`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``475361
odistFact`6`n`(Z,List(SparseUnivariatePolynomial(Z)),Record(contp:Z,factors:List(Record(irr:P,pow:NonNegativeInteger))),List(Z),List(OV),List(Z))->Union(Record(polfac:List(P),correct:Z,corrfact:List(SparseUnivariatePolynomial(Z))),"failed")`pLeadingCoefDetermination(OV,E,Z,P)``475598
odistanceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
odistanceMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``476129
odistanceSquared`2`n`(_$,_$)->DoubleFloat`cSPointCategory``476672
odistanceWeighted`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Union(W,"disjoint")`dWeightedGraph(S,W)``476936
odistance`2`n`(A,A)->Integer`xBinaryTreeCategory&(A,S)``0
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
odistance`2`n`(_$,_$)->DoubleFloat`cSPointCategory``477012
odistance`2`x`(_$,_$)->Integer`cRecursiveAggregate(S)``477305
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xFiniteGraph&(A,S)``0
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xPoset&(A,S)``0
odistance`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Integer`cFiniteGraph(S)``477405
odistdfact`2`x`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:NonNegativeInteger)))`pDistinctDegreeFactorize(F,FP)``477609
odistinct_partition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``477827
odistinct_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``478155
odistinct_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``478273
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`x`(_$)->_$`cExpressionSpace``478512
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`x`(_$,_$)->_$`cExpressionSpace``478695
odistributionByBooleanCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``478930
odistributionByBooleanCumulants`1`x`(Stream(R))->_$`dDistribution(R)``479044
odistributionByClassicalCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``479158
odistributionByClassicalCumulants`1`x`(Stream(R))->_$`dDistribution(R)``479269
odistributionByEvenMoments`1`x`(Sequence(R))->_$`dDistribution(R)``479380
odistributionByEvenMoments`1`x`(Stream(R))->_$`dDistribution(R)``479505
odistributionByFreeCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``479630
odistributionByFreeCumulants`1`x`(Stream(R))->_$`dDistribution(R)``479738
odistributionByJacobiParameters`2`x`(Sequence(R),Sequence(R))->_$`dDistribution(R)``479846
odistributionByJacobiParameters`2`x`(Stream(R),Stream(R))->_$`dDistribution(R)``479974
odistributionByMoments`1`x`(Sequence(R))->_$`dDistribution(R)``480102
odistributionByMoments`1`x`(Stream(R))->_$`dDistribution(R)``480197
odistributionByMonotoneCumulants`1`x`(Sequence(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`480292
odistributionByMonotoneCumulants`1`x`(Stream(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`480408
odistributionBySTransform`1`x`(Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R)))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`480524
odistributionBySTransform`1`x`(UPSR)->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``480641
odistributionBySTransform`3`x`(Fraction(Integer),Fraction(Integer),Sequence(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`480792
odivergence`2`n`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``480909
odivide!`4`n`(U32Vector,U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``481066
odivideExponents`2`x`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``481094
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``481329
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``481671
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dFreeMonoid(S)``481813
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``482038
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``482151
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``482386
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``482472
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``482843
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``483294
odivisor`1`x`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``483368
odivisor`2`x`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``483439
odivisor`3`x`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``483554
odivisor`5`x`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``483732
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``484054
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``484124
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``484184
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``484244
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``484304
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``484393
odoFactor`3`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer,Boolean)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``484479
odo_liou`2`n`(BasicOperator,List(Complex(F)))->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``484721
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)``484786
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)``485171
odo_with_error_env1`1`n`(()->List(String))->List(String)`pFortranCodeTools``485468
odo_with_error_env2`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``485504
odo_with_error_env3`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``485558
odom`1`x`(_$)->SExpression`dAny``485612
odomainOf`1`x`(_$)->OutputForm`dAny``485738
odominantTerm`1`n`(_$)->Union(Record(%term:Record(%coef:UnivariatePuiseuxSeries(FE,var,cen),%expon:ExponentialOfUnivariatePuiseuxSeries(FE,var,cen),%expTerms:List(Record(k:Fraction(Integer),c:FE))),%type:String),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``485862
odot`1`n`(_$)->_$`dOutputForm``486271
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``486332
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``486515
odot`2`x`(_$,_$)->R`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`486596
odot`2`x`(_$,_$)->R`cVectorCategory(R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`486687
odouble?`1`n`(_$)->Boolean`dFortranScalarType``486842
odoubleComplex?`1`n`(_$)->Boolean`dFortranScalarType``486941
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``487061
odoubleFloatFormat`1`x`(String)->String`dDoubleFloat``487103
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``487178
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``487346
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``487536
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``487622
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``487845
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``488584
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``489443
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``489680
odrawStyle`2`x`(_$,String)->Void`dThreeDimensionalViewport``490112
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``490510
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``490596
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``490793
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``490879
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``491010
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``491160
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``491336
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``491479
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``491658
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``491834
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``492068
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``492266
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``492520
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``492744
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``492982
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``493192
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``493508
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``493779
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``494048
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``494216
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``494452
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``494721
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``495050
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``495336
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``495689
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``495989
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``496355
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``496662
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``496979
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``497182
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``497546
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``497791
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``498189
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``498664
odunceHat`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``498722
odunceHat`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``498771
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``498825
oduplicates`1`x`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``498906
oeFromBinaryMap`1`x`(NonNegativeInteger)->_$`dCliffordAlgebra(n,K,bLin)``498993
oePseudoscalar`0`x`()->_$`dCliffordAlgebra(n,K,bLin)``499196
oe`1`x`(PositiveInteger)->_$`dCliffordAlgebra(n,K,bLin)``499221
oee`1`x`(List(PositiveInteger))->_$`dCliffordAlgebra(n,K,bLin)``499378
oei_int`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX(R,F)``499419
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``499677
oeigenvalues`1`n`(Matrix(F))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`499822
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`499899
oeigenvalues`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``499976
oeigenvector`2`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``500207
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``500338
oeigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`500469
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)`500831
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)``501190
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``501610
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``501779
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``501938
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``502062
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``502212
oelement?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``502296
oelement`3`n`(M,Integer,Integer)->M`pMatrixManipulation(R,Row,Col,M)``502396
oelementary`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``502505
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``502629
oelimZeroCols!`1`n`(_$)->Void`dSparseEchelonMatrix(C,D)``502721
oeliminationEquations`11`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`502857
oeliminationEquations`11`n`(_$,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)`503124
oeliminationEquations`7`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`503455
oeliminationGroebner`11`n`(_$,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)`503639
oeliminationSolve`1`n`(List(Polynomial(R)))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`503938
oeliminationSolve`2`n`(Polynomial(R),List(R))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`504035
oeliminationSolve`3`n`(List(Polynomial(R)),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`504188
oeliminationSolve`3`n`(Polynomial(R),List(R),List(Equation(Polynomial(R))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`504492
oeliminationSolve`3`n`(Polynomial(R),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`504697
oeliminationTransformations`5`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`504911
oeliminationTransformations`6`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(Equation(Polynomial(R))))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`505163
oeliminationTransformations`7`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger),Symbol,List(NonNegativeInteger),List(NonNegativeInteger),Symbol)->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`505336
oellipseBoundary`2`n`(PT,PT)->_$`dSBoundary(PT)``505612
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``505851
oellipticE`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``506128
oellipticE`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``506280
oellipticE`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``506360
oellipticE`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``506441
oellipticE`1`x`(Float)->Float`pFloatEllipticFunctions``506521
oellipticE`1`x`(_$)->_$`cSpecialFunctionCategory``506602
oellipticE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``506755
oellipticE`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`506919
oellipticE`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``507022
oellipticE`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``507110
oellipticE`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``507198
oellipticE`2`x`(Float,Float)->Float`pFloatEllipticFunctions``507286
oellipticE`2`x`(_$,_$)->_$`cSpecialFunctionCategory``507374
oellipticF`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``507539
oellipticF`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`507703
oellipticF`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``507806
oellipticF`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``507893
oellipticF`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``507980
oellipticF`2`x`(Float,Float)->Float`pFloatEllipticFunctions``508067
oellipticF`2`x`(_$,_$)->_$`cSpecialFunctionCategory``508154
oellipticK`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``508319
oellipticK`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``508470
oellipticK`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``508557
oellipticK`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``508637
oellipticK`1`x`(Float)->Float`pFloatEllipticFunctions``508722
oellipticK`1`x`(_$)->_$`cSpecialFunctionCategory``508802
oellipticPi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``508954
oellipticPi`3`n`(UTS,Coef,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`509141
oellipticPi`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``509251
oellipticPi`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``509344
oellipticPi`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``509437
oellipticPi`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``509530
oellipticPi`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``509623
oellipticRC`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``509811
oellipticRC`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``509924
oellipticRD`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``510037
oellipticRD`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``510170
oellipticRF`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``510303
oellipticRF`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``510436
oellipticRJ`4`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``510569
oellipticRJ`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``510739
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``510888
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``511014
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``511140
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`10`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``511366
oelt`1`n`(_$)->S`dReference(S)``511579
oelt`1`x`(_$)->R`dCartesianTensor(minix,dim,R)``511629
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(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,"last")->S`xLazyStreamAggregate&(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`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,"value")->S`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xLazyStreamAggregate&(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`(A,Integer)->S`xLazyStreamAggregate&(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,UniversalSegment(Integer))->A`xLazyStreamAggregate&(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`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,List(S))->S`xFunctionSpace&(S,R)``0
oelt`2`n`(BasicOperator,List(_$))->_$`dPattern(R)``511690
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace&(S,R)``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`(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`n`(_$,Integer)->R`cSequenceCategory(R)``511769
oelt`2`n`(_$,List(_$))->_$`dOutputForm``511842
oelt`2`n`(_$,NonNegativeInteger)->F`dFreeDivisionAlgebra(VAR,F)``511944
oelt`2`n`(_$,R)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``512023
oelt`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``512084
oelt`2`x`(BasicOperator,_$)->_$`cExpressionSpace``512251
oelt`2`x`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`512351
oelt`2`x`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`512489
oelt`2`x`(_$,"count")->NonNegativeInteger`dDataList(S)``512640
oelt`2`x`(_$,"first")->S`cUnaryRecursiveAggregate(S)``512708
oelt`2`x`(_$,"last")->S`cUnaryRecursiveAggregate(S)``512805
oelt`2`x`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``512899
oelt`2`x`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``512993
oelt`2`x`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``513087
oelt`2`x`(_$,"sort")->_$`dDataList(S)``513184
oelt`2`x`(_$,"unique")->_$`dDataList(S)``513274
oelt`2`x`(_$,"value")->S`cRecursiveAggregate(S)``513384
oelt`2`x`(_$,D)->I`cEltable(D,I)``513481
oelt`2`x`(_$,DirectProduct(n,K))->K`dQuadraticForm(n,K)``513642
oelt`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``513754
oelt`2`x`(_$,Integer)->R`cFramedNonAssociativeAlgebra(R)``513910
oelt`2`x`(_$,Integer)->R`dCartesianTensor(minix,dim,R)``514033
oelt`2`x`(_$,Integer)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``514097
oelt`2`x`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``514165
oelt`2`x`(_$,List(Integer))->_$`cSExpressionCategory(Str,Sym,Int,Flt)``514252
oelt`2`x`(_$,List(OutputForm))->_$`dSymbol``514348
oelt`2`x`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``514486
oelt`2`x`(_$,QueryEquation)->_$`dDatabase(S)``514570
oelt`2`x`(_$,S)->S`cPermutationCategory(S)``514655
oelt`2`x`(_$,Symbol)->Any`dLibrary``514744
oelt`2`x`(_$,Symbol)->DataList(String)`dDatabase(S)``514877
oelt`2`x`(_$,Symbol)->String`dIndexCard``514961
oelt`2`x`(_$,_$)->_$`cStringAggregate``515153
oelt`3`n`(A,Integer,S)->S`xLazyStreamAggregate&(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`xExpressionSpace&(S)``0
oelt`3`n`(BasicOperator,S,S)->S`xFunctionSpace&(S,R)``0
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`n`(_$,Integer,C)->D`dSparseEchelonMatrix(C,D)``515369
oelt`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``515496
oelt`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``515613
oelt`3`x`(BasicOperator,_$,_$)->_$`cExpressionSpace``515701
oelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``515832
oelt`3`x`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``515968
oelt`3`x`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``516116
oelt`3`x`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``516243
oelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``516378
oelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``516546
oelt`3`x`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``516720
oelt`3`x`(_$,Integer,List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``516789
oelt`3`x`(_$,Integer,List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``517073
oelt`3`x`(_$,List(Integer),Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``517280
oelt`3`x`(_$,List(Integer),List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``517564
oelt`3`x`(_$,List(Integer),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``517941
oelt`3`x`(_$,List(Segment(Integer)),Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``518083
oelt`3`x`(_$,List(Segment(Integer)),List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``518290
oelt`3`x`(_$,List(Segment(Integer)),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``518489
oelt`3`x`(_$,Segment(Integer),List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``518687
oelt`3`x`(_$,Segment(Integer),List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``518829
oelt`3`x`(_$,Segment(Integer),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``519027
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace&(S)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``519169
oelt`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``519297
oelt`4`x`(BasicOperator,_$,_$,_$)->_$`cExpressionSpace``519377
oelt`4`x`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``519538
oelt`4`x`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``519612
oelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``519831
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`5`x`(BasicOperator,_$,_$,_$,_$)->_$`cExpressionSpace``520048
oelt`5`x`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``520236
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`6`x`(BasicOperator,_$,_$,_$,_$,_$)->_$`cExpressionSpace``520315
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`7`x`(BasicOperator,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``520460
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`8`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``520622
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`9`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``520801
oeltable?`1`n`(F)->Boolean`pRecurrenceOperator(R,F)``520997
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(S)->Boolean`xFacetCategory&(S)``0
oempty?`1`n`(_$)->Boolean`cFacetCategory``521101
oempty?`1`n`(_$)->Boolean`dLatticeJoinOfMeets``521170
oempty?`1`n`(_$)->Boolean`dLatticeMeetOfJoins``521198
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``521226
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``521350
oempty?`1`n`(_$)->Boolean`dXmlElement``521439
oempty?`1`x`(_$)->Boolean`cAggregate``521526
oemptyLattice`0`n`()->_$`dLatticeJoinOfMeets``521584
oemptyLattice`0`n`()->_$`dLatticeMeetOfJoins``521618
oempty`0`n`()->_$`dOutputForm``521652
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``521697
oempty`0`n`()->_$`dSplittingNode(V,C)``521757
oempty`0`n`()->_$`dSymbolTable``521846
oempty`0`n`()->_$`dTheSymbolTable``521904
oempty`0`x`()->_$`cAggregate``521963
oempty`1`n`(Integer)->_$`dVectorIntegerReconstructor``522155
oempty`2`n`(Integer,Integer)->_$`dVectorModularReconstructor``522221
oenableAlternativeOutput`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``522319
oenableDebugOutput`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``522398
oendOfFile?`1`x`(_$)->Boolean`dTextFile``522460
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``522633
oenqueue!`2`x`(S,_$)->S`cQueueAggregate(S)``522728
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``522817
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``523012
oenterPointData`2`x`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``523271
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`n`(_$)->List(NonNegativeInteger)`dLoop``523489
oentries`1`x`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``523559
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))`523661
oenumerate`0`n`()->List(S)`xFinite&(S)``0
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``523753
oenumerate`0`x`()->List(_$)`cFinite``523849
oepilogue`1`n`(_$)->List(String)`dScriptFormulaFormat``523912
oepilogue`1`n`(_$)->List(String)`dTexFormat``524000
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(_$,_$)->Boolean`cAggregate``524080
oeqRep?`2`n`(_$,_$)->Boolean`dJetLazyFunction(JB,D)``524155
oeq`2`x`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``524356
oequal?`4`n`(_$,List(NonNegativeInteger),_$,List(NonNegativeInteger))->Boolean`dLinearMultivariateMatrixPencil(R)``524448
oequality`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``524622
oequation`2`x`(S,S)->_$`dEquation(S)``524926
oequation`2`x`(Symbol,Segment(S))->_$`dSegmentBinding(S)``524978
oequation`2`x`(Symbol,String)->_$`dQueryEquation``525153
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``525209
oerf`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``525257
oerf`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerf`1`x`(Float)->Float`pFloatLiouvilianFunctions``525305
oerf`1`x`(_$)->_$`cLiouvillianFunctionCategory``525353
oerfi`1`n`(F)->F`pLiouvillianFunction(R,F)``525506
oerfi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``525559
oerfi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerfi`1`x`(Float)->Float`pFloatLiouvilianFunctions``525612
oerfi`1`x`(_$)->_$`cLiouvillianFunctionCategory``525665
oerrorInfo`1`x`(_$)->List(Symbol)`dOpenMathError``525718
oerrorKind`1`x`(_$)->OpenMathErrorKind`dOpenMathError``525791
oerror`1`x`(List(String))->Exit`pErrorFunctions``525871
oerror`1`x`(String)->Exit`pErrorFunctions``525948
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``526023
oerror`2`x`(String,String)->Exit`pErrorFunctions``526187
oescape`0`x`()->_$`dCharacter``526355
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``526496
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``526653
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``526988
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``527295
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`(_$)->NonNegativeInteger`cEuclideanDomain``527480
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`527591
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``527682
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``527899
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``528221
oeval1`1`n`(_$)->_$`dJetLazyFunction(JB,D)``528374
oeval1`4`n`(MP,Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->MP`cModularEvaluationCategory(PT,MP)``528486
oeval1`4`n`(Polynomial(Integer),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Polynomial(Integer)`pPolynomialEvaluationUtilities``528627
oeval1`4`n`(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``528826
oeval1a`3`n`(MP,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Integer`cModularEvaluationCategory(PT,MP)``529046
oeval1a`3`n`(Polynomial(Integer),Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Integer`pPolynomialEvaluationUtilities``529190
oeval_at`4`n`(U32Vector,Integer,Integer,Integer)->Integer`pU32VectorPolynomialOperations``529427
oeval`1`n`(_$)->_$`dJetLazyFunction(JB,D)``529601
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``529708
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``529778
oeval`2`n`(A,Equation(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,Equation(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(A,List(Equation(A)))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,List(Equation(S)))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(S,Equation(R))->S`xEvalable&(S,R)``0
oeval`2`n`(S,Equation(R))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,Equation(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xEvalable&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,List(Equation(S)))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``530006
oeval`2`n`(_$,D)->D`dJetVectorField(JB,D)``530153
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``530240
oeval`2`n`(_$,JetVectorField(JB,D))->D`dJetDifferential(JB,D)``530392
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``530485
oeval`2`x`(Distribution(R),UPS)->S`pDistributionPolynomialPackage(R,S,UPS)``530637
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``530785
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``530905
oeval`2`x`(MxN,(M,N)->S)->S`cTensorProductProperty(R,M,N,MxN,S)``531168
oeval`2`x`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(^,Coef(Coef,Expon)))`531269
oeval`2`x`(_$,Equation(R))->_$`cEvalable(R)``531390
oeval`2`x`(_$,List(Equation(R)))->_$`cEvalable(R)``531464
oeval`2`x`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`531562
oeval`2`x`(_$,S)->S`cPermutationCategory(S)``531666
oeval`2`x`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`531756
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`xExpressionSpace&(S)``0
oeval`3`n`(S,BasicOperator,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,Kernel(S),S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,Kernel(S),S)->S`xFunctionSpace&(S,R)``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`xExpressionSpace&(S)``0
oeval`3`n`(S,List(BasicOperator),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``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(S),List(S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(S),List(S))->S`xFunctionSpace&(S,R)``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(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(Symbol),List((List(S))->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(Symbol),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(Symbol),List(R))->S`xFullyEvalableOver&(S,R)``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,S,S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,S,S)->S`xFunctionSpace&(S,R)``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,SingletonAsOrderedSet,R)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,SingletonAsOrderedSet,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,Symbol,R)->S`xFullyEvalableOver&(S,R)``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)``531841
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``531923
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``532156
oeval`3`x`(_$,A,B)->_$`cInnerEvalable(A,B)``532241
oeval`3`x`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``532316
oeval`3`x`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``532467
oeval`3`x`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``532571
oeval`3`x`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``532680
oeval`3`x`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``532881
oeval`3`x`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``533033
oeval`3`x`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``533234
oeval`3`x`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``533386
oeval`3`x`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``533509
oeval`3`x`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``533660
oeval`3`x`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``533764
oeval`4`n`(S,BasicOperator,S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(BasicOperator),List(S),Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`4`x`(_$,BasicOperator,_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`533839
oeval`4`x`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`533983
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`534175
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`534393
oeval`4`x`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`534569
oeval`4`x`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`534722
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluateInverse`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``534833
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``534885
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``535009
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``535243
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``535480
oevaluate`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``535664
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`535991
oeven?`1`x`(_$)->Boolean`cIntegerNumberSystem``536060
oeven?`1`x`(_$)->Boolean`dPermutation(S)``536136
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``536267
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``536419
oevenlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``536743
oevery?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oevery?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oevery?`2`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`537124
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``537440
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``537482
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``537524
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`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`537566
oexactQuotient!`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`537654
oexactQuotient`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`537741
oexactQuotient`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`537929
oexists?`1`x`(_$)->Boolean`cFileNameCategory``538117
oexp0`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``538187
oexp1`0`x`()->_$`dDoubleFloat``538386
oexp1`0`x`()->_$`dFloat``538459
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``538519
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``538606
oexp_lower_bound`7`n`(SparseUnivariatePolynomial(F),LaurentPolynomial(F,SparseUnivariatePolynomial(F)),Integer,Integer,List(Kernel(F)),F,(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Integer`pParametricRischDE(R,F)``539078
oexp`1`n`(F)->F`pElementaryFunction(R,F)``539390
oexp`1`n`(LiePolynomial(VarSet,R))->_$`dLieExponentials(VarSet,R,Order)``539456
oexp`1`n`(List(Integer))->_$`dAntiSymm(R,lVar)``539514
oexp`1`n`(S)->S`xComplexCategory&(S,R)``0
oexp`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``539588
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``539664
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``539740
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``539813
oexp`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``539888
oexp`1`x`(_$)->_$`cElementaryFunctionCategory``539955
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``540018
oexp`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`540109
oexpa`1`n`(_$)->IntegerMod(n)`dDihedralGroup(n,a,b)``540205
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``540297
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``540463
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)))`540576
oexpand`1`n`(_$)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``540967
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``541029
oexpand`1`x`(List(_$))->L`cSegmentExpansionCategory(S,L)``541435
oexpand`1`x`(_$)->L`cSegmentExpansionCategory(S,L)``541691
oexpand`1`x`(_$)->R`dFactored(R)``541880
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``542093
oexpand`2`x`(IntegrationResult(F),Symbol)->List(F)`pIntegrationResultToFunction(R,F)``542195
oexpand`2`x`(IntegrationResult(Fraction(Polynomial(R))),Symbol)->List(Expression(R))`pIntegrationResultRFToFunction(R)``542307
oexpb`1`n`(_$)->IntegerMod(2)`dDihedralGroup(n,a,b)``542419
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)``542520
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``542776
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)``542868
oexplicitEntries?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``543099
oexplicitlyEmpty?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``543239
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``543404
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``543606
oexponent`1`n`(_$)->E`dModuleMonomial(IS,E,ff)``543743
oexponent`1`n`(_$)->Integer`dCyclicGroup(n,g)``543783
oexponent`1`n`(_$)->Integer`dInfiniteCyclicGroup(g)``543860
oexponent`1`n`(_$)->Integer`dMachineFloat``543937
oexponent`1`n`(_$)->NonNegativeInteger`dIntegerLocalizedAtPrime(p)``543996
oexponent`1`n`(_$)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``544155
oexponent`1`x`(_$)->Integer`cFloatingPointSystem``544209
oexponenta`1`n`(_$)->Integer`dDihedralGroup(n,a,b)``544309
oexponentb`1`n`(_$)->Integer`dDihedralGroup(n,a,b)``544417
oexponential1`0`n`()->Float`pRandomFloatDistributions``544534
oexponentialOrder`1`n`(_$)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``544577
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``544689
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``544732
oexponents`1`n`(_$)->List(Integer)`dExtAlgBasis``544868
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)``545029
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)``547137
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)``549245
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)``549443
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)``549641
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)``550024
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)``550407
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)``552502
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``554597
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``554913
oexpressIdealMember`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(_$),_$)->Union(List(_$),"failed")`cPrincipalIdealDomain``554979
oexpression2Fortran1`3`n`(()->Symbol,OutputForm,Boolean)->List(String)`pFortranCodeTools``555186
oexpression2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``555248
oexprex`1`n`(OutputForm)->String`dHTMLFormat``555285
oexprex`1`n`(OutputForm)->String`dMathMLFormat``555360
oexptMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``555782
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``555904
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")`pStreamTaylorSeriesOperations(A)``555965
oexquo`2`n`(_$,_$)->_$`dOutputForm``556103
oexquo`2`x`(_$,R)->Union(_$,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`556166
oexquo`2`x`(_$,R)->Union(_$,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,EntireRing)`556306
oexquo`2`x`(_$,R)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`556426
oexquo`2`x`(_$,R)->Union(_$,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`556576
oexquo`2`x`(_$,R)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`556726
oexquo`2`x`(_$,_$)->Union(_$,"failed")`cEntireRing``556852
oexquo`2`x`(_$,_$)->Union(_$,"failed")`dNonNegativeInteger``556983
oextendIfCan`2`x`(_$,P)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``557125
oextendToPoint`2`n`(_$,PT)->_$`dSBoundary(PT)``557693
oextend`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``557854
oextend`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``557955
oextend`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``558120
oextend`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``558219
oextend`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``558516
oextend`2`x`(_$,Integer)->_$`cLazyStreamAggregate(S)``558619
oextend`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``558856
oextend`2`x`(_$,Integer)->_$`dContinuedFraction(R)``558940
oextend`2`x`(_$,List(R))->_$`cPointCategory(R)``559120
oextend`2`x`(_$,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``559168
oextend`2`x`(_$,P)->_$`cTriangularSetCategory(R,E,V,P)``559264
oextendedALS`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``559557
oextendedCoords`1`n`(_$)->List(DoubleFloat)`cSPointCategory``559668
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cEuclideanDomain``559741
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`x`(_$,_$,_$)->Union(Record(coef1:_$,coef2:_$),"failed")`cEuclideanDomain``560127
oextendedLLL!`2`n`(Matrix(Integer),NonNegativeInteger)->Matrix(Integer)`pLLLReduction``560341
oextendedLLL`1`n`(Matrix(Integer))->Record(lll:Matrix(Integer),trf:Matrix(Integer))`pLLLReduction``560686
oextendedResultant`2`n`(_$,_$)->Record(resultant:R,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`560897
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`561060
oextendedSubResultantGcd`2`x`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`561247
oextended_gcd`3`n`(U32Vector,U32Vector,Integer)->List(U32Vector)`pU32VectorPolynomialOperations``561419
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)``561722
oextendedint`3`n`(Symbol,List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricIntegration(R,F)``562035
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)``562259
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``562516
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``562587
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``562728
oextension`1`x`(_$)->String`cFileNameCategory``562799
oexteriorDifferential`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``562866
oexternal?`1`n`(_$)->Boolean`dFortranType``563013
oexternalList`1`n`(_$)->List(Symbol)`dSymbolTable``563099
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`x`(_$)->S`cBagAggregate(S)``563188
oextractBottom!`1`x`(_$)->S`cDequeueAggregate(S)``563271
oextractClosed`1`n`(_$)->Boolean`dSubSpace(n,R)``563408
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``563642
oextractIndex`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``563713
oextractPoint`1`n`(_$)->Point(R)`dSubSpace(n,R)``563841
oextractProperty`1`n`(_$)->SubSpaceComponentProperty`dSubSpace(n,R)``564000
oextractSplittingLeaf`1`n`(_$)->Union(_$,"failed")`dSplittingTree(V,C)``564151
oextractSymbol`1`n`(SparseEchelonMatrix(JB,S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
oextractSymbol`1`n`(SparseEchelonMatrix(JB,_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``564294
oextractSymbol`2`n`(_$,Boolean)->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``564380
oextractTop!`1`x`(_$)->S`cDequeueAggregate(S)``564575
oextract`3`n`(_$,Integer,Integer)->_$`dSparseEchelonMatrix(C,D)``564707
oeyeDistance`2`x`(_$,Float)->Void`dThreeDimensionalViewport``564819
ofaceMap`2`n`(_$,NonNegativeInteger)->List(List(Integer))`dDeltaComplex(VS)``565020
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`565275
ofactorAndSplit`1`x`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`565383
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``565560
ofactorFraction`1`x`(_$)->Fraction(Factored(S))`dFraction(S)`has(S,UniqueFactorizationDomain)`565788
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``565888
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``566034
ofactorList`1`x`(_$)->List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger))`dFactored(R)``566275
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``566371
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``566428
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``566565
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``566651
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``566831
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``566974
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``567217
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``567576
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``567694
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``567811
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorSquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``568093
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``568289
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``568401
ofactorSquareFree`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``568545
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``568655
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``568938
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``569184
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``569526
ofactor`1`n`(FreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``569840
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``569920
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`569995
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``570051
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``570148
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``570280
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``570355
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)``570446
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``570755
ofactor`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)`has(F,PolynomialFactorizationExplicit)`0
ofactor`1`n`(_$)->List(_$)`dFreeDivisionAlgebra(VAR,F)``570836
ofactor`1`n`(_$)->List(_$)`dILogic``571015
ofactor`1`n`(_$)->List(_$)`dLatticeJoinOfMeets``571356
ofactor`1`n`(_$)->List(_$)`dLatticeMeetOfJoins``571697
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``572038
ofactor`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``572140
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``572228
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``572325
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``572446
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``572530
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``572715
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``572939
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``573051
ofactor`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``573118
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``573199
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``573323
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``573432
ofactor`2`n`(SparseUnivariatePolynomial(F),List(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``573581
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``573744
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``573976
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``574174
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``574335
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``574574
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``574714
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``574935
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)``575095
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``575126
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``575383
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``575612
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``575927
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``576020
ofactorial`1`x`(_$)->_$`cCombinatorialFunctionCategory``576174
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``576339
ofactorials`1`x`(_$)->_$`cCombinatorialOpsCategory``576443
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``576547
ofactorials`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``576675
ofactorizationEquations`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``576803
ofactorizationGroebner`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``576903
ofactorizationSolve`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``577002
ofactorizationTransformations`4`n`(_$,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``577217
ofactorize`2`n`(_$,NonNegativeInteger)->List(_$)`dFreeDivisionAlgebra(VAR,F)``577329
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:NonNegativeInteger))`cFiniteFieldCategory``577477
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``577563
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``577677
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`dFreeMonoid(S)``577774
ofactors`1`n`(_$)->List(_$)`dFreeDivisionAlgebra(VAR,F)``577871
ofactors`1`x`(_$)->List(Record(factor:R,exponent:NonNegativeInteger))`dFactored(R)``578001
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``578293
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``578372
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``578434
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``578496
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``578543
ofalse`0`x`()->_$`cLogic``578590
offfg`3`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``578633
offfg`4`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``578717
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``579570
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``579729
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``579890
ofilename`3`x`(String,String,String)->_$`cFileNameCategory``580219
ofill!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
ofill!`2`n`(S,Entry)->S`xIndexedAggregate&(S,Index,Entry)``0
ofill!`2`n`(S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ofill!`2`x`(_$,Entry)->_$`cIndexedAggregate(Index,Entry)`has(_$,shallowlyMutable)`580474
ofill!`2`x`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``580601
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``580667
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``580726
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dStream(S)``580806
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``580987
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dStream(S)``581063
ofindCycle`2`x`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``581247
ofindNode`2`n`(_$,String)->Scene(PT)`dSceneNamedPoints(PT)``581326
ofindNonZeroEntry`3`n`(Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`pXDistributedPolynomialFunctions(VAR,F)``581381
ofindPoint`2`n`(_$,String)->PT`dSceneNamedPoints(PT)``581599
ofind_relation`2`n`(List(Float),NonNegativeInteger)->List(Integer)`pLLLReduction``581683
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`x`((S)->Boolean,_$)->Union(S,"failed")`cCollection(S)``581815
ofinite?`1`x`(_$)->Boolean`dCardinalNumber``581945
ofinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``582059
ofinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``582113
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``582167
ofiniteLattice`1`n`(NonNegativeInteger)->_$`dFiniteLattice(S,p)``582254
ofiniteLattice`1`n`(S)->_$`dFiniteLattice(S,p)``582305
ofinitePoset`2`n`(List(S),(S,S)->Boolean)->_$`cPoset(S)``582357
ofinitePoset`2`n`(List(S),List(List(Boolean)))->_$`cPoset(S)``582468
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`582528
ofintegrate`3`x`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`582742
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``582956
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``583075
ofirst`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ofirst`1`n`(A)->S`xLinearAggregate&(A,S)``0
ofirst`1`n`(A)->S`xStreamAggregate&(A,S)``0
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`(_$)->A`dProduct(A,B)``583394
ofirst`1`n`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``583456
ofirst`1`n`(_$)->S`dFreeMonoid(S)``583530
ofirst`1`n`(_$)->VarSet`dFreeMagma(VarSet)``583591
ofirst`1`x`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`583660
ofirst`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``583825
ofirst`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``583935
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xLinearAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xStreamAggregate&(A,S)``0
ofirst`2`n`(_$,NonNegativeInteger)->_$`cSequenceCategory(R)``584087
ofirst`2`x`(_$,NonNegativeInteger)->_$`cLinearAggregate(S)``584166
ofirst`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``584305
ofirstn`2`n`(_$,NonNegativeInteger)->List(R)`cSequenceCategory(R)``584392
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``584466
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``584554
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``584804
ofixedPoints`1`x`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`584928
oflagFactor`3`x`(R,NonNegativeInteger,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``585011
oflatten`1`n`(DirectedGraph(A))->A`xPoset&(A,S)``0
oflatten`1`n`(DirectedGraph(_$))->_$`cFiniteGraph(S)``585189
oflatten`1`n`(_$)->_$`dInputForm``585381
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``585621
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``585840
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``586059
oflexibleArray`1`x`(List(S))->_$`dFlexibleArray(S)``0
ofloat?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``586150
ofloat`1`x`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt)``586238
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->_$`cFloatingPointSystem``586374
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``586433
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`586492
ofloor`1`x`(_$)->_$`cRealNumberSystem``586568
oflush`1`x`(_$)->Void`cFileCategory(Name,S)``586631
ofmecg`4`n`(S,E,R,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
ofmecg`4`x`(_$,E,R,_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,Ring)`586723
oforLoop`2`n`(SegmentBinding(Polynomial(Integer)),_$)->_$`dFortranCode``586806
oforLoop`3`n`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),_$)->_$`dFortranCode``586935
oformalDiff2`3`n`(List(S),PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DSys:List(S),JVars:List(List(JB)))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(List(_$),PositiveInteger,SparseEchelonMatrix(JB,_$))->Record(DSys:List(_$),JVars:List(List(JB)))`cJetBundleFunctionCategory(JB)``587081
oformalDiff2`3`n`(S,PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DPhi:S,JVars:List(JB))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(_$,PositiveInteger,SparseEchelonMatrix(JB,_$))->Record(DPhi:_$,JVars:List(JB))`cJetBundleFunctionCategory(JB)``587187
oformalDiff`2`n`(List(S),PositiveInteger)->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(List(_$),PositiveInteger)->List(_$)`cJetBundleFunctionCategory(JB)``587466
oformalDiff`2`n`(S,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(S,PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(_$,List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``587614
oformalDiff`2`n`(_$,PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``587724
oformula`1`n`(_$)->List(String)`dScriptFormulaFormat``587856
ofortFormatHead`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol))->Void`pFortranCodeTools``587942
ofortFormatTypeLines`2`n`(String,List(String))->Void`pFortranCodeTools``587999
ofort_clean_lines`1`n`(List(String))->List(String)`pFortranCodeTools``0
ofort_format_types`2`n`(String,List(OutputForm))->Void`pFortranCodeTools``588048
ofortranCarriageReturn`0`n`()->Void`dFortranTemplate``588099
ofortranCharacter`0`n`()->_$`dFortranType``588201
ofortranComplex`0`n`()->_$`dFortranType``588281
ofortranDoubleComplex`0`n`()->_$`dFortranType``588357
ofortranDouble`0`n`()->_$`dFortranType``588446
ofortranInteger`0`n`()->_$`dFortranType``588530
ofortranLiteralLine`1`n`(String)->Void`dFortranTemplate``588606
ofortranLiteral`1`n`(String)->Void`dFortranTemplate``588728
ofortranLogical`0`n`()->_$`dFortranType``588813
ofortranReal`0`n`()->_$`dFortranType``588889
ofortranTypeOf`2`n`(Symbol,_$)->FortranType`dSymbolTable``588959
ofortran`3`n`(Symbol,FortranScalarType,FS)->_$`dSimpleFortranProgram(R,FS)``589033
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``589217
ofracPart`1`x`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``589256
ofractRadix`2`x`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``589347
ofractRagits`1`x`(_$)->Stream(Integer)`dRadixExpansion(bb)``589558
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`589652
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``589759
ofractionPart`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``589840
ofractionPart`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``589922
ofractionPart`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``590008
ofractionPart`1`x`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`590089
ofractionPart`1`x`(_$)->_$`cRealNumberSystem``590216
ofractionalTerms`1`x`(_$)->List(Record(num:R,den:Factored(R)))`dPartialFraction(R)``590286
ofree?`1`n`(_$)->Boolean`dLambda(UT)``590472
ofreeConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``590574
ofreeCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``590684
ofreeCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``590801
ofreeCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``590903
ofreeMultiplicativeConvolution`2`x`(Distribution(R),Distribution(R))->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``591003
ofreeMultiplicativeConvolution`2`x`(_$,_$)->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`591143
ofreeOf?`2`n`(S,JB)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(_$,JB)->Boolean`cJetBundleFunctionCategory(JB)``591288
ofreeOf?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``591384
ofreeOf?`2`x`(_$,_$)->Boolean`cExpressionSpace``591486
ofreePoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``591616
ofreeVariable?`2`n`(_$,UT)->Boolean`dSKICombinators(UT)``591716
ofresnelC`1`n`(F)->F`pLiouvillianFunction(R,F)``591833
ofresnelC`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``591897
ofresnelC`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelC`1`x`(Float)->Float`pFloatLiouvilianFunctions``591961
ofresnelC`1`x`(_$)->_$`cLiouvillianFunctionCategory``592025
ofresnelS`1`n`(F)->F`pLiouvillianFunction(R,F)``592139
ofresnelS`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``592203
ofresnelS`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelS`1`x`(Float)->Float`pFloatLiouvilianFunctions``592267
