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dArrayStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`61249
dAssociatedJordanAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`61296
dAssociatedLieAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`62508
dAssociationList`2`n`(SetCategory,Entry:Type)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`63549
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`63856
dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`63942
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`64294
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`64516
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`64731
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`64865
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`64955
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`65204
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`65494
dBitStreamFrame`0`n`()->Join(Lattice,etc)``BITST`65728
dBits`0`x`()->Join(BitAggregate,etc)``BITS`65810
dBoolean`0`x`()->Join(OrderedSet,etc)``BOOLEAN`65877
dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`65984
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`67376
dCell`1`n`(RealClosedField)->Join(CoercibleTo(OutputForm),etc)`(TheField)`CELL`0
dChainComplex`0`n`()->Join(SetCategory,etc)``CHAINC`67624
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`68035
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`68125
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,SquareMatrix(n,K))->Join(Ring,etc)`(n,K,bLin)`CLIF`68183
dCoChainComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`COCHNC`68446
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`68861
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`68971
dComplexDoubleFloatMatrix`0`n`()->MatrixCategory(Complex(DoubleFloat),ComplexDoubleFloatVector,ComplexDoubleFloatVector)``CDFMAT`69006
dComplexDoubleFloatVector`0`n`()->Join(VectorCategory(Complex(DoubleFloat)),etc)``CDFVEC`69226
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`69445
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`69650
dCubicalFacet`0`n`()->Join(FacetCategory,etc)``CFACET`70234
dCyclicGroup`2`n`(PositiveInteger,Symbol)->Join(FiniteGroup,etc)`(n,g)`CYCGRP`70569
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`70610
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`70666
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`70773
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`71038
dDeltaComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`DELTAC`71129
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`71767
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`72054
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`72100
dDihedralGroup`3`n`(PositiveInteger,Symbol,Symbol)->Join(FiniteGroup,etc)`(n,a,b)`DIHGRP`72366
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`72499
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`72585
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->Join(DirectProductCategory(dim,R),etc)`(dim,R)`DIRPROD`72684
dDirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`DGRPH`73284
dDirichletRing`1`n`(Ring)->Join(Ring,etc)`(Coef)`DIRRING`73364
dDistributedJetBundlePolynomial`4`n`(Ring,JB:JetBundleCategory,LJV:List(JB),E:DirectProductCategory(#(LJV),NonNegativeInteger))->Join(PolynomialCategory(R,E,JB),etc)`(R,JB,LJV,E)`DJBP`73467
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`73732
dDistribution`1`x`(CommutativeRing)->Join(DistributionCategory(R),etc)`(R)`DISTRO`74086
dDoubleFloatMatrix`0`n`()->MatrixCategory(DoubleFloat,DoubleFloatVector,DoubleFloatVector)``DFMAT`74231
dDoubleFloatVector`0`n`()->Join(VectorCategory(DoubleFloat),etc)``DFVEC`74443
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`74654
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`76501
dElementaryFunctionsGeneralizedUnivariatePowerSeries`3`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,PS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc))->Join(PartialTranscendentalFunctions(PS),etc)`(Coef,Expon,PS)`EFGUSER`76595
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`76624
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`77034
dEnumeration`1`x`special`(a,b,...,c)`ENUM`77444
dEqTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`77600
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`77765
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`78005
dExit`0`x`()->SetCategory``EXIT`78205
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`78492
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Join(Field,etc),var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`78776
dExpression`1`x`(Comparable)->Join(FunctionSpace(R),etc)`(R)`EXPR`79548
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`79596
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`80431
dFakePolynomial`0`n`()->Join(CoercibleTo(OutputForm),etc)``FAKEPOL`81267
dFileName`0`x`()->FileNameCategory``FNAME`81598
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`81667
dFiniteBiCPO`1`n`(SetCategory)->BiCPO(S)`(S)`FBICPO`81801
dFiniteCoDcpo`1`n`(SetCategory)->CoDcpo(S)`(S)`FCDCPO`82237
dFiniteCubicalComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`CUBEC`82701
dFiniteDcpo`1`n`(SetCategory)->Dcpo(S)`(S)`FDCPO`83002
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`83466
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`83695
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`84294
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`84923
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`85571
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`85845
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`86144
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`86653
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`87159
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`87647
dFiniteLattice`2`n`(S:SetCategory,FiniteBiCPO(S))->Join(Lattice,etc)`(S,p)`FINLAT`87846
dFiniteMoebiusFunction`1`n`(Join(PartialOrder,etc))->Join(SetCategory,etc)`(P)`FMOEBF`88104
dFinitePoset`1`n`(SetCategory)->Poset(S)`(S)`FPOSET`88183
dFiniteSimplicialComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`SIMPC`88647
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`89115
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`90113
dFormat1D`0`n`()->FormatterCategory``FMT1D`93860
dFormat2D`0`n`()->FormatterCategory``FMT2D`94027
dFormatLaTeX`0`n`()->Join(FormatterCategory,etc)``FMTLATEX`94141
dFormatMathJax`0`n`()->Join(FormatterCategory,etc)``FMTMJAX`94550
dFormattedOutput`0`n`()->Join(OutputFormatterCategory,etc)``FMTOUT`94737
dFormatter`1`n`(FormatterCategory)->Join(OutputFormatterCategory,etc)`(F)`FORMAT`0
dFortranCode`0`n`()->Join(SetCategory,etc)``FC`94958
dFortranExpression`3`n`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`95064
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`95223
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`95393
dFortranTemplate`0`n`()->Join(FileCategory(FileName,String),etc)``FTEM`95533
dFortranType`0`n`()->Join(SetCategory,etc)``FT`95576
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`95684
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`95861
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`96038
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`96306
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`96356
dFreeDivisionAlgebra`2`n`(OrderedSet,F:Field)->Join(DivisionRing,etc)`(VAR,F)`FDALG`96401
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`96510
dFreeMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`FMAGMA`96765
dFreeModule`2`n`(Join(SemiRng,etc),S:SetCategory)->Join(BiModule(R,R),etc)`(R,S)`FM`96964
dFreeMonoid`1`n`(SetCategory)->Join(Monoid,etc)`(S)`FMONOID`97765
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`98370
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`98510
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`98837
dFunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`FNGRPH`98882
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`98931
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`99483
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`99516
dGeneralQuaternion`3`n`(R:CommutativeRing,R,R)->QuaternionCategory(R)`(R,p,q)`QUAT2`99552
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:BasicType,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`99870
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`99988
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`100464
dGeneralizedFiniteMoebiusFunction`2`n`(Join(PartialOrder,etc),R:Field)->etc`(P,R)`GENMOEBF`100764
dGeneralizedUnivariatePowerSeries`4`n`(Coef:Ring,Expon:Join(OrderedAbelianMonoid,etc),Symbol,Coef)->Join(UnivariatePowerSeriesCategory(Coef,Expon),etc)`(Coef,Expon,var,cen)`GENUSER`100836
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`100865
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`101031
dGroupPresentation`0`n`()->Join(SetCategory,etc)``GROUPP`101142
dGuessOptionFunctions0`0`n`()->Join(SetCategory,etc)``GOPT0`101580
dGuessOption`0`x`()->Join(SetCategory,etc)``GOPT`101692
dHTMLFormat`0`n`()->Join(SetCategory,etc)``HTMLFORM`101783
dHashState`0`n`()->etc``HASHSTAT`101867
dHashTable`3`n`(SetCategory,Entry:Type,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`101934
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`102093
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`102160
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->DirectProductCategory(dim,S)`(dim,S)`HDP`102255
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`102593