ofresnelS`1`x`(_$)->_$`cLiouvillianFunctionCategory``592331
ofrobenius`1`n`(_$)->_$`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`592445
ofront`1`x`(_$)->S`cQueueAggregate(S)``592531
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`592681
ofrst`1`x`(_$)->S`cLazyStreamAggregate(S)``592778
ofullDisplay`1`x`(_$)->Void`dDatabase(S)``592963
ofullDisplay`1`x`(_$)->Void`dIndexCard``593041
ofullDisplay`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``593125
ofullPartialFraction`1`x`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``593248
ofunctionGraph`1`n`(List(Permutation(S)))->_$`dFunctionGraph(S)``593417
ofunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:NonNegativeInteger,map:List(NonNegativeInteger))))->_$`dFunctionGraph(S)``593469
ofunctionGraph`1`n`(List(S))->_$`dFunctionGraph(S)``593573
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))))->_$`dFunctionGraph(S)``593845
ofunctionName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``593960
ofunctionName`1`x`(Symbol)->_$`dGuessOption``594091
ofunctionNames`1`n`(List(GuessOption))->List(Symbol)`dGuessOptionFunctions0``594279
ofunctionNames`1`x`(List(Symbol))->_$`dGuessOption``594421
ofunction`2`n`(Symbol,List(_$))->_$`dJetBundleXExpression(JB)``594578
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``594677
ofunction`3`n`(Symbol,List(_$),NonNegativeInteger)->_$`dJetBundleExpression(JB)``594748
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``594917
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``595047
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``595154
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``595231
ofundamentalGroup`1`n`(_$)->GroupPresentation`dDeltaComplex(VS)``595317
ofundamentalGroup`1`n`(_$)->GroupPresentation`dFiniteCubicalComplex(VS)``595382
ofundamentalGroup`1`n`(_$)->GroupPresentation`dFiniteSimplicialComplex(VS)``595876
ofundamentalGroup`3`n`(_$,Boolean,Boolean)->GroupPresentation`dDeltaComplex(VS)``596408
ofundamentalGroup`3`n`(_$,Boolean,Boolean)->GroupPresentation`dFiniteCubicalComplex(VS)``596473
ofundamentalGroup`3`n`(_$,Boolean,Boolean)->GroupPresentation`dFiniteSimplicialComplex(VS)``597009
ogamma`0`x`()->Complex(Float)`pFloatLiouvilianFunctions``597582
ogaugeHilbert`2`n`(NonNegativeInteger,List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``597626
ogauge`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``597787
ogaussianDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``597992
ogbasisExtend`4`n`(List(Dpol),List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``598085
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``598354
ogcdBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``598435
ogcdBasis`1`n`(Vector(R))->Vector(R)`pGcdBasis(R)``598501
ogcdDecomposition`1`n`(Vector(Fraction(R)))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``598577
ogcdDecomposition`1`n`(Vector(R))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``598746
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``598915
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xFiniteFieldCategory&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xGcdDomain&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xUnivariatePolynomialCategory&(S,R)``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cGcdDomain``598999
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cPolynomialFactorizationExplicit``599126
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``599245
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``599347
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``599458
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``599569
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``599648
ogcd`1`n`(List(S))->S`xEuclideanDomain&(S)``0
ogcd`1`n`(List(S))->S`xField&(S)``0
ogcd`1`n`(List(S))->S`xGcdDomain&(S)``0
ogcd`1`n`(List(S))->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`1`n`(List(S))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`1`n`(List(SparseUnivariatePolynomial(P)))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``599732
ogcd`1`x`(List(_$))->_$`cGcdDomain``599816
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``599905
ogcd`2`n`(R,S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(S,S)->S`xEuclideanDomain&(S)``0
ogcd`2`n`(S,S)->S`xField&(S)``0
ogcd`2`n`(S,S)->S`xGcdDomain&(S)``0
ogcd`2`n`(S,S)->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``600001
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`600097
ogcd`2`x`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`600172
ogcd`2`x`(_$,_$)->_$`cGcdDomain``600262
ogcd`2`x`(_$,_$)->_$`dNonNegativeInteger``600350
ogcd`2`x`(_$,_$)->_$`dPositiveInteger``600465
ogcd`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``600576
ogcd`3`x`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``600679
ogcd`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``600825
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``600957
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``601058
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``601162
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``601260
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(R--ecord(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)``601364
ogenVectorStream2`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``601395
ogenVectorStream`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``601457
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)``601650
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)))))`pLine--arOrdinaryDifferentialOperatorFactorizer2(var,cen)``601873
ogeneralCoefficient`4`n`((NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D`pFractionFreeFastGaussian(D,V)``601904
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteLambertProduct(Coef,UTS)``602293
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``602468
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(VF),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussianFractions(D,V,VF)``603333
ogeneralInterpolation`5`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``603793
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``603996
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateFormalPowerSeries(Coef)``0
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``604198
ogeneralPosition`2`x`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``604429
ogeneralSqFr`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``604613
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``604769
ogeneral_Lambert_product`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``604918
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``605132
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``605233
ogeneralizedEigenvector`2`n`(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``605351
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)``605536
ogeneralizedEigenvector`4`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``605721
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``606001
ogeneralizedEigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`606281
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)`606383
ogeneralizedEigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``606509
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`606669
ogeneralizedMoebiusFunction`2`n`(List(P),(P,P)->R)->_$`dGeneralizedFiniteMoebiusFunction(P,R)``606913
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``606998
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`n`()->_$`dCyclicGroup(n,g)``607132
ogenerator`0`n`()->_$`dInfiniteCyclicGroup(g)``607181
ogenerator`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`607230
ogenerator`0`x`()->_$`cMonogenicAlgebra(R,UP)``607369
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``607434
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``607526
ogenerator`1`x`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``607612
ogenerator`1`x`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``607676
ogenerators`0`n`()->List(_$)`cFinitelyGenerated``607780
ogenerators`1`x`(_$)->List(DPoly)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``607839
ogenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``607920
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``607995
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`608070
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`608404
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`608549
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`608822
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`608970
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``609212
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`609358
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`609693
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`609843
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`610083
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`610236
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``610443
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``610613
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``610780
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``610984
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``611156
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``611321
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``611550
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``611630
ogeometric`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``611710
ogetArr`1`n`(_$)->List(List(Boolean))`cPoset(S)``611751
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`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``611906
ogetArrows`1`n`(A)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`xPoset&(A,S)``0
ogetArrows`1`n`(_$)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`cFiniteGraph(S)``612001
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``612072
ogetBoundValue`1`n`(_$)->NonNegativeInteger`dLambda(UT)``612213
ogetCentre`1`n`(_$)->PT`dSBoundary(PT)``612295
ogetChildren`1`n`(_$)->List(_$)`dILogic``612394
ogetChildren`1`n`(_$)->List(_$)`dLambda(UT)``612469
ogetChildren`1`n`(_$)->List(_$)`dLatticeJoinOfMeets``612591
ogetChildren`1`n`(_$)->List(_$)`dLatticeMeetOfJoins``612666
ogetChildren`1`n`(_$)->List(_$)`dSKICombinators(UT)``612741
ogetCode`1`n`(_$)->List(String)`dFortranCode``612816
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``612953
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``613097
ogetEq`1`n`(F)->F`pRecurrenceOperator(R,F)``613356
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``613477
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``613555
ogetIndexesSigned`1`n`(_$)->List(Integer)`dOrientedFacet``613801
ogetIndexes`1`n`(_$)->List(NonNegativeInteger)`dOrientedFacet``613862
ogetIndexs`1`n`(_$)->List(Record(left:NonNegativeInteger,right:NonNegativeInteger))`dProductFacet``613893
ogetIntervals`1`n`(_$)->List(Segment(Integer))`dCubicalFacet``613921
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``613977
ogetMaxLeft`1`n`(_$)->NonNegativeInteger`dProductFacet``614138
ogetMaxRight`1`n`(_$)->NonNegativeInteger`dProductFacet``614172
ogetMax`1`n`(_$)->PT`dSBoundary(PT)``614207
ogetMin`1`n`(_$)->PT`dSBoundary(PT)``614300
ogetMult`1`n`(_$)->Integer`cFacetCategory``614393
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``614427
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``614521
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``614615
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``614709
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``614886
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``615063
ogetName`1`n`(_$)->String`cVarCat``615240
ogetNames`1`n`(_$)->List(String)`dSceneNamedPoints(PT)``615281
ogetNotation`0`n`()->Symbol`cJetBundleCategory``615345
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)``615408
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``615602
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``615905
ogetSimplifyDenomsFlag`0`x`()->Boolean`dExpression(R)`has(R,IntegralDomain)`616021
ogetStatement`2`n`(OutputForm,Boolean)->List(String)`pFortranCodeTools``616148
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``616197
ogetType`0`n`()->InputForm`pInputFormFunctions1(R)``616286
ogetType`1`n`(_$)->ILogic`cVarCat``616359
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``616560
ogetVariable`1`n`(_$)->UT`dLambda(UT)``616767
ogetVariable`1`n`(_$)->UT`dSKICombinators(UT)``616877
ogetVert`1`n`(_$)->List(S)`cPoset(S)``616955
ogetVertexIndex`2`n`(A,S)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetVertexIndex`2`n`(_$,S)->NonNegativeInteger`cFiniteGraph(S)``617140
ogetVertices`1`n`(A)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`xPoset&(A,S)``0
ogetVertices`1`n`(_$)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`cFiniteGraph(S)``617232
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``617332
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``617470
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``617599
oget_fort_indent`0`n`()->Integer`pFortranCodeTools``617737
oget_rational_roots`1`n`(UP)->List(Fraction(Integer))`pPolynomialRationalRoots(F,UP)``617812
oget_rational_roots`2`n`(F,Kernel(F))->List(Fraction(Integer))`pFunctionSpaceRationalRoots(R,F)``617881
oget_used_intrinsics`0`n`()->List(String)`pFortranCodeTools``618000
oget_variables`3`n`(List(List(Fraction(Polynomial(Integer)))),Symbol,Symbol)->List(Symbol)`pModularHermitePade``0
oglb`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
oglb`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``618065
ognuDraw`3`x`(Expression(Float),SegmentBinding(Float),String)->Void`pGnuDraw``618292
ognuDraw`3`x`(List(DoubleFloat),List(DoubleFloat),String)->Void`pGnuDraw``618354
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String)->Void`pGnuDraw``618436
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``618506
ognuDraw`4`x`(List(DoubleFloat),List(DoubleFloat),String,List(DrawOption))->Void`pGnuDraw``618562
ognuDraw`5`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``618638
ogoodPoint`2`n`(List(UPUP),UPUP)->F`pChangeOfVariable(F,UP,UPUP)``618702
ogotoJump`1`n`(SingleInteger)->_$`dFortranCode``618891
ogradeInvolution`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``618970
ograde`1`n`(_$)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``619027
ograde`1`n`(_$)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``619199
ograde`1`x`(_$)->NonNegativeInteger`dCliffordAlgebra(n,K,bLin)``619449
ogradient`2`n`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``619569
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``619758
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``619915
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``620087
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``620251
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``620477
ographImage`0`n`()->_$`dGraphImage``620918
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``621103
ographStates`1`n`(_$)->Vector(Record(scaleX:DoubleFloat,scaleY:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat,points:Integer,connect:Integer,spline:Integer,axes:Integer,axesColor:Palette,units:Integer,unitsColor:Palette,showing:Integer))`dTwoDimensionalViewport``622210
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``622481
ographs`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``622821
ogreen`0`x`()->_$`dColor``622994
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``623071
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``623368
ogroebner?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``623405
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``623500
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``624002
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``624590
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``625207
ogroebnerIdeal`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``625916
ogroebner`1`n`(List(Dpol))->List(Dpol)`pNGroebnerPackage(Dom,Expon,Dpol)``626128
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``626252
ogroebner`1`n`(List(P))->List(P)`pJetGroebner(R,JB,LJV,P,E)``626468
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``626575
ogroebner`1`n`(List(_$))->List(_$)`dDistributedJetBundlePolynomial(R,JB,LJV,E)`has(R,GcdDomain)`626794
ogroebner`1`n`(List(_$))->List(_$)`dJetBundlePolynomial(R,JB)`has(R,GcdDomain)`626909
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``627036
ogroebner`1`x`(_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``627160
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``627266
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``627731
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`n`(_$)->Boolean`dJetBundleLinearFunction(JB,D)``628119
oground?`1`n`(_$)->Boolean`dJetLazyFunction(JB,D)``628223
oground?`1`x`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``628318
oground?`1`x`(_$)->Boolean`cFunctionSpace(R)``628409
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`n`(_$)->Record(numer:Polynomial(Integer),denom:Polynomial(Integer))`dFakePolynomial``0
oground`1`n`(_$)->_$`dJetBundleLinearFunction(JB,D)``628479
oground`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)``628540
oground`1`x`(_$)->R`cFunctionSpace(R)``628618
ogroupPresentation`0`n`()->_$`dGroupPresentation``628745
ogroupPresentation`1`n`(List(NonNegativeInteger))->_$`dGroupPresentation``628808
ogroupPresentation`2`n`(List(NonNegativeInteger),List(List(Integer)))->_$`dGroupPresentation``628869
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``628916
oguessADE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`629146
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``629351
oguessADE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
oguessAlgDep`1`n`(List(List(AlgebraicNumber)))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`1`x`(List(List(F)))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``629545
oguessAlgDep`1`x`(List(List(F)))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``629783
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
oguessAlg`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``629973
oguessAlg`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``630269
oguessAlg`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
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)))`630542
oguessBinRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``630781
oguessBinRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`630997
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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)``631236
oguessBinRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``631452
oguessBinRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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)))`631668
oguessExpRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``631899
oguessExpRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`632092
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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)``632323
oguessExpRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``632528
oguessExpRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``632733
oguessFE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``632962
oguessFE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``633155
oguessHolo`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`633459
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``633661
oguessHolo`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``633949
oguessPRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`634222
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``634488
oguessPRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
oguessPade`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``634745
oguessPade`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``635078
oguessPade`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``635343
oguessRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`635625
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``635897
oguessRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``636143
oguessRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`636331
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``636495
oguessRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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
oguess`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``636647
oguess`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``636840
oguess`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
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(EXPRR)),List(Symbol))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``636998
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(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(EXPRR)),List(Symbol),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``637294
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(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
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``637557
ohMonic`1`n`(Dpol)->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``637592
ohadamard`2`n`(UnivariateFormalPowerSeries(Coef),UnivariateFormalPowerSeries(Coef))->UnivariateFormalPowerSeries(Coef)`pUnivariateFormalPowerSeriesFunctions(Coef)``0
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`637654
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`637798
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`637942
ohalfExtendedSubResultantGcd1`2`x`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`638098
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`638276
ohalfExtendedSubResultantGcd2`2`x`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`638432
ohandle_imaginary`1`n`(FiniteDivisor(F,UP,UPUP,R))->Record(ncurve:UPUP,n_div_numer:Vector(UPUP),n_div_denom:UPUP,need_change:Boolean)`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``638610
ohankelDeterminant`2`n`(Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``638677
ohankelDeterminants`1`n`(_$)->Stream(R)`cDistributionCategory(R)``638785
ohankelH1`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``638893
ohankelH1`2`x`(_$,_$)->_$`cSpecialFunctionCategory``638985
ohankelH2`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``639078
ohankelH2`2`x`(_$,_$)->_$`cSpecialFunctionCategory``639175
ohankelIndices`1`n`(XDistributedPolynomial(VAR,F))->List(FreeMonoid(VAR))`pXDistributedPolynomialFunctions(VAR,F)``639273
ohankelMatrix`1`n`(XDistributedPolynomial(VAR,F))->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``639447
ohankelMatrix`2`n`(XDistributedPolynomial(VAR,F),VAR)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``639702
ohankelSystem`1`n`(XDistributedPolynomial(VAR,F))->Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``639942
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``640120
ohas?`2`x`(_$,Symbol)->Boolean`dBasicOperator``640228
ohasDimension?`1`n`(_$)->Boolean`dSimpleCell(TheField,ThePols)``640309
ohasDimension?`2`n`(_$,Symbol)->Boolean`dCell(TheField)``640481
ohasHi`1`x`(_$)->Boolean`dUniversalSegment(S)``640626
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``640704
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``640784
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``640876
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``640968
ohas_op?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``641047
ohashUpdate!`2`n`(HashState,A)->HashState`xBinaryTreeCategory&(A,S)``0
ohashUpdate!`2`n`(HashState,A)->HashState`xLinearAggregate&(A,S)``0
ohashUpdate!`2`x`(HashState,_$)->HashState`cSetCategory``641186
ohash`1`n`(A)->SingleInteger`xFiniteGraph&(A,S)``0
ohash`1`n`(A)->SingleInteger`xPoset&(A,S)``0
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`x`(_$)->SingleInteger`cSetCategory``641375
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``641434
ohclf`2`n`(_$,_$)->_$`dFreeMonoid(S)``641679
ohconcat`1`n`(List(_$))->_$`dOutputForm``641857
ohconcat`2`n`(_$,_$)->_$`dOutputForm``641936
ohcrf`2`n`(_$,_$)->_$`dFreeMonoid(S)``642020
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``642199
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``642288
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``642376
oheadReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``642613
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``642815
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`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``642982
oheadReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``643113
oheadReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``643240
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`643344
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``643589
ohead`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``643705
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``643922
oheap`1`x`(List(S))->_$`dHeap(S)``644045
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``644136
oheight`1`n`(_$)->NonNegativeInteger`dKernel(S)``644243
oheight`1`x`(_$)->NonNegativeInteger`cExpressionSpace``644306
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``644600
ohensel_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``644921
ohermiteH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``644955
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``645012
ohermiteH`2`x`(_$,_$)->_$`cSpecialFunctionCategory``645177
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``645234
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``645505
ohessian`2`n`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``645586
ohexDigit?`1`x`(_$)->Boolean`dCharacter``645774
ohexDigit`0`x`()->_$`dCharacterClass``645908
ohex`1`x`(Fraction(Integer))->_$`dHexadecimalExpansion``646030
ohigh`1`x`(_$)->S`cSegmentCategory(S)``646106
ohilbert`1`n`(List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``646198
ohitherPlane`2`x`(_$,Float)->Void`dThreeDimensionalViewport``646292
ohomo_fact`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``0
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``646474
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``646564
ohomogeneous`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``646674
ohomogeneous`1`x`(Union(PositiveInteger,Boolean))->_$`dGuessOption``646805
ohomology0`0`n`()->_$`dHomology``647164
ohomologyGroup`2`n`(Matrix(Integer),Matrix(Integer))->_$`dHomology``647225
ohomology`1`n`(_$)->List(Homology)`dChainComplex``647399
ohomology`1`n`(_$)->List(Homology)`dDeltaComplex(VS)``647447
ohomology`1`n`(_$)->List(Homology)`dFiniteCubicalComplex(VS)``647495
ohomology`1`n`(_$)->List(Homology)`dFiniteSimplicialComplex(VS)``647543
ohomology`3`n`(List(List(Integer)),List(Integer),List(List(Integer)))->_$`dHomology``647707
ohomologyc2`0`n`()->_$`dHomology``647735
ohomologyz`0`n`()->_$`dHomology``647800
ohomologyzc2`0`n`()->_$`dHomology``647864
ohomologyzz`0`n`()->_$`dHomology``647931
ohorizConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`1`x`(List(_$))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``647997
ohorizConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``648134
ohorizJoin`2`n`(_$,_$)->_$`dSparseEchelonMatrix(C,D)``648365
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`n`(_$,C)->Record(Left:_$,Right:_$)`dSparseEchelonMatrix(C,D)``648533
ohorizSplit`2`x`(_$,List(NonNegativeInteger))->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``648732
ohorizSplit`2`x`(_$,PositiveInteger)->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``648941
ohp_solve`3`n`(List(Vector(SparseUnivariatePolynomial(Expression(Integer)))),List(NonNegativeInteger),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(Expression(Integer)))`pVectorHermitePadeSolver``649094
ohspace`1`n`(Integer)->_$`dOutputForm``649212
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``649275
ohue`1`n`(Point(R))->R`pPointPackage(R)``649376
ohue`1`x`(_$)->Color`dPalette``649699
ohue`1`x`(_$)->Integer`dColor``649777
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``649853
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``649989
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``650125
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``650216
ohypergeometricF`3`n`(List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`650307
ohypergeometricF`3`x`(List(_$),List(_$),_$)->_$`cSpecialFunctionCategory`has(_$,RetractableTo(Integer))`650395
oiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``650484
oiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``650547
oiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``650605
oiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``650668
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``650726
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``650943
oiLambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``651125
oid_map`1`n`(Var)->Automorphism(R)`pPartialDifferentialOperatorHelper(R,Var)``0
oid`1`x`(A)->A`pMappingPackage1(A)``651185
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``651217
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``651515
oideal`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``651598
oideal`1`x`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``651703
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``651781
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``651949
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``652049
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``652206
oidentityMatrix`1`n`(NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`652387
oidentitySquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``652478
oidentity`0`n`()->_$`dSTransform(PT)``652537
oidentity`0`x`()->_$`dDenavitHartenbergMatrix(R)``652621
oiexactQuo`2`n`(R,R)->R`xPolynomialSetCategory&(S,R,E,VarSet,P)``652675
oiexactQuo`2`n`(R,R)->R`xRecursivePolynomialCategory&(S,R,E,V)``652739
oiexactQuo`2`x`(R,R)->R`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`652803
oiexactQuo`2`x`(R,R)->R`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`652867
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``652931
oiiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``653092
oiiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``653156
oiiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``653215
oiiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``653279
oiiBesselI`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``653338
oiiBesselJ`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``653398
oiiBesselK`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``653458
oiiBesselY`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``653518
oiiBeta`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``653578
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``653635
oiiHypergeometricF`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``653693
oiiPolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``653761
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``653826
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``653882
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``653938
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``653995
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``654051
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``654108
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``654164
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``654221
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``654277
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``654334
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``654390
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``654447
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``654503
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``654560
oiiconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``654618
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``654680
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``654735
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``654791
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``654846
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``654902
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``654957
oiidigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``655013
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``655073
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``655131
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``655188
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``655243
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``655300
oiim2`1`n`(R)->Expression(Integer)`pGuessPolynomialFunctions(R)``655355
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``655394
oiipolygamma`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``655451
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``655513
oiiretractVar`1`n`(Kernel(Expression(Integer)))->Polynomial(R)`pGuessPolynomialFunctions(R)``655569
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``655608
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``655663
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``655719
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``655774
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``655830
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``655886
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``655942
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``655997
oimagE`1`x`(_$)->R`cOctonionCategory(R)``656053
oimagI`1`x`(_$)->R`cOctonionCategory(R)``656135
oimagI`1`x`(_$)->R`cQuaternionCategory(R)``656217
oimagJ`1`x`(_$)->R`cOctonionCategory(R)``656301
oimagJ`1`x`(_$)->R`cQuaternionCategory(R)``656383
oimagK`1`x`(_$)->R`cOctonionCategory(R)``656467
oimagK`1`x`(_$)->R`cQuaternionCategory(R)``656549
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``656633
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``656732
oimag`1`x`(_$)->R`cComplexCategory(R)``656831
oimagi`1`x`(_$)->R`cOctonionCategory(R)``656889
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->_$`cComplexCategory(R)``656961
oimagj`1`x`(_$)->R`cOctonionCategory(R)``657019
oimagk`1`x`(_$)->R`cOctonionCategory(R)``657091
oimplies`2`n`(_$,_$)->_$`dILogic``657163
oimplies`2`x`(_$,_$)->_$`dBoolean``657412
oimplies`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oimplies`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cPoset(S)``0
oin?`2`x`(_$,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``657508
oinBounds?`3`n`(_$,_$,_$)->Boolean`cSPointCategory``657598
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
oinDegree`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``657744
oinGroundField?`1`x`(_$)->Boolean`cExtensionField(F)``657845
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``657952
oinR?`1`n`(_$)->Boolean`dPattern(R)``658351
oinRadical?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``658446
oincFail`2`n`(String,List(OutputForm))->Void`pUnittestCount``658557
oincFatal`1`n`(String)->Void`pUnittestCount``658677
oincLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``658782
oincPass`0`n`()->Void`pUnittestCount``658899
oincXfFail`0`n`()->Void`pUnittestCount``658977
oincXfFatal`1`n`(String)->Void`pUnittestCount``659068
oincXfLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``659119
oincXfPass`2`n`(String,List(OutputForm))->Void`pUnittestCount``659179
oinc`1`x`(_$)->_$`cIntegerNumberSystem``659332
oincidenceAlgebra`2`n`(Matrix(R),List(S))->_$`dIncidenceAlgebra(R,S)``659375
oincidenceAlgebra`2`n`(Matrix(R),OneDimensionalArray(S))->_$`dIncidenceAlgebra(R,S)``659487
oincidenceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
oincidenceMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``659599
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``659913
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``660098
oincr`1`x`(_$)->Integer`cSegmentCategory(S)``660283
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`660438
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``660568
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``660761
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``660949
oindentFortLevel`1`n`(Integer)->Void`pFortranCodeTools``661131
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`x`(Index,_$)->Boolean`cIndexedAggregate(Index,Entry)``661164
oindexName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``661246
oindexName`1`x`(Symbol)->_$`dGuessOption``661357
oindexToObject`2`n`(A,NonNegativeInteger)->S`xPoset&(A,S)``0
oindexToObject`2`n`(_$,NonNegativeInteger)->S`cPoset(S)``661496
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(PositiveInteger)->S`xDirectProductCategory&(S,dim,R)``0
oindex`1`n`(PositiveInteger)->S`xFramedModule&(S,R)``0
oindex`1`n`(PositiveInteger)->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oindex`1`n`(_$)->IS`dModuleMonomial(IS,E,ff)``661539
oindex`1`n`(_$)->PositiveInteger`cJetBundleCategory``661576
oindex`1`x`(PositiveInteger)->_$`cFinite``661645
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``661893
oindexes`1`n`(_$)->List(List(NonNegativeInteger))`dSceneIFS(PT)``661995
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``662063
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``662221
oindices`1`n`(A)->List(Integer)`xLazyStreamAggregate&(A,S)``0
oindices`1`n`(A)->List(Integer)`xLinearAggregate&(A,S)``0
oindices`1`n`(S)->List(Key)`xTableAggregate&(S,Key,Entry)``0
oindices`1`n`(_$)->OneDimensionalArray(S)`dIncidenceAlgebra(R,S)``662311
oindices`1`x`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``662382
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``662479
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``662579
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``662679
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``662775
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``662871
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``663105
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``663339
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``663607
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``663875
oinfRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinfRittWu?`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``664056
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``664154
oinfRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``664252
oinfRittWu?`2`x`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``664433
oinf`1`x`(_$)->R`cIntervalCategory(R)``664559
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``664613
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``664749
oinfinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``664886
oinfinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``664944
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``665018
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``665166
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``665279
oinfinity`0`x`()->_$`dOnePointCompletion(R)``665322
oinfix?`1`n`(_$)->Boolean`dOutputForm``665365
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``665475
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``665619
oinfsum`1`n`(Stream(_$))->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``665707
oini_rdata`2`n`(U32Vector,Integer)->List(Record(ind:NonNegativeInteger,poly:U32Vector))`pModularFactorization``0
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``665849
oinit`0`n`()->A`xQuotientFieldCategory&(A,S)``0
oinit`0`n`()->S`xFiniteFieldCategory&(S)``0
oinit`0`n`()->S`xIntegerNumberSystem&(S)``0
oinit`0`n`()->S`xUnivariatePolynomialCategory&(S,R)``0
oinit`0`x`()->_$`cStepThrough``665904
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``665965
oinitial`0`n`()->A`xPoset&(A,S)``0
oinitial`0`n`()->_$`cFiniteGraph(S)``666158
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``666225
oinitializeGroupForWordProblem`1`x`(_$)->Void`dPermutationGroup(S)``666377
oinitializeGroupForWordProblem`3`x`(_$,Integer,Integer)->Void`dPermutationGroup(S)``666817
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``667284
oinitiallyReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``667532
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``667744
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`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``667987
oinitiallyReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``668189
oinitiallyReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``668326
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``668494
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)``668596
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``668922
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``669035
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``669161
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)``669515
oinput`1`x`(_$)->Union((List(InputForm))->InputForm,"failed")`dBasicOperator``669599
oinput`2`x`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``669713
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``669935
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``670001
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,_$)->_$`cBagAggregate(S)``670098
oinsert!`2`x`(S,_$)->_$`dBinarySearchTree(S)``670169
oinsert!`2`x`(S,_$)->_$`dBinaryTournament(S)``670269
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`x`(S,_$,Integer)->_$`cExtensibleLinearAggregate(S)``670368
oinsert!`3`x`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``670470
oinsert!`3`x`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``670581
oinsertBottom!`2`x`(S,_$)->S`cDequeueAggregate(S)``670693
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``670823
oinsertRoot!`2`x`(S,_$)->_$`dBinarySearchTree(S)``670989
oinsertRowsColumns`3`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger))->_$`dFreeDivisionAlgebra(VAR,F)``671092
oinsertRowsColumns`3`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger))->_$`dLinearMultivariateMatrixPencil(R)``671328
oinsertTop!`2`x`(S,_$)->S`cDequeueAggregate(S)``671649
oinsert`2`n`(List(D),_$)->_$`dJetDifferentialEquation(JB,D)``671885
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`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`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`x`(S,_$,Integer)->_$`cLinearAggregate(S)``671988
oinsert`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)``672179
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`672389
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``672432
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(_$)->S`cBagAggregate(S)``672483
ointBasis`1`n`(List(List(Vector(R))))->_$`dVectorSpaceBasis(R)``672548
ointBasis`1`n`(List(_$))->_$`dVectorSpaceBasis(R)``672664
ointBasis`2`n`(List(Vector(R)),List(Vector(R)))->_$`dVectorSpaceBasis(R)``672779
ointBasis`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``672925
ointChoose`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(upol:SparseUnivariatePolynomial(R),Lval:List(R),Lfact:List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),ctpol:R)`pMultivariateSquareFree(E,OV,R,P)``673017
ointPatternMatch`4`n`(F,Symbol,(F,Symbol)->IntegrationResult(F),(F,Symbol)->Union(Record(special:F,integrand:F),"failed"))->IntegrationResult(F)`pIntegrationTools(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,GcdDomain),has(R,PatternMatchable(Integer)),has(F,ElementaryFunctionCategory),has(F,LiouvillianFunctionCategory),has(F,RetractableTo(Symbol)))`673057
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``673310
oint`1`n`(_$)->_$`dOutputForm``673422
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``673508
oint`2`n`(_$,_$)->_$`dOutputForm``673593
oint`3`n`(_$,_$,_$)->_$`dOutputForm``673709
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``673866
ointeg_df`2`n`(UPS,UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``673907
ointeg`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``673962
ointeger?`1`n`(OutputForm)->Boolean`pOutputFormTools``674014
ointeger?`1`n`(_$)->Boolean`dFortranScalarType``674105
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``674197
ointeger?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``674291
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``674374
ointegerBound`1`n`(UP)->Integer`pPolynomialRationalRoots(F,UP)``674520
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``674666
ointegerPart`1`n`(_$)->NonNegativeInteger`dSmallOrdinal``674770
ointeger`1`n`(OutputForm)->Integer`pOutputFormTools``674878
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``674994
ointeger`1`x`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt)``675088
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``675212
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``675279
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`x`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``675354
ointegral?`2`x`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``675446
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``675541
ointegralBasisAtInfinity`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``675629
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``675715
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``676583
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``677451
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``678311
ointegralBasis`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``679179
ointegralCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``679251
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``679462
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``679807
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``679923
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``680152
ointegralRepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``680377
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``680549
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``680645
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``680777
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`680866
ointegral`2`x`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``680962
ointegral`2`x`(_$,Symbol)->_$`cPrimitiveFunctionCategory``681103
ointegrateIfCan`2`n`(S,PositiveInteger)->Union(S,"failed")`xJetBundleCategory&(S)``0
ointegrateIfCan`2`n`(_$,PositiveInteger)->Union(_$,"failed")`cJetBundleCategory``681185
ointegrate_sols`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->Record(ltilde:LinearOrdinaryDifferentialOperator1(Fraction(UP)),r:Union(LinearOrdinaryDifferentialOperator1(Fraction(UP)),"failed"))`pRationalLODE(F,UP)``681310
ointegrate_sols`2`n`(L,(L,F)->Record(particular:Union(F,"failed"),basis:List(F)))->Record(ltilde:L,r:Union(L,"failed"))`pIntegrateSolutions(F,L)``681392
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``681850
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`681919
ointegrate`1`x`(_$)->_$`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`682102
ointegrate`1`x`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`682291
ointegrate`1`x`(_$)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`682408
ointegrate`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`682605
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`682794
ointegrate`2`n`(Coef,Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``683058
ointegrate`2`n`(S,PositiveInteger)->S`xJetBundleCategory&(S)``0
ointegrate`2`n`(_$,PositiveInteger)->_$`cJetBundleCategory``683163
ointegrate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`0
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`683294
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`683483
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`683672
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`683866
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`684055
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`684244
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``684438
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``684602
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``684717
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``684881
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`685045
ointegrate`2`x`(UPS,Distribution(R))->S`pDistributionPolynomialPackage(R,S,UPS)``685160
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`685291
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`685424
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`685557
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`685690
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`685823
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`685956
ointegrate`2`x`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`686089
ointegrate`2`x`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`686253
ointegrate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`686483
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`686672
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``686828
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``687239
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``687650
ointegrate`3`x`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`688061
ointensity`2`x`(_$,Float)->Void`dThreeDimensionalViewport``688217
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``688415
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``688713
ointernalAugment`2`x`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``688754
ointernalAugment`2`x`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``688919
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``689031
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``689161
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)``689291
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``689397
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``689503
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``689586
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``689712
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``689797
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``689916
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``690050
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``690289
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``690528
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``690789
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``691045
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``691163
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``691281
ointerpolate`3`n`(List(D),List(D),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``691331
ointerpolate`3`n`(List(Fraction(D)),List(Fraction(D)),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``691728
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``691907
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpretString`1`n`(String)->Any`pTemplateUtilities``691962
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``692073
ointerpret`1`n`(_$)->Any`dInputForm``692197
ointersect`1`x`(List(_$))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``692260
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`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``692347
ointersect`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``692454
ointersect`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``692632
ointersect`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``692715
ointersect`2`x`(_$,_$)->_$`cSetAggregate(S)``692796
ointersect`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``693067
ointersection`1`n`(List(_$))->_$`dSBoundary(PT)``693162
ointerval`1`x`(Fraction(Integer))->_$`cIntervalCategory(R)``693328
ointerval`1`x`(R)->_$`cIntervalCategory(R)``693394
ointerval`2`n`(NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``693460
ointerval`2`x`(R,R)->_$`cIntervalCategory(R)``693548
ointoMatrix`2`x`(List(P),List(OV))->Record(mat:Matrix(Fraction(P)),vec:Vector(Fraction(P)))`pLinearSystemPolynomialPackage(R,E,OV,P)``693691
oinv`1`n`(S)->S`xComplexCategory&(S,R)``0
oinv`1`n`(S)->S`xField&(S)``0
oinv`1`n`(S)->S`xOctonionCategory&(S,R)``0
oinv`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oinv`1`n`(Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``693813
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``693885
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``693920
oinv`1`x`(_$)->_$`cDivisionRing``693955
oinv`1`x`(_$)->_$`cGroup``694048
oinv`1`x`(_$)->_$`cOctonionCategory(R)`has(R,Field)`694102
oinv`1`x`(_$)->_$`dEquation(S)`has(S,Field)`694169
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``694238
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``694954
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``695190
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``695419
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``695629
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``695697
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``695859
oinverse`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``696079
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`696133
oinverse`1`x`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`696286
oinverse`1`x`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`696448
oinvertALS`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``696580
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`696707
oinvertIfCan`1`x`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,IntegralDomain)`696782
oinvertMIN`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``696948
oinvertSTD`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``697128
oinvertible?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``697284
oinvertible?`2`x`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``697406
oinvertibleElseSplit?`2`x`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``697627
oinvertibleSet`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``697824
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(_$,_$)->_$`cIntegerNumberSystem``698004
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``698097
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``698214
oiomode`1`x`(_$)->String`cFileCategory(Name,S)``698346
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``698492
oiprint`1`n`(String)->Void`pInternalPrintPackage``698547
oirootDep`1`x`(Kernel(F))->Union(vec:Vector(Fraction(Integer)),func:F,fail:Boolean)`pElementaryFunctionStructurePackage(R,F)``698626
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`698707
oirreducible?`1`x`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``698770
oirreducibleFactor`2`x`(R,NonNegativeInteger)->_$`dFactored(R)``698854
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`699017
oirreducibleRepresentation`1`x`(List(Integer))->List(Matrix(Integer))`pIrrRepSymNatPackage``699289
oirreducibleRepresentation`2`x`(List(Integer),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``699644
oirreducibleRepresentation`2`x`(List(Integer),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``699870
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(_$,BasicOperator)->Boolean`dKernel(S)``700148
ois?`2`n`(_$,Symbol)->Boolean`dKernel(S)``700216
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``700297
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``700424
ois?`2`x`(_$,BasicOperator)->Boolean`cExpressionSpace``700516
ois?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``700600
ois?`2`x`(_$,Symbol)->Boolean`dBasicOperator``700701
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`700772
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`700908
oisAcyclic?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisAcyclic?`1`n`(_$)->Boolean`cFiniteGraph(S)``701408
oisAntiChain?`1`n`(_$)->Boolean`cPoset(S)``701478
oisAntisymmetric?`1`n`(A)->Boolean`xPoset&(A,S)``0
oisAntisymmetric?`1`n`(_$)->Boolean`cPoset(S)``701582
oisBasis?`1`n`(List(Vector(R)))->Boolean`dVectorSpaceBasis(R)``701723
oisBoundNode?`1`n`(_$)->Boolean`dLambda(UT)``701801
oisBox?`1`n`(_$)->Boolean`dSBoundary(PT)``701872
oisChain?`1`n`(_$)->Boolean`cPoset(S)``701951
oisCompound?`1`n`(_$)->Boolean`dLambda(UT)``702053
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisDirectSuccessor?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``702143
oisDirected?`0`n`()->Boolean`cFiniteGraph(S)``702308
oisDirected?`0`n`()->Boolean`xFiniteGraph&(A,S)``702428
oisDirected?`0`n`()->Boolean`xPoset&(A,S)``0
oisEllipse?`1`n`(_$)->Boolean`dSBoundary(PT)``702548
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``702629
oisExpt`1`n`(S)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`1`n`(S)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisExpt`1`n`(_$)->Union(Record(val:_$,exponent:NonNegativeInteger),"failed")`dPattern(R)``702736
oisExpt`1`x`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`702848
oisExpt`1`x`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`702933
oisExpt`2`n`(S,BasicOperator)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`n`(S,Symbol)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`x`(_$,BasicOperator)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`703046
oisExpt`2`x`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`703158
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisFixPoint?`2`n`(_$,NonNegativeInteger)->Boolean`cFiniteGraph(S)``703268
oisFreeNode?`1`n`(_$)->Boolean`dLambda(UT)``703347
oisFunctional?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisFunctional?`1`n`(_$)->Boolean`cFiniteGraph(S)``703420
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisGreaterThan?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``703583
oisI?`1`n`(_$)->Boolean`dSKICombinators(UT)``703785
oisK?`1`n`(_$)->Boolean`dSKICombinators(UT)``703851
oisLambda?`1`n`(_$)->Boolean`dLambda(UT)``703916
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``703989
oisMult`1`n`(S)->Union(Record(coef:Integer,var:Kernel(S)),"failed")`xFunctionSpace&(S,R)``0
oisMult`1`x`(_$)->Union(Record(coef:Integer,var:Kernel(_$)),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`704101
oisNodeBranch?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``704188
oisNodeLeaf?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``704260
oisNull?`1`n`(_$)->Boolean`dSBoundary(PT)``704352
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``704447
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``704571
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``704693
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``704825
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`704968
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``705069
oisPoint?`1`n`(_$)->Boolean`cSPointCategory``705225
oisPointLeaf?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``705322
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``705443
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``705551
oisPower`1`x`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`705647
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``705733
oisS?`1`n`(_$)->Boolean`dSKICombinators(UT)``705832
oisSubsetOf?`2`n`(_$,_$)->Boolean`dOrientedFacet``705897
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``706023
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``706145
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`706275
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`706375
oisVector?`1`n`(_$)->Boolean`cSPointCategory``706674
ois_symbol?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``706769
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``706883
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``707066
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``707143
ojacobi2poly`2`n`(Stream(R),Stream(R))->Stream(SparseUnivariatePolynomial(R))`pMomentPackage(R)``707295
ojacobiCn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``707442
ojacobiCn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``707612
ojacobiCn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``707729
ojacobiCn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``707793
ojacobiCn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``707857
ojacobiDn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``708028
ojacobiDn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``708200
ojacobiDn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``708317
ojacobiDn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``708381
ojacobiDn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``708445
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``708618
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``708828
ojacobiMatrix`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`1`n`(List(_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``709038
ojacobiMatrix`1`n`(_$)->List(SparseEchelonMatrix(JB,D))`dJetDifferentialEquation(JB,D)``709138
ojacobiMatrix`2`n`(List(S),List(List(JB)))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`2`n`(List(_$),List(List(JB)))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``709241
ojacobiP`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``709470
ojacobiP`4`x`(_$,_$,_$,_$)->_$`cSpecialFunctionCategory``709535
ojacobiParameters`1`n`(_$)->Record(an:Stream(Fraction(R)),bn:Stream(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`709600
ojacobiParameters`1`n`(_$)->Record(an:Stream(R),bn:Stream(R))`cDistributionCategory(R)`has(R,Field)`709713
ojacobiPathArray`2`n`(Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``709826
ojacobiSn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``710004
ojacobiSn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``710147
ojacobiSn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``710264
ojacobiSn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``710328
ojacobiSn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``710392
ojacobiTheta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``710536
ojacobiTheta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``710619
ojacobiZeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``710702
ojacobiZeta`2`x`(Float,Float)->Float`pFloatEllipticFunctions``710904
ojacobiZeta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``710965
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``711167
ojacobian`2`n`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``711451
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``711650
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``711738
ojetVariables`1`n`(_$)->List(JB)`cJetBundleFunctionCategory(JB)``711975
ojoinIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``712084
ojoinIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``712157
ojoin`1`n`(List(_$))->_$`dLatticeJoinOfMeets``712386
ojoin`1`n`(List(_$))->_$`dLatticeMeetOfJoins``712424
ojoin`2`n`(_$,_$)->_$`dJetDifferentialEquation(JB,D)``712462
ojoin`2`n`(_$,_$)->_$`dOrientedFacet``712563
ojoin`2`n`(_$,_$)->_$`dSparseEchelonMatrix(C,D)``712709
ojoin`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cDcpo(S)``712791
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``712948
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``713239
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``713530
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``713890
okaratsubaDivide`2`x`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,Ring)`714250
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``714350
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``714519
okelvinBei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``714878
okelvinBei`2`x`(_$,_$)->_$`cSpecialFunctionCategory``715055
okelvinBer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``715233
okelvinBer`2`x`(_$,_$)->_$`cSpecialFunctionCategory``715410
okelvinKei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``715588
okelvinKei`2`x`(_$,_$)->_$`cSpecialFunctionCategory``715782
okelvinKer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``715977
okelvinKer`2`x`(_$,_$)->_$`cSpecialFunctionCategory``716171
okernel`1`n`(Symbol)->_$`dKernel(S)``716366
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
okernel`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``716427
okernel`2`x`(BasicOperator,_$)->_$`cExpressionSpace``716534
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`dKernel(S)``716618
okernels`1`n`(List(S))->List(Kernel(S))`xExpressionSpace&(S)``0
okernels`1`n`(List(S))->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`x`(List(_$))->List(Kernel(_$))`cExpressionSpace``716819
okernels`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``717017
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``717183
okey`1`n`(_$)->Integer`dGraphImage``717256
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``717387
okey`1`x`(_$)->Integer`dThreeDimensionalViewport``717545
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``717707
okgraph`2`n`(List(S),String)->A`xPoset&(A,S)``0
okgraph`2`n`(List(S),String)->_$`cFiniteGraph(S)``717773
okleinBottle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``718092
okleinBottle`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``718132
okleinBottle`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``718200
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``718274
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``718361
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``718408
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``718732
okprod`1`x`(List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``719176
okprod`1`x`(List(Float))->Float`pFloatEllipticFunctions``719197
okroneckerDelta`0`x`()->_$`dCartesianTensor(minix,dim,R)``719218
okroneckerProduct`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`719413
okroneckerProduct`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`719618
okroneckerSum`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``719785
okroneckerSum`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``719919
okronecker_prod1`7`n`(S,Integer,List(List(NonNegativeInteger)),List(S),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`xMatrixCategory&(S,R,Row,Col)``0
okronecker_prod1`7`x`(_$,Integer,List(List(NonNegativeInteger)),List(_$),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`cMatrixCategory(R,Row,Col)``720015
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``720055
okummerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``720177
okummerM`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``720244
okummerU`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``720314
okummerU`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``720381
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``720451
olabel`2`n`(_$,_$)->_$`dOutputForm``720560
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``720636
olagrange`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``720766
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``720920
olaguerreL`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``721094
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``721158
olaguerreL`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``721309
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``721373
olambda`1`n`(NonNegativeInteger)->_$`dLambda(UT)``721653
olambda`1`n`(UT)->_$`dLambda(UT)``721727
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``721776
olambda`2`n`(_$,UT)->_$`dLambda(UT)``721959
olambda`2`n`(_$,_$)->_$`dLambda(UT)``722035
olambertW0`1`n`(UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``722086
olambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``722182
olambertW`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``722253
olambertW`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``722313
olambertW`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``722373
olambertW`1`x`(Float)->Float`pFloatSpecialFunctions``722433
olambertW`1`x`(_$)->_$`cSpecialFunctionCategory``722493
olambert_inverse_series`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``722604
olambert_inverse_series`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``722624
olambert_inverse_series`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``722644
olambert_inverse_series`2`x`(Float,Float)->Float`pFloatSpecialFunctions``722664
olambert_via_newton1`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``722684
olambert_via_newton1`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``722704
olambert_via_newton1`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``722724
olambert_via_newton1`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``722744
olambert_via_newton2`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``722764
olambert_via_newton2`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``722784
olambert_via_newton2`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``722804
olambert_via_newton2`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``722824
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``722844
olambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``723153
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)``723520
olanden1`2`x`(Complex(Float),List(Complex(Float)))->List(Complex(Float))`pFloatEllipticFunctions``723880
olanden1`2`x`(Float,List(Float))->List(Float)`pFloatEllipticFunctions``723901
olanden2`3`x`(Complex(Float),List(Complex(Float)),Float)->List(Complex(Float))`pFloatEllipticFunctions``723922
olanden2`3`x`(Float,List(Float),Float)->List(Float)`pFloatEllipticFunctions``723943
olanden`2`x`(Complex(Float),Float)->List(Complex(Float))`pFloatEllipticFunctions``723964
olanden`2`x`(Float,Float)->List(Float)`pFloatEllipticFunctions``723985
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``724006
olaplacianMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
olaplacianMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``724278
olaplacian`2`n`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``724839
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`724984
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``725154
olastSubResultantElseSplit`3`x`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``725316
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``725675
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`725831
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``726035
olastSubResultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`726139
olastSubResultant`3`x`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``726376
olast`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
olast`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
olast`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
olast`1`x`(_$)->S`cDoublyLinkedAggregate(S)``727078
olast`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``727193
olast`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``727305
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)``727456
olatex`1`n`(A)->String`xFiniteGraph&(A,S)``0
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(_$)->String`cSetCategory``727596
olatticeJoinOfMeets`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->_$`dLatticeJoinOfMeets``727680
olatticeMeetOfJoins`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->_$`dLatticeMeetOfJoins``727724
olaurentIfCan`1`x`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``727768
olaurentRep`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``727923
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``728058
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``728241
olaurent`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``728311
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)``728444
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``728559
olaurent`2`x`(Integer,Stream(Coef))->_$`cUnivariateLaurentSeriesCategory(Coef)``728804
olaurent`2`x`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``728991
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``729051
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``729250
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``729424
olazy?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``729617
olazyEvaluate`1`x`(_$)->_$`cLazyStreamAggregate(S)``729785
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`730062
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`730142
olazyIntegrate`2`n`(Coef,()->Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``730239
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`730348
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``730786
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``730926
olazyPremWithDefault`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``731076
olazyPremWithDefault`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`3`x`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``731220
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``731379
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``731604
olazyPseudoDivide`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`2`n`(_$,_$)->Record(coef:R,gap:NonNegativeInteger,quotient:_$,remainder:_$)`dNewSparseUnivariatePolynomial(R)``731888
olazyPseudoDivide`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``732118
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:_$)`cRecursivePolynomialCategory(R,E,V)``732327
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``732561
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``732688
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``732928
olazyResidueClass`2`x`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``733217
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`733456
olc`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``733586
olcmCoef`2`n`(S,S)->Record(llcm_res:S,coeff1:S,coeff2:S)`xGcdDomain&(S)``0
olcmCoef`2`n`(_$,_$)->Record(llcm_res:_$,coeff1:_$,coeff2:_$)`cLeftOreRing``733624
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(_$))->_$`cGcdDomain``733837
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(_$,_$)->_$`cGcdDomain``733930
olcm`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``734016
olcx0`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->Record(lcx0lc:SparseMultivariatePolynomial(Integer,Symbol),lcx0m:SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``734148
olcz`2`n`(SparseMultivariatePolynomial(Integer,Symbol),Symbol)->Record(lczlc:SparseMultivariatePolynomial(Integer,Symbol),k:Integer)`pPrimGCD``734416
oldegree`2`n`(PT,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``734529
oldivide`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Record(quotient:XDistributedPolynomial(vl,F),remainder:XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``0
ole`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
ole`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cPreorder(S)``734810
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``735020
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``735194
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``735297
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``735395
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``735753
oleadingCoefficient`1`n`(_$)->R`cSolvableSkewPolynomialCategory(R,Expon)``735854
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``735954
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``736060
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``736110
oleadingCoefficient`1`x`(_$)->A`cIndexedDirectProductCategory(A,S)`has(S,Comparable)`736157
oleadingCoefficient`1`x`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``736340
oleadingCoefficient`1`x`(_$)->R`cAbelianMonoidRing(R,E)``736437
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``736530
oleadingDer`1`n`(S)->JB`xJetBundleFunctionCategory&(S,JB)``0
oleadingDer`1`n`(_$)->JB`cJetBundleFunctionCategory(JB)``736683
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``736818
oleadingIdeal`1`x`(_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``736865
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``736978
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``737022
oleadingMonomial`1`n`(_$)->_$`cSolvableSkewPolynomialCategory(R,Expon)``737069
oleadingMonomial`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``737160
oleadingMonomial`1`x`(_$)->_$`cIndexedDirectProductCategory(A,S)`has(S,Comparable)`737251
oleadingMonomial`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``737386
oleadingSupport`1`x`(_$)->S`cIndexedDirectProductCategory(A,S)`has(S,Comparable)`737469
oleadingTerm`1`x`(_$)->Record(k:S,c:A)`cIndexedDirectProductCategory(A,S)`has(S,Comparable)`737638
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(_$)->Boolean`dSubSpace(n,R)``737791
oleaf?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``737828
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``737889
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``738144
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``738418
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xRecursiveAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xUnaryRecursiveAggregate&(A,S)``0
oleaves`1`x`(_$)->List(S)`cRecursiveAggregate(S)``738537
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``738611
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``738837
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``739063
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``739221
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``739591
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``739961
oleftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`740274
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`740482
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`740737
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`740864
oleftFactorIfCan`2`x`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``740985
oleftFactor`2`n`(_$,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``741225
oleftFamily`1`n`(_$)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``741378
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`741439
oleftIdentity`1`n`(_$)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``741678
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`741742
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`741944
oleftMinimization`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``742178
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``742356
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``742484
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`742582
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`742639
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``742696
oleftPower`2`x`(_$,PositiveInteger)->_$`cMagma``742890
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`743084
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`743278
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``743374
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`743613
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``743852
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
oleftRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`744018
oleftRecip`1`x`(_$)->Union(_$,"failed")`cMagmaWithUnit``744238
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``744427
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)``744599
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`744903
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``745098
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``745294
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``745578
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``745862
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``746076
oleftTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oleftTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``746169
oleftTrim`2`x`(_$,S)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`746349
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`746517
oleftUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``746642
oleftUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`746765
oleftZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`746889
oleft_ext_GCD`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Union(Record(g:XDistributedPolynomial(vl,F),c1:XDistributedPolynomial(vl,F),c2:XDistributedPolynomial(vl,F),cu:XDistributedPolynomial(vl,F),cv:XDistributedPolynomial(vl,F)),"failed")`pXPolynomialFactor(vl,F)``0
oleft`1`n`(_$)->_$`dFreeMagma(VarSet)``746946
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``747076
oleft`1`n`(_$)->_$`dOutputForm``747207
oleft`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``747274
oleft`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``747347
oleft`2`n`(_$,Integer)->_$`dOutputForm``747393
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`747481
olegendreP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``747650
olegendreP`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``747723
olegendreQ`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``747797
olegendreQ`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``747870
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``747944
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``748220
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``748576
olength`1`n`(_$)->NonNegativeInteger`dFreeMonoid(S)``748687
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``748743
olength`1`n`(_$)->PositiveInteger`dFreeMagma(VarSet)``748835
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``748902
olength`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`748969
olength`1`x`(_$)->_$`cIntegerNumberSystem``749080
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``749134
olerchPhi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``749168
olerchPhi`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``749230
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``749293
oless?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``749397
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``749476
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``749680
oleviCivitaSymbol`0`x`()->_$`dCartesianTensor(minix,dim,R)``749817
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``750051
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``750240
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``750627
olexico`2`n`(_$,_$)->Boolean`dFreeMagma(VarSet)``750694
olexico`2`n`(_$,_$)->Boolean`dFreeMonoid(S)`has(S,OrderedSet)`750997
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``751167
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``751337
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``751502
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``751575
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``751802
olhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``751857
olhs`1`x`(_$)->S`dEquation(S)``751927
oli2`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``752001
oli_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``752048
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``752115
oli`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``752175
oli`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oli`1`x`(Float)->Float`pFloatLiouvilianFunctions``752235
oli`1`x`(_$)->_$`cLiouvillianFunctionCategory``752295
olibrary`1`x`(FileName)->_$`dLibrary``752424
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``752478
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``752685
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``752892
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``753222
olie`2`n`(JetVectorField(JB,D),_$)->_$`dJetDifferential(JB,D)``753552
olie`2`n`(_$,_$)->_$`dJetVectorField(JB,D)``753648
olift1`9`n`(FreeMonoid(vl),XDistributedPolynomial(vl,Polynomial(F)),Integer,FreeMonoid(vl),XDistributedPolynomial(vl,Polynomial(F)),Integer,F,XDistributedPolynomial(vl,Polynomial(F)),Boolean)->Record(l_fac:XDistributedPolynomial(vl,Polynomial(F)),r_fac:XDistributedPolynomial(vl,Polynomial(F)),residual:XDistributedPolynomial(vl,Polynomial(F)),nsym:Union(Symbol,"none"))`pXPolynomialFactor(vl,F)``753786
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``753863
olift`1`n`(_$)->Rep`dModMonic(R,Rep)``753955
olift`1`x`(_$)->UP`cMonogenicAlgebra(R,UP)``753991
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``754093
olift`7`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),SparseUnivariatePolynomial(R),P,List(OV),List(NonNegativeInteger),List(R))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateSquareFree(E,OV,R,P)``754134
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),(List(SparseUnivariatePolynomial(R)))->(SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed"))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``754169
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)`754707
olight`1`x`(Color)->_$`dPalette``755020
olighting`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``755112
olimitPart`1`n`(_$)->_$`dSmallOrdinal``755382
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``755526
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``755601
olimit`2`n`(_$,NonNegativeInteger)->Loop`dFunctionGraph(S)``755678
olimit`2`x`(FE,Equation(OrderedCompletion(FE)))->Union(OrderedCompletion(FE),Record(leftHandLimit:Union(OrderedCompletion(FE),"failed"),rightHandLimit:Union(OrderedCompletion(FE),"failed")),"failed")`pPowerSeriesLimitPackage(R,FE)``755819
olimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``755906
olimit`2`x`(Fraction(Polynomial(R)),Equation(OrderedCompletion(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``756033
olimit`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Loop`dMultifunctionGraph(S)``756160
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``756301
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``756504
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``756775
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``756813
olin_comb!`3`n`(Vector(F),Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``756960
olin_comb`2`n`(Vector(F),List(F))->F`pLinearCombinationUtilities(F,UP)``757223
olin_comb`2`n`(Vector(F),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``757438
olin_comb`2`n`(Vector(F),List(LaurentPolynomial(F,UP)))->LaurentPolynomial(F,UP)`pLinearCombinationUtilities(F,UP)``757653
olin_comb`2`n`(Vector(F),List(UP))->UP`pLinearCombinationUtilities(F,UP)``757868
olin_comb`2`n`(Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``758083
olin_comb`2`n`(Vector(Fraction(Integer)),List(F))->F`pLinearCombinationUtilities(F,UP)``758307
olin_comb`2`n`(Vector(Fraction(Integer)),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``758522
olin_sol`2`n`(List(F),List(Symbol))->Union(List(F),"failed")`pExpressionLinearSolve(R,F)``758737
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``758890
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``758994
olineIntersect`2`n`(_$,PT)->PT`dSBoundary(PT)``759120
oline`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``759381
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``759435
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`759562
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`760247
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)`760401
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`760641
olinearDependenceOverConstants`2`n`(Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``760797
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``761055
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``761302
olinearExtend`2`n`((List(B))->M2,TensorPower(n,R,B,M1))->M2`pTensorPowerFunctions2(n,R,B,M1,M2)``761538
olinearExtend`2`x`((S)->M2,M1)->M2`pFreeModuleFunctions2(R,S,M1,M2)``761691
olinearExtend`2`x`((S)->R,_$)->R`cFreeModuleCategory(R,S)`has(R,CommutativeRing)`761832
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``761960
olinearSearch`2`n`(S,(S)->Boolean)->Union(S,"failed")`pSortedCache(S)``762128
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``762367
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``762405
olinearization`1`n`(_$)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``762448
olinearization`1`n`(_$)->Matrix(_$)`dFreeDivisionAlgebra(VAR,F)``762526
olinearize`1`n`(List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta))))->List(JetBundleLinearFunction(JetBundleSymAna(JB1,xi,eta),JetBundleXExpression(JetBundleSymAna(JB1,xi,eta))))`pSymmetryAnalysis(JB1,xi,eta)``762682
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``762817
olinearlyDependentOverConstants?`2`n`(Vector(F),List((F)->F))->Boolean`pConstantLinearDependence(R,F)``762979
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``763161
olink`2`n`(NonNegativeInteger,NonNegativeInteger)->_$`dDeltaComplex(VS)``763332
olink`2`n`(_$,OrientedFacet)->_$`dFiniteSimplicialComplex(VS)``763373
olink`2`n`(_$,_$)->List(PT)`dSBoundary(PT)``763502
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``763746
olist?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``763821
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``763902
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``764018
olistConjugateBases`3`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),NonNegativeInteger,NonNegativeInteger)->List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))`pChineseRemainderToolsForIntegralBases(K,R,UP)``764134
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``764386
olistOfLists`1`n`(S)->List(List(R))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``764503
olistOfLists`1`x`(_$)->List(List(R))`cTwoDimensionalArrayCategory(R,Row,Col)``764592
olistOfLists`1`x`(_$)->List(List(S))`dTableau(S)``764680
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``764756
olistOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``764838
olistOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``764937
olistOfTerms`1`x`(_$)->List(Record(k:S,c:A))`cIndexedDirectProductCategory(A,S)``765015
olistRepresentation`1`x`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``765241
olistYoungTableaus`1`x`(List(Integer))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``765609
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->_$`cListAggregate(S)``766088
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``766152
olllip`1`x`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``766221
olllp`1`x`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``766491
ollprop`1`x`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``766749
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``767005
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``767206
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``767407
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``768314
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``769227
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``770132
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``771045
olog10`0`x`()->_$`dFloat``771105
olog10`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``771173
olog10`1`x`(_$)->_$`dDoubleFloat``771251
olog10`1`x`(_$)->_$`dFloat``771324
olog1`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``771395
olog2`0`x`()->_$`dFloat``771601
olog2`1`x`(_$)->_$`dDoubleFloat``771687
olog2`1`x`(_$)->_$`dFloat``771758
ologDependenceQ`2`n`(List(Fraction(Integer)),Fraction(Integer))->Union(Vector(Fraction(Integer)),"failed")`pMultiplicativeDependence``771827
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``771988
ologGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``772112
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``772177
ologGamma`1`x`(Float)->Float`pFloatSpecialFunctions``772301
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``772366
olog`1`n`(F)->F`pElementaryFunction(R,F)``772453
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``772517
olog`1`n`(S)->S`xComplexCategory&(S,R)``0
olog`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``772673
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``772731
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``772789
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``772860
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``772933
olog`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``772989
olog`1`x`(_$)->_$`cElementaryFunctionCategory``773056
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``773299
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`773388
ologextint`3`n`(Symbol,List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer))))`pParametricIntegration(R,F)``773482
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)``773681
ologicF`0`n`()->_$`dILogic``773929
ologicF`0`n`()->_$`dLatticeJoinOfMeets``773988
ologicF`0`n`()->_$`dLatticeMeetOfJoins``774055
ologicT`0`n`()->_$`dILogic``774122
ologicT`0`n`()->_$`dLatticeJoinOfMeets``774164
ologicT`0`n`()->_$`dLatticeMeetOfJoins``774207
ological?`1`n`(_$)->Boolean`dFortranScalarType``774250
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``774342
olommelS1`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``774422
olommelS1`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``774492
olommelS2`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``774563
olommelS2`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``774633
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)``774704
olookup`1`x`(_$)->PositiveInteger`cFinite``774777
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``774865
oloop`1`n`(List(NonNegativeInteger))->_$`dLoop``775351
oloopsArrows`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsArrows`1`n`(_$)->List(Loop)`cFiniteGraph(S)``775428
oloopsAtNode`2`n`(A,NonNegativeInteger)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsAtNode`2`n`(_$,NonNegativeInteger)->List(Loop)`cFiniteGraph(S)``775787
oloopsNodes`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsNodes`1`n`(_$)->List(Loop)`cFiniteGraph(S)``775895
olooseEquals`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
olooseEquals`2`n`(A,A)->Boolean`xPoset&(A,S)``0
olooseEquals`2`n`(_$,_$)->Boolean`cFiniteGraph(S)``776055
olow`1`x`(_$)->S`cSegmentCategory(S)``776451
olowerCase!`1`x`(_$)->_$`cStringAggregate``776540
olowerCase?`1`x`(_$)->Boolean`dCharacter``776644
olowerCase`0`x`()->_$`dCharacterClass``776755
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(_$)->_$`cStringAggregate``776879
olowerCase`1`x`(_$)->_$`dCharacter``776960
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``777131
olowerSet`1`n`(_$)->_$`cPoset(S)``777283
olp`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``777425
olprop`1`x`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``777721
olquo`2`n`(_$,S)->Union(_$,"failed")`dFreeMonoid(S)``777923
olquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``778007
olquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``778201
olquo`2`x`(_$,FreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``778285
olquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``778378
olquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``778462
olub`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
olub`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``778559
olyndon?`1`n`(FreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``778770
olyndonIfCan`1`n`(FreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``778830
olyndon`1`n`(FreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``778896
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`cJetBundleCategory``778999
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`xJetBundleCategory&(S)``779070
om_inverse`4`n`(Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Integer)->Union(Polynomial(Integer),"failed")`dModularAlgebraicGcdTools3``779141
omainCharacterization`1`x`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``779259
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``779353
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`779634
omainDefiningPolynomial`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``779843
omainForm`1`x`(_$)->Union(OutputForm,"failed")`cRealClosedField``779954
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
omainKernel`1`x`(_$)->Union(Kernel(_$),"failed")`cExpressionSpace``780028
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``780198
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``780401
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`780669
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`780891
omainValue`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``781116
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``781223
omainVariableOf`1`n`(_$)->Symbol`dCell(TheField)``781347
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``781413
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`n`(_$)->Union(VarSet,"failed")`cMaybeSkewPolynomialCategory(R,E,VarSet)``781572
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``781772
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``781931
omakeCell`1`n`(List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField))))->_$`dCell(TheField)``782075
omakeCell`2`n`(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)),_$)->_$`dCell(TheField)``782153
omakeCos`2`x`(E,R)->_$`dFourierSeries(R,E)``782279
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``782368
omakeDisjoint`2`n`(_$,_$)->_$`dFiniteSimplicialComplex(VS)``782405
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``782531
omakeFEq`6`n`(BasicOperator,Symbol,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``782651
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger))))->Factored(UP)`pGaloisGroupFactorizer(UP)``782970
omakeFR`2`x`(R,List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger)))->_$`dFactored(R)``783077
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``783176
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``783438
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``783773
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``784011
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``784478
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``785008
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``785092
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``785376
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``785660
omakeObject`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``785981
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``786213
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``786566
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``786843
omakeObject`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``787144
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``787383
omakeObject`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``787723
omakeObject`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``788000
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``788287
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``788650
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``789080
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``789462
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``789905
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``790291
omakeObject`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``790690
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``790901
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``791342
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``791812
omakeRec`5`n`(BasicOperator,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``792354
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``792865
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``793055
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``793142
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``793269
omakeSin`2`x`(E,R)->_$`dFourierSeries(R,E)``793390
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``793479
omakeSystem`1`n`(List(D))->_$`dJetDifferentialEquation(JB,D)``794400
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``794477
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``794612
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`(S)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)``794679
omakeVariable`1`x`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`795002
omakeVariable`2`x`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``795330
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``795472
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``795694
omakeViewport3D`1`x`(_$)->_$`dThreeDimensionalViewport``796044
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``796270
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``796606
omakeYoungTableau`2`x`(List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``796851
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``797135
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``797188
omantissa`1`n`(_$)->Integer`dMachineFloat``797276
omantissa`1`x`(_$)->Integer`cFloatingPointSystem``797335
omap!`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap!`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap!`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap!`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap!`2`n`((S)->S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
omap!`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``797400
omap!`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)`has(_$,shallowlyMutable)`797496
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``797596
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)``797710
omapDown!`3`x`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``797842
omapDown!`3`x`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``798286
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``798894
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``798981
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`dFreeMonoid(S)``799068
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``799155
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``799284
omapGen`2`n`((S)->S,_$)->_$`dFreeMonoid(S)``799369
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``799454
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``799539
omapSolve`2`n`(UP,(F)->F)->Record(solns:List(F),maps:List(Record(arg:F,res:F)))`pPolynomialSolveByFormulas(UP,F)``799711
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``799756
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``799922
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``800027
omapUp!`2`x`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``800132
omapUp!`3`x`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``800457
omap`2`n`((A)->B,MA)->MB`pTwoDimensionalArrayFunctions(A,RA,CA,MA,B,RB,CB,MB)``800942
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`((Expression(CoefRing))->Expression(CoefRing),_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``801082
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->_$`dFakePolynomial``0
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),_$)->_$`dFakePolynomial``0
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``801191
omap`2`n`((R)->R,S)->S`xAbelianMonoidRing&(S,R,E)``0
omap`2`n`((R)->R,S)->S`xComplexCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xOctonionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xQuaternionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`2`n`((R)->R,_$)->_$`dAntiSymm(R,lVar)``801233
omap`2`n`((R)->R,_$)->_$`dXPolynomialRing(R,E)``801328
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``801427
omap`2`n`((R1)->R2,A1)->A2`pFiniteAbelianMonoidRingFunctions2(E,R1,A1,R2,A2)``801562
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``801686
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Record(numer:Polynomial(Integer),denom:Polynomial(Integer)))->Union(Polynomial(Integer),"failed"),_$)->Union(SparseUnivariatePolynomial(Polynomial(Integer)),"failed")`dFakePolynomial``0
omap`2`n`((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`xQuotientFieldCategory&(A,S)``0
omap`2`n`((S)->S,Kernel(S))->S`xExpressionSpace&(S)``0
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``801782
omap`2`x`((A)->A,_$)->_$`cIndexedDirectProductCategory(A,S)``801822
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``801972
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``802114
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``802234
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``802330
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``802514
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``802701
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``802863
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``803038
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``803145
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``803362
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``803504
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``803665
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``803705
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``803745
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``803785
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``803907
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``804016
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``804125
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``804167
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``804276
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)``804317
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``804359
omap`2`x`((R)->R,_$)->_$`cAbelianMonoidRing(R,E)``804401
omap`2`x`((R)->R,_$)->_$`cFullyEvalableOver(R)``804513
omap`2`x`((R)->R,_$)->_$`cMonoidRingCategory(R,M)``804608
omap`2`x`((R)->R,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``804720
omap`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``804831
omap`2`x`((R)->R,_$)->_$`cXFreeAlgebra(vl,R)``804937
omap`2`x`((R)->R,_$)->_$`dFactored(R)``805036
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``805313
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``805412
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``805606
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``805689
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``805776
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``806051
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``806231
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``806322
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``806438
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``806611
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``806651
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``806940
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``807064
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``807211
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`807304
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``807535
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``807605
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``807684
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``807819
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`807954
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``808045
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``808152
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``808234
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``808276
omap`2`x`((R1)->R2,M1)->M2`pFreeModuleCoefficientFunctions2(R1,R2,S,M1,M2)``808318
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``808407
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``808503
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``808599
omap`2`x`((R1)->R2,Sequence(R1))->Sequence(R2)`pSequenceFunctions2(R1,R2)``808639
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``808719
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``808815
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``808978
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``809140
omap`2`x`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``809232
omap`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)``809457
omap`2`x`((S)->S,_$)->_$`dEquation(S)``809628
omap`2`x`((S)->S,_$)->_$`dInfiniteTuple(S)``809725
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``809808
omap`2`x`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``809937
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((F)->S,Symbol,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``810042
omap`3`n`((R,R)->R,S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`3`n`((S,S)->S,A,A)->A`xListAggregate&(A,S)``0
omap`3`n`((S,S)->S,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`3`n`((Vars)->S,(R)->S,P)->S`pPolynomialCategoryLifting(E,Vars,R,P,S)``810183
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``810492
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``810537
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``810582
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``811019
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``811064
omap`3`x`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``811337
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``811586
omap`3`x`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``811707
omap`3`x`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``811861
omap`3`x`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``811985
omap`4`n`((R,R)->R,S,S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`4`x`((R)->S,OrderedCompletion(R),OrderedCompletion(S),OrderedCompletion(S))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``812195
omap`4`x`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``812369
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)``812731
omapall`2`x`((R1)->R2,Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``813133
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`813228
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``813326
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(_$)->_$`cIntegerNumberSystem``813425
omatch?`3`x`(_$,_$,Character)->Boolean`cStringAggregate``813492
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``813683
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``814089
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``814464
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``814828
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``815206
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``815600
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``815979
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``816071
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``816314
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``816406
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``816646
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``816738
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``816979
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``817071
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``817312
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``817404
omatrixConcat3D`3`n`(Symbol,_$,_$)->_$`dThreeDimensionalMatrix(R)``817645
omatrixDimensions`1`n`(_$)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``817747
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``817816
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``817995
omatrix`1`n`(_$)->Matrix(R)`dIncidenceAlgebra(R,S)``818105
omatrix`1`n`(_$)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``818185
omatrix`1`x`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``818252
omatrix`1`x`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``818398
omatrix`1`x`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``818544
omatrix`2`n`(_$,FreeMonoid(VAR))->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``818628
omatrix`2`n`(_$,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``818737
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`x`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->_$`cMatrixCategory(R,Row,Col)``818821
omaxColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``818943
omaxColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``819035
omaxDegree`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``819125
omaxDegree`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``819182
omaxDerivative`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``819529
omaxDerivative`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``819594
omaxIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
omaxIndex`1`n`(A)->Integer`xLinearAggregate&(A,S)``0
omaxIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
omaxIndex`1`n`(_$)->NonNegativeInteger`dFiniteCubicalComplex(VS)``819761
omaxIndex`1`n`(_$)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``819792
omaxIndex`1`n`(_$)->NonNegativeInteger`dOrientedFacet``819823
omaxIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`819852
omaxLevel`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``820041
omaxLevel`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``820096
omaxMixedDegree`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``820296
omaxMixedDegree`1`x`(NonNegativeInteger)->_$`dGuessOption``820363
omaxPoints3D`0`n`()->Integer`dPlot3D``820702