dHomology`0`n`()->Join(SetCategory,etc)``HOMOL`102993
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`103334
dI16Matrix`0`n`()->MatrixCategory(Integer,I16Vector,I16Vector)``I16MAT`103679
dI16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I16VEC`103874
dI32Matrix`0`n`()->MatrixCategory(Integer,I32Vector,I32Vector)``I32MAT`104067
dI32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I32VEC`104262
dI8Matrix`0`n`()->MatrixCategory(Integer,I8Vector,I8Vector)``I8MAT`104455
dI8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I8VEC`104649
dILogic`0`n`()->Join(BoundedLattice,etc)``ILOGIC`104841
dIncidenceAlgebra`2`n`(Ring,S:SetCategory)->Join(SetCategory,etc)`(R,S)`INCALG`104897
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`104953
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`105048
dIndexedDirectProductObject`2`n`(SetCategory,S:SetCategory)->Join(IndexedDirectProductCategory(A,S),etc)`(A,S)`IDPO`105146
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`105627
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`105849
dIndexedJetBundle`5`n`(Symbol,Symbol,Symbol,PositiveInteger,PositiveInteger)->JetBundleCategory`(x,u,p,n,m)`IJB`106924
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`107065
dIndexedMatrix`3`n`(AbelianMonoid,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`107315
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`107777
dIndexedString`1`n`(Integer)->StringAggregate`(mn)`ISTRING`107885
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`107932
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`108502
dInfiniteCyclicGroup`1`n`(Symbol)->Join(Group,etc)`(g)`INFCG`108620
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`108650
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`108765
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`108993
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`109150
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`109266
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`109831
dInnerTable`3`n`(Key:SetCategory,Entry:Type,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`109958
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`110066
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat),etc)``INFORM`110442
dIntegerLocalizedAtPrime`1`n`(PositiveInteger)->Join(EuclideanDomain,etc)`(p)`INTLOCP`110594
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`110805
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`110898
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`110976
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`111471
dJetBundleExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBE`111766
dJetBundleLinearFunction`2`n`(JB:JetBundleCategory,D:JetBundleBaseFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JBLF`112100
dJetBundlePolynomial`2`n`(Ring,JB:JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(R,JB)`JBP`112254
dJetBundleSymAna`3`n`(JetBundleCategory,Union(Symbol,List(Symbol)),Union(Symbol,List(Symbol)))->Join(JetBundleCategory,etc)`(JB1,xi,eta)`JBSA`112411
dJetBundleXExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBX`112639
dJetBundle`2`n`(List(Symbol),List(Symbol))->Join(JetBundleCategory,etc)`(IVar,DVar)`JBUNDLE`112902
dJetDifferentialEquation`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`JDE`113072
dJetDifferential`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JDIFF`113676
dJetLazyFunction`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JLF`113903
dJetVectorField`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JVF`114824
dKernel`1`n`(Comparable)->Join(CachableSet,etc)`(S)`KERNEL`114996
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`115098
dLambda`1`n`(VarCat)->Join(CoercibleTo(OutputForm),etc)`(UT)`LAMBDA`115195
dLatticeJoinOfMeets`0`n`()->Join(BoundedDistributiveLattice,etc)``LATJOFM`115226
dLatticeMeetOfJoins`0`n`()->Join(BoundedDistributiveLattice,etc)``LATMOFJ`115282
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`115338
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`115467
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`115532
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`115900
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(CoercibleTo(SquareMatrix(n,R)),etc)`(n,R)`LSQM`116092
dLinearMultivariateMatrixPencil`1`n`(Ring)->etc`(R)`LINPEN`116447
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`116719
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`116965
dLinearOrdinaryDifferentialOperator3`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->LinearOrdinaryDifferentialOperatorCategory(R)`(Coeff,A,R)`LODO3`117246
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`117503
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`117759
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`117930
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`118317
dLocalAlgebra`2`n`(Algebra(R),R:CommutativeRing)->Join(Algebra(R),etc)`(A,R)`LA`118606
dLocalize`2`n`(Module(R),R:CommutativeRing)->Join(Module(R),etc)`(M,R)`LO`118746
dLoop`0`n`()->Join(SetCategory,etc)``LOOP`118908
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`119218
dMachineComplex`0`n`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`120033
dMachineFloat`0`n`()->Join(FloatingPointSystem,etc)``MFLOAT`120135
dMachineInteger`0`n`()->Join(FortranMachineTypeCategory,etc)``MINT`120237
dMakeCachableSet`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`MKCHSET`120332
dMapping`1`x`special`(T,S)`MAPPING`120424
dMathMLFormat`0`n`()->Join(SetCategory,etc)``MMLFORM`120664
dMatrix`1`x`(AbelianMonoid)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`120759
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(Ring,etc)`(R,Rep)`MODMON`120860
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
dModularFactorizationTools1`0`n`()->ModularFactorizationOperations(U32Vector,U32Matrix,Integer,List(Record(ind:NonNegativeInteger,poly:U32Vector)))``MODFT1`0
dModularFactorizationTools3`1`n`(FiniteFieldCategory)->Join(ModularFactorizationOperations(PrimitiveArray(K),PrimitiveTwoDimensionalArray(K),Record(i_mod:Integer,deg:Integer),Record(mod_data:Record(i_mod:Integer,deg:Integer),p_mod:PrimitiveArray(K))),etc)`(K)`MODFT3`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`121097
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`121319
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`121529
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`121562
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`121611
dMonoidRing`2`n`(Ring,M:Monoid)->MonoidRingCategory(R,M)`(R,M)`MRING`121734
dMultifunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`MFGRPH`122679
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`122728
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`122775
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`123097
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`123350
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`123536
dNonNegativeRational`0`n`()->Join(OrderedAbelianMonoidSup,etc)``NNRAT`123632
dNone`0`n`()->SetCategory``NONE`123726
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`124000
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`124514
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`124573
dOpenMathConnection`0`x`()->etc``OMCONN`124647
dOpenMathDevice`0`x`()->etc``OMDEV`124784
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`124976
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`125050
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`125216
dOperatorHandlers`1`n`(Type)->etc`(HANDLER)`OPHANDL`125281
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`125466
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`125515
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`125774
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoid,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`125859
dOrderedExpression`0`n`()->Join(OrderedRing,etc)``OEXPR`0
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`126189
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`126236
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`126542
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(%,%),etc)`(Kernels,R,var)`ODR`127221
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`127342
dOrientedFacet`0`n`()->Join(FacetCategory,etc)``OFACET`127570
dOutputBox`0`n`()->Join(CoercibleTo(OutputForm),etc)``OUTBOX`127899
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`128231
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`128493
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`128688
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`128761
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`128946
dParametricComplexCurve`1`x`(Type)->etc`(VT)`PARCCURV`129014
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`129362
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`129455
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`129546
dPartialDifferentialOperator`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var)`PDO`129630
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`129905
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`130750
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`130995
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`131231
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`131452
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`131499
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`131638
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`132098
dPiDomain`0`x`()->Join(Field,etc)``HACKPI`132582
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`132860
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`133091
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`133427
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`133792
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`134127
dPolynomialIdeal`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`134183
dPolynomialRing`2`n`(Join(SemiRng,etc),E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`134685
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`135049
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`135338
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`135427
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`135562
dPrimitiveTwoDimensionalArray`1`n`(Type)->Join(TwoDimensionalArrayCategory(S,PrimitiveArray(S),PrimitiveArray(S)),etc)`(S)`PRIMMAT2`135707
dProductFacet`0`n`()->Join(FacetCategory,etc)``PFACET`135936
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`136269
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`136533
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`136596
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`138288
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`138387
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`138440
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`138484
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`138549
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`138694
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`138761
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`138998
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`139133
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`139224
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`139446
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`139699
dResult`0`n`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`139901
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`140097
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`140237
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`140333
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`140439
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`140480
dSArgand`0`n`()->Join(SPointCategory,etc)``SARGND`140549
dSBoundary`1`n`(SPointCategory)->etc`(PT)`SBOUND`140686
dSCartesian`1`n`(PositiveInteger)->SPointCategory`(n)`SCRT`142298
dSConformal`1`n`(PositiveInteger)->Join(SPointCategory,etc)`(n)`SCONF`142409
dSExpressionOf`4`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt)`(Str,Sym,Int,Flt)`SEXOF`142505
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat)``SEX`142591
dSKICombinators`1`n`(VarCat)->Join(SetCategory,etc)`(UT)`SKICOMB`142659
dSTransform`1`n`(SPointCategory)->etc`(PT)`STR`142715
dSceneIFS`1`n`(SPointCategory)->etc`(PT)`SCIFS`143038
dSceneNamedPoints`1`n`(SPointCategory)->Join(SetCategory,etc)`(PT)`SCNP`143390
dScene`1`n`(SPointCategory)->etc`(PT)`SCENE`143598
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`143686
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`143841
dSequence`1`x`(CommutativeRing)->SequenceCategory(R)`(R)`SEQU`143914
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`144023
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`144280
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`144946
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`145060
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->Join(MonogenicAlgebra(R,UP),etc)`(R,UP,M)`SAE`146150
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`146720
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`146966
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`147037
dSmallOrdinal`0`n`()->Join(OrderedAbelianMonoid,etc)``SORD`147139
dSortedExponentVector`0`n`()->OneDimensionalArrayAggregate(Integer)``SOREXPV`147334
dSparseEchelonMatrix`2`n`(OrderedSet,D:Ring)->Join(CoercibleTo(OutputForm),etc)`(C,D)`SEM`147440
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`147851
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`148199
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`148491
dSparseTable`3`n`(SetCategory,Ent:BasicType,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`148783
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`148901
dSparseUnivariatePolynomial`1`n`(Join(SemiRng,etc))->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`149458
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`149832
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`150400
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`150562
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoid)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`151136
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`151601
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`152215
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`153189
dSquareMatrix`2`n`(NonNegativeInteger,R:Join(SemiRng,etc))->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`153464
dStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`STACK`153610
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`153654
dStringTable`1`n`(Type)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`153832
dString`0`x`()->Join(StringCategory,etc)``STRING`153943
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`153990
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`154056
dSubsetLattice`2`n`(S:SetCategory,List(S))->Join(Lattice,etc)`(S,top)`SETLAT`154088
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`154346
dSwitch`0`n`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`154393
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`154505
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`154575
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`154609
dTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`154659
dTableau`1`x`(SetCategory)->Join(CoercibleTo(OutputForm),etc)`(S)`TABLEAU`154883
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`155012
dTensorPower`4`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M:FreeModuleCategory(R,B))->Join(TensorPowerCategory(n,R,M),etc)`(n,R,B,M)`TENSPOW`155143
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`155279
dTexFormat`0`n`()->Join(SetCategory,etc)``TEX`155545
dTexmacsFormat`0`n`()->Join(SetCategory,etc)``TMFORM`156288
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`156385
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`156523
dThreeDimensionalMatrix`1`n`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`156673
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`156756
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`156823
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`157005
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`157162
dTuple`1`n`(Type)->Join(CoercibleTo(PrimitiveArray(S)),etc)`(S)`TUPLE`157309
dTwoDimensionalArray`1`n`(Type)->TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R))`(R)`ARRAY2`157439
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`157557
dTyped`0`n`()->VarCat``TYPED`157623
dU16Matrix`0`n`()->MatrixCategory(Integer,U16Vector,U16Vector)``U16MAT`157681
dU16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U16VEC`157878
dU32Matrix`0`n`()->MatrixCategory(Integer,U32Vector,U32Vector)``U32MAT`158073
dU32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U32VEC`158270
dU64Int`0`n`()->Join(Ring,etc)``U64INT`158465
dU8Matrix`0`n`()->MatrixCategory(Integer,U8Vector,U8Vector)``U8MAT`158592
dU8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U8VEC`158788
dUndirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`UDGRPH`158982
dUnion`1`x`special`(A,B,...,C)`UNION`159031
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`159180
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`159507
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`160051
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`160266
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`160597
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`161117
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`161672
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`161847
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`162308
dUntyped`0`n`()->VarCat``UNTYPED`162425
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`163006
dVectorIntegerReconstructor`0`n`()->etc``VECREC2`163045
dVectorModularReconstructor`0`n`()->etc``VECREC1`163457
dVectorSpaceBasis`1`n`(Field)->Join(BasicType,etc)`(R)`VSBASIS`164001
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`164281
dVoid`0`x`()->etc``VOID`164408
dWeightedGraph`2`n`(SetCategory,W:OrderedAbelianMonoid)->Join(FiniteGraph(S),etc)`(S,W)`WGRPH`164632
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`165143
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`165405
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(vl,R),etc)`(vl,R)`XDPOLY`166104
dXHashTable`2`n`(Hashable,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`XHASHTBL`166308
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`166418
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(XAlgebra(R),etc)`(R,E)`XPR`166702
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`167003
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`167270
dXmlAttribute`0`n`()->etc``XMLAT`167480
dXmlElement`0`n`()->etc``XMLEL`167646
o#`1`n`(%)->NonNegativeInteger`dTuple(S)``167899
o#`1`n`(%)->NonNegativeInteger`dXPolynomialRing(R,E)``167967
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`x`(%)->Integer`cSExpressionCategory(Str,Sym,Int,Flt)``168026
o#`1`x`(%)->NonNegativeInteger`cAggregate`has(%,finiteAggregate)`168079
o*`2`n`(%,%)->%`dFreeMagma(VarSet)``168142