omaxPoints`0`n`()->Integer`dPlot``820778
omaxPoints`0`x`()->Integer`pGraphicsDefaults``820851
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``820925
omaxPower`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``820996
omaxPower`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``821051
omaxRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``821352
omaxRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``821441
omaxShift`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``821528
omaxShift`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``821583
omaxSubst`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``821722
omaxSubst`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``821777
omax`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`822137
omax`0`x`()->_$`dSingleInteger``822200
omax`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`1`n`(A)->NonNegativeInteger`xPoset&(A,S)``0
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`n`(A)->S`xHomogeneousAggregate&(A,S)``0
omax`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``822256
omax`1`x`(_$)->S`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`822441
omax`1`x`(_$)->S`cPriorityQueueAggregate(S)``822527
omax`2`n`((S,S)->Boolean,A)->S`xFiniteSetAggregate&(A,S)``0
omax`2`n`((S,S)->Boolean,A)->S`xHomogeneousAggregate&(A,S)``0
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xPoset&(A,S)``0
omax`2`n`(S,S)->S`xOrderedSet&(S)``0
omax`2`n`(_$,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``822604
omax`2`n`(_$,_$)->_$`cSPointCategory``822808
omax`2`x`((S,S)->Boolean,_$)->S`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`823085
omax`2`x`(_$,_$)->_$`cOrderedSet``823226
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``823320
omaxdeg`1`x`(_$)->FreeMonoid(vl)`cXPolynomialsCat(vl,R)``823478
omaximumExponent`0`n`()->Integer`dMachineFloat``823564
omaximumExponent`1`n`(Integer)->Integer`dMachineFloat``823638
omaxint`0`n`()->PositiveInteger`dMachineInteger``823722
omaxint`1`n`(PositiveInteger)->PositiveInteger`dMachineInteger``823786
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)``823860
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)``823942
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``824025
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`824222
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`825269
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`825685
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`825869
omedialSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``826951
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``827058
omeetIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``827629
omeetIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``827702
omeet`1`n`(List(_$))->_$`dLatticeJoinOfMeets``827931
omeet`1`n`(List(_$))->_$`dLatticeMeetOfJoins``827969
omeet`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cCoDcpo(S)``828007
omeijerG`5`n`(List(F),List(F),List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`828166
omeijerG`5`x`(List(_$),List(_$),List(_$),List(_$),_$)->_$`cSpecialFunctionCategory`has(_$,RetractableTo(Integer))`828239
omeixnerM`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``828313
omeixnerM`4`x`(_$,_$,_$,_$)->_$`cSpecialFunctionCategory``828380
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``828447
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
omember?`2`n`(S,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
omember?`2`n`(S,A)->Boolean`xHomogeneousAggregate&(A,S)``0
omember?`2`n`(Vector(R),_$)->Boolean`dVectorSpaceBasis(R)``828551
omember?`2`x`(Permutation(S),_$)->Boolean`dPermutationGroup(S)``828650
omember?`2`x`(S,_$)->Boolean`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`828772
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`n`(_$)->List(P)`dFiniteMoebiusFunction(P)``829002
omembers`1`n`(_$)->List(P)`dGeneralizedFiniteMoebiusFunction(P,R)``829065
omembers`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`829128
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`829300
omerge!`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``829392
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge!`3`x`((S,S)->Boolean,_$,_$)->_$`cExtensibleLinearAggregate(S)``829521
omerge2`7`n`(Integer,List(Integer),List(Integer),Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->Record(offsetdata:Vector(Integer),expdata:SortedExponentVector)`pInnerModularHermitePade``0
omergeDifference`2`x`(List(S),List(S))->List(S)`pMergeThing(S)``829624
omergeFactors`2`x`(_$,_$)->_$`dFactored(R)``829809
omerge_exponents`5`n`(Integer,Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->List(List(Integer))`pInnerModularHermitePade``0
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``830132
omerge`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``830211
omerge`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xPoset&(A,S)``0
omerge`2`n`(_$,_$)->_$`cFiniteGraph(S)``830405
omerge`2`n`(_$,_$)->_$`dFiniteSimplicialComplex(VS)``830598
omerge`2`n`(_$,_$)->_$`dSubSpace(n,R)``830646
omerge`2`x`(_$,_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`830738
omerge`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``830865
omerge`2`x`(_$,_$)->_$`cThreeSpaceCategory(R)``830996
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`xOneDimensionalArrayAggregate&(A,S)``0
omerge`3`x`((S,S)->Boolean,_$,_$)->_$`cLinearAggregate(S)`has(_$,finiteAggregate)`831174
omesh?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``831790
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``832004
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``832069
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``832138
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``832198
omeshPar2Var`7`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``832264
omesh`1`x`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``832339
omesh`1`x`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``832566
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``832828
omesh`4`x`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``833574
omesh`4`x`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``834495
omesh`4`x`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``835059
omesh`4`x`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``835840
omessagePrint`1`n`(String)->Void`dOutputForm``836214
omessage`1`n`(String)->_$`dOutputForm``836354
omfactor`2`n`(U32Vector,Integer)->List(U32Vector)`pModularFactorization``0
omiddle`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``836439
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``836510
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``836587
omightHaveRoots`2`x`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``836692
ominColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``836768
ominColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``836861
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``836952
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`n`(_$)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``836990
ominIndex`1`n`(_$)->NonNegativeInteger`dOrientedFacet``837021
ominIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`837050
ominPoints3D`0`n`()->Integer`dPlot3D``837237
ominPoints`0`n`()->Integer`dPlot``837313
ominPoints`0`x`()->Integer`pGraphicsDefaults``837386
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``837460
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``837531
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``837566
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`837601
ominPoly`1`x`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`837671
ominRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``837740
ominRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``837830
ominShift`1`n`(List(T))->List(T)`pListPackage(T)`has(T,OrderedSet)`837918
omin`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`838019
omin`0`x`()->_$`dSingleInteger``838082
omin`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`1`n`(A)->NonNegativeInteger`xPoset&(A,S)``0
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`n`(A)->S`xHomogeneousAggregate&(A,S)``0
omin`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``838139
omin`1`x`(_$)->S`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`838317
omin`1`x`(_$)->S`cOrderedMultisetAggregate(S)``838403
omin`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xPoset&(A,S)``0
omin`2`n`(S,S)->S`xOrderedSet&(S)``0
omin`2`n`(_$,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``838487
omin`2`n`(_$,_$)->_$`cSPointCategory``838684
omin`2`x`(_$,_$)->_$`cOrderedSet``838963
omindegTerm`1`x`(_$)->Record(k:FreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``839057
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``839134
omindeg`1`x`(_$)->FreeMonoid(vl)`cXFreeAlgebra(vl,R)``839292
ominimal?`1`n`(_$)->Boolean`dFreeDivisionAlgebra(VAR,F)``839388
ominimalMatrix`2`n`(Matrix(F),NonNegativeInteger)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``839456
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)``839584
ominimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``839702
ominimalPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`839823
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`839902
ominimalRepresentation`1`n`(XDistributedPolynomial(VAR,F))->Record(alpha:Matrix(F),mu:List(Matrix(F)),var:List(VAR),beta:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``840062
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``840280
ominimize`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``840356
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(_$)->E`cFiniteAbelianMonoidRing(R,E)``840531
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``840654
ominimumDegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``840812
ominimumExponent`0`n`()->Integer`dMachineFloat``840985
ominimumExponent`1`n`(Integer)->Integer`dMachineFloat``841059
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``841143
ominordet`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`841267
ominordet`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`841391
ominrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``841479
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``841561
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``841710
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``841862
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``842067
ominusInfinity`0`x`()->_$`dOrderedCompletion(R)``842120
omirror`1`n`(_$)->_$`dFreeMagma(VarSet)``842169
omirror`1`n`(_$)->_$`dFreeMonoid(S)``842381
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``842444
omirror`1`x`(_$)->_$`cFreeLieAlgebra(VarSet,R)``842526
omirror`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``842622
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``842722
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``842757
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``842918
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`843185
omk_erf`2`n`(F,F)->F`pElementaryRischDEX(R,F)``843306
omkcomm`1`x`(Integer)->_$`dCommutator``843367
omkcomm`2`x`(_$,_$)->_$`dCommutator``843407
ommul`3`n`(U32Matrix,U32Matrix,Integer)->U32Matrix`pModularFactorization``0
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``843452
omod_exp`3`n`(U32Vector,Integer,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->U32Vector`pModularFactorization``0
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``843498
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``843767
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``844005
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``844516
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``844995
omodpeval`4`n`(Polynomial(Integer),List(Symbol),List(Integer),Integer)->Integer`pPolynomialEvaluationUtilities``845312
omodpreduction`2`n`(Fraction(Polynomial(Integer)),Integer)->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``845467
omodpreduction`2`n`(MP,Integer)->MP`cModularEvaluationCategory(PT,MP)``845563
omodpreduction`2`n`(Polynomial(Integer),Integer)->Polynomial(Integer)`pPolynomialEvaluationUtilities``845653
omodularFactor`2`n`(UP,Set(NonNegativeInteger))->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``845744
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``846295
omodularGcd`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``846430
omodularInvariantJ`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``846546
omodular_compose`6`n`(U32Vector,U32Matrix,U32Vector,NonNegativeInteger,NonNegativeInteger,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->U32Vector`pModularFactorization``0
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)``846791
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFractionalIdealAsModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`847710
omodule`1`n`(Vector(A))->_$`dFractionalIdealAsModule(R,F,UP,A,ibasis)``847786
omoduloP`1`x`(_$)->Integer`cPAdicIntegerCategory(p)``847892
omodulus`0`n`()->Rep`dModMonic(R,Rep)``847955
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``847993
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``848048
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``848087
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``848126
omoebiusBand`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``848165
omoebiusBand`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``848291
omoebiusFunction`1`n`(List(P))->_$`dFiniteMoebiusFunction(P)``848423
omoebiusMatrix`1`n`(_$)->Matrix(Integer)`dFiniteMoebiusFunction(P)``848507
omoebiusMatrix`1`n`(_$)->Matrix(R)`dGeneralizedFiniteMoebiusFunction(P,R)``848565
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``848622
omoebiusMu`3`n`(_$,P,P)->Integer`dFiniteMoebiusFunction(P)``848899
omoebius`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
omoebius`1`n`(_$)->IncidenceAlgebra(Integer,S)`cPoset(S)``848984
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``849212
omoment2Stransform`1`n`(Sequence(R))->Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R))`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`849298
omoment2booleanCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``849426
omoment2cumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``849549
omoment2freeCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``849667
omoment2jacobi2`1`n`(Sequence(R))->Stream(Record(an:R,bn:R))`pMomentPackage(R)`has(R,Field)`849784
omoment2jacobi`1`n`(Sequence(R))->Record(an:Stream(R),bn:Stream(R))`pMomentPackage(R)`has(R,Field)`849890
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``849973
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`850089
omoment2nthJacobi`1`n`(List(R))->Record(an:List(R),bn:List(R))`pMomentPackage(R)`has(R,Field)`850205
omoment`2`n`(_$,NonNegativeInteger)->R`cDistributionCategory(R)``850334
omoments`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``850423
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``850509
omonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``850612
omonicCompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``850793
omonicDecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``851026
omonicDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,Ring)`851168
omonicDivide`3`n`(S,S,VarSet)->Record(quotient:S,remainder:S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonicDivide`3`x`(_$,_$,VarSet)->Record(quotient:_$,remainder:_$)`cPolynomialCategory(R,E,VarSet)`has(R,Ring)`851359
omonicLeftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`851610
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`851847
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``852131
omonicModulo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``852308
omonicRightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`852437
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`852676
omonicRightFactorIfCan`2`x`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``852962
omonologextint`3`n`(List(UP),(Matrix(F))->List(Vector(Fraction(Integer))),(List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer))))`pParametricTranscendentalIntegration(F,UP)``853224
omonomRDEsys`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),h:UP,c1:Fraction(UP),c2:Fraction(UP),t:UP),"failed")`pTranscendentalRischDESystem(F,UP)``853300
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``853728
omonom`2`x`(FreeMonoid(vl),R)->_$`cXFreeAlgebra(vl,R)``853819
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``853917
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``853984
omonomial?`1`x`(_$)->Boolean`cAbelianMonoidRing(R,E)``854025
omonomial?`1`x`(_$)->Boolean`cIndexedDirectProductCategory(A,S)``854092
omonomial?`1`x`(_$)->Boolean`cMonoidRingCategory(R,M)``854233
omonomial?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``854300
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``854373
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``854537
omonomial`2`n`(R,E)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Expon)->_$`cSolvableSkewPolynomialCategory(R,Expon)``854759
omonomial`2`n`(R,Integer)->_$`dLaurentPolynomial(R,UP)``854857
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``854902
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(A,S)->_$`cIndexedDirectProductCategory(A,S)``854947
omonomial`2`x`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,bLin)``855058
omonomial`2`x`(R,E)->_$`cAbelianMonoidRing(R,E)``855171
omonomial`2`x`(R,M)->_$`cMonoidRingCategory(R,M)``855269
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``855357
omonomial`3`n`(_$,VarSet,NonNegativeInteger)->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``855437
omonomial`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``855603
omonomial`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``855723
omonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`n`(_$)->List(_$)`cMaybeSkewPolynomialCategory(R,E,VarSet)``855781
omonomials`1`x`(_$)->List(_$)`cFreeModuleCategory(R,S)``855965
omonomials`1`x`(_$)->List(_$)`cMonoidRingCategory(R,M)``856050
omonotoneConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``856132
omonotoneCumulant2momentPoly`1`n`(Sequence(R))->Sequence(SparseUnivariatePolynomial(R))`pMomentPackage(R)``856250
omonotoneCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``856415
omonotoneCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)`has(R,Algebra(Fraction(Integer)))`856540
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`856648
omore?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``856857
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``856936
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``857209
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``857482
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``857563
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``857646
omotzkinPathArray`3`n`(Stream(R),Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``857774
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``857968
omove`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``858220
omovedPoints`1`x`(_$)->Set(S)`dPermutation(S)``858476
omovedPoints`1`x`(_$)->Set(S)`dPermutationGroup(S)``858566
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``858644
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)``858828
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``859003
omrv_limit1`2`n`(Expression(Integer),Symbol)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``859026
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``859062
omrv_limit`3`n`(Expression(Integer),Equation(Expression(Integer)),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``859149
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``859296
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``859377
omrv_limit`4`n`(Expression(Integer),Symbol,Expression(Integer),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``859399
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``859501
omrv_rewrite0`4`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Expression(Integer))->Expression(Integer)`pMrvLimitPackage``859609
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``859636
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``859651
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``0
omul_by_binomial`3`n`(U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``859681
omul_by_binomial`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``859873
omul_by_scalar`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``860110
omul`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``860284
omulmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``860318
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``860403
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``860454
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``860511
omultiIndex`1`n`(_$)->List(NonNegativeInteger)`cJetBundleCategory``860734
omulti_SPDE`5`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),List(SparseUnivariatePolynomial(F)),Integer,(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Union(List(Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))),Record(ans:List(SparseUnivariatePolynomial(F)),acoeff:SparseUnivariatePolynomial(F),eegen:SparseUnivariatePolynomial(F),bpar:SparseUnivariatePolynomial(F),lcpar:List(SparseUnivariatePolynomial(F)),dpar:Integer))`pRDEaux(--F)``860818
omultifunctionGraph`1`n`(List(Permutation(S)))->_$`dMultifunctionGraph(S)``860869
omultifunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:List(NonNegativeInteger),map:List(List(NonNegativeInteger)))))->_$`dMultifunctionGraph(S)``860921
omultifunctionGraph`1`n`(List(S))->_$`dMultifunctionGraph(S)``861025
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))))->_$`dMultifunctionGraph(S)``861297
omultifunctionGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dMultifunctionGraph(S)``861412
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``861482
omultiple?`1`n`(_$)->Boolean`dPattern(R)``861603
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``861748
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``862054
omultiplicative?`2`n`(_$,PositiveInteger)->Boolean`dDirichletRing(Coef)``862324
omultiplyALS`2`n`(_$,_$)->_$`dFreeDivisionAlgebra(VAR,F)``862441
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``862586
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``862756
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``862973
omultiplyColumn!`3`n`(_$,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``863198
omultiplyColumn!`3`n`(_$,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``863306
omultiplyExponents`2`x`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``863392
omultiplyExponents`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``863528
omultiplyExponents`2`x`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``863699
omultiplyMIN`2`n`(_$,_$)->_$`dFreeDivisionAlgebra(VAR,F)``863827
omultiplyRow!`3`n`(_$,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``863917
omultiplyRow!`3`n`(_$,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``864019
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``864098
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``864220
omultiset`0`x`()->_$`dMultiset(S)``864367
omultiset`1`x`(List(S))->_$`dMultiset(S)``864448
omultiset`1`x`(S)->_$`dMultiset(S)``864524
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``864594
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``864697
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``864800
omultivariate`2`x`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``864935
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``865070
omultivector`1`x`(List(K))->_$`dCliffordAlgebra(n,K,bLin)``865124
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``865205
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``865306
omutable?`1`n`(_$)->Boolean`dFreeDivisionAlgebra(VAR,F)``865445
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`(_$)->V`cRecursivePolynomialCategory(R,E,V)``865514
omvar`1`x`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``865705
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``865857
onaiveBeckermannLabahn0`8`n`(Vector(U32Vector),Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->Void`pNaiveBeckermannLabahnModular``865896
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
onaiveBeckermannLabahnMultipoint`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``865923
onaiveBeckermannLabahnMultipoint`4`n`(Vector(U32Vector),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``866497
onaiveBeckermannLabahn`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``867071
onaiveBeckermannLabahn`4`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``867624
oname`1`n`(_$)->Symbol`cJetBundleCategory``868177
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``868247
oname`1`n`(_$)->Symbol`dKernel(S)``868288
oname`1`n`(_$)->Symbol`dRuleCalled(f)``868352
oname`1`x`(_$)->Name`cFileCategory(Name,S)``868393
oname`1`x`(_$)->String`cFileNameCategory``868463
oname`1`x`(_$)->Symbol`dBasicOperator``868525
oname`1`x`(_$)->_$`dSymbol``868579
onamedBranch`2`n`(List(_$),List(String))->_$`dSceneNamedPoints(PT)``868639
onamedPoints`2`n`(List(PT),List(String))->_$`dSceneNamedPoints(PT)``868721
onamedPoints`2`n`(List(Scene(PT)),List(String))->_$`dSceneNamedPoints(PT)``868796
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(_$,_$)->_$`cBitAggregate``868870
onand`2`x`(_$,_$)->_$`dBoolean``868969
onary?`1`x`(_$)->Boolean`dBasicOperator``869051
oncDetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``869115
oncDetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``869279
oncDetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``869443
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`n`(_$)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``869642
oncols`1`n`(_$)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``869696
oncols`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``869773
oncols`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``869850
onegative?`1`n`(S)->Boolean`xOrderedRing&(S)``0
onegative?`1`x`(_$)->Boolean`cIntervalCategory(R)``869925
onegative?`1`x`(_$)->Boolean`cOrderedRing``870040
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``870115
onelem`1`n`(_$)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``870215
onewFortranTempVar`0`n`()->Symbol`pFortranCodeTools``870270
onewLine`0`x`()->String`pDisplayPackage``870374
onewReduc`1`n`(Integer)->Void`pFunctionSpaceReduce(R,F)``870434
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``870551
onewTypeLists`1`n`(_$)->SExpression`dSymbolTable``870658
onew`0`n`()->_$`dHashState``870702
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``870746
onew`0`n`()->_$`dPatternMatchResult(R,S)``870800
onew`0`n`()->_$`dScriptFormulaFormat``870854
onew`0`n`()->_$`dSubSpace(n,R)``871029
onew`0`n`()->_$`dSubSpaceComponentProperty``871063
onew`0`n`()->_$`dTexFormat``871097
onew`0`x`()->_$`dSymbol``871268
onew`1`n`(F)->_$`dFreeDivisionAlgebra(VAR,F)``871336
onew`1`x`(_$)->_$`dSymbol``871385
onew`2`n`(FreeMonoid(VAR),F)->_$`dFreeDivisionAlgebra(VAR,F)``871462
onew`2`n`(LinearMultivariateMatrixPencil(F),List(FreeMonoid(VAR)))->_$`dFreeDivisionAlgebra(VAR,F)``871541
onew`2`n`(List(C),Integer)->_$`dSparseEchelonMatrix(C,D)``871678
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``871866
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``871968
onew`3`x`(String,String,String)->_$`cFileNameCategory``872066
onewline`0`x`()->_$`dCharacter``872384
onewton`1`n`(List(F))->SparseUnivariatePolynomial(F)`pNewtonInterpolation(F)``872440
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``872802
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``873141
onextItem`1`n`(A)->Union(A,"failed")`xQuotientFieldCategory&(A,S)``0
onextItem`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xIntegerNumberSystem&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
onextItem`1`x`(_$)->Union(_$,"failed")`cStepThrough``873848
onextLatticePermutation`3`x`(List(Integer),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``873935
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``874378
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``875214
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``876208
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``876616
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``877024
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``877108
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``878169
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``878993
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``879089
onext_sousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``880146
onext_subResultant2`4`x`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`880300
onext`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``880518
onilFactor`2`x`(R,NonNegativeInteger)->_$`dFactored(R)``880714
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`880869
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``881178
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``881278
onode?`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
onode?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`881521
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeFromArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``881653
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`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``881780
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``881902
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`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``881999
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeToNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``882125
onode`3`x`(_$,S,_$)->_$`cBinaryTreeCategory(S)``882246
onodes`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
onodes`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``882376
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``882457
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``882497
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`882626
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``882755
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``882856
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(_$,_$)->_$`cBitAggregate``882957
onor`2`x`(_$,_$)->_$`dBoolean``883054
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``883134
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``883175
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``883218
onorm`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`1`n`(S)->R`xComplexCategory&(S,R)``0
onorm`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
onorm`1`n`(S)->R`xOctonionCategory&(S,R)``0
onorm`1`n`(S)->R`xQuaternionCategory&(S,R)``0
onorm`1`n`(S)->S`xRealNumberSystem&(S)``0
onorm`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``883318
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``883449
onorm`1`n`(_$)->F`dFractionalIdealAsModule(R,F,UP,A,ibasis)``883511
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``883574
onorm`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``883692
onorm`1`x`(_$)->R`cComplexCategory(R)``883834
onorm`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``883895
onorm`1`x`(_$)->R`cOctonionCategory(R)``884010
onorm`1`x`(_$)->R`cQuaternionCategory(R)``884120
onorm`1`x`(_$)->_$`cRealNumberSystem``884216
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``884273
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``884355
onorm`2`x`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``884452
onorm`2`x`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``884583
onorm`2`x`(_$,Kernel(_$))->_$`dAlgebraicNumber``884715
onorm`2`x`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``884852
onorm`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`884990
onormal01`0`n`()->Float`pRandomFloatDistributions``885294
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``885333
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``885498
onormal?`1`x`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`885596
onormalALS`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``885879
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``885955
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``886090
onormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`886192
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``886640
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,Dpol)`has(Dom,Field)`886750
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``886926
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``887174
onormalisePoint`1`n`(_$)->_$`dSConformal(n)``887217
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``887310
onormalize!`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``887475
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``887726
onormalizeDIAG!`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``887798
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``887932
onormalizePLS!`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``888040
onormalizeRHS!`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``888231
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``888379
onormalize`1`x`(List(F))->List(F)`pElementaryFunctionStructurePackage(R,F)``888499
onormalize`1`x`(_$)->_$`dFloat``888557
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``888626
onormalize`2`x`(List(F),List(Symbol))->List(F)`pElementaryFunctionStructurePackage(R,F)``888697
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``889044
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``889135
onormalized?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``889312
onormalized?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``889506
onormalized?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``889631
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``889799
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``890084
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`890287
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(_$)->_$`dOutputForm``890490
onot`1`x`(_$)->_$`cBitAggregate``890546
onot`1`x`(_$)->_$`dBoolean``890624
onot`1`x`(_$)->_$`dSingleInteger``890678
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``890772
onpcoef`3`n`(SparseUnivariatePolynomial(P),List(BP),List(P))->Record(deter:List(SparseUnivariatePolynomial(P)),dterm:List(List(Record(expt:NonNegativeInteger,pcoef:P))),nfacts:List(BP),nlead:List(P))`pNPCoef(BP,E,OV,R,P)``890855
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`n`(_$)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``891441
onrows`1`n`(_$)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``891492
onrows`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``891566
onrows`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``891640
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:NonNegativeInteger)))`pMultivariateSquareFree(E,OV,R,P)``891712
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``891750
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``891836
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`dFreeMonoid(S)``891922
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``892008
onthFactor`2`n`(_$,Integer)->S`dFreeMonoid(S)``892093
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``892178
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``892263
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``892377
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(_$,Integer)->_$`cRadicalCategory``892688
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``892759
onull?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``892818
onullBoundary`0`n`()->_$`dSBoundary(PT)``892899
onullSpaceOverConstants`2`n`(Matrix(F),List((F)->F))->List(Vector(F))`pConstantLinearDependence(R,F)``893024
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,shallowlyMutable)`893168
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,shallowlyMutable)`893254
onullSpace`1`n`(Matrix(R))->_$`dVectorSpaceBasis(R)``893340
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`893565
onullSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`893651
onullSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`893737
onullary?`1`x`(_$)->Boolean`dBasicOperator``893824
onullary`1`x`(A)->()->A`pMappingPackage1(A)``893882
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``893966
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`894099
onullity`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`894232
onullity`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`894365
onumDepVar`0`n`()->PositiveInteger`cJetBundleCategory``894498
onumDepVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumDepVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumFunEvals3D`0`n`()->Integer`dPlot3D``894565
onumFunEvals`0`n`()->Integer`dPlot``894634
onumIndVar`0`n`()->PositiveInteger`cJetBundleCategory``894700
onumIndVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumIndVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumber?`1`x`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`894769
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``894824
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``894872
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``894964
onumberOfComponents`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``895056
onumberOfComposites`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``895251
onumberOfComputedEntries`1`x`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``895717
onumberOfCycles`1`x`(_$)->NonNegativeInteger`dPermutation(S)``895896
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``895998
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``896191
onumberOfFactors`1`x`(_$)->NonNegativeInteger`dFactored(R)``896480
onumberOfFractionalTerms`1`x`(_$)->Integer`dPartialFraction(R)``896566
onumberOfHues`0`x`()->PositiveInteger`dColor``896707
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``896790
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``897312
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFiniteAbelianMonoidRing(R,E)``897485
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cIndexedDirectProductCategory(A,S)``897583
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cMonoidRingCategory(R,M)``897663
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``897774
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``897920
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
onumerJP`1`n`(_$)->SparseMultivariatePolynomial(Expression(Integer),JB)`dJetBundleExpression(JB)``898072
onumer`1`n`(_$)->A`dLocalAlgebra(A,R)``898143
onumer`1`n`(_$)->M`dLocalize(M,R)``898200
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``898257
onumer`1`x`(_$)->S`cQuotientFieldCategory(S)``898341
onumer`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``898412
onumer`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`898522
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace&(S,R)``0
onumerator`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``898761
onumerator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,Ring)`898822
onumerator`1`x`(_$)->_$`cQuotientFieldCategory(S)``898900
onumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``898986
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`899184
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`899301
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`899418
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`899535
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`899687
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`899839
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`899991
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`900058
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`900125
onumeric`1`x`(S)->Float`pNumeric(S)``900192
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`900259
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`900361
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`900463
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``900565
oobj`1`x`(_$)->None`dAny``900667
oobjectOf`1`x`(_$)->OutputForm`dAny``900819
oobjectToIndex`2`n`(A,S)->NonNegativeInteger`xPoset&(A,S)``0
oobjectToIndex`2`n`(_$,S)->NonNegativeInteger`cPoset(S)``900931
oobjects`1`x`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``900974
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``901205
oocton`2`x`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``901552
oocton`8`x`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``901663
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`901773
oodd?`1`x`(_$)->Boolean`cIntegerNumberSystem``901840
oodd?`1`x`(_$)->Boolean`dPermutation(S)``901914
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``902047
oodd_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``902198
oodd_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``902306
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``902535
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``902605
ooddlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``902931
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``903308
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``903398
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``903525
oomError`2`x`(OpenMathErrorKind,List(Symbol))->_$`dOpenMathError``903681
oomega`0`n`()->_$`dSmallOrdinal``903749
oomegapower`1`n`(_$)->_$`dSmallOrdinal``903801
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`n`(_$)->Boolean`cJetBundleCategory``903845
oone?`1`x`(_$)->Boolean`cMagmaWithUnit``903938
oone?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``903998
ooneDimensionalArray`1`x`(List(S))->_$`dOneDimensionalArray(S)``904104
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``904191
ooneSkeleton`1`n`(_$)->DirectedGraph(NonNegativeInteger)`dFiniteSimplicialComplex(VS)``904291
ooneSkeleton`1`n`(_$)->UndirectedGraph(NonNegativeInteger)`dDeltaComplex(VS)``904329
oone`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``904367
oone`1`x`(Boolean)->_$`dGuessOption``904457
oopType`1`n`(_$)->Symbol`dILogic``904582
oopType`1`n`(_$)->Symbol`dLatticeJoinOfMeets``904768
oopType`1`n`(_$)->Symbol`dLatticeMeetOfJoins``904954
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``905140
oopen`1`x`(Name)->_$`cFileCategory(Name,S)``905215
oopen`2`x`(Name,String)->_$`cFileCategory(Name,S)``905279
ooperation`1`n`(_$)->Union(Null:"null",Assignment:"assignment",Conditional:"conditional",Return:"return",Block:"block",Comment:"comment",Call:"call",For:"for",While:"while",Repeat:"repeat",Goto:"goto",Continue:"continue",ArrayAssignment:"arrayAssignment",Save:"save",Stop:"stop",Common:"common",Print:"print")`dFortranCode``905396
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``905482
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``905714
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``905884
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``905974
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``906146
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``906225
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(OutputForm)->OutputForm`pOutputFormTools``906337
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``906451
ooperator`1`n`(_$)->BasicOperator`dKernel(S)``906629
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace``906698
ooperator`1`x`(Symbol)->_$`dBasicOperator``906810
ooperator`2`x`(Symbol,NonNegativeInteger)->_$`dBasicOperator``906890
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`x`(_$)->List(BasicOperator)`cExpressionSpace``906967
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``907084
oopposite?`2`n`(S,S)->Boolean`xAbelianGroup&(S)``0
oopposite?`2`n`(S,S)->Boolean`xAbelianMonoid&(S)``0
oopposite?`2`x`(_$,_$)->Boolean`cAbelianMonoid``907137
oopposite`1`n`(A)->A`xPoset&(A,S)``0
oopposite`1`n`(_$)->_$`cPoset(S)``907223
ooption?`2`x`(List(_$),Symbol)->Boolean`dDrawOption``907311
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``907512
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``907701
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dGuessOption``907844
ooptional?`1`n`(_$)->Boolean`dPattern(R)``907911
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``908015
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``908189
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``908327
ooptions`1`x`(_$)->List(DrawOption)`dThreeDimensionalViewport``908555
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``908784
ooptions`2`x`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``909079
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``909365
oor`2`n`(_$,_$)->_$`dOutputForm``909481
oor`2`x`(_$,_$)->_$`cBitAggregate``909537
oor`2`x`(_$,_$)->_$`dBoolean``909628
oorbit`2`x`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``909722
oorbit`2`x`(_$,S)->Set(S)`cPermutationCategory(S)``909930
oorbit`2`x`(_$,S)->Set(S)`dPermutationGroup(S)``910119
oorbit`2`x`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``910310
oorbits`1`x`(_$)->Set(Set(S))`dPermutationGroup(S)``910416
oord`1`x`(_$)->Integer`dCharacter``910551
oorderDim`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorderDim`3`n`(List(_$),SparseEchelonMatrix(JB,_$),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``910692
oorder`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pFindOrderFinite(F,UP,UPUP,R)``910911
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``910948
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``911063
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`n`(_$)->Integer`cFiniteGroup``911100
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``911171
oorder`1`n`(_$)->NonNegativeInteger`cFacetCategory``911208
oorder`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``911234
oorder`1`n`(_$)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``911328
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``911427
oorder`1`n`(_$)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``911583
oorder`1`x`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``911664
oorder`1`x`(_$)->Integer`cFloatingPointSystem``911820
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``911940
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``912146
oorder`1`x`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``912263
oorder`1`x`(_$)->NonNegativeInteger`dPermutation(S)``912359
oorder`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``912446
oorder`1`x`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``912511
oorder`1`x`(_$)->PositiveInteger`cFiniteFieldCategory``912634
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``912770
oorder`2`x`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``912857
oorder`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``912978
oorder`2`x`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``913104
oorder`2`x`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`913259
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``913426
oorder`3`x`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``913473
oordinalAdd`2`n`(_$,_$)->_$`dSmallOrdinal``913546
oordinalMul`2`n`(_$,_$)->_$`dSmallOrdinal``913636
oordinalPower`2`n`(_$,_$)->_$`dSmallOrdinal``913730
oorientedFacetIfCan`1`n`(List(_$))->Union(_$,"failed")`dOrientedFacet``913895
oorientedFacetSigned`1`n`(List(Integer))->_$`dOrientedFacet``914176
oorientedFacetUnsigned`1`n`(List(Integer))->_$`dOrientedFacet``914309
oorientedFacet`2`n`(Integer,List(NonNegativeInteger))->_$`dOrientedFacet``914395
oorientedFacet`2`n`(Integer,OrientedFacet)->_$`dOrientedFacet``914574
oorthogonalPolynomials`1`n`(_$)->Stream(SparseUnivariatePolynomial(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`914619
oorthogonalPolynomials`1`n`(_$)->Stream(SparseUnivariatePolynomial(R))`cDistributionCategory(R)`has(R,Field)`914704
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``914789
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ooutDegree`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``914954
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`915057
ooutlineRender`2`x`(_$,String)->Void`dThreeDimensionalViewport``915203
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``915608
ooutputAsFortran`1`n`(_$)->Void`cFortranProgramCategory``915715
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``915801
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``915971
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``916045
ooutputAsScript`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``916197
ooutputAsScript`1`x`(OutputForm)->Void`pSpecialOutputPackage``916385
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``916537
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``916698
ooutputFixed`0`x`()->Void`dFloat``916822
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``916937
ooutputFloating`0`x`()->Void`dFloat``917070
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``917253
ooutputForm`1`n`(Integer)->_$`dOutputForm``917408
ooutputForm`1`n`(String)->_$`dOutputForm``917467
ooutputForm`1`n`(Symbol)->_$`dOutputForm``917524
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``917581
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``917766
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``917888
ooutputGeneral`0`x`()->Void`dFloat``918482
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``918673
ooutputList`1`x`(List(Any))->Void`pOutputPackage``918789
ooutputSpacing`1`x`(NonNegativeInteger)->Void`dFloat``918999
ooutputVRML`2`n`(_$,TextFile)->Void`dXmlAttribute``919139
ooutputVRML`2`n`(_$,TextFile)->Void`dXmlElement``919417
ooutput`1`x`(OutputForm)->Void`pOutputPackage``919693
ooutput`1`x`(String)->Void`pOutputPackage``919841
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``919984
oover`2`n`(_$,_$)->_$`dOutputForm``920162
ooverbar`1`n`(_$)->_$`dOutputForm``920257
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``920325
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`dFreeMonoid(S)``920420
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``920629
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``920772
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``920858
opa_to_sup`1`n`(U32Vector)->SparseUnivariatePolynomial(Integer)`pU32VectorPolynomialOperations``920946
opack!`1`x`(_$)->_$`dKeyedAccessFile(Entry)``921021
opack!`1`x`(_$)->_$`dLibrary``921107
opack_exps0`4`n`(SortedExponentVector,List(Integer),Integer,Integer)->Void`dModularAlgebraicGcdTools3``921193
opack_exps`3`n`(Integer,Integer,MD)->SortedExponentVector`cModularAlgebraicGcdOperations(MP,MPT,MD)``921270
opack_modulus`3`n`(List(MP),List(Symbol),Integer)->Union(MD,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``921443
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``921606
opackageCall`2`n`(Symbol,List(InputForm))->InputForm`pInputFormFunctions1(R)``921695
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``921822
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``922048
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``922360
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``922682
opadicFraction`1`x`(_$)->_$`dPartialFraction(R)``923006
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``923271
opair?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``923416
opalgLODE0`6`n`(L,F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`923495
opalgLODE0`8`n`(L,F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`923685
opalgLODE`5`n`(L,F,Kernel(F),Kernel(F),Symbol)->Record(particular:Union(F,"failed"),basis:List(F))`pPureAlgebraicIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`924016
opalgRDE0`7`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),F,SparseUnivariatePolynomial(F))->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``924152
opalgRDE0`9`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``924636
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``925246
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``925669
opalgint0`7`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``925852
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``926248
opalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``926379
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``926529
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``926777
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``926985
oparallel`2`n`(_$,_$)->DoubleFloat`cSPointCategory``927244
oparam_LODE`4`n`(List(F),List(F),Kernel(F),Kernel(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F))`pPureAlgebraicIntegration(R,F,L)``927452
oparam_RDE`4`n`(F,List(F),Kernel(F),Kernel(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F))`pPureAlgebraicIntegration(R,F,L)``927497
oparam_rde2`6`n`(F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricRischDE(R,F)``927541
oparam_rde`7`n`(Integer,F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricRischDE(R,F)``927810
oparam_rde`8`n`(Integer,F,F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricRischDE(R,F)``928087
oparametersOf`1`n`(_$)->List(Symbol)`dSymbolTable``928424
oparametric?`1`n`(_$)->Boolean`dPlot``928513
oparen`1`n`(List(_$))->_$`dOutputForm``928583
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`dOutputForm``928711
oparen`1`x`(_$)->_$`cExpressionSpace``928786
oparent`1`n`(_$)->_$`dSubSpace(n,R)``929009
oparseIL2`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dILogic``929192
oparseILTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dILogic``929443
oparseIL`1`n`(String)->_$`dILogic``929592
oparseLambda`1`n`(String)->_$`dLambda(UT)``929804
oparseSki`1`n`(String)->_$`dSKICombinators(UT)``930389
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dLambda(UT)``930433
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dSKICombinators(UT)``930590
oparseVarTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`cVarCat``930741
oparseVar`1`n`(String)->_$`cVarCat``930870
oparse_integer`1`n`(String)->Integer`pScanningUtilities``930918
oparse`1`n`(String)->_$`dInputForm``930997
opartialDenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``931079
opartialFraction`1`x`(Fraction(R))->_$`dPartialFraction(R)`has(R,UniqueFactorizationDomain)`931331
opartialFraction`2`x`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``931473
opartialFraction`2`x`(R,Factored(R))->_$`dPartialFraction(R)``931626
opartialFraction`3`x`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``931792
opartialNumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``932028
opartialQuotients`1`x`(_$)->Stream(R)`dContinuedFraction(R)``932274
oparticularSolutionOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``932531
oparticularSolutionOverConstants`3`n`(Vector(F),F,List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``932742
oparticularSolutionOverQ`2`x`(Matrix(R),Vector(R))->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``932959
oparticularSolutionOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``933156
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F)``933358
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`933408
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`933622
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`933814
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`934028
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``934220
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``934325
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``934430
opartition`1`n`(List(Integer))->_$`dPartition``934774
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``934862
opartitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``935043
opartitions`2`x`(Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``935116
opartitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``935291
oparts`1`n`(A)->List(S)`xOneDimensionalArrayAggregate&(A,S)``0
oparts`1`n`(A)->List(S)`xRecursiveAggregate&(A,S)``0
oparts`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oparts`1`n`(S)->List(R)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oparts`1`n`(S)->List(Record(key:Key,entry:Entry))`xTableAggregate&(S,Key,Entry)``0
oparts`1`x`(_$)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``935499
oparts`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`935584
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``935721
opastel`1`x`(Color)->_$`dPalette``935874
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)``935970
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)``936237