o*`2`n`(%,%)->%`dIncidenceAlgebra(R,S)``168193
o*`2`n`(%,%)->%`dInputForm``168309
o*`2`n`(%,%)->%`dOutputForm``168382
o*`2`n`(%,%)->%`dPattern(R)``168436
o*`2`n`(%,%)->%`dVectorSpaceBasis(R)``168489
o*`2`n`(%,%)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``168563
o*`2`n`(%,%)->FunctionGraph(Product(S,S))`dFunctionGraph(S)``168996
o*`2`n`(%,%)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``169479
o*`2`n`(%,%)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``169877
o*`2`n`(%,%)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``170275
o*`2`n`(%,Coef)->%`dInnerTaylorSeries(Coef)``170673
o*`2`n`(%,Integer)->%`dInnerTaylorSeries(Coef)``170747
o*`2`n`(%,Matrix(F))->%`dFreeDivisionAlgebra(VAR,F)``170829
o*`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``170870
o*`2`n`(%,R)->%`dIncidenceAlgebra(R,S)``170915
o*`2`n`(%,R)->%`dXPolynomialRing(R,E)``171008
o*`2`n`(%,S)->%`dFreeGroup(S)``171070
o*`2`n`(%,S)->%`dFreeMonoid(S)``171147
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``171224
o*`2`n`(Coef,%)->%`dInnerTaylorSeries(Coef)``171372
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(D,%)->%`dJetLazyFunction(JB,D)``171446
o*`2`n`(DoubleFloat,%)->%`cSPointCategory``171589
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``171921
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)``172107
o*`2`n`(Matrix(F),%)->%`dFreeDivisionAlgebra(VAR,F)``172176
o*`2`n`(Matrix(Fraction(D)),%)->%`dSparseEchelonMatrix(C,D)`has(D,IntegralDomain)`172214
o*`2`n`(Matrix(R),%)->%`dLinearMultivariateMatrixPencil(R)``172319
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)``172361
o*`2`n`(Permutation(Integer),%)->%`dIncidenceAlgebra(R,S)``172392
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,%)->%`dIncidenceAlgebra(R,S)``172490
o*`2`n`(R,S)->%`dFreeModule(R,S)``172583
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`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,%)->%`dFreeGroup(S)``172645
o*`2`n`(S,%)->%`dFreeMonoid(S)``172721
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,Integer)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,Integer)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,Integer)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,Integer)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->%`dFreeModule(R,S)``172797
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`(SMP,%)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``172885
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``172967
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``173115
o*`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``173319
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``173542
o*`2`x`(%,%)->%`cMagma``173606
o*`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`173697
o*`2`x`(%,%)->%`dCartesianTensor(minix,dim,R)``173813
o*`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``174221
o*`2`x`(%,Col)->Col`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`174295
o*`2`x`(%,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``174427
o*`2`x`(%,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``174559
o*`2`x`(%,R)->%`cDirectProductCategory(dim,R)`has(R,SemiGroup)`174624
o*`2`x`(%,R)->%`cGradedModule(R,E)``174717
o*`2`x`(%,R)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`174766
o*`2`x`(%,R)->%`cRightModule(R)``174862
o*`2`x`(%,R)->%`cVectorCategory(R)`has(R,SemiGroup)`174973
o*`2`x`(%,R)->%`cXFreeAlgebra(vl,R)``175066
o*`2`x`(%,S)->%`dEquation(S)`has(S,SemiGroup)`175177
o*`2`x`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``175275
o*`2`x`(DoubleFloat,%)->%`dColor``175361
o*`2`x`(Integer,%)->%`cAbelianGroup``175463
o*`2`x`(Integer,%)->%`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`175532
o*`2`x`(Integer,%)->%`cVectorCategory(R)`has(R,AbelianGroup)`175575
o*`2`x`(NonNegativeInteger,%)->%`cAbelianMonoid``175668
o*`2`x`(PositiveInteger,%)->%`cAbelianSemiGroup``175736
o*`2`x`(PositiveInteger,%)->%`dColor``175896
o*`2`x`(R,%)->%`cDirectProductCategory(dim,R)`has(R,SemiGroup)`175998
o*`2`x`(R,%)->%`cGradedModule(R,E)``176094
o*`2`x`(R,%)->%`cLeftModule(R)``176142
o*`2`x`(R,%)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`176252
o*`2`x`(R,%)->%`cVectorCategory(R)`has(R,SemiGroup)`176345
o*`2`x`(Row,%)->Row`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`176441
o*`2`x`(Row,%)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``176570
o*`2`x`(S,%)->%`dEquation(S)`has(S,SemiGroup)`176699
o*`2`x`(vl,%)->%`cXFreeAlgebra(vl,R)``176797
o+`2`n`(%,%)->%`cFiniteGraph(S)``176872
o+`2`n`(%,%)->%`cSPointCategory``176997
o+`2`n`(%,%)->%`dIncidenceAlgebra(R,S)``177569
o+`2`n`(%,%)->%`dInputForm``177681
o+`2`n`(%,%)->%`dOutputForm``177754
o+`2`n`(%,%)->%`dPattern(R)``177808
o+`2`n`(%,%)->%`dVectorSpaceBasis(R)``177861
o+`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``177926
o+`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``177984
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``178042
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)``178295
o+`2`x`(%,%)->%`cAbelianSemiGroup``178441
o+`2`x`(%,%)->%`cGradedModule(R,E)``178501
o+`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)``178681
o+`2`x`(%,%)->%`cVectorCategory(R)`has(R,AbelianSemiGroup)`178793
o+`2`x`(%,%)->%`dColor``178941
o+`2`x`(%,%)->%`dDatabase(S)``179019
o+`2`x`(%,%)->%`dOrderedCompletion(R)`has(R,AbelianMonoid)`0
o+`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``179097
o+`2`x`(%,S)->%`cSegmentCategory(S)`has(S,AbelianSemiGroup)`179182
o+`2`x`(%,S)->%`dEquation(S)`has(S,AbelianSemiGroup)`179246
o+`2`x`(S,%)->%`cSegmentCategory(S)`has(S,AbelianSemiGroup)`179339
o+`2`x`(S,%)->%`dEquation(S)`has(S,AbelianSemiGroup)`179396
o+`2`x`(UP,%)->%`dFullPartialFractionExpansion(F,UP)``179489
o-`1`n`(%)->%`dOutputForm``179549
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)``179602
o-`1`x`(%)->%`cAbelianGroup``179717
o-`1`x`(%)->%`cGradedModule(R,E)``179770
o-`1`x`(%)->%`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`179879
o-`1`x`(%)->%`cVectorCategory(R)`has(R,AbelianGroup)`179940
o-`1`x`(%)->%`dOrderedCompletion(R)`has(R,AbelianGroup)`0
o-`2`n`(%,%)->%`cSPointCategory``180003
o-`2`n`(%,%)->%`dOutputForm``180474
o-`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``180528
o-`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``180593
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``180652
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)``180908
o-`2`x`(%,%)->%`cAbelianGroup``181061
o-`2`x`(%,%)->%`cGradedModule(R,E)``181156
o-`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`181343
o-`2`x`(%,%)->%`cVectorCategory(R)`has(R,AbelianGroup)`181462
o-`2`x`(%,%)->%`dDatabase(S)``181617
o-`2`x`(%,%)->Union(%,"failed")`dCardinalNumber``181777
o-`2`x`(%,S)->%`cSegmentCategory(S)`has(S,AbelianGroup)`181886
o-`2`x`(%,S)->%`dEquation(S)`has(S,AbelianGroup)`181950
o-`2`x`(S,%)->%`dEquation(S)`has(S,AbelianGroup)`182050
o/\`2`n`(%,%)->%`cMeetSemilattice``182150
o/\`2`n`(S,S)->S`xBitAggregate&(S)``0
o/\`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``182211
o/\`2`x`(%,%)->%`dSingleInteger``182319
o/`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``182440
o/`2`n`(%,%)->%`dInputForm``182521
o/`2`n`(%,%)->%`dOutputForm``182594
o/`2`n`(%,%)->%`dPattern(R)``182648
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)`182701
o/`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``182807
o/`2`n`(%,R)->%`dLocalAlgebra(A,R)``182875
o/`2`n`(%,R)->%`dLocalize(M,R)``182936
o/`2`n`(%,R)->%`dXPolynomialRing(R,E)`has(R,Field)`182997
o/`2`n`(A,R)->%`dLocalAlgebra(A,R)``183038
o/`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``183099
o/`2`n`(M,R)->%`dLocalize(M,R)``183170
o/`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``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)``183231
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``183420
o/`2`x`(%,%)->%`cField``183480
o/`2`x`(%,%)->%`cGroup``183576
o/`2`x`(%,%)->%`dEquation(S)`has(S,Field)`183648
o/`2`x`(%,F)->%`cExtensionField(F)``183771
o/`2`x`(%,Integer)->%`cFloatingPointSystem``183829
o/`2`x`(%,R)->%`cAbelianMonoidRing(R,E)`has(R,Field)`183908
o/`2`x`(%,R)->%`cLieAlgebra(R)`has(R,Field)`183971
o/`2`x`(%,R)->%`cMatrixCategory(R,Row,Col)`has(R,Field)`184034
o/`2`x`(%,R)->%`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,Field)`184121
o/`2`x`(S,S)->%`cQuotientFieldCategory(S)``184208
o/`2`x`(SparseMultivariatePolynomial(R,Kernel(%)),SparseMultivariatePolynomial(R,Kernel(%)))->%`cFunctionSpace(R)`has(R,IntegralDomain)`184282
o0`0`n`()->%`cDistributionCategory(R)``0
o0`0`n`()->%`dInputForm``0
o0`0`n`()->%`dPattern(R)``0
o0`0`n`()->%`dVectorSpaceBasis(R)``0
o0`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o0`0`x`()->%`cAbelianMonoid``0
o0`0`x`()->%`cGradedModule(R,E)``0
o1`0`n`()->%`cJetBundleCategory``0
o1`0`n`()->%`dInputForm``0
o1`0`n`()->%`dPattern(R)``0
o1`0`n`()->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``0
o1`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o1`0`x`()->%`cGradedAlgebra(R,E)``0
o1`0`x`()->%`cMagmaWithUnit``0
o<=`2`n`(%,%)->%`dOutputForm``184370
o<=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o<=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o<=`2`x`(%,%)->Boolean`cPartialOrder``184425
o<=`2`x`(%,%)->Boolean`dPermutationGroup(S)``184475
o<`2`n`(%,%)->%`dOutputForm``184685
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`x`(%,%)->Boolean`cPartialOrder``184739
o<`2`x`(%,%)->Boolean`cPermutationCategory(S)``184779
o<`2`x`(%,%)->Boolean`dPermutationGroup(S)``184933
o=`2`n`(%,%)->%`dOutputForm``185036
o=`2`n`(%,%)->Boolean`cVarCat``185090
o=`2`n`(%,%)->Boolean`dFortranScalarType``185203
o=`2`n`(%,%)->Boolean`dILogic``185239
o=`2`n`(%,%)->Boolean`dLambda(UT)``185385
o=`2`n`(%,%)->Boolean`dLatticeJoinOfMeets``185678
o=`2`n`(%,%)->Boolean`dLatticeMeetOfJoins``185824
o=`2`n`(%,%)->Boolean`dLinearMultivariateMatrixPencil(R)``185970
o=`2`n`(%,%)->Boolean`dReference(S)``186009
o=`2`n`(%,%)->Boolean`dSKICombinators(UT)``186089
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`x`(%,%)->Boolean`cBasicType``186358
o=`2`x`(S,S)->%`dEquation(S)``186419
o>=`2`n`(%,%)->%`dOutputForm``186457
o>=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>=`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>=`2`x`(%,%)->Boolean`cPartialOrder``186512
o>`2`n`(%,%)->%`dOutputForm``186565
o>`2`n`(%,%)->Boolean`cJetBundleCategory``186619
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`x`(%,%)->Boolean`cPartialOrder``186721
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``186764
oAleph`1`x`(NonNegativeInteger)->%`dCardinalNumber``186859
oAlpha`0`n`()->Symbol`pMathematicalSymbols``186928
oAnd`2`n`(%,%)->%`dIndexedBits(mn)``186996
oAnd`2`x`(%,%)->%`dSingleInteger``187088
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)``187200
oBY`2`x`(%,Integer)->%`cSegmentCategory(S)``187791
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``187889
oBeta`0`n`()->Symbol`pMathematicalSymbols``187981
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``188047
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``188133
oBeta`2`x`(%,%)->%`cSpecialFunctionCategory``188173
oBeta`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oBeta`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``188241
oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oBeta`2`x`(Float,Float)->Float`pFloatSpecialFunctions``188295
oBeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``188349
oBeta`3`x`(%,%,%)->%`cSpecialFunctionCategory``188447
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)``188511
oChi`0`n`()->Symbol`pMathematicalSymbols``188625
oChi`1`n`(F)->F`pLiouvillianFunction(R,F)``188689
oChi`1`x`(%)->%`cLiouvillianFunctionCategory``188748
oChi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``188879
oChi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oChi`1`x`(Float)->Float`pFloatLiouvilianFunctions``188938
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``188997
oCi`1`x`(%)->%`cLiouvillianFunctionCategory``189051
oCi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``189176
oCi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oCi`1`x`(Float)->Float`pFloatLiouvilianFunctions``189230
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`x`()->%`cLinearOrdinaryDifferentialOperatorCategory(A)``189284
oD`1`n`(S)->S`xDifferentialExtension&(S,R)``0
oD`1`n`(S)->S`xDifferentialRing&(S)``0
oD`1`n`(Var)->%`dPartialDifferentialOperator(R,Var)``189375
oD`1`n`(Var)->%`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)``189480
oD`1`x`(%)->%`cDifferentialRing``189581
oD`1`x`(%)->%`dFullPartialFractionExpansion(F,UP)``189724
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)``189778
oD`2`n`(Symbol,List(Symbol))->%`dJetBundleSymAna(JB1,xi,eta)``189908
oD`2`x`(%,(R)->R)->%`cDifferentialExtension(R)``189957
oD`2`x`(%,List(S))->%`cPartialDifferentialRing(S)``190052
oD`2`x`(%,NonNegativeInteger)->%`cDifferentialRing``190182
oD`2`x`(%,NonNegativeInteger)->%`dFullPartialFractionExpansion(F,UP)``190253
oD`2`x`(%,S)->%`cPartialDifferentialRing(S)``190324
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)``190417
oD`3`x`(%,List(S),List(NonNegativeInteger))->%`cPartialDifferentialRing(S)``190546
oD`3`x`(%,S,NonNegativeInteger)->%`cPartialDifferentialRing(S)``190711
oDelta`0`n`()->Symbol`pMathematicalSymbols``190859
oDelta`1`n`(Symbol)->%`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)`has(Var,SIGNATURE(variable,Var(Symbol)))`190927
oDiffAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``191032
oDiffC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``191255
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``191569
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)``191661
oEi`1`x`(%)->%`cLiouvillianFunctionCategory``191720
oEi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``191848
oEi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oEi`1`x`(Float)->Float`pFloatLiouvilianFunctions``191907
oEpsilon`0`n`()->Symbol`pMathematicalSymbols``191966
oEta`0`n`()->Symbol`pMathematicalSymbols``192038
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)``192102
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``192160
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``192218
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``192255
oFormatRadix`2`n`(Integer,Integer)->String`pNumberFormats``192341
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``192433
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``192516
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`x`(%)->%`cExtensionField(F)`has(F,Finite)`192556
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(%,NonNegativeInteger)->%`cExtensionField(F)`has(F,Finite)`192643
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``192737
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``192828
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``192959
oGamma`0`n`()->Symbol`pMathematicalSymbols``193049
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``193117
oGamma`1`x`(%)->%`cSpecialFunctionCategory``193194
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``193245
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oGamma`1`x`(Float)->Float`pFloatSpecialFunctions``193296
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``193347
oGamma`2`x`(%,%)->%`cSpecialFunctionCategory``193439
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``193500
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``194057
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``194115
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``194174
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``194271
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``194354
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)``194424
oHankelMatrix`1`n`(List(R))->Matrix(R)`pHankelPackage(R)``194829
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``195020
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``195119
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``195325
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``195748
oHermiteIntegrate`3`n`(Fraction(UP),(UP)->UP,UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``195890
oHermiteIntegrate`3`n`(R,(UP)->UP,R)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``196326
oI`0`n`()->%`dSKICombinators(UT)``196515
oIota`0`n`()->Symbol`pMathematicalSymbols``196554
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``196620
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`196762
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`197017
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`197272
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)))`197554
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,R))->ContinuedFraction(UnivariatePolynomial(z,R))`pDistributionContinuedFractionPackage(R,z)`has(R,Field)`197660
oK`0`n`()->%`dSKICombinators(UT)``197766
oKappa`0`n`()->Symbol`pMathematicalSymbols``197805
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``197873
oLLFI_to_LPA`3`n`(List(List(Fraction(Integer))),Integer,Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``197964
oLLFPI_to_LPA`5`n`(List(List(Fraction(Polynomial(Integer)))),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``197989
oLLF_to_LPA`5`n`(List(List(F)),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePadeSolver(F,S)``198014
oLLL`1`n`(Matrix(Integer))->Matrix(Integer)`pLLLReduction``198038
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``198183
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``198298
oLUDecomp`1`n`(Matrix(D))->Record(LU:Matrix(D),Perm:Vector(Integer),Pivots:List(D))`pLUDecomposition(D)``198388
oLUInverse`1`n`(Matrix(D))->Record(Inv:Matrix(D),Pivots:List(D))`pLUDecomposition(D)``198627
oLUSolve`3`n`(Matrix(D),Vector(Integer),Vector(D))->Vector(D)`pLUDecomposition(D)``198712
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``198916
oLambda`0`n`()->Symbol`pMathematicalSymbols``198975
oLazardQuotient2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``199045
oLazardQuotient2`4`x`(%,%,%,NonNegativeInteger)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`199136
oLazardQuotient`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``199269
oLazardQuotient`3`x`(%,%,NonNegativeInteger)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`199344
oLiePolyIfCan`1`n`(%)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``199461
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(%,"failed")`dLiePolynomial(VarSet,R)``199539
oLiePoly`1`x`(LyndonWord(VarSet))->%`cFreeLieAlgebra(VarSet,R)``199675
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``199759
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``199971
oLyndonCoordinates`1`n`(%)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``200060
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(%))`dLyndonWord(VarSet)``200143
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(%)`dLyndonWord(VarSet)``200277
oMPtoMPT`4`n`(MP,Symbol,List(Symbol),MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``200401
oMu`0`n`()->Symbol`pMathematicalSymbols``200485
oNOT`1`n`(%)->%`dSwitch``200547
oNOT`1`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``200634