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`936555
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``936760
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``936955
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``937141
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``937349
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`937532
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``937721
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)``937912
opatternMatch`3`x`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``938133
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)``938442
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)``938705
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``939094
opattern`1`x`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``939291
opdct`1`n`(_$)->Integer`dPartition``939394
opencil`1`n`(_$)->LinearMultivariateMatrixPencil(F)`dFreeDivisionAlgebra(VAR,F)``939543
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``939611
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``939732
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``939898
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``940041
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``940169
operm_to_vec`3`x`(List(S),Permutation(S),NonNegativeInteger)->Vector(NonNegativeInteger)`dPermutationGroup(S)``940280
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``940359
opermutationGroup`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``941627
opermutationRepresentation`1`n`(G)->Permutation(Integer)`pFiniteGroupPackage(G)``941739
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``941851
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``942071
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``942339
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``942584
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``942773
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``942940
opermutation`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``943089
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``943250
operpendicular`2`n`(_$,_$)->_$`cSPointCategory``943368
operspective`2`x`(_$,String)->Void`dThreeDimensionalViewport``943577
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``943832
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``944088
ophysicalLength!`2`x`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``944208
ophysicalLength`1`x`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->F`pElementaryFunction(R,F)``944310
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`n`()->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``944367
opi`0`x`()->_$`cTranscendentalFunctionCategory``944508
opi`0`x`()->_$`dPi``944566
opile`1`n`(List(_$))->_$`dOutputForm``944626
opivot`2`n`(_$,Integer)->Record(Index:C,Entry:D)`dSparseEchelonMatrix(C,D)``944826
opivots`1`n`(_$)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``944958
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``945062
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``945223
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``945611
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``946084
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``946311
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``946534
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``946647
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``946769
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``946863
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``947002
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``947043
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``947084
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``947235
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``947396
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``947602
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``947687
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``947817
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``948003
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``948268
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``948343
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``948539
oplusInfinity`0`x`()->_$`dOrderedCompletion(R)``948590
oplus`2`n`(_$,_$)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`948638
opmComplexintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`948739
opmintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`948961
opmintegrate`4`n`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F))->Union(F,"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,SpecialFunctionCategory))`949097
opoint?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``949254
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``949418
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``949506
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``949616
opointColor`1`x`(Float)->_$`dDrawOption``949845
opointColor`1`x`(Palette)->_$`dDrawOption``949988
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``950159
opointList`1`n`(_$)->List(PT)`dSceneIFS(PT)``950279
opointList`1`x`(_$)->List(S)`dPermutationGroup(S)``950348
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``950408
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``950570
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``950761
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``950931
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``951215
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``951276
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``951366
opoint`1`x`(List(R))->_$`cPointCategory(R)``951466
opoint`1`x`(Point(R))->_$`cThreeSpaceCategory(R)``951579
opoint`1`x`(_$)->Point(R)`cThreeSpaceCategory(R)``951699
opoint`2`x`(_$,List(R))->_$`cThreeSpaceCategory(R)``951879
opoint`2`x`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``952138
opoint`2`x`(_$,Point(R))->_$`cThreeSpaceCategory(R)``952303
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``952548
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``952906
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``953154
opoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``953424
opoisson`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``953515
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``953554
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``954032
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`954145
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``954260
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``954475
opole?`1`x`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``954614
opolyPart`1`x`(_$)->UP`dFullPartialFractionExpansion(F,UP)``954689
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``954756
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``955161
opoly_factor`1`n`(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))->Factored(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))`pExpressionFactorPolynomial(R,F)``955581
opoly_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``955643
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``955705
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``955801
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``955885
opolygamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``955969
opolygon?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``956109
opolygon`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``956259
opolygon`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``956454
opolygon`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``956683
opolygon`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``957054
opolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``957233
opolylog`2`x`(_$,_$)->_$`cSpecialFunctionCategory``957314
opolynomial?`1`n`(_$)->Boolean`dFreeDivisionAlgebra(VAR,F)``957396
opolynomial`1`n`(_$)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``957456
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``957525
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``957649
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``957773
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``957927
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``958081
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``958120
opop!`1`x`(_$)->S`cStackAggregate(S)``958288
opopFortranOutputStack`0`n`()->Void`pFortranOutputStackPackage``958500
oposetL7`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``958568
oposetM5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``958631
oposetN5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``958694
oposetO6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``958757
oposetP6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``958820
oposition!`2`x`(_$,SingleInteger)->SingleInteger`dBinaryFile``958883
oposition`1`x`(_$)->NonNegativeInteger`cCachableSet``958959
oposition`1`x`(_$)->SingleInteger`dBinaryFile``959038
oposition`2`n`((S)->Boolean,A)->Integer`xLinearAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xLinearAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`(_$,List(_$))->Integer`dCubicalFacet``959120
oposition`2`n`(_$,List(_$))->Integer`dOrientedFacet``959227
oposition`2`x`((S)->Boolean,_$)->Integer`cLinearAggregate(S)`has(_$,finiteAggregate)`959334
oposition`2`x`(S,_$)->Integer`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`959523
oposition`3`n`(S,A,Integer)->Integer`xLinearAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xListAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`3`x`(CharacterClass,_$,Integer)->Integer`cStringAggregate``959682
oposition`3`x`(S,_$,Integer)->Integer`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`959907
oposition`3`x`(_$,_$,Integer)->Integer`cStringAggregate``960098
opositive?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
opositive?`1`n`(S)->Boolean`xOrderedRing&(S)``0
opositive?`1`x`(_$)->Boolean`cIntervalCategory(R)``960302
opositive?`1`x`(_$)->Boolean`cOrderedRing``960417
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``960495
opositivePower`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
opositivePower`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`960595
opositiveRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``960726
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``960851
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``960947
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``961073
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``961169
opossibleOrder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``962026
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``962139
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``962338
opostfix`2`n`(_$,_$)->_$`dOutputForm``962507
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))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``962583
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``962638
opow`4`n`(U32Vector,PositiveInteger,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``962672
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``962821
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``963106
opowerSetStructure`1`n`(S)->_$`cPoset(S)``963212
opowerSum`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``963398
opower_matrix`3`n`(U32Vector,NonNegativeInteger,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->Record(matr:U32Matrix,poly:U32Vector)`pModularFactorization``0
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`963486
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`963578
opowers`1`n`(List(Integer))->List(List(Integer))`dPartition``963659
opowerset`1`n`(List(S))->FiniteBiCPO(List(S))`pPosetFactory(S)``963953
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``964059
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``964144
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``964299
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``964438
opre_gauss`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``964497
opre_lr`3`n`(Matrix(Integer),Vector(Integer),Vector(Integer))->Matrix(Integer)`pUnitGaussianElimination``964647
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``964862
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``964965
opre_smith`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``965068
oprecision`0`n`()->PositiveInteger`dMachineFloat``965195
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``965263
oprecision`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``965327
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`965405
oprecondition`1`n`(OutputForm)->OutputForm`pOutputFormTools``965490
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``965550
opredicates`1`n`(_$)->List(Any)`dPattern(R)``965703
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(_$,_$)->Boolean`cStringAggregate``965845
oprefixRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``966020
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``966238
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``966388
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``966544
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)``966684
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)``966799
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``966914
opresub`2`n`(_$,_$)->_$`dOutputForm``967023
opresuper`2`n`(_$,_$)->_$`dOutputForm``967108
opretendOfType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``967197
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``967287
oprevious`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``967371
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`967543
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`967645
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)``967793
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`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``967909
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``967990
oprime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``969195
oprime?`1`x`(_$)->Boolean`cUniqueFactorizationDomain``969257
oprimeFactor`2`x`(R,NonNegativeInteger)->_$`dFactored(R)``969421
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(_$)->_$`cFieldOfPrimeCharacteristic``969572
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``969663
oprime`1`n`(_$)->_$`dOutputForm``969761
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``969853
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``969936
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)``970027
oprimintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``970294
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``970506
oprimitive?`1`x`(_$)->Boolean`cFiniteFieldCategory``970655
oprimitiveElement`0`x`()->_$`cFiniteFieldCategory``970899
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``971099
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``971385
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`971838
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``972192
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``972650
oprimitiveMonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`n`(_$)->List(_$)`cMaybeSkewPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`973030
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`973231
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`xUnivariateSkewPolynomialCategory&(S,R)``0
oprimitivePart`1`x`(_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`973304
oprimitivePart`1`x`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``973427
oprimitivePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`973550
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`973674
oprimitivePart`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`973873
oprimitiveRowEchelon`1`n`(_$)->Record(Ech:_$,Lt:Matrix(Fraction(D)),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`974040
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``974422
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``974456
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``974536
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)``974766
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``974804
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``974844
oprintCode`1`n`(_$)->Void`dFortranCode``974883
oprintHeader`0`n`()->Void`dTheSymbolTable``974951
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``975099
oprintHeader`2`n`(Symbol,_$)->Void`dTheSymbolTable``975245
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``975391
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
oprintStatement`1`n`(List(OutputForm))->_$`dFortranCode``975607
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``975686
oprintSys`1`n`(List(D))->OutputForm`dJetDifferentialEquation(JB,D)``975737
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``975891
oprintTypes`1`n`(_$)->Void`dSymbolTable``976012
oprint`1`n`(_$)->Void`dOutputForm``976133
oprint`1`x`(OutputForm)->Void`pPrintPackage``976182
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``976293
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``976413
oprocessTemplate`1`n`(FileName)->FileName`dFortranTemplate``976587
oprocessTemplate`2`n`(FileName,FileName)->FileName`dFortranTemplate``976714
oprod`1`n`(_$)->_$`dOutputForm``976827
oprod`2`n`(_$,_$)->_$`dOutputForm``976915
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``977035
oprodiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``977196
oproductFacet`2`n`(Integer,List(Record(left:NonNegativeInteger,right:NonNegativeInteger)))->_$`dProductFacet``977441
oproductFacet`2`n`(Integer,ProductFacet)->_$`dProductFacet``977478
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``977526
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``977634
oproduct`2`n`(_$,_$)->List(ProductFacet)`dOrientedFacet``977790
oproduct`2`n`(_$,_$)->_$`dCubicalFacet``978280
oproduct`2`n`(_$,_$)->_$`dFiniteCubicalComplex(VS)``978400
oproduct`2`n`(_$,_$)->_$`dFiniteSimplicialComplex(VS)``978447
oproduct`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``978931
oproduct`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``979039
oproduct`2`x`(_$,_$)->_$`cGradedAlgebra(R,E)``979195
oproduct`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``979682
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``979966
oproject`2`n`(_$,NonNegativeInteger)->_$`dJetDifferentialEquation(JB,D)``980054
oprojectionSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``980206
oprojection`1`n`(_$)->Union(_$,"failed")`dCell(TheField)``980268
oprojectiveSpace`1`n`(Integer)->DeltaComplex(VS)`pDeltaComplexFactory(VS)``980344
oprojectiveSpace`1`n`(Integer)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``980388
oprojectiveSpace`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``980682
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``980970
oprologue`1`n`(_$)->List(String)`dScriptFormulaFormat``981320
oprologue`1`n`(_$)->List(String)`dTexFormat``981408
oprolongMV`1`n`(Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger)))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``981488
oprolongSymbol`1`n`(SparseEchelonMatrix(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``981612
oprolong`1`n`(_$)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``981688
oprolong`2`n`(_$,NonNegativeInteger)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``981824
oprolong`2`n`(_$,NonNegativeInteger)->_$`dJetVectorField(JB,D)``981953
oproperties`1`x`(_$)->AssociationList(Symbol,None)`dBasicOperator``982081
oproperty`2`x`(_$,Symbol)->Union(None,"failed")`dBasicOperator``982182
oproposition`1`n`(String)->_$`dILogic``982311
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)`982343
opseudoDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``982542
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`982755
opseudoRem`3`n`(MPT,MPT,MD)->MPT`cModularAlgebraicGcdOperations(MP,MPT,MD)``982949
opseudoRemainder`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoRemainder`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Ring)`983052
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)``983300
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)``983429
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)``983582
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)``983736
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``983884
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)``984114
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``984291
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)``984533
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``984711
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``984954
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``985166
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``985425
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``985692
optree`1`x`(S)->_$`dPendantTree(S)``985794
optree`2`x`(_$,_$)->_$`dPendantTree(S)``985841
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``985883
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``986066
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``986136
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``986251
opuiseux`2`x`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``986496
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``986552
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``986726
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``986974
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``987220
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``987360
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``987704
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``987847
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``988046
opurge!`2`n`(_$,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``988197
opush!`2`x`(S,_$)->S`cStackAggregate(S)``988328
opushFortranOutputStack`1`n`(FileName)->Void`pFortranOutputStackPackage``988593
opushFortranOutputStack`1`n`(String)->Void`pFortranOutputStackPackage``988679
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``988765
opushdown`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``988813
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``988860
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``989006
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``989155
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``989299
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``989431
opushup`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``989477
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``989522
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``989676
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``989883
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``990332
oqShiftAction`4`n`(D,NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``990550
oqShiftC`2`n`(D,NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``990799
oqaddColumns!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``991132
oqaddColumns!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``991364
oqaddRows!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,F)->_$`dFreeDivisionAlgebra(VAR,F)``991524
oqaddRows!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``991635
oqcoerce`1`x`(Integer)->_$`dNonNegativeInteger``991804
oqcoerce`1`x`(Integer)->_$`dPositiveInteger``991897
oqcolumnIndices`2`n`(_$,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``991987
oqcolumnIndices`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``992144
oqcolumnIndices`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``992326
oqconvert`1`x`(Integer)->_$`dSingleInteger``992524
oqcumulant2nthmoment`3`n`(R,Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``992618
oqdiagonal?`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``992755
oqdiagonal`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``992887
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``993032
oqelt`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``993338
oqelt`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``993466
oqelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``993555
oqelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``993755
oqelt`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``993933
oqequal?`5`n`(_$,List(NonNegativeInteger),_$,List(NonNegativeInteger),NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``994078
oqinterval`2`x`(R,R)->_$`cIntervalCategory(R)``994192
oqlog`1`x`(_$)->_$`dDoubleFloat``994321
oqmultiplyColumn!`3`n`(_$,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``994413
oqmultiplyRow!`3`n`(_$,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``994499
oqnew`1`n`(Integer)->_$`dComplexDoubleFloatVector``994596
oqnew`1`n`(Integer)->_$`dDoubleFloatVector``994673
oqnew`1`n`(NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``994750
oqnew`2`n`(NonNegativeInteger,List(FreeMonoid(VAR)))->_$`dFreeDivisionAlgebra(VAR,F)``994816
oqnew`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``994889
oqnew`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``994965
oqnilpotent?`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``995092
oqregular?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``995232
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``995337
oqrowIndices`2`n`(_$,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``995434
oqrowIndices`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``995589
oqrowIndices`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``995768
oqscaleBlock!`7`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->_$`dLinearMultivariateMatrixPencil(R)``995919
oqsemizero?`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``996080
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`996239
oqsetelt!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``996457
oqsetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``996626
oqsetelt!`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``996812
oqsetfirst!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
oqsetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`996960
oqsetrest!`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oqsetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`997086
oqsqrt`1`x`(_$)->_$`dDoubleFloat``997202
oqswapColumns!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``997290
oqswapColumns!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``997394
oqswapRows!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``997538
oqswapRows!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``997636
oquadraticForm`1`x`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``997775
oquadraticNonResidue`0`n`()->_$`dInnerPrimeField(p)``997875
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``997999
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``998085
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``998126
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``998177
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``998216
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``998275
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``998479
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``998631
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``998806
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``998984
oquasiRegular?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``999065
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``999146
oquasiRegular`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``999217
oquatern`4`x`(R,R,R,R)->_$`cQuaternionCategory(R)``999288
oqueue`1`x`(List(S))->_$`dQueue(S)``999366
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``999531
oquoByVar`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``999656
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`dOutputForm``999923
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``999980
oquo`2`x`(_$,_$)->_$`dNonNegativeInteger``1000092
oquote`0`x`()->_$`dCharacter``1000189
oquote`1`n`(_$)->_$`dOutputForm``1000260
oquoted?`1`n`(_$)->Boolean`dPattern(R)``1000330
oquotedOperators`1`x`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``1000421
oquotientByP`1`x`(_$)->_$`cPAdicIntegerCategory(p)``1000648
oquotient`2`n`(_$,List(List(Integer)))->_$`dGroupPresentation``1000723
oquotient`2`n`(_$,List(NonNegativeInteger))->_$`dGroupPresentation``1000784
oquotient`2`x`(_$,DPoly)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1000848
oquotient`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1001003
oquppertriangular?`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1001110
oqzero?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1001262
oqzero?`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1001401
oqzero?`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1001513
oqzero?`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,FreeMonoid(VAR))->Boolean`dFreeDivisionAlgebra(VAR,F)``1001676
oqzero?`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1001832
oqzero?`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1001945
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`cJetBundleCategory``1002114
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`xJetBundleCategory&(S)``1002185
orCoord`1`n`(Point(R))->R`pPointPackage(R)``1002256
orabs`1`x`(Complex(DoubleFloat))->DoubleFloat`pFloatSpecialFunctions``1002527
orabs`1`x`(Complex(Float))->Float`pFloatEllipticFunctions``1002547
orabs`1`x`(Complex(Float))->Float`pFloatSpecialFunctions``1002568
orabs`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``1002588
orabs`1`x`(Float)->Float`pFloatEllipticFunctions``1002608
orabs`1`x`(Float)->Float`pFloatSpecialFunctions``1002629
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``1002649
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``1002777
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``1002931
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``1003132
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``1003313
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``1003551
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``1003706
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)``1003880
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1004198
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1004395
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1004561
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1004757
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1004935
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1005107
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1005303
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1005496
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)``1005723
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``1005791
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``1005876
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1006038
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1006105
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1006175
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``1006242
orandnum`0`x`()->Integer`pRandomNumberSource``1006345
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``1006410
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``1006480
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``1006544
orandomR`1`n`(Integer)->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1006600
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``1006660
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1006722
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1006852
orandom`1`x`(_$)->Permutation(S)`dPermutationGroup(S)``1006936
orandom`1`x`(_$)->_$`cIntegerNumberSystem``1007075
orandom`1`x`(_$)->_$`dInteger``1007146
orandom`1`x`(_$)->_$`dNonNegativeInteger``1007217
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1007288
orandom`2`x`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``1007465
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1007574
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``1007654
orange`1`x`(List(Segment(Float)))->_$`dDrawOption``1007773
orange`1`x`(List(Segment(Fraction(Integer))))->_$`dDrawOption``1007898
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``1008023
oranges`1`x`(List(Segment(Float)))->_$`dDrawOption``1008191
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``1008323
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``1008530
orank`0`n`()->PositiveInteger`cFramedModule(R)``1008785
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`n`()->PositiveInteger`xOctonionCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``1008837
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``1008891
orank`1`n`(List(Vector(R)))->NonNegativeInteger`dVectorSpaceBasis(R)``1008964
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1009026
orank`1`n`(_$)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``1009089
orank`1`n`(_$)->NonNegativeInteger`dVectorSpaceBasis(R)``1009234
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`1009341
orank`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`1009404
orank`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`1009467
orank`1`x`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``1009530
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``1009673
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``1009790
orarrow`2`n`(_$,_$)->_$`dOutputForm``1009907
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``1009982
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``1010120
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``1010238
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``1010379
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1010512
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1010836
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1011092
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1011416
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``1011672
oratexprInverse`2`n`(_$,Boolean)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1011800
oratexpr`1`n`(_$)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1012004
orational?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
orational?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
orational?`1`x`(S)->Boolean`pRationalRetractions(S)``1012132
orational?`1`x`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`1012239
orational?`1`x`(_$)->Boolean`cIntegerNumberSystem``1012306
orational?`1`x`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1012407
orational?`1`x`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1012523
orational?`1`x`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`1012719
orational?`1`x`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1012839
orational?`1`x`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1012913
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1012987
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``1013124
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1013261
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``1013441
orationalFunction`2`x`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1013619
orationalFunction`3`x`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1013763
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)``1013930
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`1014049
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``1014171
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1014276
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1014391
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`1014616
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1014726
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1014838
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``1014951
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1015034
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``1015117
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`1015200
orationalPower`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``1015283
orational_reconstruction`1`n`(_$)->Union(Record(numers:PrimitiveArray(Integer),denoms:PrimitiveArray(Integer)),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`1`n`(_$)->Union(Record(numers:PrimitiveArray(U32Vector),denoms:PrimitiveArray(U32Vector)),"failed")`dVectorModularReconstructor``1015381
orational_reconstruction`4`n`(Integer,Integer,Integer,Integer)->Union(Record(num:Integer,den:Integer),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`4`n`(U32Vector,U32Vector,Integer,Integer)->Union(Record(numer:U32Vector,denom:U32Vector),"failed")`dVectorModularReconstructor``1015475
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`(S)->Fraction(Integer)`pRationalRetractions(S)``1015512
orational`1`x`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`1015621
orational`1`x`(_$)->Fraction(Integer)`cIntegerNumberSystem``1015731
orational`1`x`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1015818
orational`1`x`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1015938
orational`1`x`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`1016149
orational`1`x`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1016309
orational`1`x`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1016426
orationalize_ir`2`n`(IntegrationResult(F),Kernel(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``1016541
oratpart`1`n`(_$)->F`dIntegrationResult(F)``1016643
oravel`1`x`(_$)->List(R)`dCartesianTensor(minix,dim,R)``1016720
orc`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``1016841
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``1016880
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)``1016929
oread!`1`x`(_$)->S`cFileCategory(Name,S)``1017002
oreadIfCan!`1`x`(_$)->Union(S,"failed")`dFile(S)``1017166
oreadIfCan!`1`x`(_$)->Union(SingleInteger,"failed")`dBinaryFile``1017361
oreadIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``1017556
oreadLine!`1`x`(_$)->String`dTextFile``1017769
oreadLineIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``1017863
oreadable?`1`x`(_$)->Boolean`cFileNameCategory``1018080
oreal?`1`n`(_$)->Boolean`dFortranScalarType``1018171
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``1018257
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``1018322
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``1018387
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``1018603
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1018889
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1019045
orealLiouvillian`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1019240
orealLiouvillian`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1019513
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``1019803
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``1019922
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1020242
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1020338
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1020618
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``1020724
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1020935
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1021052
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1021975
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1022106
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1022237
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1022398
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1022559
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1022755
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1022951
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1023180
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``1023409
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``1023503
oreal`1`x`(_$)->R`cComplexCategory(R)``1023597
oreal`1`x`(_$)->R`cOctonionCategory(R)``1023650
oreal`1`x`(_$)->R`cQuaternionCategory(R)``1023713
orecip`0`n`()->_$`dMoebiusTransform(F)``1023782
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`(Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``1023889
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1023992
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``1024029
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``1024066
orecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1024110
orecip`1`x`(_$)->Union(_$,"failed")`cMagmaWithUnit``1024343
orecip`1`x`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,bLin)``1024545
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)``1024659
orecip`2`x`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1024832
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``1024922
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``1025092
oreconstruct`2`n`(_$,Vector(Integer))->Union(PrimitiveArray(Integer),"failed")`dVectorIntegerReconstructor``1025190
oreconstruct`5`n`(_$,Integer,Vector(Integer),Vector(Integer),SortedExponentVector)->Union(Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed")`dVectorModularReconstructor``1025277
oreconstruct`7`n`(Integer,Vector(Integer),Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1025341
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``1025444
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``1025569
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``1025692
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,Dpol)``1025768
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1025802
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1025837
ored_pol`2`n`(U32Vector,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->Void`pModularFactorization``0
ored`0`x`()->_$`dColor``1026030
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``1026103
oredpps`2`n`(Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))),List(GR))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``1026243
oreduceBasis0`4`n`(TwoDimensionalArray(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``0
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``1026360
oreduceBasis`4`n`(Vector(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``1026525
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1026641
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``1026756
oreduceLODE`2`n`(LO,List(A))->Record(mat:Matrix(L),vecs:List(Vector(F)))`pReduceLODE(F,L,UP,A,LO)``1027115
oreduceMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oreduceMod`2`n`(List(_$),List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1027372
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``1027472
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)->_$`dModMonic(R,Rep)``1027559
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``1027597
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(_$)->_$`dJetBundleExpression(JB)``1027747
oreduce`1`n`(_$)->_$`dJetBundleXExpression(JB)``1027803
oreduce`1`x`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`1027863
oreduce`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``1027947
oreduce`1`x`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``1028100
oreduce`1`x`(_$)->_$`dAlgebraicNumber``1028231
oreduce`1`x`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`1028360
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`n`(R,List(R))->Record(poly:R,repr:Vector(R),mult:C)`pExtendedPolynomialReduction(C,E,R)``1028492
oreduce`2`n`(R,Mod)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1028668
oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``1028711
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``1028754
oreduce`2`x`((S,S)->S,_$)->S`cCollection(S)`has(_$,finiteAggregate)`1028797
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)``1029127
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``1029296
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``1029689
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``1030043
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``1030391
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1030560
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1030918
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``1031066
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``1031408
oreduce`3`x`((S,S)->S,_$,S)->S`cCollection(S)`has(_$,finiteAggregate)`1031742
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``1032142
oreduce`4`n`((P,P)->P,S,P,P)->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`n`(P,S,(P,P)->P,(P,P)->Boolean)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`x`((S,S)->S,_$,S,S)->S`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1032375
oreduce`4`x`(P,_$,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``1032764
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``1033328
oreduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1033447
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`x`(P,_$,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``1033541
oreducedContinuedFraction`2`x`(R,Stream(R))->_$`dContinuedFraction(R)``1033774
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``1034103
oreducedForm`1`x`(_$)->_$`dContinuedFraction(R)``1034155
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``1034415
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`x`(Matrix(_$))->Matrix(R)`cLinearlyExplicitOver(R)``1034585
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)``1034723
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)``1034883
oreducedSystem`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(mat:Matrix(F),vec:Vector(F))`pConstantLinearDependence(R,F)``1035048
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``1035244
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``1035408
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``1035519
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`1`n`(_$)->_$`cSolvableSkewPolynomialCategory(R,Expon)``1035606
oreductum`1`n`(_$)->_$`dAntiSymm(R,lVar)``1035717
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``1035902
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1036083
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``1036123
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``1036163
oreductum`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``1036272
oreductum`1`x`(_$)->_$`cIndexedDirectProductCategory(A,S)`has(S,Comparable)`1036383
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``1036550
oredux`1`n`(_$)->_$`dILogic``1036682
oredux`1`n`(_$)->_$`dLambda(UT)``1036836
oredux`1`n`(_$)->_$`dLatticeJoinOfMeets``1036907
oredux`1`n`(_$)->_$`dLatticeMeetOfJoins``1036940
oredux`1`n`(_$)->_$`dSKICombinators(UT)``1036973
oref`1`n`(S)->_$`dReference(S)``1037085
orefactorIndexes`2`n`(_$,NonNegativeInteger)->_$`dFiniteSimplicialComplex(VS)``1037160
orefactorIndexes`2`n`(_$,NonNegativeInteger)->_$`dOrientedFacet``1037256
orefactor`1`n`(_$)->_$`dGroupPresentation``1037356
orefine!`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``1037578
orefine!`2`n`(_$,Boolean)->_$`dFreeDivisionAlgebra(VAR,F)``1037649
orefineUR!`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``1037836
orefineUR!`2`n`(_$,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1037964
orefine`1`n`(_$)->_$`dPlot3D``1038092
orefine`1`n`(_$)->_$`dPlot``1038130
orefine`1`x`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1038197
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``1038278
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``1038697
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``1038742
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1038785
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``1038828
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``1039011
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``1039194
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``1039502
orefined?`1`n`(_$)->Boolean`dFreeDivisionAlgebra(VAR,F)``1039810
orefinementEquations`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1039878
orefinementGroebner`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1039998
orefinementSolve`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``1040293
orefinementTransformations`4`n`(_$,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``1040545
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)``1040652
oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1041511
oregular?`1`n`(_$)->Boolean`dFreeDivisionAlgebra(VAR,F)``1041793
oregularRepresentation`1`n`(G)->Matrix(Integer)`pFiniteGroupPackage(G)``1041850
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``1041967
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1042205
oreindex`1`n`(_$)->_$`dOrientedFacet``1042477
oreindex`2`x`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``1042546
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeal(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`1042832
orelationsInGenerators`1`x`(_$)->List(List(Integer))`dPermutationGroup(S)``1042944
orelationsInStrongGenerators`1`x`(_$)->List(List(Integer))`dPermutationGroup(S)``1043023
orelativeApprox`2`x`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``1043115
orelativeApprox`3`x`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1043223
orelativeApprox`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``1043351
orelerror`2`x`(_$,_$)->_$`dFloat``1043481
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`dOutputForm``1043584
orem`2`x`(_$,_$)->_$`cEuclideanDomain``1043641
orem`2`x`(_$,_$)->_$`dNonNegativeInteger``1043754
oremainder!`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``1043824
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`x`(P,_$)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1043852
oremap_variables`3`n`(SparseMultivariatePolynomial(R,VarSet1),List(VarSet1),List(VarSet2))->SparseMultivariatePolynomial(R,VarSet2)`pSparsePolynomialCoercionHelpers(R,VarSet1,VarSet2)``1044157
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``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`xListAggregate&(A,S)``0
oremove!`2`n`(Key,S)->Union(Entry,"failed")`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`xDictionary&(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`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``1044389
oremove!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`1044455
oremove!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``1044598
oremove!`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1044722
oremove!`2`x`(S,_$)->_$`cDictionaryOperations(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1044914
oremove!`2`x`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,BasicType)`1045043
oremove!`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``1045130
oremove!`3`x`(S,_$,Integer)->_$`dMultiset(S)``1045431
oremoveChild!`2`n`(_$,_$)->Void`dScene(PT)``1045684
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`1045785
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1045897
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1046074
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,BasicType)`1046255
oremoveDuplicates!`1`x`(_$)->_$`cMultiDictionary(S)``1046338
oremoveDuplicates`1`n`(A)->A`xCollection&(A,S)``0
oremoveDuplicates`1`n`(A)->A`xExtensibleLinearAggregate&(A,S)``0
oremoveDuplicates`1`x`(_$)->_$`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1046440
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1046530
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1046823
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1047172
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1047493
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1048184
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1048474
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1048765
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1048870
oremoveRepeats!`1`n`(_$)->_$`dIndexedFlexibleArray(S,mn)``1049087
oremoveRepeats!`1`x`(_$)->_$`dFlexibleArray(S)``0
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1049209
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``1049553
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1049707
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1049997
oremoveRowsColumns`3`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger))->_$`dFreeDivisionAlgebra(VAR,F)``1050277
oremoveRowsColumns`3`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger))->_$`dLinearMultivariateMatrixPencil(R)``1050452
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1050608
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1050785
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1050966
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``1051127
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1051232
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``1051337
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1051516
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1051695
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``1051959
oremoveZeroes`1`x`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1052523
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``1053062
oremoveZeroes`2`x`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1053177
oremoveZeros`2`n`(_$,Expon)->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``1053644
oremove_denoms`3`n`(Vector(Integer),PrimitiveArray(Integer),PrimitiveArray(Integer))->PrimitiveArray(Integer)`dVectorIntegerReconstructor``1053753
oremove_denoms`4`n`(Vector(Integer),PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->PrimitiveArray(U32Vector)`dVectorModularReconstructor``1053797
oremove`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oremove`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(S,A)->A`xCollection&(A,S)``0
oremove`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``1054139
oremove`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`1054331
oremove`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``1054513
oremove`2`x`(S,_$)->_$`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1054706
oremove`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``1054862
oremove`3`x`(S,_$,Integer)->_$`dMultiset(S)``1055148
orename!`2`x`(_$,OutputForm)->_$`cRealClosedField``1055386
orename`2`x`(_$,OutputForm)->_$`cRealClosedField``1055455
oreopen!`2`x`(_$,String)->_$`cFileCategory(Name,S)``1055526
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``1055719
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``1055863
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``1056007
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1056151
orepack1`4`n`(MPT,U32Vector,Integer,MD)->Void`cModularAlgebraicGcdOperations(MP,MPT,MD)``1056284
orepack_polys`4`n`(Integer,Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector))->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1056442
orepeatUntilLoop`2`n`(Switch,_$)->_$`dFortranCode``1056645
orepeatedIndex`1`n`(S)->List(PositiveInteger)`xJetBundleCategory&(S)``0
orepeatedIndex`1`n`(_$)->List(PositiveInteger)`cJetBundleCategory``1056727
orepeating?`2`x`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`1056841
orepeating`1`x`(List(S))->_$`dStream(S)``1056979
oreplaceDiffs`3`n`(F,BasicOperator,Symbol)->F`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``1057063
oreplace`3`x`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``1057264
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``1057372
orepresentation`1`n`(_$)->List(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1057529
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
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`1`n`(Vector(R))->_$`cFramedModule(R)``1057642
orepresents`1`x`(Vector(F))->_$`cFiniteAlgebraicExtensionField(F)``1057796
orepresents`2`n`(Vector(Fraction(UP)),Vector(S))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``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)``1057950
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``1058049
orepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``1058173
oreseed`1`x`(Integer)->Void`pRandomNumberSource``1058277
oresetBadValues`1`n`(_$)->_$`dPattern(R)``1058351
oresetNew`0`x`()->Void`dSymbol``1058511
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``1058638
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``1058762
oreset`1`x`(_$)->Void`dThreeDimensionalViewport``1058978
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``1059198
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``1059321
oresize`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``1059572