oNot`1`n`(%)->%`dIndexedBits(mn)``200721
oNot`1`x`(%)->%`dSingleInteger``200795
oNu`0`n`()->Symbol`pMathematicalSymbols``200888
oNul`1`n`(NonNegativeInteger)->%`dExtAlgBasis``200950
oOMParseError?`1`x`(%)->Boolean`dOpenMathErrorKind``201045
oOMReadError?`1`x`(%)->Boolean`dOpenMathErrorKind``201128
oOMUnknownCD?`1`x`(%)->Boolean`dOpenMathErrorKind``201207
oOMUnknownSymbol?`1`x`(%)->Boolean`dOpenMathErrorKind``201299
oOMbindTCP`2`x`(%,SingleInteger)->Boolean`dOpenMathConnection``201392
oOMcloseConn`1`x`(%)->Void`dOpenMathConnection``201415
oOMclose`1`x`(%)->Void`dOpenMathDevice``201440
oOMconnInDevice`1`x`(%)->OpenMathDevice`dOpenMathConnection``201517
oOMconnOutDevice`1`x`(%)->OpenMathDevice`dOpenMathConnection``201548
oOMconnectTCP`3`x`(%,String,SingleInteger)->Boolean`dOpenMathConnection``201580
oOMencodingBinary`0`x`()->%`dOpenMathEncoding``201606
oOMencodingSGML`0`x`()->%`dOpenMathEncoding``201688
oOMencodingUnknown`0`x`()->%`dOpenMathEncoding``201777
oOMencodingXML`0`x`()->%`dOpenMathEncoding``201972
oOMgetApp`1`x`(%)->Void`dOpenMathDevice``202055
oOMgetAtp`1`x`(%)->Void`dOpenMathDevice``202131
oOMgetAttr`1`x`(%)->Void`dOpenMathDevice``202210
oOMgetBVar`1`x`(%)->Void`dOpenMathDevice``202285
oOMgetBind`1`x`(%)->Void`dOpenMathDevice``202370
oOMgetEndApp`1`x`(%)->Void`dOpenMathDevice``202442
oOMgetEndAtp`1`x`(%)->Void`dOpenMathDevice``202520
oOMgetEndAttr`1`x`(%)->Void`dOpenMathDevice``202601
oOMgetEndBVar`1`x`(%)->Void`dOpenMathDevice``202678
oOMgetEndBind`1`x`(%)->Void`dOpenMathDevice``202765
oOMgetEndError`1`x`(%)->Void`dOpenMathDevice``202839
oOMgetEndObject`1`x`(%)->Void`dOpenMathDevice``202913
oOMgetError`1`x`(%)->Void`dOpenMathDevice``202989
oOMgetFloat`1`x`(%)->DoubleFloat`dOpenMathDevice``203061
oOMgetInteger`1`x`(%)->Integer`dOpenMathDevice``203121
oOMgetObject`1`x`(%)->Void`dOpenMathDevice``203186
oOMgetString`1`x`(%)->String`dOpenMathDevice``203260
oOMgetSymbol`1`x`(%)->Record(cd:String,name:String)`dOpenMathDevice``203322
oOMgetType`1`x`(%)->Symbol`dOpenMathDevice``203384
oOMgetVariable`1`x`(%)->Symbol`dOpenMathDevice``203463
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``203529
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``203600
oOMmakeConn`1`x`(SingleInteger)->%`dOpenMathConnection``203667
oOMopenFile`3`x`(String,String,OpenMathEncoding)->%`dOpenMathDevice``203691
oOMopenString`2`x`(String,OpenMathEncoding)->%`dOpenMathDevice``203938
oOMputApp`1`x`(%)->Void`dOpenMathDevice``204065
oOMputAtp`1`x`(%)->Void`dOpenMathDevice``204140
oOMputAttr`1`x`(%)->Void`dOpenMathDevice``204218
oOMputBVar`1`x`(%)->Void`dOpenMathDevice``204292
oOMputBind`1`x`(%)->Void`dOpenMathDevice``204376
oOMputEndApp`1`x`(%)->Void`dOpenMathDevice``204447
oOMputEndAtp`1`x`(%)->Void`dOpenMathDevice``204524
oOMputEndAttr`1`x`(%)->Void`dOpenMathDevice``204604
oOMputEndBVar`1`x`(%)->Void`dOpenMathDevice``204680
oOMputEndBind`1`x`(%)->Void`dOpenMathDevice``204766
oOMputEndError`1`x`(%)->Void`dOpenMathDevice``204839
oOMputEndObject`1`x`(%)->Void`dOpenMathDevice``204912
oOMputError`1`x`(%)->Void`dOpenMathDevice``204987
oOMputFloat`2`x`(%,DoubleFloat)->Void`dOpenMathDevice``205058
oOMputInteger`2`x`(%,Integer)->Void`dOpenMathDevice``205133
oOMputObject`1`x`(%)->Void`dOpenMathDevice``205212
oOMputString`2`x`(%,String)->Void`dOpenMathDevice``205285
oOMputSymbol`3`x`(%,String,String)->Void`dOpenMathDevice``205362
oOMputVariable`2`x`(%,Symbol)->Void`dOpenMathDevice``205470
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``205551
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``205642
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``205732
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``205823
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``205942
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``206023
oOMsetEncoding`2`x`(%,OpenMathEncoding)->Void`dOpenMathDevice``206202
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``206341
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``206448
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``206595
oOMwrite`1`n`(S)->String`xOpenMath&(S)``0
oOMwrite`1`x`(%)->String`cOpenMath``206761
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`2`n`(OpenMathDevice,S)->Void`xOpenMath&(S)``0
oOMwrite`2`n`(S,Boolean)->String`xOpenMath&(S)``0
oOMwrite`2`x`(%,Boolean)->String`cOpenMath``206869
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,%)->Void`cOpenMath``207097
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`3`n`(OpenMathDevice,S,Boolean)->Void`xOpenMath&(S)``0
oOMwrite`3`x`(OpenMathDevice,%,Boolean)->Void`cOpenMath``207230
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
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``207462
oOmega`0`n`()->Symbol`pMathematicalSymbols``207555
oOmicron`0`n`()->Symbol`pMathematicalSymbols``207623
oOr`2`n`(%,%)->%`dIndexedBits(mn)``207696
oOr`2`x`(%,%)->%`dSingleInteger``207787
oP`1`n`(List(NonNegativeInteger))->%`cJetBundleCategory``207898
oP`1`n`(List(NonNegativeInteger))->%`cJetBundleFunctionCategory(JB)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->%`cJetBundleCategory``208008
oP`1`n`(NonNegativeInteger)->%`cJetBundleFunctionCategory(JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`cJetBundleCategory``208144
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->%`cJetBundleCategory``208375
oP`2`n`(PositiveInteger,NonNegativeInteger)->%`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
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)``208532
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``208713
oPfaffian`1`n`(S)->R`xMatrixCategory&(S,R,Row,Col)``0
oPfaffian`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`208827
oPfaffian`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`208941
oPhi`0`n`()->Symbol`pMathematicalSymbols``209055
oPi`0`n`()->Symbol`pMathematicalSymbols``209120
oPm`2`n`(PositiveInteger,List(NonNegativeInteger))->%`cJetBundleCategory``209197
oPnan?`1`n`(%)->Boolean`cSPointCategory``209291
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``209787
oPr`2`n`(PositiveInteger,List(PositiveInteger))->%`cJetBundleCategory``209883
oPr`2`n`(PositiveInteger,List(PositiveInteger))->S`xJetBundleCategory&(S)``0
oPsi`0`n`()->Symbol`pMathematicalSymbols``209980
oR1_to_R2_coercion`1`x`(R1)->R2`pDistributionFunctions2(R1,R2)``210045
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`210109
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``210171
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``210377
oRemainderList`1`n`(%)->List(Record(k:Symbol,c:%))`dXPolynomial(R)``0
oRemainderList`1`n`(%)->List(Record(k:VarSet,c:%))`dXRecursivePolynomial(VarSet,R)``210680
oRho`0`n`()->Symbol`pMathematicalSymbols``210768
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(%,%)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``210833
oSEGMENT`1`n`(%)->%`dOutputForm``211069
oSEGMENT`1`x`(S)->%`dUniversalSegment(S)``211131
oSEGMENT`2`n`(%,%)->%`dOutputForm``211217
oSEGMENT`2`x`(S,S)->%`cSegmentCategory(S)``211284
oSFunction`1`x`(List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``211366
oSPDE1`3`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))`pRDEaux(F)``211527
oSTransform1`1`x`(Distribution(R))->UTSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``211955
oSTransform2`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``212103
oSTransform`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``212220
oS`0`n`()->%`dSKICombinators(UT)``212317
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``212357
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``212442
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``212570
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``212764
oShi`1`n`(F)->F`pLiouvillianFunction(R,F)``212846
oShi`1`x`(%)->%`cLiouvillianFunctionCategory``212904
oShi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``213034
oShi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oShi`1`x`(Float)->Float`pFloatLiouvilianFunctions``213092
oShiftAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``213150
oShiftC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``213383
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``213699
oSi`1`x`(%)->%`cLiouvillianFunctionCategory``213752
oSi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``213876
oSi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oSi`1`x`(Float)->Float`pFloatLiouvilianFunctions``213929
oSigma`0`n`()->Symbol`pMathematicalSymbols``213982
oSomos`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``214051
oSomos`1`x`(Union(PositiveInteger,Boolean))->%`dGuessOption``214152
oSturmHabichtCoefficients`2`x`(UP,UP)->List(R)`pSturmHabichtPackage(R,UP)``214378
oSturmHabichtMultiple`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`214504
oSturmHabichtSequence`2`x`(UP,UP)->List(UP)`pSturmHabichtPackage(R,UP)``214807
oSturmHabicht`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)``214915
oT$`0`n`()->%`cBoundedMeetSemilattice``215210
oT$`0`n`()->S`xLogic&(S)``0
oTau`0`n`()->Symbol`pMathematicalSymbols``215245
oTheta`0`n`()->Symbol`pMathematicalSymbols``215310
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``215379
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``215441
oU`0`n`()->%`cJetBundleCategory``215544
oU`0`n`()->%`cJetBundleFunctionCategory(JB)``0
oU`0`n`()->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`0`n`()->S`xJetBundleCategory&(S)``0
oU`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->%`cJetBundleCategory``215601
oU`1`n`(PositiveInteger)->%`cJetBundleFunctionCategory(JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oU`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oUnVectorise`1`n`(Vector(R))->%`dModMonic(R,Rep)``215673