orest`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
orest`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`1`n`(S)->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
orest`1`n`(_$)->_$`dFreeMagma(VarSet)``1059827
orest`1`n`(_$)->_$`dFreeMonoid(S)``1059964
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``1060028
orest`1`x`(_$)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``1060105
orest`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1060269
orest`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
orest`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``1060409
oresult`1`n`(_$)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``1060508
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1060713
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1060824
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1060983
oresultantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``1061077
oresultant`2`x`(_$,_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`1061156
oresultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1061252
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`n`(U32Vector,U32Vector,Integer)->Integer`pU32VectorPolynomialOperations``1061466
oresultant`3`x`(_$,_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`1061568
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(_$,"failed")`cFortranFunctionCategory``1061707
oretractIfCan`1`n`(Expression(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1061836
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`cFortranFunctionCategory``1062178
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1062307
oretractIfCan`1`n`(Expression(R))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1062649
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``1062991
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`cFortranFunctionCategory``1063035
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1063164
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`cFortranFunctionCategory``1063506
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1063635
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(_$,"failed")`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1063977
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(_$,"failed")`dJetBundleXExpression(JB)``1064065
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Matrix(Expression(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1064187
oretractIfCan`1`n`(Matrix(Expression(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1064316
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1064445
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1064574
oretractIfCan`1`n`(Matrix(Polynomial(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1064703
oretractIfCan`1`n`(Matrix(Polynomial(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1064832
oretractIfCan`1`n`(Polynomial(Float))->Union(_$,"failed")`cFortranFunctionCategory``1064961
oretractIfCan`1`n`(Polynomial(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1065090
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`cFortranFunctionCategory``1065432
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1065561
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xFunctionSpace&(S,R)``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")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xFunctionSpace&(S,R)``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(Kernel(S),"failed")`xExpressionSpace&(S)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Polynomial(R),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xFunctionSpace&(S,R)``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")`xFunctionSpace&(S,R)``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(V,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(VarSet,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(_$,"failed")`cRetractableFrom(S)``1065903
oretractIfCan`1`n`(Symbol)->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1066041
oretractIfCan`1`n`(Vector(Expression(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1066315
oretractIfCan`1`n`(Vector(Expression(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1066444
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranVectorFunctionCategory``1066573
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranVectorFunctionCategory``1066702
oretractIfCan`1`n`(Vector(Polynomial(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1066831
oretractIfCan`1`n`(Vector(Polynomial(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1066960
oretractIfCan`1`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``1067089
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1067255
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1067382
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1067509
oretractIfCan`1`x`(_$)->Union(S,"failed")`cRetractableTo(S)``1067636
oretract`1`n`(A)->Fraction(Integer)`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Fraction(Integer)`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->Integer`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Integer`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xDifferentialVariableCategory&(A,S)``0
oretract`1`n`(A)->S`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->S`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xRetractableTo&(A,S)``0
oretract`1`n`(A)->Symbol`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(Expression(Float))->_$`cFortranFunctionCategory``1067786
oretract`1`n`(Expression(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1067910
oretract`1`n`(Expression(Integer))->_$`cFortranFunctionCategory``1068239
oretract`1`n`(Expression(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1068363
oretract`1`n`(Expression(R))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1068692
oretract`1`n`(Fraction(Polynomial(Float)))->_$`cFortranFunctionCategory``1069021
oretract`1`n`(Fraction(Polynomial(Float)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1069145
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`cFortranFunctionCategory``1069474
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1069598
oretract`1`n`(JetBundleExpression(JB))->_$`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1069927
oretract`1`n`(JetBundleExpression(JB))->_$`dJetBundleXExpression(JB)``1070054
oretract`1`n`(Matrix(Expression(Float)))->_$`cFortranMatrixFunctionCategory``1070181
oretract`1`n`(Matrix(Expression(Integer)))->_$`cFortranMatrixFunctionCategory``1070305
oretract`1`n`(Matrix(Fraction(Polynomial(Float))))->_$`cFortranMatrixFunctionCategory``1070429
oretract`1`n`(Matrix(Fraction(Polynomial(Integer))))->_$`cFortranMatrixFunctionCategory``1070553
oretract`1`n`(Matrix(Polynomial(Float)))->_$`cFortranMatrixFunctionCategory``1070677
oretract`1`n`(Matrix(Polynomial(Integer)))->_$`cFortranMatrixFunctionCategory``1070801
oretract`1`n`(Polynomial(Float))->_$`cFortranFunctionCategory``1070925
oretract`1`n`(Polynomial(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1071049
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->_$`cFortranFunctionCategory``1071378
oretract`1`n`(Polynomial(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1071502
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)->Fraction(Integer)`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xFunctionSpace&(S,R)``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))`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Integer`xFunctionSpace&(S,R)``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)->Kernel(S)`xExpressionSpace&(S)``0
oretract`1`n`(S)->Kernel(S)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Polynomial(R)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xComplexCategory&(S,R)``0
oretract`1`n`(S)->R`xFunctionSpace&(S,R)``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`xFunctionSpace&(S,R)``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)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->VarSet`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->_$`cRetractableFrom(S)``1071831
oretract`1`n`(Symbol)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1071954
oretract`1`n`(Vector(Expression(Float)))->_$`cFortranVectorFunctionCategory``1072215
oretract`1`n`(Vector(Expression(Integer)))->_$`cFortranVectorFunctionCategory``1072339
oretract`1`n`(Vector(Fraction(Polynomial(Float))))->_$`cFortranVectorFunctionCategory``1072463
oretract`1`n`(Vector(Fraction(Polynomial(Integer))))->_$`cFortranVectorFunctionCategory``1072587
oretract`1`n`(Vector(Polynomial(Float)))->_$`cFortranVectorFunctionCategory``1072711
oretract`1`n`(Vector(Polynomial(Integer)))->_$`cFortranVectorFunctionCategory``1072835
oretract`1`n`(_$)->List(D)`dJetDifferentialEquation(JB,D)``1072959
oretract`1`x`(Any)->S`pAnyFunctions1(S)``1073050
oretract`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1073214
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1073381
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1073548
oretract`1`x`(_$)->S`cRetractableTo(S)``1073715
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``1073850
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``1073956
oretractable?`1`n`(_$)->Boolean`dFreeMagma(VarSet)``1074083
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``1074162
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``1074241
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``1074337
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1074435
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1074559
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``1074686
oreturnTypeOf`2`n`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``1074813
oreturns`0`n`()->_$`dFortranCode``1074902
oreturns`1`n`(Expression(Complex(Float)))->_$`dFortranCode``1074982
oreturns`1`n`(Expression(Float))->_$`dFortranCode``1075085
oreturns`1`n`(Expression(Integer))->_$`dFortranCode``1075188
oreturns`1`n`(Expression(MachineComplex))->_$`dFortranCode``1075291
oreturns`1`n`(Expression(MachineFloat))->_$`dFortranCode``1075394
oreturns`1`n`(Expression(MachineInteger))->_$`dFortranCode``1075497
oreverse!`1`n`(A)->A`xListAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oreverse!`1`n`(_$)->_$`dListMonoidOps(S,E,un)``1075600
oreverse!`1`x`(_$)->_$`cDequeueAggregate(S)``1075710
oreverse!`1`x`(_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable))`1075883
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1075962
oreverse`1`n`(A)->A`xLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1076159
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``1076228
oreverse`1`x`(_$)->_$`cLinearAggregate(S)`has(_$,finiteAggregate)`1076447
oreverse`1`x`(_$)->_$`cSegmentCategory(S)`has(S,OrderedRing)`1076531
oreverse`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``1076599
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``1076705
orevert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``1076892
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1077087
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1077393
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1077796
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1078080
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),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``1078677
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``1079505
orhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``1079561
orhs`1`x`(_$)->S`dEquation(S)``1079632
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1079707
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1079821
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1079935
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1080156
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1080323
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1080544
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1080711
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1080985
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``1081259
oriemannZeta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1081314
oriemannZeta`1`x`(_$)->_$`cSpecialFunctionCategory``1081372
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``1081431
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``1081658
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``1081885
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``1082045
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``1082418
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``1082791
orightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1083107
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`1083317
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1083574
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1083685
orightFactorIfCan`3`x`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``1083808
orightFactor`2`n`(_$,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1084098
orightFamily`1`n`(_$)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``1084253
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1084316
orightIdentity`1`n`(_$)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1084557
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1084623
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1084825
orightMinimization`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1085061
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``1085241
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``1085370
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`1085470
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`1085529
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``1085588
orightPower`2`x`(_$,PositiveInteger)->_$`cMagma``1085787
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1085986
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`1086181
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``1086279
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`1086520
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1086761
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
orightRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1086928
orightRecip`1`x`(_$)->Union(_$,"failed")`cMagmaWithUnit``1087150
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1087341
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)``1087515
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1087821
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``1088017
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``1088214
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1088504
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1088794
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``1089010
orightTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
orightTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1089105
orightTrim`2`x`(_$,S)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1089303
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1089489
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``1089616
orightUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1089741
orightZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`1089867
oright_ext_ext_GCD`2`n`(S,S)->Record(generator:S,coef1:S,coef2:S,coefu:S,coefv:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oright_ext_ext_GCD`2`x`(_$,_$)->Record(generator:_$,coef1:_$,coef2:_$,coefu:_$,coefv:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1089926
oright`1`n`(_$)->_$`dFreeMagma(VarSet)``1090165
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``1090297
oright`1`n`(_$)->_$`dOutputForm``1090430
oright`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1090499
oright`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``1090574
oright`2`n`(_$,Integer)->_$`dOutputForm``1090622
orischDEsys`7`n`(Integer,F,F,F,Symbol,(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"),(F,F)->Union(Record(ratpart:F,coeff:F),"failed"))->Union(List(F),"failed")`pElementaryRischDESystem(R,F)``1090712
orischNormalize`2`x`(F,List(Symbol))->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1091048
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1091129
orischNormalize`2`x`(List(F),List(Symbol))->Record(funcs:List(F),kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1091433
orisch_de_ext`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``1091662
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1091943
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1092601
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1092876
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1093221
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``1093733
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``1094260
ormap`2`x`((Kernel(F))->F,F)->F`pElementaryFunctionStructurePackage(R,F)``1094745
oroman`1`x`(Integer)->_$`dRomanNumeral``1094855
oroman`1`x`(Symbol)->_$`dRomanNumeral``1094916
oromberg`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1094984
orombergo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1095690
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``1096390
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1096427
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)))`1096524
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)))`1096761
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``1096834
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``1097041
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(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`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1097291
orootOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1097415
orootOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1097483
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1097607
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`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`x`(SparseUnivariatePolynomial(_$),PositiveInteger)->Union(_$,"failed")`cRealClosedField``1097723
orootOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1097835
orootOf`2`x`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1097951
orootOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1098042
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``1098158
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``1098278
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1098451
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1098607
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``1098836
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``1099051
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1099177
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``1099404
orootSum`3`n`(F,SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1099631
orootSum`3`x`(_$,SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``0
oroot`1`n`(_$)->_$`dOutputForm``1099669
oroot`2`n`(_$,_$)->_$`dOutputForm``1099744
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``1099828
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`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1099959
orootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1100245
orootsOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1100475
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
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`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1100766
orootsOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1101014
orotate!`1`x`(_$)->_$`cQueueAggregate(S)``1101262
orotate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1101458
orotate`3`x`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``1101701
orotatex`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1102063
orotatey`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1102161
orotatez`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1102259
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1102357
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1102515
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)`1102631
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)`1102823
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1103040
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(_$)->_$`cRealNumberSystem``1103172
orouteArrowWeight`2`n`(_$,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1103236
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`(_$,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1103343
orouteNodeWeight`2`n`(_$,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1103550
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`(_$,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1103656
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1103861
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1104029
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1104136
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1104326
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1104459
orowEchelon`1`n`(Matrix(LO))->Matrix(LO)`pOrePolynomialMatrixOperations(F,LO)``1104540
orowEchelon`1`n`(_$)->Record(Ech:_$,Lt:Matrix(D),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)``1104621
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1104923
orowEchelon`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`1105004
orowEchelon`1`x`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`1105085
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1105166
orowEchelon`3`n`(Matrix(LO),F,List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pOrePolynomialMatrixOperations(F,LO)``1105459
orowMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``1105682
orowSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orowSlice`1`x`(_$)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``1105790
orowSpan`1`n`(_$)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1105938
orow_operation_base`6`n`(M,Integer,Integer,Integer,Integer,R)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1106093
orow_operation_modular`7`n`(M,Integer,Integer,Integer,Integer,R,Integer)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1106161
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`n`(_$,Integer)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``1106232
orow`2`x`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1106317
orow`2`x`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1106443
orows`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1106562
orows`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1106655
orquo`2`n`(_$,S)->Union(_$,"failed")`dFreeMonoid(S)``1106748
orquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``1106833
orquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1107028
orquo`2`x`(_$,FreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``1107113
orquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``1107198
orquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``1107283
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1107381
orspace`2`n`(Integer,Integer)->_$`dOutputForm``1107478
orst`1`x`(_$)->_$`cLazyStreamAggregate(S)``1107574
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1107767
orule`2`x`(F,F)->_$`dRewriteRule(Base,R,F)``1110396
orule`3`x`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``1110541
orules`1`x`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1110937
oruleset`1`x`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``1111001
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1111089
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1111154
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1112300
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1112784
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1112941
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1112974
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1112986
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1113121
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1113272
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1113427
osafety`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``1113626
osafety`1`x`(NonNegativeInteger)->_$`dGuessOption``1113693
osameFace?`2`n`(_$,_$)->Boolean`dCubicalFacet``1113847
osameFace?`2`n`(_$,_$)->Boolean`dOrientedFacet``1113934
osamplePoint`1`n`(_$)->List(TheField)`dCell(TheField)``1114020
osamplePoint`1`n`(_$)->TheField`dSimpleCell(TheField,ThePols)``1114086
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMagmaWithUnit&(S)``0
osample`0`x`()->_$`cAbelianMonoid``1114152
osample`0`x`()->_$`cAggregate``1114199
osample`0`x`()->_$`cMagmaWithUnit``1114246
osample`0`x`()->_$`dCartesianTensor(minix,dim,R)``1114293
osample`0`x`()->_$`dSymbol``1114346
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1114392
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1114504
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1114649
osaturate`2`x`(_$,DPoly)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1114883
osaturate`3`x`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1115031
osave`0`n`()->_$`dFortranCode``1115200
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1115267
osayLength`1`x`(String)->Integer`pDisplayPackage``1115358
osay`1`x`(List(String))->Void`pDisplayPackage``1115440
osay`1`x`(String)->Void`pDisplayPackage``1115505
oscalar?`1`n`(_$)->Boolean`dFreeDivisionAlgebra(VAR,F)``1115561
oscalar?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1115606
oscalarMatrix`1`x`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``1115675
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``1115805
oscalarTypeOf`1`n`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``1115940
oscaleALS`2`n`(_$,F)->_$`dFreeDivisionAlgebra(VAR,F)``1116012
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1116120
oscale`1`n`(F)->_$`dMoebiusTransform(F)``1116224
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``1116332
oscale`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1116433
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1116552
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1116872
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1117568
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1117800
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1118217
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1118548
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1118873
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1119105
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1119429
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1119753
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1119948
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1120057
oscreenCoordX`1`n`(_$)->DoubleFloat`cSPointCategory``1120317
oscreenCoordY`1`n`(_$)->DoubleFloat`cSPointCategory``1120405
oscreenCoordZ`1`n`(_$)->DoubleFloat`cSPointCategory``1120493
oscreenCoords`1`n`(_$)->List(DoubleFloat)`cSPointCategory``1120583
oscreenResolution3D`0`n`()->Integer`dPlot3D``1120652
oscreenResolution`0`n`()->Integer`dPlot``1120733
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1120796
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1120869
oscript`2`x`(_$,List(List(OutputForm)))->_$`dSymbol``1120943
oscript`2`x`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``1121299
oscripted?`1`x`(_$)->Boolean`dSymbol``1121500
oscripts`1`x`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1121582
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``1121644
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1121866
osearch`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1121925
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1122133
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1122231
osec`1`n`(F)->F`pElementaryFunction(R,F)``1122318
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)``1122379
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1122446
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1122513
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1122581
osec`1`x`(_$)->_$`cTrigonometricFunctionCategory``1122651
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1122704
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1122806
osech`1`n`(F)->F`pElementaryFunction(R,F)``1122895
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)``1122968
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1123051
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1123134
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1123214
osech`1`x`(_$)->_$`cHyperbolicFunctionCategory``1123296
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`n`(_$)->B`dProduct(A,B)``1123361
osecond`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1123425
oseed`0`x`()->Integer`pRandomNumberSource``1123530
osegment`1`x`(S)->_$`dUniversalSegment(S)``1123583
osegment`1`x`(_$)->Segment(S)`dSegmentBinding(S)``1123665
osegment`2`x`(S,S)->_$`cSegmentCategory(S)``1123869
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`1123954
oselect!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``1124101
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1124217
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1124466
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1124713
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`xExtensibleLinearAggregate&(A,S)``0
oselect`2`n`(S,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`(_$,NonNegativeInteger)->S`dTuple(S)``1124918
oselect`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`1125017
oselect`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``1125190
oselect`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``1125369
oselect`2`x`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``1125436
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1125544
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1125755
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1125906
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1126115
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1126313
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1126428
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1126583
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1126744
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1126960
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``1127216
osendGraphImage`1`n`(_$)->Void`dGraphImage``1127319
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``1127602
oseparateDegrees`1`x`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``1127727
oseparateFactors`1`x`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``1127879
oseparateFactors`2`x`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``1128045
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1128229
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``1128269
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`x`(_$,_$)->Record(primePart:_$,commonPart:_$)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`1128435
osequence`1`n`(Stream(R))->_$`cSequenceCategory(R)``1128572
osequence`2`n`((R)->R,R)->_$`cSequenceCategory(R)``1128640
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1128794
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1129010
oseriesSolve`2`n`((UTSSMPF)->UTSSMPF,List(F))->UTSF`pTaylorSolve(F,UTSF,UTSSMPF)``0
oseriesSolve`4`n`(F,BasicOperator,Symbol,List(F))->UTSF`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1129382
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1129631
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1129742
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1130178
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1130299
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1130418
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1130567
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1131002
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1131221
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1131460
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1131667
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``1131775
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``1132205
oseries`1`n`(Stream(SMP))->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``1132404
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1132477
oseries`1`x`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``1132658
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``1132758
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``1132957
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1133156
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1133217
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1133304
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1133410
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``1133653
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1133966
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1134163
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1134328
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1134414
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1134660
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1134851
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``1135095
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1135214
osetArr`2`n`(_$,List(List(Boolean)))->Void`cPoset(S)``1135327
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1135373
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``1135496
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1135671
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``1135759
osetDifference`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1135907
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``1136081
osetEpilogue!`2`n`(_$,List(String))->List(String)`dScriptFormulaFormat``1136149
osetEpilogue!`2`n`(_$,List(String))->List(String)`dTexFormat``1136259
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1136361
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1136657
osetFormula!`2`n`(_$,List(String))->List(String)`dScriptFormulaFormat``1136848
osetGcdMode`1`n`(Symbol)->Symbol`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`1136956
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1137138
osetIntersection`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1137289
osetLabelValue`1`n`(SingleInteger)->SingleInteger`dFortranCode``1137471
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1137555
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1137644
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1137730
osetMinPoints`1`n`(Integer)->Integer`dPlot``1137819
osetMode`2`x`(String,Boolean)->Boolean`dCliffordAlgebra(n,K,bLin)``1137905
osetMult!`2`n`(_$,Integer)->_$`dOrientedFacet``1137980
osetMult!`2`n`(_$,Integer)->_$`dProductFacet``1138011
osetMult`2`n`(_$,Integer)->_$`dCubicalFacet``1138042
osetNotation`1`n`(Symbol)->Symbol`cJetBundleCategory``1138073
osetNotation`1`n`(Symbol)->Void`cJetBundleFunctionCategory(JB)``0
osetNotation`1`n`(Symbol)->Void`xJetBundleFunctionCategory&(S,JB)``0
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``1138168
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1138343
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1138708
osetOutMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1139162
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1139769
osetPosition`2`x`(_$,NonNegativeInteger)->Void`cCachableSet``1139808
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1139887
osetPrologue!`2`n`(_$,List(String))->List(String)`dScriptFormulaFormat``1140007
osetPrologue!`2`n`(_$,List(String))->List(String)`dTexFormat``1140117
osetProperties`2`x`(_$,AssociationList(Symbol,None))->_$`dBasicOperator``1140219
osetProperty`3`x`(_$,Symbol,None)->_$`dBasicOperator``1140385
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1140580
osetRedMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1140726
osetRefined!`2`n`(_$,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1141036
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`n`(_$,Integer,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``1141179
osetRow!`3`x`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1141301
osetRow!`4`n`(_$,Integer,List(C),List(D))->Void`dSparseEchelonMatrix(C,D)``1141383
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1141535
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1141629
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``1141705
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1141985
osetSimplifyDenomsFlag`1`x`(Boolean)->Boolean`dExpression(R)`has(R,IntegralDomain)`1142102
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``1142292
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1142434
osetTex!`2`n`(_$,List(String))->List(String)`dTexFormat``1142790
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``1142882
osetTransform!`2`n`(_$,STransform(PT))->Void`dScene(PT)``1143021
osetUnion`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1143119
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``1143290
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1143430
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1143571
osetVert`2`n`(_$,List(S))->Void`cPoset(S)``1143761
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->_$`cSetAggregate(S)``1143811
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->_$`cSetAggregate(S)``1143890
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1144012
osetelt!`2`n`(_$,S)->S`dReference(S)``1144147
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,"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,"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`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt!`3`n`(A,Integer,S)->S`xStreamAggregate&(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`(_$,NonNegativeInteger,F)->F`dFreeDivisionAlgebra(VAR,F)``1144231
osetelt!`3`x`(_$,"first",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1144326
osetelt!`3`x`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1144446
osetelt!`3`x`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1144563
osetelt!`3`x`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1144679
osetelt!`3`x`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1144796
osetelt!`3`x`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1144915
osetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`1145033
osetelt!`3`x`(_$,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1145223
osetelt!`3`x`(_$,Symbol,Any)->Any`dLibrary``1145342
osetelt!`3`x`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,shallowlyMutable)`1145469
osetelt!`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(_$,Integer,C,D)->Void`dSparseEchelonMatrix(C,D)``1145763
osetelt!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``1145918
osetelt!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,XDistributedPolynomial(VAR,F))->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``1146086
osetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1146276
osetelt!`4`x`(_$,Integer,List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1146458
osetelt!`4`x`(_$,Integer,List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1146584
osetelt!`4`x`(_$,List(Integer),Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1146799
osetelt!`4`x`(_$,List(Integer),List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1146925
osetelt!`4`x`(_$,List(Integer),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1147272
osetelt!`4`x`(_$,List(Segment(Integer)),Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1147414
osetelt!`4`x`(_$,List(Segment(Integer)),List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1147629
osetelt!`4`x`(_$,List(Segment(Integer)),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1147836
osetelt!`4`x`(_$,Segment(Integer),List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1148042
osetelt!`4`x`(_$,Segment(Integer),List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1148184
osetelt!`4`x`(_$,Segment(Integer),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1148390
osetelt!`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``1148540
osetelt!`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1148687
osetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1148860
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1148985
osetleaves!`2`x`(_$,List(S))->_$`dBalancedBinaryTree(S)``1149108
osetleft!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1149223
osetnext!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`1149302
osetprevious!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`1149437
osetref`2`n`(_$,S)->S`dReference(S)``1149580
osetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1149641
osetrest!`3`x`(_$,Integer,_$)->_$`dStream(S)``1149756
osetright!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1149883
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(_$,Integer,Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1149964
osetsubMatrix!`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Matrix(R))->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1150194
osetsubPencil!`4`n`(_$,NonNegativeInteger,NonNegativeInteger,_$)->_$`dLinearMultivariateMatrixPencil(R)``1150335
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(_$,S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1150483
osh`2`x`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1150560
osh`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1150640
oshade`1`n`(Point(R))->R`pPointPackage(R)``1150770
oshade`1`x`(_$)->Integer`dPalette``1151099
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``1151181
oshallowExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``1151224
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1151334
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1151614
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,NonNegati--veInteger))),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:(NonNegative--Integer)->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:(N--onNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`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),ki--nd: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)``1151739
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)->St--ream(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(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),N--onNegativeInteger))),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:(NonNegativeInte--ger)->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(SparseMultiv--ariatePolynomial(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)),NonNegativeInt--eger),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(F--raction(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(I--nteger))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``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)))`1151848
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),S--ymbol)->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(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:(NonNe--gativeInteger)->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(Sp--arseMultivariatePolynomial(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)),NonN--egativeInteger),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(SparseMultivariatePo--lynomial(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,Ex--pression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oshiftLeft`1`n`(List(T))->List(T)`pListPackage(T)``1152035
oshiftLeft`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1152141
oshiftRight`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)`has(R,Ring)`1152209
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1152301
oshift`1`n`(F)->_$`dMoebiusTransform(F)``1152418
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``1152526
oshift`2`x`(_$,Integer)->_$`dFloat``1152627
oshift`2`x`(_$,Integer)->_$`dNonNegativeInteger``1152704
oshift`2`x`(_$,_$)->_$`cIntegerNumberSystem``1152765
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1152828
oshowAllElements`1`x`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`1152927
oshowArrayValues`1`n`(Boolean)->Boolean`dResult``1153021
oshowClipRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1153155
oshowElements`2`x`(NonNegativeInteger,_$)->OutputForm`dStream(S)`has(S,SetCategory)`1153410
oshowFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``1153520
oshowRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1153592
oshowScalarValues`1`n`(Boolean)->Boolean`dResult``1153837
oshowTheSymbolTable`0`n`()->_$`dTheSymbolTable``1153973
oshowTypeInOutput`1`x`(Boolean)->String`dAny``1154042
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1154315
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1154568
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1154688
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1154900
osierpinskiDivide`2`n`(_$,NonNegativeInteger)->_$`dSceneIFS(PT)``1155045
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1155227
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1155279
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1155331
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1155388
osign`1`n`(S)->Integer`xOrderedRing&(S)``0
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1155424
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1155660
osign`1`x`(_$)->Integer`cOrderedRing``1155740
osign`1`x`(_$)->Integer`dPermutation(S)``1155855
osign`2`x`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1155951
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1156041
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1156171
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1156306
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1156468
osimpMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osimpMod`2`n`(List(_$),List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1156694
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
osimpMod`3`n`(List(_$),SparseEchelonMatrix(JB,_$),List(_$))->Record(Sys:List(_$),JM:SparseEchelonMatrix(JB,_$),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1156795
osimpOne`1`n`(S)->S`xJetBundleFunctionCategory&(S,JB)``0
osimpOne`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``1156945
osimpleCells`1`n`(_$)->List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)))`dCell(TheField)``1157038
osimplicialComplexIfCan`1`n`(DeltaComplex(VS))->Union(_$,"failed")`dFiniteSimplicialComplex(VS)``1157170
osimplicialComplexIfCan`2`n`(DeltaComplex(VS),Boolean)->Union(_$,"failed")`dFiniteSimplicialComplex(VS)``1157351
osimplicialComplex`1`n`(List(VS))->_$`dFiniteSimplicialComplex(VS)``1157543
osimplicialComplex`2`n`(List(VS),List(List(NonNegativeInteger)))->_$`dFiniteSimplicialComplex(VS)``1157574
osimplicialComplex`3`n`(List(VS),NonNegativeInteger,List(List(NonNegativeInteger)))->_$`dFiniteSimplicialComplex(VS)``1157626
osimplicialJoin`3`n`(_$,_$,Boolean)->_$`dFiniteSimplicialComplex(VS)``1157678
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))`1158070
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1158141
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1158470
osimplify`1`n`(_$)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``1158681
osimplify`1`n`(_$)->_$`dGroupPresentation``1158870
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1159365
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1159669
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1159733
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
osimplify`2`n`(List(_$),SparseEchelonMatrix(JB,_$))->Record(Sys:List(_$),JM:SparseEchelonMatrix(JB,_$),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1160213
osimplify`2`n`(_$,Boolean)->_$`dGroupPresentation``1160674
osimpson`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1160711
osimpsono`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1161407
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1162107
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``1162205
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1162290
osin`1`n`(E)->_$`dFourierComponent(E)``1162377
osin`1`n`(F)->F`pElementaryFunction(R,F)``1162443
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)``1162502
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1162567
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1162632
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1162698
osin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1162766
osin`1`x`(_$)->_$`cTrigonometricFunctionCategory``1162833
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1162884
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1162986
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1163475
osingleFace`1`n`(List(PT))->_$`dSceneIFS(PT)``1164070
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1164167
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1164353
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1164609
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1164676
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1164746
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1164827
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1164929
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1165018
osinh`1`n`(S)->S`xComplexCategory&(S,R)``0
osinh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1165089
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1165170
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1165251
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1165329
osinh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1165409
osinh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1165478
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1165541
osipnt`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`2`n`(Integer,Integer)->_$`cSPointCategory``1165656
osipnt`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`3`n`(Integer,Integer,Integer)->_$`cSPointCategory``1165748
osivec`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osivec`2`n`(Integer,Integer)->_$`cSPointCategory``1165857
osivec`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osivec`3`n`(Integer,Integer,Integer)->_$`cSPointCategory``1165950
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osize?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``1166060
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``1166137
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1166292
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1166472
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1166652
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1166832
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1166935
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``1167031
osize`0`x`()->NonNegativeInteger`cFinite``1167095
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``1167159
osize`1`n`(_$)->NonNegativeInteger`dFreeMonoid(S)``1167226
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``1167293
osize`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1167365
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1167407
oski`1`n`(UT)->_$`dSKICombinators(UT)``1167598
oski`2`n`(_$,_$)->_$`dSKICombinators(UT)``1167636
oslash`2`n`(_$,_$)->_$`dOutputForm``1167689
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1167787
osmaller?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xFreeModuleCategory&(A,R,S)``0
osmaller?`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
osmaller?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
osmaller?`2`n`(S,S)->Boolean`xFinite&(S)``0
osmaller?`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
osmaller?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
osmaller?`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osmaller?`2`n`(_$,_$)->Boolean`cComparable``1167981
osmesh`2`n`(List(List(PT)),Boolean)->_$`dSceneIFS(PT)``1168067
osmith`1`n`(Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1168180
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1168242
osmith`2`n`(Matrix(Integer),(Matrix(Integer))->Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1168319
osn2`2`x`(Complex(Float),List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``1168464
osn2`2`x`(Float,List(Float))->Float`pFloatEllipticFunctions``1168485
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1168506
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``1168555
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``1168593
osolutionVector`1`n`(_$)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1168635
osolutionVector`2`n`(_$,NonNegativeInteger)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1168740
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1168898
osolveFor`2`n`(_$,JB)->Union(_$,"failed")`cJetBundleFunctionCategory(JB)``1169169
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1169261
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1169411
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)``1169559
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)``1169675
osolveLinearOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1170098
osolveLinearOverConstants`3`n`(Vector(F),F,List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1170313
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1170528
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1170777
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1171203
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1171468
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1171793
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``1172058
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))`1172323
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1172519
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))`1172715
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1172911
osolveLinearlyOverQ`2`x`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1173107
osolveLinearlyOverQ`2`x`(Vector(R),R)->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1173310
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1173513
osolve_u`3`n`(F,F,Symbol)->Union(List(List(F)),"failed")`pDenominatorIntegration(R,F)``1173769
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1173979
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``1174159
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1174196
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1174406
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1174536
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1174735
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1174872
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1175025
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1175165
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1175343
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1175460
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1175576
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1175761
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1175966
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1176080
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1176261
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1176476
osolve`2`x`(List(Equation(Expression(R))),List(Expression(R)))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1176615
osolve`2`x`(List(Equation(Expression(R))),List(Kernel(Expression(R))))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1176841
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1176982
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1177123
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1177328
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1177482
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1177697
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1177838
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1178047
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1178195
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1178343
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1178552
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1178761
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1178880
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)``1179028
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)``1179130
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1179566
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1180375
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1181137
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1181715
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1182138
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1182561
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1182887
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)``1183146
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1183741
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1184036
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1184331
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1184579
osomeBasis`0`x`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``1184764
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`x`(_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable),has(S,OrderedSet))`1184826
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`x`((S,S)->Boolean,_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable))`1184904
osortLD`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osortLD`1`n`(List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1184988
osort`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort`1`n`(_$)->_$`dFiniteSimplicialComplex(VS)``1185088
osort`1`x`(List(_$))->List(_$)`dPermutation(S)``1185100
osort`1`x`(_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`1185384
osort`2`n`((S,S)->Boolean,A)->A`xLinearAggregate&(A,S)``0
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort`2`x`((S,S)->Boolean,_$)->_$`cLinearAggregate(S)`has(_$,finiteAggregate)`1185498
osort`2`x`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``1185600
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))`1185797
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)`1185880
osortedPurge!`2`n`(_$,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``1185971
ospace`0`x`()->_$`dCharacter``1186130
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1186182
ospace`1`x`(ThreeSpace(DoubleFloat))->_$`dDrawOption``1186382
ospanningForestArrow`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestArrow`1`n`(_$)->List(Tree(Integer))`cFiniteGraph(S)``1186493
ospanningForestNode`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestNode`1`n`(_$)->List(Tree(Integer))`cFiniteGraph(S)``1186574
ospanningTreeArrow`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeArrow`2`n`(_$,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1186655
ospanningTreeNode`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeNode`2`n`(_$,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1187138
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``1187515
ospecialise`2`n`(List(Polynomial(TheField)),Cell(TheField))->List(SparseUnivariatePolynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``1187582
osphereSolid`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1187687
osphereSolid`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1187852
osphereSurface`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1188023
osphereSurface`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1188198
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1188406
osplit!`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1188674
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1188995
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1189122
osplitDenominator`1`n`(P)->Record(num:P,den:R)`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``1189311
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1189465
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1189654
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)``1189804
osplitList`2`n`((T)->Boolean,List(T))->Record(yes:List(T),no:List(T))`pListPackage(T)``1190022
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``1190152
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``1190404
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1190675
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1191011
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1191205
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1191399
osplit`2`n`(P,(P)->P)->Record(normal:P,special:P)`pParallelIntegrationTools(R,V,P)``1191490
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1191756
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1192023
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1192836
osplit`2`x`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``1192983
osplit`2`x`(_$,Character)->List(_$)`cStringAggregate``1193163
osplit`2`x`(_$,CharacterClass)->List(_$)`cStringAggregate``1193253
ospnt`2`n`(DoubleFloat,DoubleFloat)->_$`cSPointCategory``1193349
ospnt`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->_$`cSPointCategory``1193441
osqfrFactor`2`x`(R,NonNegativeInteger)->_$`dFactored(R)``1193550
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1193705
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1193784
osqrt`1`n`(_$)->_$`dInnerPrimeField(p)``1193853
osqrt`1`x`(Fraction(Integer))->_$`cRealClosedField``1194123
osqrt`1`x`(Integer)->_$`cRealClosedField``1194165
osqrt`1`x`(_$)->_$`cRadicalCategory``1194207
osqrt`1`x`(_$)->_$`cRealClosedField``1194347
osqrt`1`x`(_$)->_$`dPrimeField(p)``1194389
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``1194563
osqrt`2`x`(_$,PositiveInteger)->_$`cRealClosedField``1194688
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1194735
osquare?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1194910
osquareFreeBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``1195085
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1195191
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1195284
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1195693
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)`1195864
osquareFreePart`1`x`(_$)->_$`cUniqueFactorizationDomain``1196000
osquareFreePart`2`x`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``1196113
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``1196636
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1196751
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1196837
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1196943
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1197121
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)``1197311
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1197485
osquareFree`1`x`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1197828
osquareFree`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``1197922
osquareMatrix`1`n`(Matrix(R))->_$`dSquareMatrix(ndim,R)``1198107
osquareTop`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osquareTop`1`x`(_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1198226
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1198397
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1198531
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1198665
ostack`1`x`(List(S))->_$`dStack(S)``1198798
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1198954
ostar`2`n`(_$,OrientedFacet)->_$`dFiniteSimplicialComplex(VS)``1199639
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1199752
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1200206
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1200331
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1200437
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1200543
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)``1200649
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostarts`1`n`(List(Boolean))->_$`dBitStreamFrame``1200758
ostarts`1`n`(String)->_$`dBitStreamFrame``1200786
ostatement2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``1200856
ostatistics`0`n`()->Void`dJetLazyFunction(JB,D)``1200892
ostatistics`0`n`()->Void`pUnittestCount``1201102
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``1201243
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1201308
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1201450
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1201554
ostirling`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1201660
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1201749
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1202022
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1202316
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1202407
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1202498
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1202589
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostop`0`n`()->_$`dFortranCode``1202683
ostoseIntegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?_reg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?_sqfreg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet_reg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet_sqfreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostransform`1`n`((Complex(DoubleFloat))->Complex(DoubleFloat))->_$`dSTransform(PT)``1202750
ostransform`1`n`((PT)->PT)->_$`dSTransform(PT)``1202933
ostransform`1`n`(List(DoubleFloat))->_$`dSTransform(PT)``1203040
ostransform`1`n`(List(List(DoubleFloat)))->_$`dSTransform(PT)``1203108
ostranslate`6`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->_$`dSTransform(PT)``1203184
ostream`1`n`(_$)->Stream(R)`cSequenceCategory(R)``1203468
ostream`1`x`(()->S)->_$`dStream(S)``1203518
ostream`2`x`((S)->S,S)->_$`dInfiniteTuple(S)``1203669
ostream`2`x`((S)->S,S)->_$`dStream(S)``1203744
ostring?`1`n`(OutputForm)->Boolean`pOutputFormTools``1203982
ostring?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1204070
ostring`1`n`(OutputForm)->String`pOutputFormTools``1204159
ostring`1`x`(Integer)->_$`cStringCategory``1204272
ostring`1`x`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt)``1204356
ostring`1`x`(_$)->String`dSymbol``1204493
ostripCommentsAndBlanks`1`n`(String)->String`pTemplateUtilities``1204596
ostrongGenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``1204739
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1204824
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1205070
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1205229
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1205352
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1205609
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)``1205866
ostructuralConstants`1`x`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1206157
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1206436
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1206879
ostruveH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1207322
ostruveH`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1207384
ostruveL`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1207447
ostruveL`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1207601
ostube`3`n`(List(Record(source:(DoubleFloat)->PT,ranges:List(Segment(DoubleFloat)),knots:List(DoubleFloat),points:List(PT))),DoubleFloat,Integer)->_$`dSceneIFS(PT)``1207756
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1207871
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1207931
ostyle`1`x`(String)->_$`dDrawOption``1208076
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1208252
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1208457
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1208557
osubMatrix`3`n`(M,List(Integer),List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1208657
osubMatrix`3`n`(M,Segment(Integer),Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1208766
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osubMatrix`5`x`(_$,Integer,Integer,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1208875
osubMatrix`6`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1209087
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1209227
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1209365
osubPencil`3`n`(_$,List(NonNegativeInteger),List(NonNegativeInteger))->_$`dLinearMultivariateMatrixPencil(R)``1209543
osubPencil`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``1209667
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1209779
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1209879
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1209979
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1210122
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1210265
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1210415
osubResultantChain`2`x`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1210582
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1210770
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1210983
osubResultantGcd`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1211096
osubResultantGcd`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1211427
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1211575
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1211718
osubSylvesterMatrix`2`n`(M,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1212068
osubSylvesterMatrix`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubSylvesterMatrix`3`n`(M,NonNegativeInteger,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1212164
osubSylvesterMatrix`3`n`(Matrix(R),NonNegativeInteger,NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1212244
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1212340
osub`2`n`(_$,_$)->_$`dOutputForm``1212436
osubdiagramSvg`4`n`(Scene(SCartesian(2)),A,Boolean,Boolean)->Void`xFiniteGraph&(A,S)``0
osubdiagramSvg`4`n`(Scene(SCartesian(2)),_$,Boolean,Boolean)->Void`cFiniteGraph(S)``1212515
osubdivide`1`n`(_$)->_$`dSceneIFS(PT)``1212794
osubmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``1212946
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1213031
osubresultants`2`n`(UP,UP)->IndexedVector(UP,0)`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
osubresultants`2`n`(UP,UP)->IndexedVector(UP,Zero)`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`1213227
osubscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1213370
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``1213476
osubsetLattice`1`n`(List(S))->_$`dSubsetLattice(S,top)``1213647
osubspace?`2`n`(_$,_$)->Boolean`dVectorSpaceBasis(R)``1213687
osubspace`0`n`()->_$`dSubSpace(n,R)``1213773
osubspace`1`x`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``1213812
osubspace`1`x`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1213950
osubspace`2`x`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``1214134
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,NonNegati--veInteger))),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:(NonNegative--Integer)->List(AlgebraicNumber))`pGuessAlgebraicNumber``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),ki--nd: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)``1214347
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)->St--ream(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(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),N--onNegativeInteger))),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:(NonNegativeInte--ger)->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(SparseMultiv--ariatePolynomial(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)),NonNegativeInt--eger),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(F--raction(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(I--nteger))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
osubst_var`3`n`(_$,List(Symbol),List(Symbol))->_$`dFakePolynomial``0
osubst_vars`3`n`(PT,List(Symbol),List(Symbol))->MP`cModularEvaluationCategory(PT,MP)``1214463
osubst`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
osubst`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
osubst`2`x`(_$,Equation(_$))->_$`cExpressionSpace``1214593
osubst`2`x`(_$,List(Equation(_$)))->_$`cExpressionSpace``1214688
osubst`2`x`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`1214848
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``0
osubst`3`n`(_$,JB,_$)->_$`cJetBundleFunctionCategory(JB)``1214981
osubst`3`n`(_$,_$,_$)->_$`dLambda(UT)``1215097
osubst`3`x`(_$,List(Kernel(_$)),List(_$))->_$`cExpressionSpace``1215153
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``1215320
osubstring?`3`x`(_$,_$,Integer)->Boolean`cStringAggregate``1215431
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``1215599
osubtract`2`n`(_$,_$)->_$`dOrientedFacet``1215725
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1215802
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1215924
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1216085
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1216193
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1216364
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1216437
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1216572
osuchThat`3`x`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``1216714
osuffix?`2`x`(_$,_$)->Boolean`cStringAggregate``1216861
osumBasis`1`n`(List(List(Vector(R))))->_$`dVectorSpaceBasis(R)``1217127
osumBasis`1`n`(List(_$))->_$`dVectorSpaceBasis(R)``1217312
osumBasis`2`n`(List(Vector(R)),List(Vector(R)))->_$`dVectorSpaceBasis(R)``1217465
osumBasis`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``1217602
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1217685
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1217879
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1218138
osum`1`n`(_$)->_$`dOutputForm``1218372
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1218455
osum`2`n`(_$,_$)->_$`dOutputForm``1218637
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1218752
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1218859
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1218961
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1219038
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1219220
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1219297
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1219479
osum`3`n`(_$,_$,_$)->_$`dOutputForm``1219558
osummands`1`n`(_$)->List(_$)`dFreeDivisionAlgebra(VAR,F)``1219714
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1219846
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1219952
osummation`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``1220108
osummation`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``1220214
osunion`2`n`(_$,_$)->_$`dSBoundary(PT)``1220370
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1220601
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1220813
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1221025
osup`1`x`(_$)->R`cIntervalCategory(R)``1221209
osup`2`x`(_$,_$)->_$`cOrderedAbelianMonoidSup``1221264
osuper`2`n`(_$,_$)->_$`dOutputForm``1221373
osuperscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1221456
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``1221566
osupport`1`x`(_$)->List(S)`cFreeModuleCategory(R,S)``1221704
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``1221791
osvec`2`n`(DoubleFloat,DoubleFloat)->_$`cSPointCategory``1221926
osvec`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->_$`cSPointCategory``1222019
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,shallowlyMutable)`1222129
oswapColumns!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapColumns!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1222262
oswapColumns!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``1222366
oswapColumns!`3`x`(_$,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1222493
oswapRows!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapRows!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1222634
oswapRows!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dLinearMultivariateMatrixPencil(R)``1222732
oswapRows!`3`x`(_$,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1222853
oswapRowsColumns!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`dFreeDivisionAlgebra(VAR,F)``1222988
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1223127
oswap`1`x`(_$)->_$`dEquation(S)``1223197
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1223281
osylvesterMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1223403
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1223536
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1223735
osymbol?`1`n`(OutputForm)->Boolean`pOutputFormTools``1223869
osymbol?`1`n`(_$)->Boolean`dPattern(R)``1223957
osymbol?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1224013
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`dKernel(S)``1224102
osymbolTableOf`2`n`(Symbol,_$)->SymbolTable`dTheSymbolTable``1224218
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``1224293
osymbol`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
osymbol`1`n`(List(_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``1224376
osymbol`1`n`(OutputForm)->Symbol`pOutputFormTools``1224470
osymbol`1`x`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt)``1224583
osymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1224720
osymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1224922
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(_$,_$)->_$`cSetAggregate(S)``1225124
osymmetricGroup`1`n`(PositiveInteger)->_$`dGroupPresentation``1225506
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1225649
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1225922
osymmetricPower`2`x`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1226128
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1226316
osymmetricProduct`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1226544
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1226752
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``1227000
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1227110
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1227215
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1227791
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1228334
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``1228552
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``1228642
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``1228731
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1228890
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1228923
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1228995
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1229201
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1229507
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->_$`cTableAggregate(Key,Entry)``1229803
otable`1`n`((Key)->SingleInteger)->_$`dXHashTable(Key,Entry)``1229876
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`n`(List(_$))->TwoDimensionalArray(_$)`dJetVectorField(JB,D)``1230212
otable`1`x`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``1230301
otableau`1`x`(List(List(S)))->_$`dTableau(S)``1230408
otableau`2`n`(SparseEchelonMatrix(JB,D),JetDifferential(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1230483
otableau`2`n`(SparseEchelonMatrix(JB,D),List(JetDifferential(JB,D)))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1230573
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)``1230682
otail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``1230810
otail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1230930
otails`1`x`(_$)->List(_$)`dList(S)``1231015
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1231133
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1231231
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1231335
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1231443
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1231530
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1231640
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1231722
otan`1`n`(F)->F`pElementaryFunction(R,F)``1231896
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)``1231958
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1232026
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1232094
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1232163
otan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1232234
otan`1`x`(_$)->_$`cTrigonometricFunctionCategory``1232301
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1232355
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1232457
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1232566
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1232655
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)``1232729
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1232813
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1232897
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1232978
otanh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1233061
otanh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1233130
otaylorIfCan`1`x`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1233196
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``1233352
otaylorRep`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1233447
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1233566
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1233772
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1233978
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1234184
otaylor_via_lode`3`n`(List(UTS),PS,List(Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1234390
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1234546
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1234727
otaylor`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1234795
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1234936
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1235023
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1235136
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1235379
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1235564
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1235731
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1235817
otensorMap`2`n`(Stream(R),(R)->List(R))->Stream(R)`pStreamTensor(R)``1236002
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1236178
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1236547
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1236646
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1237043
otensor`1`n`(List(B))->_$`dTensorPower(n,R,B,M)``0
otensor`1`n`(List(M))->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`1`x`(List(M))->_$`cTensorPowerCategory(n,R,M)``1237328
otensor`2`n`(M,M)->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`2`n`(_$,_$)->_$`dOutputForm``1237437
otensor`2`x`(M,N)->_$`cTensorProductCategory(R,M,N)``1237503
oterminal`1`n`(S)->A`xPoset&(A,S)``0
oterminal`1`n`(S)->_$`cFiniteGraph(S)``1237601
oterms`1`x`(_$)->List(Record(k:M,c:R))`cMonoidRingCategory(R,M)``1237692
oterms`1`x`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1237852
otestAbsolutePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1238211
otestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1238391
otestComplexEquals`2`n`(String,String)->Void`pUnittest``1238620
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1238842
otestEqualsAuxCmp`2`n`(R,R)->Boolean`pUnittestAux(R)``1238959
otestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1239025
otestEquals`2`n`(String,String)->Void`pUnittest``1239315
otestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1239591
otestLibraryError`1`n`(String)->Void`pUnittest``1239721
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1239840
otestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1240044
otestNotEquals`2`n`(String,String)->Void`pUnittest``1240157
otestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1240256
otestRealEquals`2`n`(String,String)->Void`pUnittest``1240482
otestRelativePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1240698
otestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1240878
otestTrue`1`n`(String)->Void`pUnittest``1240953
otest`1`x`(_$)->Boolean`dBoolean``1241017
otestcaseNoClear`1`n`(String)->Void`pUnittestCount``1241113
otestcase`1`n`(String)->Void`pUnittestCount``1241271
otestco`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1241415
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)``1241437
otestcx`2`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer))->UnivariatePolynomial(var,Expression(Integer))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1241459
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(Expressi--on(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1241481
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)``1241503
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)))`pLinearOrdinaryDifferentialOperatorFactori--zer2(var,cen)``1241525
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(va--r,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:UnivariatePolyn--omial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1241547
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(va--r,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:UnivariatePolyn--omial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1241569
otestgt`2`n`(Expression(Integer),Kernel(Expression(Integer)))->Expression(Integer)`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1241591
otestis`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1241613
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)``1241635
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,c--en)``1241667
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:Lin--earOrdinaryDifferentialOperator3(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)``1241689
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)``1241711
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:LinearOr--dinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1241733
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)``1241755
otestpd`1`n`(UnivariatePolynomial(var,Expression(Integer)))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1241777
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)``1241799
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)``1241821
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)``1241845
otestsuiteNoClear`1`n`(String)->Void`pUnittestCount``1241867
otestsuite`1`n`(String)->Void`pUnittestCount``1242029
otex`1`n`(_$)->List(String)`dTexFormat``1242180
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1242250
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1242526
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1242634
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1242837
otitle`1`x`(String)->_$`dDrawOption``1242958
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1243100
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``1243305
otitle`2`x`(_$,String)->Void`dThreeDimensionalViewport``1243462
otoCayleyGraph`1`n`(PermutationGroup(S))->MultifunctionGraph(String)`dMultifunctionGraph(S)``1243623
otoCayleyGraph`2`n`(List(Permutation(S)),Boolean)->MultifunctionGraph(String)`dMultifunctionGraph(S)``1243673
otoObj`6`n`(_$,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),Record(mins:PT,maxs:PT))->Void`dScene(PT)``1243884
otoObj`6`n`(_$,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),SBoundary(PT))->Void`dScene(PT)``1244009
otoPermutationIfCan`1`n`(_$)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1244859
otoPermutationIfCan`2`n`(_$,Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1245069
otoPermutationIfCan`3`n`(_$,List(List(Integer)),Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1245279
otoPermutation`1`n`(_$)->PermutationGroup(NonNegativeInteger)`dMultifunctionGraph(S)``1245501
otoPoint`1`n`(_$)->_$`cSPointCategory``1245598
otoSVG`8`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),Record(mins:PT,maxs:PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1245772
otoSVG`8`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1245897
otoScale`1`x`(Boolean)->_$`dDrawOption``1246733
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1246963
otoStringConven`2`n`(_$,List(String))->String`dLambda(UT)``1247172
otoStringUnwrapped`1`n`(_$)->String`dILogic``1247463
otoStringUnwrapped`1`n`(_$)->String`dLatticeJoinOfMeets``1247542
otoStringUnwrapped`1`n`(_$)->String`dLatticeMeetOfJoins``1247621
otoString`1`n`(S)->String`xFloatingPointSystem&(S)``0
otoString`1`n`(_$)->String`cVarCat``1247700
otoString`1`n`(_$)->String`dILogic``1247753
otoString`1`n`(_$)->String`dLambda(UT)``1247823
otoString`1`n`(_$)->String`dLatticeJoinOfMeets``1248042
otoString`1`n`(_$)->String`dLatticeMeetOfJoins``1248112
otoString`1`n`(_$)->String`dSKICombinators(UT)``1248182
otoString`1`n`(_$)->String`dSceneNamedPoints(PT)``1248196
otoString`1`x`(_$)->String`cFloatingPointSystem``1248272
otoString`2`n`(S,NonNegativeInteger)->String`xFloatingPointSystem&(S)``0
otoString`2`x`(_$,NonNegativeInteger)->String`cFloatingPointSystem``1248345
otoTable`1`x`((_$)->_$)->Matrix(_$)`dCliffordAlgebra(n,K,bLin)``1248458
otoTable`1`x`((_$,_$)->_$)->Matrix(_$)`dCliffordAlgebra(n,K,bLin)``1248623
otoVector`1`n`(_$)->_$`cSPointCategory``1248912
otoX3D`4`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),Record(mins:PT,maxs:PT))->XmlElement`dScene(PT)``1249079
otoX3D`4`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT))->XmlElement`dScene(PT)``1249204
oto_UP`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))`dFakePolynomial``0
oto_mod_pa`2`n`(SparseUnivariatePolynomial(Integer),Integer)->U32Vector`pU32VectorPolynomialOperations``1249629
otoggleAlternativeOutput`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``1249761
otoggleDebugOutput`1`n`(_$)->_$`dFreeDivisionAlgebra(VAR,F)``1249848
otopFortranOutputStack`0`n`()->String`pFortranOutputStackPackage``1249903
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1249993
otop_split`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``0
otop`1`x`(_$)->S`cStackAggregate(S)``1250195
otopologicalSort!`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1250365
otopologicalSort`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1250525
otopologicalSort`2`n`(List(List(Boolean)),List(T))->List(T)`pListPackage(T)``1250643
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1250883
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1251194
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1251300
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1251340
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1251546
otorusSurface`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``1251590
otorusSurface`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1251645
otorusSurface`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1251721
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1251802
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1251935
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1252068
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1252205
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1252348
ototalDegreeSorted`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegreeSorted`2`n`(_$,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1252480
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`n`(_$)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1252694
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`2`n`(_$,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1252798
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``1252941
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1253045
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1253309
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1253492
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1253723
otower`1`n`(List(S))->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`x`(List(_$))->List(Kernel(_$))`cExpressionSpace``1253759
otower`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``1253896
otrace2PowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1254001
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1254161
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1254330
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(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1254499
otracePowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1254615
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``1254738
otrace`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``1254882
otrace`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1254992
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1255129
otrace`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1255228
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``1255524
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1255572
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(_$)->Boolean`cExtensionField(F)``1255700
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
otransformColumns!`2`n`(_$,Matrix(F))->_$`dFreeDivisionAlgebra(VAR,F)``1255824
otransformColumns!`2`n`(_$,Matrix(R))->_$`dLinearMultivariateMatrixPencil(R)``1255911
otransformRows!`2`n`(_$,Matrix(F))->_$`dFreeDivisionAlgebra(VAR,F)``1256024
otransformRows!`2`n`(_$,Matrix(R))->_$`dLinearMultivariateMatrixPencil(R)``1256107
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``1256216
otransform`1`n`(JB1)->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1256254
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1256358
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JetBundleSymAna(JB1,xi,eta))`pSymmetryAnalysis(JB1,xi,eta)``1256445
otransformationMatrices`1`n`(Matrix(F))->List(Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``1256542
otransformationMatrix`1`n`(_$)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1256736
otransition_matrices`1`n`(_$)->List(Matrix(Integer))`dChainComplex``1256869
otranslate`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1256946
otranslate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1257058
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1257284
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
otranspose`1`n`(_$)->_$`dSquareMatrix(ndim,R)``1257757
otranspose`1`x`(Row)->_$`cMatrixCategory(R,Row,Col)``1257830
otranspose`1`x`(_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1257900
otranspose`1`x`(_$)->_$`dCartesianTensor(minix,dim,R)``1257972
otranspose`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``1258231
otrapezoidal`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1258537
otrapezoidalo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1259251
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``1259959
otree`1`x`(List(S))->_$`dTree(S)``1260306
otree`1`x`(S)->_$`dTree(S)``1260381
otree`2`x`(S,List(_$))->_$`dTree(S)``1260460
otrial_division`5`n`(MP,Polynomial(Integer),List(MP),Symbol,List(Symbol))->Boolean`cModularEvaluationCategory(PT,MP)``1260552
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1260797
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1260888
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1260979
otriangle`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dDeltaComplex(VS)``1262034
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1262079
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1262273
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)``1262629
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)``1262719
otriangulate`2`n`(Matrix(LO),List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pSystemODESolver(F,LO)``1263103
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1263344
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pInnerTrigonometricManipulations(R,F,FG)``1263514
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1263829
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1263958
otrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1264087
otrim`2`x`(_$,S)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1264275
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1264466
otrueEqual`2`x`(_$,_$)->Boolean`dAlgebraicNumber``1264568
otrue`0`x`()->_$`cLogic``1264648
otrunc`2`x`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``1264690
otrunc`2`x`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``1264779
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(_$)->_$`cRealNumberSystem``1264868
otruncate`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1264957
otruncate`3`x`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1265090
otruncated_mul_add`5`n`(U32Vector,U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``1265253
otruncated_multiplication`4`n`(U32Vector,U32Vector,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``1265373
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1265475
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1265621
otryTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1265815
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1266005
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1266286
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1266557
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1266932
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1267305
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1267443
otubePoints`1`x`(PositiveInteger)->_$`dDrawOption``1267587
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1267804
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1268019
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1268097
otubeRadius`1`x`(Float)->_$`dDrawOption``1268188
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1268334
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1268549
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``1268642
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1268958
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1269060
otypeList`2`n`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1269380
otypeLists`1`n`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1269471
otype`1`n`(_$)->Symbol`cJetBundleCategory``1269558
oucodeToString`1`x`(Integer)->_$`dString``1269668
ouentries`1`x`(_$)->List(SingleInteger)`dString``1269811
ounary?`1`x`(_$)->Boolean`dBasicOperator``1270141
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1270195
ounbind`1`n`(_$)->_$`dLambda(UT)``1270246
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1270337
oundirectedGraph`1`n`(FinitePoset(S))->_$`dUndirectedGraph(S)``1270579
oundirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->_$`dUndirectedGraph(S)``1270756
oundirectedGraph`1`n`(List(S))->_$`dUndirectedGraph(S)``1270860
oundirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dUndirectedGraph(S)``1271132
oundirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dUndirectedGraph(S)``1271247
oundirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->_$`dUndirectedGraph(S)``1271317
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``1271506
ouniform01`0`n`()->Float`pRandomFloatDistributions``1271568
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1271608
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1271647
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1271686
ounion`1`n`(List(_$))->_$`dSBoundary(PT)``1271730
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`(List(Kernel(F)),List(Kernel(F)))->List(Kernel(F))`pIntegrationTools(R,F)``1271874
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``1271960
ounion`2`x`(S,_$)->_$`cSetAggregate(S)``1272030
ounion`2`x`(_$,S)->_$`cSetAggregate(S)``1272216
ounion`2`x`(_$,_$)->_$`cSetAggregate(S)``1272402
ounit?`1`n`(S)->Boolean`xEntireRing&(S)``0
ounit?`1`x`(_$)->Boolean`cEntireRing``1272532
ounitCanonical`1`n`(S)->S`xEntireRing&(S)``0
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`x`(_$)->_$`cEntireRing``1272624
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xComplexCategory&(S,R)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xEntireRing&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xField&(S)``0
ounitNormal`1`x`(_$)->Record(unit:_$,canonical:_$,associate:_$)`cEntireRing``1272695
ounitNormalize`1`x`(_$)->_$`dFactored(R)``1273009
ounitPart`1`n`(_$)->Fraction(Integer)`dIntegerLocalizedAtPrime(p)``1273210
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1273364
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1273406
ounitVector`1`n`(_$)->_$`cSPointCategory``1273551
ounitVector`1`x`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,Monoid))`1273681
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1273775
ounit`1`x`(List(Float))->_$`dDrawOption``1273887
ounit`1`x`(_$)->R`dFactored(R)``1274041
ounit`2`n`(List(S),String)->A`xPoset&(A,S)``0
ounit`2`n`(List(S),String)->_$`cFiniteGraph(S)``1274108
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1274361
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1274457
ounits`1`n`(_$)->List(Float)`dGraphImage``1274575
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1274760
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``1274964
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1275265
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1275519
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1275786
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial('x,Coef)`dUnivariateFormalPowerSeries(Coef)``0
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1275884
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1276043
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1276202
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1276382
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1276630
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1276793
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1276902
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1277075
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1277193
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1277322
ounivariate`1`x`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1278126
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1278393
ounivariate`2`n`(S,Kernel(S))->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace&(S,R)``0
ounivariate`2`x`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``1278497
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1278601
ounivariate`2`x`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`1278772
ounivariate`2`x`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``1278867
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1279074
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1279220
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1279277
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`1279316
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)``1279412
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``1279567
ounpack_poly`5`n`(List(Symbol),SortedExponentVector,PrimitiveArray(Integer),Integer,Integer)->SparseUnivariatePolynomial(Polynomial(Integer))`pModularHermitePade``1279726
ounparse`1`n`(_$)->String`dInputForm``1280020
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1280185
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1280536
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1281071
ounravel`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``1281682
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1281805
ounvectorise`1`n`(Vector(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounvectorise`1`x`(Vector(R))->_$`cUnivariatePolynomialCategory(R)``1281935
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1282063
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
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)``1282296
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``1282331
oupdate!`2`n`(_$,SingleInteger)->_$`dHashState``1282366
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``1282513
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1282639
oupperCase!`1`x`(_$)->_$`cStringAggregate``1282823
oupperCase?`1`x`(_$)->Boolean`dCharacter``1282952
oupperCase`0`x`()->_$`dCharacterClass``1283063
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(_$)->_$`cStringAggregate``1283187
oupperCase`1`x`(_$)->_$`dCharacter``1283268
oupperSet`1`n`(_$)->_$`cPoset(S)``1283437
ouppertriangular?`2`n`(_$,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1283579
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1283659
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1283788
ouseNagFunctions`0`n`()->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1283985
ouseNagFunctions`1`n`(Boolean)->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1284118
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1284325
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1284497
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1284717
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1284852
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1284927
ovalidate`1`n`(_$)->Boolean`dChainComplex``1285092
ovalidate`1`n`(_$)->Boolean`dCoChainComplex(VS)``1285208
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->SingleInteger`dHashState``1285335
ovalue`1`n`(_$)->Symbol`dILogic``1285415
ovalue`1`n`(_$)->Symbol`dLatticeJoinOfMeets``1285687
ovalue`1`n`(_$)->Symbol`dLatticeMeetOfJoins``1285959
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``1286231
ovalue`1`x`(_$)->Integer`dOrdSetInts``1286294
ovalue`1`x`(_$)->S`cRecursiveAggregate(S)``1286362
ovalue`1`x`(_$)->String`dQueryEquation``1286425
ovalues`0`n`()->NonNegativeInteger`pRecurrenceOperator(R,F)``1286515
ovalues`1`n`(NonNegativeInteger)->NonNegativeInteger`pRecurrenceOperator(R,F)``1286595
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1286672
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1286940
ovar1Steps`1`x`(PositiveInteger)->_$`dDrawOption``1287199
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1287367
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1287580
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1287848
ovar2Steps`1`x`(PositiveInteger)->_$`dDrawOption``1288107
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1288276
ovarList`1`n`(_$)->List(S)`dFreeMonoid(S)`has(S,BasicType)`1288489
ovarList`1`n`(_$)->List(VarSet)`dFreeMagma(VarSet)``1288557
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1288632
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``1288700
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1288775
ovarList`1`x`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1288879
ovarList`1`x`(_$)->List(vl)`cXFreeAlgebra(vl,R)``1288954
ovar`1`n`(String)->_$`cVarCat``1289035
ovar`2`n`(String,ILogic)->_$`cVarCat``1289087
ovariable?`1`n`(_$)->Boolean`dSKICombinators(UT)``1289143
ovariableName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``1289193
ovariableName`1`x`(Symbol)->_$`dGuessOption``1289326
ovariableOf`1`n`(_$)->Symbol`dSimpleCell(TheField,ThePols)``1289490
ovariable`0`n`()->Symbol`dVariable(sym)``1289547
ovariable`1`n`(String)->_$`dLatticeJoinOfMeets``1289591
ovariable`1`n`(String)->_$`dLatticeMeetOfJoins``1289619
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``1289647
ovariable`1`x`(_$)->S`cDifferentialVariableCategory(S)``1289720
ovariable`1`x`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1289837
ovariable`1`x`(_$)->Symbol`dQueryEquation``1289936
ovariable`1`x`(_$)->Symbol`dSegmentBinding(S)``1290031
ovariablesOf`1`n`(_$)->List(Symbol)`dCell(TheField)``1290234
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1290301
ovariables`1`n`(List(S))->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(NonNegativeInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`1`n`(NonNegativeInteger)->List(_$)`cJetBundleCategory``1290417
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ovariables`1`n`(SparseUnivariatePolynomial(P))->List(OV)`pFactoringUtilities(E,OV,R,P)``1290505
ovariables`1`n`(_$)->List(FreeMonoid(VAR))`dFreeDivisionAlgebra(VAR,F)``1290604
ovariables`1`n`(_$)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1290664
ovariables`1`n`(_$)->List(VarSet)`cMaybeSkewPolynomialCategory(R,E,VarSet)``1290739
ovariables`1`n`(_$)->List(_$)`dPattern(R)``1290849
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1290938
ovariables`1`x`(List(_$))->List(Symbol)`cFunctionSpace(R)``1291054
ovariables`1`x`(_$)->List(Symbol)`cFunctionSpace(R)``1291169
ovariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1291247
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(_$)`cJetBundleCategory``1291382
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1291509
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1291880
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1292016
ovconcat`1`n`(List(_$))->_$`dOutputForm``1292110
ovconcat`2`n`(_$,_$)->_$`dOutputForm``1292187
ovector_add_mul`6`n`(U32Vector,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1292270
ovector_combination`7`n`(U32Vector,Integer,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1292453
ovector`1`n`(List(Complex(DoubleFloat)))->_$`dComplexDoubleFloatVector``1292645
ovector`1`n`(_$)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1292709
ovector`1`n`(_$)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1292776
ovector`1`x`(List(R))->_$`dVector(R)``1292843
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1292907
overtConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`1`x`(List(_$))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1293116
overtConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`2`x`(_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1293253
overtSplit`2`n`(S,List(NonNegativeInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`x`(_$,List(NonNegativeInteger))->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``1293480
overtSplit`2`x`(_$,PositiveInteger)->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``1293675
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1293821
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1293892
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1294012
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1294169
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1294287
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1294442
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1294536
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1294671
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1294879
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1295112
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1295191
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1295299
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1295396
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1295534
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1295657
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1295789
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1295955
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1296036
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``1296148
oviewpoint`1`x`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1296414
oviewpoint`2`n`(List(DrawOption),Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`pDrawOptionFunctions0``1296783
oviewpoint`2`x`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1297008
oviewpoint`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1297268
oviewpoint`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1297624
oviewpoint`6`x`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1298030
oviewpoint`6`x`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1298540
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``1299050
oviewport3D`0`x`()->_$`dThreeDimensionalViewport``1299197
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,Dpol)``1299348
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pNGroebnerPackage(Dom,Expon,Dpol)``1299390
ovoid`0`x`()->_$`dVoid``1299411
ovspace`1`n`(Integer)->_$`dOutputForm``1299456
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1299520
oweberE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1299704
oweberE`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1299764
oweierstrassHalfPeriods`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1299825
oweierstrassInvariants`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1299968
oweierstrassP0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1300133
oweierstrassPInverse`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1300289
oweierstrassPInverse`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1300484
oweierstrassPPrime0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1300680
oweierstrassPPrime`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1300846
oweierstrassPPrime`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1300893
oweierstrassPPrime`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1300995
oweierstrassPPrime`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1301097
oweierstrassP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1301196
oweierstrassP`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1301238
oweierstrassP`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1301317
oweierstrassP`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1301396