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``215748
oUpsilon`0`n`()->Symbol`pMathematicalSymbols``215960
oVSUPI_to_VPA`2`n`(Vector(SparseUnivariatePolynomial(Integer)),Integer)->Vector(U32Vector)`pModularHermitePade``216033
oVSUPPI_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(Polynomial(Integer))),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePade``216059
oVSUPS_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(S)),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePadeSolver(F,S)``216085
oVectorise`1`n`(%)->Vector(R)`dModMonic(R,Rep)``216110
oX`0`n`()->%`cJetBundleCategory``216187
oX`0`n`()->%`cJetBundleFunctionCategory(JB)``0
oX`0`n`()->S`xJetBundleCategory&(S)``0
oX`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oX`1`n`(PositiveInteger)->%`cJetBundleCategory``216246
oX`1`n`(PositiveInteger)->%`cJetBundleFunctionCategory(JB)``0
oX`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oX`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oXi`0`n`()->Symbol`pMathematicalSymbols``216320
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``216397
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``216465
oZeta`0`n`()->Symbol`pMathematicalSymbols``216628
o\/`2`n`(%,%)->%`cJoinSemilattice``216695
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``216756
o\/`2`x`(%,%)->%`dSingleInteger``216871
o^`2`n`(%,%)->%`dOutputForm``216992
o^`2`n`(%,%)->%`dPattern(R)``217047
o^`2`n`(%,%)->%`dSmallOrdinal``217101
o^`2`n`(%,Integer)->%`dFreeDivisionAlgebra(VAR,F)``217250
o^`2`n`(%,Integer)->%`dInputForm``217288
o^`2`n`(%,Integer)->%`dOperator(R)``0
o^`2`n`(%,NonNegativeInteger)->%`dIncidenceAlgebra(R,S)``217362
o^`2`n`(%,NonNegativeInteger)->%`dInputForm``217481
o^`2`n`(%,NonNegativeInteger)->%`dPattern(R)``217555
o^`2`n`(%,PositiveInteger)->%`cDistributionCategory(R)``217609
o^`2`n`(%,PositiveInteger)->%`dFreeDivisionAlgebra(VAR,F)``217766
o^`2`n`(F,F)->F`pCombinatorialFunction(R,F)``217804
o^`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`217860
o^`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``217931
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)->%`dFreeGroup(S)``218048
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,NonNegativeInteger)->%`dFreeMonoid(S)``218126
o^`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,NonNegativeInteger)->S`xDivisionRing&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xGroup&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,PositiveInteger)->S`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)``218204
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``218312
o^`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`218420
o^`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`218502
o^`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``218585
o^`2`x`(%,%)->%`cElementaryFunctionCategory``218653
o^`2`x`(%,%)->%`dCardinalNumber``218711
o^`2`x`(%,Coef)->%`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`218820
o^`2`x`(%,Fraction(Integer))->%`cRadicalCategory``219041
o^`2`x`(%,Integer)->%`cDivisionRing``219127
o^`2`x`(%,Integer)->%`cGroup``219200
o^`2`x`(%,Integer)->%`cMatrixCategory(R,Row,Col)`has(R,Field)`219273
o^`2`x`(%,Integer)->%`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`219420
o^`2`x`(%,Integer)->%`dModuleOperator(R,M)``219529
o^`2`x`(%,NonNegativeInteger)->%`cMagmaWithUnit``219562
o^`2`x`(%,NonNegativeInteger)->%`cMatrixCategory(R,Row,Col)`AND(has(R,Monoid),has(R,SemiRng))`219662
o^`2`x`(%,NonNegativeInteger)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``219781
o^`2`x`(%,PositiveInteger)->%`cMagma``219852
o^`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``219952
o_|_`0`n`()->%`cBoundedJoinSemilattice``220052
o_|_`0`n`()->S`xLogic&(S)``0
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``220091
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``220144
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``220188
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``220240
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``220300
oabs`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``220447
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``220514
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`x`(%)->%`cComplexCategory(R)`has(R,RealNumberSystem)`220592
oabs`1`x`(%)->%`cOrderedRing``220676
oabs`1`x`(%)->%`cSpecialFunctionCategory``220737
oabs`1`x`(%)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`220798
oabs`1`x`(%)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`220927
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``221015
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``221097
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``221179
oacos`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``221268
oacos`1`n`(F)->F`pElementaryFunction(R,F)``221337
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)``221407
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``221478
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``221549
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``221622
oacos`1`x`(%)->%`cArcTrigonometricFunctionCategory``221697
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``222061
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``222152
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)``222234
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``222326
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``222418
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``222507
oacosh`1`x`(%)->%`cArcHyperbolicFunctionCategory``222598
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``222668
oacot`1`n`(F)->F`pElementaryFunction(R,F)``222757
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)``222830
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``222904
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``222978
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``223054
oacot`1`x`(%)->%`cArcTrigonometricFunctionCategory``223132
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``223193
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``223284
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)``223369
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``223464
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``223559
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``223651
oacoth`1`x`(%)->%`cArcHyperbolicFunctionCategory``223745
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``223818
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``223907
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)``223979
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``224052
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``224125
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``224200
oacsc`1`x`(%)->%`cArcTrigonometricFunctionCategory``224277
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``224337
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``224428
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)``224512
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``224606
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``224700
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``224791
oacsch`1`x`(%)->%`cArcHyperbolicFunctionCategory``224884
oadaptive3D?`0`n`()->Boolean`dPlot3D``224956
oadaptive?`0`n`()->Boolean`dPlot``225032
oadaptive`0`x`()->Boolean`pGraphicsDefaults``225105
oadaptive`1`x`(Boolean)->%`dDrawOption``225183
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``225364
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``225473
oaddALS`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``225684
oaddArrow!`2`n`(%,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->%`cFiniteGraph(S)``225824
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!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`cPoset(S)``225896
oaddArrow!`3`n`(A,NonNegativeInteger,NonNegativeInteger)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(%,String,NonNegativeInteger,NonNegativeInteger)->%`cFiniteGraph(S)``226187
oaddArrow!`4`n`(%,String,S,S)->%`cFiniteGraph(S)``226397
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!`5`n`(%,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->%`cFiniteGraph(S)``226581
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
oaddArrows2Din2D`5`n`(%,(PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``226842
oaddBadValue`2`n`(%,Any)->%`dPattern(R)``226985
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``227139
oaddChild!`2`n`(%,%)->Void`dScene(PT)``227287
oaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``227382
oaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``227614
oaddColumnsRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``227757
oaddCube`2`n`(%,CubicalFacet)->%`dFiniteCubicalComplex(VS)``227934
oaddImpliedFaces`1`n`(%)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``228058
oaddImpliedFaces`1`n`(%)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``228359
oaddMIN`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``228666
oaddMatchRestricted`4`n`(Pattern(R),S,%,S)->%`dPatternMatchResult(R,S)``228746
oaddMatch`3`n`(Pattern(R),S,%)->%`dPatternMatchResult(R,S)``229125
oaddNode!`3`n`(%,String,Scene(PT))->%`dSceneNamedPoints(PT)``229367
oaddObject!`2`n`(%,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->%`cFiniteGraph(S)``229428
oaddObject!`2`n`(%,S)->%`cFiniteGraph(S)``229522
oaddObject!`2`n`(%,S)->%`cPoset(S)``229734
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