oweierstrassSigma0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1301476
oweierstrassSigma`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1301625
oweierstrassSigma`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1301671
oweierstrassZeta0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1301752
oweierstrassZeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1301914
oweierstrassZeta`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1301959
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1302038
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oweight`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``1302316
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1302505
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``1302637
oweight`1`x`(_$)->NonNegativeInteger`dBasicOperator``1302708
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(_$,NonNegativeInteger)->_$`dBasicOperator``1302775
oweight`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1302848
oweightedDistanceMatrix`1`n`(_$)->TwoDimensionalArray(Union(W,"disjoint"))`dWeightedGraph(S,W)``1303087
oweightedGraph`1`n`(FinitePoset(S))->_$`dWeightedGraph(S,W)``1303273
oweightedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)))->_$`dWeightedGraph(S,W)``1303428
oweightedGraph`1`n`(List(S))->_$`dWeightedGraph(S,W)``1303532
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))))->_$`dWeightedGraph(S,W)``1303804
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)),List(Record(name:String,weight:W,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dWeightedGraph(S,W)``1303919
oweightedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dWeightedGraph(S,W)``1304061
oweightedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->_$`dWeightedGraph(S,W)``1304131
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1304318
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1304358
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1304482
owhatInfinity`1`x`(_$)->SingleInteger`dOrderedCompletion(R)``1304717
owhileLoop`2`n`(Switch,_$)->_$`dFortranCode``1304852
owhittakerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1304917
owhittakerM`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1304990
owhittakerW`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1305064
owhittakerW`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1305137
owholePart`1`x`(_$)->Integer`cRealNumberSystem``1305211
owholePart`1`x`(_$)->R`dContinuedFraction(R)``1305275
owholePart`1`x`(_$)->R`dPartialFraction(R)``1305484
owholePart`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1305569
owholeRadix`1`x`(List(Integer))->_$`dRadixExpansion(bb)``1305722
owholeRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``1305881
owidth`1`x`(_$)->R`cIntervalCategory(R)``1305972
owignerDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``1306027
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1306116
owordInGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1306287
owordInStrongGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1306494
owordsForStrongGenerators`1`x`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1306711
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1306933
owritable?`1`x`(_$)->Boolean`cFileNameCategory``1307100
owrite!`2`x`(_$,S)->S`cFileCategory(Name,S)``1307213
owriteCategory`4`n`(List(ILogic),String,String,String)->Void`pcompCode``1307392
owriteLine!`1`x`(_$)->String`dTextFile``1307428
owriteLine!`2`x`(_$,String)->String`dTextFile``1307607
owriteObj`2`n`(SubSpace(3,DoubleFloat),String)->Void`pExport3D``1307770
owriteObj`2`n`(_$,String)->Void`dScene(PT)``1307833
owritePackage`5`n`(List(Lambda(Typed)),String,String,String,String)->Void`pcompCode``1307959
owriteSvgQuantised`2`n`(_$,String)->Void`dScene(PT)``1307994
owriteSvg`2`n`(_$,String)->Void`dScene(PT)``1308117
owriteVRML`2`n`(XmlElement,String)->Void`pExportXml``1308231
owriteVRML`2`n`(_$,String)->Void`dScene(PT)``1308517
owriteX3d`2`n`(_$,String)->Void`dScene(PT)``1308633
owriteXml`2`n`(XmlElement,String)->Void`pExportXml``1308749
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``1308968
owrite`2`x`(_$,String)->String`dThreeDimensionalViewport``1309207
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``1309449
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``1309754
owrite`3`x`(_$,String,List(String))->String`dThreeDimensionalViewport``1310033
owrite`3`x`(_$,String,String)->String`dThreeDimensionalViewport``1310341
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1310623
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1310769
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)``1310925
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1311048
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1311302
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1311409
oxform`2`n`(_$,PT)->PT`dSTransform(PT)``1311516
oxftestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1311599
oxftestComplexEquals`2`n`(String,String)->Void`pUnittest``1311646
oxftestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1311700
oxftestEquals`2`n`(String,String)->Void`pUnittest``1311747
oxftestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1311794
oxftestLibraryError`1`n`(String)->Void`pUnittest``1311841
oxftestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1311894
oxftestNotEquals`2`n`(String,String)->Void`pUnittest``1311941
oxftestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1311991
oxftestRealEquals`2`n`(String,String)->Void`pUnittest``1312038
oxftestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1312089
oxftestTrue`1`n`(String)->Void`pUnittest``1312136
oxmlAttribute`2`n`(String,List(String))->_$`dXmlAttribute``1312181
oxmlAttribute`2`n`(String,String)->_$`dXmlAttribute``1312299
oxmlElement`3`n`(String,List(_$),List(XmlAttribute))->_$`dXmlElement``1312397
oxmlElement`3`n`(String,String,List(XmlAttribute))->_$`dXmlElement``1312507
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1312603
oxor`2`x`(_$,_$)->_$`cBitAggregate``1312660
oxor`2`x`(_$,_$)->_$`dBoolean``1312766
oxor`2`x`(_$,_$)->_$`dSingleInteger``1312865
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1312978
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1313233
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1313358
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1313465
oyellow`0`x`()->_$`dColor``1313572
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1313651
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1313780
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1313917
ozRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1314188
ozag`2`n`(_$,_$)->_$`dOutputForm``1314295
ozero?`1`n`(MPT)->Boolean`cModularAlgebraicGcdOperations(MP,MPT,MD)``1314396
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`n`(S)->Boolean`xVectorCategory&(S,R)``0
ozero?`1`x`(_$)->Boolean`cAbelianMonoid``1314447
ozero?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1314503
ozero?`1`x`(_$)->Boolean`cVectorCategory(R)`has(R,AbelianMonoid)`1314603
ozero?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1314702
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1314776
ozero?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1314872
ozero?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1314937
ozeroDim?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1315058
ozeroDim?`2`x`(_$,List(VarSet))->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1315275
ozeroDimPrimary?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1315446
ozeroDimPrime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1315533
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1315618
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1315787
ozeroMatrix`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`1315949
ozeroMatrix`3`n`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1316023
ozeroMatrix`3`n`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1316123
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1316247
ozeroOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1316478
ozeroOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1316653
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1316885
ozeroOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1317093
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1317311
ozeroSetSplit`1`x`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``1317630
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1317826
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1318166
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1318528
ozeroSetSplit`2`x`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``1318676
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``1319193
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1319707
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1320031
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1320399
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1320512
ozeroSquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1320625
ozeroVector`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1320680
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`1320729
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``1320793
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1320865
ozerosOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1321220
ozerosOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1321519
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1321858
ozerosOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1322211
ozetaMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ozetaMatrix`1`n`(_$)->IncidenceAlgebra(Integer,S)`cPoset(S)``1322568
ozeta`0`n`()->_$`dDirichletRing(Coef)``1322810
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1322876
ozoom`2`x`(_$,Float)->Void`dThreeDimensionalViewport``1322917
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``1323078
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``1323124
ozoom`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1323175
o~=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o~=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->_$`dOutputForm``1323472
o~=`2`x`(_$,_$)->Boolean`cBasicType``1323528
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`n`(_$)->_$`dDirectedGraph(S)``1323593
o~`1`n`(_$)->_$`dILogic``1323902
o~`1`n`(_$)->_$`dMultifunctionGraph(S)``1324172
o~`1`x`(_$)->_$`cLogic``1324481
o~`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``1324544
o~`1`x`(_$)->_$`dSingleInteger``1324597
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1324688
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1324784
pAlgebraicFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`AF`1324868
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1324942
pAlgebraicIntegrate2`3`n`(R0:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc),R:FunctionFieldCategory(F,SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))))->etc`(R0,F,R)`INTALG2`0
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`1324977
pAlgebraicIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1325066
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1325180
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1325295
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1325506
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1325716
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1325803
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1325931
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1326055
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1326142
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1326211
pBezoutMatrixWrapper`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BEZOUT2`1326348
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`1326446
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1326626
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1326740
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1327320
pCartanKuranishi`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`CKP`1327399
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1327670
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1327777
pCharacteristicPolynomial2`1`n`(Field)->etc`(F)`CHARPOL2`1327841
pCharacteristicPolynomial3`1`n`(IntegralDomain)->etc`(R)`CHARPOL3`1327935
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1328316
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1328413
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1328518
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1328932
pCombinatorialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`COMBF`1329021
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1329086
pCommonOperators`0`n`()->etc``COMMONOP`1329250
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1329456
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1329572
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1329669
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1329795
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1329872
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1329944
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`1330728
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1331102
pConstantLODE`3`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1331236
pConstantLinearDependence`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`CLINDEP`1331324
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1331784
pCubicalComplexFactory`0`n`()->etc``CUBECF`1332042
pCycleIndicators`0`x`()->etc``CYCLES`1332213
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1332250
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`1332318
pCylindricalAlgebraicDecompositionPackage`1`n`(RealClosedField)->etc`(TheField)`CAD`0
pCylindricalAlgebraicDecompositionUtilities`2`n`(R:GcdDomain,P:UnivariatePolynomialCategory(R))->etc`(R,P)`CADU`0
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1332354
pDegreeReductionPackage`2`n`(Ring,R2:Join(Comparable,etc))->etc`(R1,R2)`DEGRED`1332495
pDeltaComplexFactory`1`n`(AbelianGroup)->etc`(VS)`DELTCF`1332531
pDenominatorIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTDEN`1332669
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1332781
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1333514
pDiscreteLogarithmPackage`1`n`(Join(Monoid,etc))->etc`(M)`DLP`1333832
pDisplayPackage`0`x`()->etc``DISPLAY`1333952
pDistinctDegreeFactorize`2`x`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1334057
pDistributionContinuedFractionPackage`2`x`(CommutativeRing,z:Symbol)->etc`(R,z)`DSTCFPG`1334350
pDistributionFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`DISTRO2`1334427
pDistributionPackage`1`x`(CommutativeRing)->etc`(R)`DISTEX`1334490
pDistributionPolynomialPackage`3`x`(R:CommutativeRing,S:Join(CommutativeRing,etc),UPS:UnivariatePolynomialCategory(S))->etc`(R,S,UPS)`DISTPOL`1334528
pDoubleFloatEllipticIntegrals`0`x`()->etc``ELIPIDF`1334655
pDoubleFloatSpecialFunctions2`0`x`()->etc``DFSFUN2`0
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1334927
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1335028
pDrawComplex`0`x`()->etc``DRAWCX`1335131
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1335217
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1335635
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1335671
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1335707
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1335990
pElementaryFunctionLODESolver`3`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1336120
pElementaryFunctionODESolver`2`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1336300
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1336472
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1336587
pElementaryFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1336880
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1336942
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`1337105
pElementaryRischDEX2`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX2`1337277
pElementaryRischDEX`2`n`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX`1337345
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1337458
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1337556
pErrorFunctions`0`x`()->etc``ERROR`1337632
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1339615
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1340490
pExport3D`0`n`()->etc``EXP3D`1340663
pExportXml`0`n`()->etc``XML`1340759
pExpressionFactorPolynomial`2`n`(R:Join(GcdDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EFACTOR`0
pExpressionFunctions2`2`x`(Join(Ring,etc),S:Join(Ring,etc))->etc`(R,S)`EXPR2`1340817
pExpressionLinearSolve`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`ELINSOL`1340882
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`1341075
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1341256
pExpressionSpaceODESolver`2`x`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1341550
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1341607
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1341731
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1341821
pExtendedPolynomialReduction`3`n`(C:GcdDomain,E:OrderedAbelianMonoidSup,R:Join(FiniteAbelianMonoidRing(C,E),etc))->etc`(C,E,R)`EXTRED`1342002
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1342393
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1342698
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1342811
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1343085
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1343142
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`1343304
pFiniteAbelianMonoidRingFunctions2`5`n`(E:OrderedAbelianMonoid,R1:Ring,A1:FiniteAbelianMonoidRing(R1,E),R2:Ring,A2:FiniteAbelianMonoidRing(R2,E))->etc`(E,R1,A1,R2,A2)`FAMR2`1343418
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`1343505
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1343601
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1343777
pFiniteFieldPolynomialPackage2`2`x`(Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1344020
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1344297
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1344464
pFiniteGroupPackage`1`n`(Join(Group,etc))->etc`(G)`FINGPKG`1344565
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:Join(LinearAggregate(S),etc),R:Type,B:Join(LinearAggregate(R),etc))->etc`(S,A,R,B)`FLAGG2`1344632
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1344944
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1345033
pFloatEllipticFunctions`0`x`()->etc``FELFUN`1345337
pFloatLiouvilianFunctions`0`x`()->etc``FLIOUFUN`0
pFloatSpecialFunctions`0`x`()->etc``FSFUN`0
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1345470
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1345829
pFortranCodePackage1`0`n`()->etc``FCPAK1`1346149
pFortranCodeTools`0`n`()->etc``FCTOOL`0
pFortranOutputStackPackage`0`n`()->etc``FOP`1346773
pFractionFreeFastGaussianFractions`3`n`(D:Join(IntegralDomain,etc),V:FiniteAbelianMonoidRing(D,NonNegativeInteger),VF:FiniteAbelianMonoidRing(Fraction(D),NonNegativeInteger))->etc`(D,V,VF)`FFFGF`1346820
pFractionFreeFastGaussian`2`n`(D:Join(IntegralDomain,etc),V:AbelianMonoidRing(D,NonNegativeInteger))->etc`(D,V)`FFFG`1346929
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1347177
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`1347338
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1347490
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`1347757
pFreeModuleFunctions2`4`x`(R:CommutativeRing,S:Comparable,M1:FreeModuleCategory(R,S),M2:Module(R))->etc`(R,S,M1,M2)`FM2`1347848
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`1347894
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1347954
pFunctionSpaceAssertions`2`x`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1348357
pFunctionSpaceAttachPredicates`3`x`(R:Comparable,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1348444
pFunctionSpaceComplexIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1348531
pFunctionSpaceFunctions2`4`x`(R:Join(Ring,etc),A:FunctionSpace(R),S:Join(Ring,etc),B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1348660
pFunctionSpaceIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1348822
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1348941
pFunctionSpaceRationalRoots`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRROOT`0
pFunctionSpaceReduce`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1349049
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1349259
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1349306
pFunctionSpaceToUnivariatePowerSeries2`9`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:Join(OrderedAbelianMonoid,etc),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`1349397
pFunctionSpaceToUnivariatePowerSeries`8`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:Join(OrderedAbelianMonoid,etc),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`1349822
pFunctionalSpecialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSPECF`1350247
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1350311
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1350419
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1350500
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1350706
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1350780
pGcdBasis`1`n`(GcdDomain)->etc`(R)`GCDBAS`1350850
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1350995
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1351575
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1351713
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1351796
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`GENUPS`1351959
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1352108
pGnuDraw`0`x`()->etc``GDRAW`1352482
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`1352747
pGraphicsDefaults`0`x`()->etc``GRDEF`1352791
pGrayCode`0`n`()->etc``GRAY`1352885
pGroebnerFactorizationPackage`4`x`(Dom:Join(PolynomialFactorizationExplicit,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1353026
pGroebnerInternalPackage`3`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GBINTERN`1354081
pGroebnerPackage`3`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GB`1354379
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1355434
pGroupPresentationFunctions1`1`n`(SetCategory)->etc`(S)`GROUPPF1`0
pGuessAlgebraicNumber`0`n`()->etc``GUESSAN`1355712
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`1355784
pGuessFiniteFunctions`1`n`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF1`1355883
pGuessFinite`1`x`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF`1355966
pGuessInteger`0`x`()->etc``GUESSINT`1356045
pGuessPolynomialFunctions`1`n`(Ring)->etc`(R)`GUESSP1`1356115
pGuessPolynomialInteger`0`x`()->etc``GUESSPI`1356196
pGuessPolynomial`1`x`(Ring)->etc`(R)`GUESSP`1356286
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`1356358
pHallBasis`0`x`()->etc``HB`1356525
pHankelPackage`1`n`(Ring)->etc`(R)`HANKP`1357066
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1357110
pIdealDecompositionPackage`1`x`(List(Symbol))->etc`(vl)`IDECOMP`1357273
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1357582
pInfiniteLambertProduct`2`x`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1357656
pInfiniteTupleFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ITFUN2`1357731
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1357793
pInfinity`0`x`()->etc``INFINITY`1357857
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1357938
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:Join(LinearAggregate(R),etc),B:Join(LinearAggregate(Q),etc))->etc`(R,Q,A,B)`ICDEN`1358078
pInnerEigenPackage`1`n`(Field)->etc`(F)`IEP`1358247
pInnerMatrixLinearAlgebraFunctions`4`n`(R:DivisionRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1358557
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`1358717
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`1358983
pInnerModularHermitePade`0`n`()->etc``IMODHP`1359302
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1359685
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1359956
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1360104
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1360276
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1360878
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1360944
pInnerTrigonometricManipulations`3`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1360986
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1361171
pIntegerBits`0`n`()->etc``INTBIT`1361215
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`1361283
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1361394
pIntegerLinearDependence`1`x`(LinearlyExplicitOver(Integer))->etc`(R)`ZLINDEP`1361775
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1361829
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1361911
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1362119
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1362203
pIntegerSmithNormalForm`0`n`()->etc``ISMITH`0
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1362329
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1362512
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1362679
pIntegrateSolutions`2`n`(F:Join(Field,etc),L:Join(UnivariateSkewPolynomialCategory(F),etc))->etc`(F,L)`INTDSOL`1362797
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1362927
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1363060
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1363334
pIntegrationTools`2`n`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1363537
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1363686
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`1363760
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1364311
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1364372
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`1364957
pJetCoordinateTransformation`4`n`(JetBundleCategory,JB2:JetBundleCategory,Vector(JetBundleExpression(JB2)),Vector(JetBundleExpression(JB2)))->etc`(JB1,JB2,Y,W)`JCT`1365102
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`1365483
pKernelFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`KERNEL2`1365889
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1365954
pLLLReduction`0`n`()->etc``LLLRED`1366114
pLODOConvertions`3`n`(Coeff:Ring,Ab:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,Ab,R)`LODOCONV`1366378
pLUDecomposition`1`n`(Field)->etc`(D)`LUD`1366579
pLaplaceTransform`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1366720
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`1366781
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:GcdDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1367325
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1367560
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1368425
pLinearCombinationUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LINCOMB`0
pLinearDependence`2`n`(S:IntegralDomain,R:LinearlyExplicitOver(S))->etc`(S,R)`LINDEP`1368754
pLinearOrdinaryDifferentialOperator3Aux`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,A,R)`LODO3AUX`1368790
pLinearOrdinaryDifferentialOperatorFactorizer2`2`n`(Symbol,cen:Expression(Integer))->etc`(var,cen)`LODOF2`1368964
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1369137
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1369309
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1369444
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1369701
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`1369995
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1370071
pLiouvillianFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1370166
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1370243
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1370392
pListPackage`1`n`(BasicType)->etc`(T)`LISTPKG`1370543
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1370567
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`1370985
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`1371074
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1371109
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1371496
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1371889
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1372126
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1372188
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1372417
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1372482
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1372619
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1372681
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1372718
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1372755
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1372792
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1372829
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1372866
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`1372903
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1373057
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1373211
pMatrixManipulation`4`n`(R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:TwoDimensionalArrayCategory(R,Row,Col))->etc`(R,Row,Col,M)`MAMA`1373319
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1373540
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1373593
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`1373663
pModularAlgebraicGcd`3`n`(MPT:Type,MD:Type,ModularAlgebraicGcdOperations(Polynomial(Integer),MPT,MD))->etc`(MPT,MD,MO)`MAGCD`1374041
pModularDistinctDegreeFactorizer`1`x`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1374177
pModularFactorization`0`n`()->etc``MODFACT`1374408
pModularHermitePadeSolver`2`n`(CommutativeRing,S:CommutativeRing)->etc`(F,S)`MODHPS`1374527
pModularHermitePade`0`n`()->etc``MODHP`1374621
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1374911
pMomentPackage`1`n`(CommutativeRing)->etc`(R)`MOMPKG`1375053
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1375159
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1375292
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1375340
pMrvLimitPackage`0`n`()->etc``MRVLIM`1375608
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1375672
pMultiVariableCalculusFunctions`4`n`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:FiniteLinearAggregate(S))->etc`(S,F,FLAF,FLAS)`MCALCFN`1375754
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`1376041
pMultiplicativeDependence`0`n`()->etc``MULDEP`0
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(PolynomialFactorizationExplicit,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1376099
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1376263
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1376530
pNGroebnerPackage`3`n`(Dom:LeftOreRing,Expon:OrderedAbelianMonoidSup,Dpol:SolvableSkewPolynomialCategory(Dom,Expon))->etc`(Dom,Expon,Dpol)`NGROEB`1376925
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1377203
pNaiveBeckermannLabahnModular`0`n`()->etc``NBLM`1377435
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1377751
pNewtonInterpolation`1`n`(IntegralDomain)->etc`(F)`NEWTON`1378077
pNonLinearFirstOrderODESolver`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1378212
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1378366
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1378600
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1378761
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1378878
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`1378913
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1379054
pNumberFormats`0`n`()->etc``NUMFMT`1379293
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1379446
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1379512
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1379784
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1379923
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1380158
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1380340
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1380441
pNumericalQuadrature`1`x`(FloatingPointSystem)->etc`(F)`NUMQUAD`1385248
pODEIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1388680
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1388847
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1388913
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1389094
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1389253
pOpenMathPackage`0`x`()->etc``OMPKG`1389328
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1389435
pOperationsQuery`0`x`()->etc``OPQUERY`1389804
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1389887
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1389960
pOrePolynomialMatrixOperations`2`n`(F:Field,LO:UnivariateSkewPolynomialCategory(F))->etc`(F,LO)`OREMAT`0
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1390090
pOutputFormTools`0`n`()->etc``OFTOOL`0
pOutputPackage`0`x`()->etc``OUT`1390167
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1390224
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1390778
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1391113
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1391438
pParallelIntegrationTools`3`n`(R:Field,V:OrderedSet,P:PolynomialCategory(R,IndexedExponents(V),V))->etc`(R,V,P)`PIT`0
pParametricIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPAR2`0
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1391507
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1392603
pParametricRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEPAR`0
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1392638
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1392673
pParametricTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTPAR1`0
pPartialDifferentialOperatorHelper`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->etc`(R,Var)`PDOHLP`0
pPartialFractionPackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1392708
pPartialFractionUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PFUTIL`0
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1392979
pPathArrayPackage`1`n`(Ring)->etc`(R)`PARRPKG`1393144
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1393202
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1393230
pPatternMatchAssertions`0`x`()->etc``PMASS`1393262
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1393350
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1393427
pPatternMatchIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1393497
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(Comparable,etc))->etc`(S,E)`PMKERNEL`1393692
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1393761
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`1393828
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1393901
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1393979
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1394050
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1394098
pPatternMatchTools`3`n`(S:SetCategory,R:Join(Comparable,etc),P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1394167
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1394228
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1394300
pPermutationGroupExamples`0`x`()->etc``PGE`1394397
pPiCoercions`1`x`(Join(Comparable,etc))->etc`(R)`PICOERCE`1394803
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1394964
pPlotTools`0`n`()->etc``PLOTTOOL`1395118
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1395162
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1395197
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1395232
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1395334
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`1395434
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1395536
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1395618
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1396340
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`1396453
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`1396750
pPolynomialCommonDenominator`5`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:PolynomialCategory(Q,E,VarSet))->etc`(R,Q,E,VarSet,P)`PCDEN`1396874
pPolynomialEvaluationUtilities`0`n`()->etc``PEVALUT`1397061
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1397600
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1397819
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`1397963
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`1398290
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1398344
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1398398
pPolynomialRationalRoots`2`n`(F:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PRROOT`0
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`1398493
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1398569
pPolynomialSolveByFormulas`2`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc))->etc`(UP,F)`SOLVEFOR`1398859
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1399099
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1399532
pPosetFactory`1`n`(SetCategory)->etc`(S)`POSETF`1399765
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1399982
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1400228
pPrimGCD`0`n`()->etc``PRIGCD3`1400406
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1400679
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1400832
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1400931
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1401162
pPrintPackage`0`x`()->etc``PRINT`1401228
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1401293
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1401410
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1402172
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`1402342
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1402436
pQuasiAlgebraicSet2`1`n`(List(Symbol))->etc`(vl)`QALGSET2`1402473
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`1403730
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1403904
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1404102
pRDEaux`1`n`(Field)->etc`(F)`RDEAUX`0
pRadicalEigenPackage`0`x`()->etc``REP`1404211
pRadicalSolvePackage`1`x`(Join(PolynomialFactorizationExplicit,etc))->etc`(R)`SOLVERAD`1404493
pRadixUtilities`0`x`()->etc``RADUTIL`1404666
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1404733
pRandomFloatDistributions`0`n`()->etc``RFDIST`1404783
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1404848
pRandomNumberSource`0`x`()->etc``RANDSRC`1404899
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`1405091
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1405683
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1405810
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1405932
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1406015
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1406069
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1406142
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1406187
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1406285
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1406367
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1406430
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1406581
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1406664
pRationalUnivariateRepresentationPackage`2`n`(Join(PolynomialFactorizationExplicit,etc),List(Symbol))->etc`(R,ls)`RURPK`1406729
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1407167
pRealSolvePackage`0`n`()->etc``REALSOLV`1407268
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1407386
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1407692
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`1407997
pRecurrenceOperator`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`RECOP`1408173
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`1408356
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`1408458
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1408573
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`1408724
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`1410051
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1410209
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1410264
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1410319
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1410839
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1411410
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1411509
pRootFSSplit`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`RFSSPLIT`0
pSTransformPackage`4`x`(R:Join(CommutativeRing,etc),UTSR:UnivariateTaylorSeriesCategory(R),ULSR:UnivariateLaurentSeriesConstructorCategory(R,UTSR),UPSR:UnivariatePuiseuxSeriesConstructorCategory(R,ULSR))->etc`(R,UTSR,ULSR,UPSR)`STRANS`1411661
pScanningUtilities`0`n`()->etc``SCANUTIL`0
pScriptFormulaFormat1`1`n`(SetCategory)->etc`(S)`FORMULA1`1411741
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1411907
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1412010
pSequenceFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`SEQU2`1412088
pSimplicialComplexFactory`1`n`(AbelianGroup)->etc`(VS)`SIMPCF`1412137
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1412207
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1412315
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1412422
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1412471
pSparsePolynomialCoercionHelpers`3`n`(Ring,VarSet1:OrderedSet,VarSet2:OrderedSet)->etc`(R,VarSet1,VarSet2)`SMPCOER`0
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1412831
pSpecialFunctionUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`SPFUTS`0
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1413157
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`1413273
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`1413456
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`1414704
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1414964
pStreamExponentialSeriesOperations`1`n`(CommutativeRing)->etc`(Coef)`STEXPS`1415264
pStreamExponentialSeriesTranscendentalFunctions`1`n`(Join(Algebra(Fraction(Integer)),etc))->etc`(Coef)`STEXPST`1415428
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1415634
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1415696
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1415759
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1415824
pStreamTensor`1`n`(Type)->etc`(R)`STNSR`0
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1415970
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1416176
pStructuralConstantsPackage`1`x`(Field)->etc`(R)`SCPKG`1416340
pSturmHabichtPackage`2`x`(R:OrderedIntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SHP`1416528
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1416649
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1416921
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1416989
pSymmetryAnalysis`3`n`(JetBundleCategory,xi:Union(Symbol,List(Symbol)),eta:Union(Symbol,List(Symbol)))->etc`(JB1,xi,eta)`SYMANA`1417196
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1417478
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`1417603
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1418474
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1418674
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1419105
pTaylorSolve`3`n`(F:Field,UTSF:UnivariateTaylorSeriesCategory(F),UTSSMPF:UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(F,UTSF,UTSSMPF)`UTSSOL`0
pTemplateUtilities`0`n`()->etc``TEMUTL`1419159
pTensorPowerFunctions2`5`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M1:FreeModuleCategory(R,B),M2:Module(R))->etc`(n,R,B,M1,M2)`TENSPO2`1419225
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1419272
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1419417
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1419463
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1419583
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1419699
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1419828
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1419924
pTransSolvePackageService`1`n`(Join(Comparable,etc))->etc`(R)`SOLVESER`1419999
pTransSolvePackage`1`x`(Join(Comparable,etc))->etc`(R)`SOLVETRA`1420560
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1421408
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1421460
pTranscendentalManipulations`2`x`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1421552
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`1421678
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1421813
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1422290
pTubePlotTools`0`n`()->etc``TUBETOOL`1422442
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`0
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1422519
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1422633
pU32VectorPolynomialOperations`0`n`()->etc``POLYVEC`1422801
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1423143
pUnitGaussianElimination`0`n`()->etc``UGAUSS`1423273
pUnittestAux`1`n`(BasicType)->etc`(R)`TESTAUX`1423349
pUnittestCount`0`n`()->etc``TESTCNT`1423490
pUnittest`0`n`()->etc``TESTUNIT`1423772
pUnivariateFormalPowerSeriesFunctions`1`n`(Ring)->etc`(Coef)`UFPS1`0
pUnivariateLaurentSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1423999
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Join(SemiRng,etc),PR:UnivariatePolynomialCategory(R),S:Join(SemiRng,etc),PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1424177
pUnivariatePolynomialCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`0
pUnivariatePolynomialDecompositionPackage`2`x`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1424321
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1424507
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1424654
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1425000
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1425292
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1425969
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1426120
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1426249
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1426426
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1426578
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1426656
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1426723
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1426957
pVectorHermitePadeSolver`0`n`()->etc``VHPSOLV`0
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1427263
pViewportPackage`0`n`()->etc``VIEW`1427352
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1427479
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1428067
pXDistributedPolynomialFunctions`2`n`(OrderedSet,F:Field)->etc`(VAR,F)`XDPOLYF`1428431
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1428723
pXPolynomialFactor`2`n`(OrderedSet,F:Field)->etc`(vl,F)`XPFACT`0
pZeroDimensionalSolvePackage`3`x`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1428901
pcompCode`0`n`()->etc``COMPCODE`1430226
pcompUtil`1`n`(VarCat)->etc`(UT)`COMPUTIL`1431070
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1431103
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1431232
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1431354
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1431960
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1432114
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1432638
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1432732
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),Join(Comparable,etc))->etc`(S,R)`ACFS-`1432779
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1432835
xAssociationListAggregate&`3`n`(AssociationListAggregate(Key,Entry),SetCategory,Entry:Type)->etc`(S,Key,Entry)`ALAGG-`1432893
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1433063
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1433292
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1433411
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1433552
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1433771
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1433871
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1434313
xDictionary&`2`n`(Dictionary(S),S:Type)->etc`(A,S)`DIAGG-`1434401
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:Type)->etc`(A,S)`DIOPS-`1434722
xDifferentialExtension&`2`n`(DifferentialExtension(R),R:Ring)->etc`(S,R)`DIFEXT-`1434853
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1434982
xDifferentialRing&`1`n`(DifferentialRing)->etc`(S)`DIFRING-`1436311
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1436424
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1438819
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1438977
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1439147
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:Type,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1439194
xEntireRing&`1`n`(EntireRing)->etc`(S)`ENTIRER-`1439566
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1439717
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1440108
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1440266
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1440344
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1440740
xFacetCategory&`1`n`(FacetCategory)->etc`(S)`FACTCAT-`1440829
xField&`1`n`(Field)->etc`(S)`FIELD-`1440999
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1441222
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1441465
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1441696
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1441868
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-`1443421
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1443652
xFiniteGraph&`2`n`(FiniteGraph(S),S:SetCategory)->etc`(A,S)`FGRPH-`1443713
xFiniteGroup&`1`n`(FiniteGroup)->etc`(S)`FINGRP-`1443793
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1443832
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1443955
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1444107
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1444311
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1445348
xFramedModule&`2`n`(FramedModule(R),R:Join(SemiRng,etc))->etc`(S,R)`FRMOD-`1445462
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1445559
xFreeModuleCategory&`3`n`(FreeModuleCategory(R,S),Join(SemiRng,etc),S:SetCategory)->etc`(A,R,S)`FMCAT-`1445838
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1446873
xFullyLinearlyExplicitOver&`2`n`(FullyLinearlyExplicitOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1446996
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1447216
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1447624
xFunctionSpace&`2`n`(FunctionSpace(R),R:Comparable)->etc`(S,R)`FS-`1447708
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1447788
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1448096
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1448452
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1449005
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1449118
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1449659
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:Type,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1449720
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1449980
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1450306
xJetBundleBaseFunctionCategory&`2`n`(JetBundleBaseFunctionCategory(JB),JetBundleCategory)->etc`(S,JB)`JBBFC-`1450373
xJetBundleCategory&`1`n`(JetBundleCategory)->etc`(S)`JBC-`1450664
xJetBundleFunctionCategory&`2`n`(JetBundleFunctionCategory(JB),JB:JetBundleCategory)->etc`(S,JB)`JBFC-`1451349
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`KDAGG-`1451785
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1451895
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1452210
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1452276
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1452493
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1453190
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1453457
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1453646
xMagma&`1`n`(Magma)->etc`(S)`MAGMA-`1453734
xMagmaWithUnit&`1`n`(MagmaWithUnit)->etc`(S)`MAGMAWU-`1453841
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:AbelianMonoid,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1454305
xMaybeSkewPolynomialCategory&`4`n`(MaybeSkewPolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`GPOLCAT-`1454923
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1455108
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1455176
xMultivariateTaylorSeriesCategory&`3`n`(MultivariateTaylorSeriesCategory(Coef,Var),Coef:Ring,Var:OrderedSet)->etc`(S,Coef,Var)`MTSCAT-`1455287
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1455396
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NARING-`1455593
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1455740
xNonAssociativeSemiRng&`1`n`(NonAssociativeSemiRng)->etc`(S)`NASRNG-`1456098
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1456227
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1456450
xOpenMath&`1`n`(OpenMath)->etc`(S)`OM-`1457259
xOrderedRing&`1`n`(OrderedRing)->etc`(S)`ORDRING-`1457351
xOrderedSet&`1`n`(OrderedSet)->etc`(S)`ORDSET-`1457486
xPartialDifferentialRing&`2`n`(PartialDifferentialRing(S),S:SetCategory)->etc`(A,S)`PDRING-`1457807
xPartialOrder&`1`n`(PartialOrder)->etc`(S)`PORDER-`1457914
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1458033
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1458250
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-`1458385
xPoset&`2`n`(Poset(S),S:SetCategory)->etc`(A,S)`POSET-`1459001
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1459478
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1459604
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1459743
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1459836
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1459908
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1460004
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1460300
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-`1460412
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1460642
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1461102
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-`1461583
xRetractableFrom&`2`n`(RetractableFrom(S),S:Type)->etc`(A,S)`RETFROM-`1463869
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1464048
xRng&`1`n`(Rng)->etc`(S)`RNG-`1464225
xSPointCategory&`1`n`(SPointCategory)->etc`(S)`SPTCAT-`1464451
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1464782
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1465109
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-`1465382
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1465639
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1465902
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`TBAGG-`1466007
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-`0
xTensorPowerCategory&`4`n`(TensorPowerCategory(n,R,M),NonNegativeInteger,R:CommutativeRing,M:Module(R))->etc`(S,n,R,M)`TENSPC-`1466129
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1466198
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-`1466260
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1467350
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:IndexedAggregate(Integer,R),Col:IndexedAggregate(Integer,R))->etc`(S,R,Row,Col)`ARR2CAT-`1467400
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1467957
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1468451
xUnivariateLaurentSeriesCategory&`2`n`(UnivariateLaurentSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`ULSCAT-`1468625
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1468727
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Join(SemiRng,etc))->etc`(S,R)`UPOLYC-`1469024
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1469173
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1469521
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1469822
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1470206
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1470306
xVectorSpace&`2`n`(VectorSpace(S),S:Field)->etc`(A,S)`VSPACE-`1470727