oaddPlot1Din2D`4`n`(%,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``229944
oaddPlot1Din2D`4`n`(%,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``230073
oaddPlot1Din2Dparametric`4`n`(%,ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``230202
oaddPlot1Din3Dparametric`4`n`(%,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``230353
oaddPlot1Din3Dparametric`4`n`(%,ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``230506
oaddPlot2Din3D`5`n`(%,(DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``230657
oaddPlot2Din3Dparametric`5`n`(%,(DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``230792
oaddPlot2Din3Dparametric`5`n`(%,ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``230947
oaddPoint2`2`n`(%,Point(R))->%`dSubSpace(n,R)``231102
oaddPointLast`4`n`(%,%,Point(R),NonNegativeInteger)->%`dSubSpace(n,R)``231282
oaddPoint`2`n`(%,Point(R))->NonNegativeInteger`dSubSpace(n,R)``231586
oaddPoint`3`n`(%,List(NonNegativeInteger),NonNegativeInteger)->%`dSubSpace(n,R)``231748
oaddPoint`3`n`(%,List(NonNegativeInteger),Point(R))->%`dSubSpace(n,R)``232531
oaddPoints!`3`n`(%,String,%)->%`dSceneNamedPoints(PT)``233282
oaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``233347
oaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``233458
oaddRowsColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``233592
oaddSceneArrow`6`n`(%,String,String,PT,Symbol,DoubleFloat)->%`dScene(PT)``233769
oaddSceneArrow`7`n`(%,%,%,PT,Symbol,DoubleFloat,DoubleFloat)->%`dScene(PT)``233911
oaddSceneArrows`4`n`(%,List(List(PT)),Symbol,DoubleFloat)->%`dScene(PT)``234066
oaddSceneBox`2`n`(%,DoubleFloat)->%`dScene(PT)``234196
oaddSceneClip`2`n`(%,SBoundary(PT))->%`dScene(PT)``234304
oaddSceneDef`3`n`(%,String,%)->%`dScene(PT)``234412
oaddSceneGraph`5`n`(%,DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->%`dScene(PT)``234526
oaddSceneGrid`2`n`(%,SBoundary(PT))->%`dScene(PT)``234662
oaddSceneGrid`3`n`(%,DoubleFloat,SBoundary(PT))->%`dScene(PT)``234770
oaddSceneGroup`1`n`(%)->%`dScene(PT)``234890
oaddSceneIFS`2`n`(%,SceneIFS(PT))->%`dScene(PT)``234994
oaddSceneIFS`3`n`(%,List(List(NonNegativeInteger)),List(PT))->%`dScene(PT)``235101
oaddSceneLine`2`n`(%,List(PT))->%`dScene(PT)``235215
oaddSceneLine`4`n`(%,%,%,DoubleFloat)->%`dScene(PT)``235325
oaddSceneLine`5`n`(%,%,%,DoubleFloat,Boolean)->%`dScene(PT)``235452
oaddSceneLines`2`n`(%,List(List(PT)))->%`dScene(PT)``235579
oaddSceneMaterial`2`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->%`dScene(PT)``235691
oaddSceneMaterial`4`n`(%,DoubleFloat,String,String)->%`dScene(PT)``235808
oaddSceneNamedPoints`2`n`(%,SceneNamedPoints(PT))->%`dScene(PT)``235945
oaddScenePattern`4`n`(%,Symbol,NonNegativeInteger,SBoundary(PT))->%`dScene(PT)``236067
oaddSceneRuler`4`n`(%,Symbol,PT,SBoundary(PT))->%`dScene(PT)``236198
oaddSceneShape`2`n`(%,Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->%`dScene(PT)``236327
oaddSceneShape`2`n`(%,SBoundary(PT))->%`dScene(PT)``236440
oaddSceneText`2`n`(%,Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->%`dScene(PT)``236553
oaddSceneText`4`n`(%,List(String),NonNegativeInteger,PT)->%`dScene(PT)``236663
oaddSceneText`4`n`(%,String,NonNegativeInteger,PT)->%`dScene(PT)``236784
oaddSceneTransform`2`n`(%,STransform(PT))->%`dScene(PT)``236905
oaddSceneUse`2`n`(%,String)->%`dScene(PT)``237025
oaddSimplex`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``237132
oaddVertex2`2`n`(%,Record(left:NonNegativeInteger,right:NonNegativeInteger))->%`dProductFacet``237282
oaddVertex`2`n`(%,NonNegativeInteger)->%`dOrientedFacet``237326
oaddWArrow!`5`n`(%,String,NonNegativeInteger,NonNegativeInteger,W)->%`dWeightedGraph(S,W)``237370
oaddWarning`1`n`(OutputForm)->Void`pUnittestCount``237634
oadd_poly`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``237810
oadd_slots`2`n`(List(Integer),%)->Void`dVectorModularReconstructor``237898
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``237994
oadditive?`2`n`(%,PositiveInteger)->Boolean`dDirichletRing(Coef)``238281
oaddmod`3`x`(%,%,%)->%`cIntegerNumberSystem``238386
oadjacencyMatrix`1`n`(%)->Matrix(NonNegativeInteger)`cFiniteGraph(S)``238471
oadjacencyMatrix`1`n`(A)->Matrix(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oadjoint`1`n`(%)->%`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`n`(%)->%`dPartialDifferentialOperator(R,Var)``238864
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`x`(%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)``238931
oadjoint`1`x`(%)->%`dModuleOperator(R,M)`has(R,CommutativeRing)`238991
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`239064
oadjoint`2`n`(%,%)->%`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(%,%)->%`dModuleOperator(R,M)`has(R,CommutativeRing)`239247
oadmissibleLinearSystem`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``239366
oairyAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``239421
oairyAiPrime`1`x`(%)->%`cSpecialFunctionCategory``239521
oairyAiPrime`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyAiPrime`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``239610
oairyAi`1`x`(%)->%`cSpecialFunctionCategory``239691
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``239757
oairyBiPrime`1`x`(%)->%`cSpecialFunctionCategory``239857
oairyBiPrime`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyBiPrime`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``239946
oairyBi`1`x`(%)->%`cSpecialFunctionCategory``240027
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oalgDepHP`2`n`(List(List(AlgebraicNumber)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(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)``240093
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oalgDepHP`2`x`(List(List(Fraction(Integer))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(Integer)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(R)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),List(R))->Record(particular:List(Record(ratpart:R,coeffs:Vector(F))),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``240223
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``240317
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)``240641
oalg_reduce0`4`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),Symbol)->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``240966
oalg_reduce`4`n`(SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``241043
oalg_split_root0`3`n`(F,Kernel(F),Integer)->List(F)`pRootFSSplit(R,F)``241136
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)``241320
oalg_trial_division`5`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->Boolean`pPrimGCD``241505
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(%)->Boolean`cExtensionField(F)``241791
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,%)->Boolean`cTriangularSetCategory(R,E,V,P)``241909
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``242030
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)``242217
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)``242470
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``242525
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``242657
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(%)->List(V)`cTriangularSetCategory(R,E,V,P)``242788
oalgextint_base`3`n`((UP)->UP,(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,UP,UPUP,R)``242917
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)``243204
oalgextint`5`n`((UP)->UP,(List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F))),(Fraction(UP),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,UP,UPUP,R)``243365
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)``243677
oalgint`5`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(F)->IntegrationResult(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``243940
oalgintegrate`3`n`(R,(UP)->UP,(F)->IntegrationResult(F))->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``244125
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(Kernel(%))`cFunctionSpace(R)`has(R,IntegralDomain)`244228
oalgtower`1`x`(List(%))->List(Kernel(%))`cFunctionSpace(R)`has(R,IntegralDomain)`244278
oallDegrees`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``244532
oallDegrees`1`x`(Boolean)->%`dGuessOption``244663
oallIndices`1`n`(%)->List(C)`dSparseEchelonMatrix(C,D)``244915
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`cJetBundleCategory``245020
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`xJetBundleCategory&(S)``245137
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(%))->List(%)`cRealClosedField``245254
oallRootsOf`1`x`(Polynomial(Fraction(Integer)))->List(%)`cRealClosedField``245341
oallRootsOf`1`x`(Polynomial(Integer))->List(%)`cRealClosedField``245428
oallRootsOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cRealClosedField``245515
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(%)`cRealClosedField``245602
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(%)`cRealClosedField``245689
oallRootsOf`1`x`(ThePols)->List(%)`cRealRootCharacterizationCategory(TheField,ThePols)``245776
oallSimpleCells`2`n`(List(ThePols),Symbol)->List(%)`dSimpleCell(TheField,ThePols)``245883
oallSimpleCells`2`n`(ThePols,Symbol)->List(%)`dSimpleCell(TheField,ThePols)``246043
oallSubsets`2`n`(%,NonNegativeInteger)->List(%)`dCubicalFacet``246126
oallSubsets`2`n`(%,NonNegativeInteger)->List(%)`dOrientedFacet``246228
oallSubsets`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(%)`dCubicalFacet``246330
oallSubsets`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(%)`dOrientedFacet``246433
oalphaHilbert`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``246536
oalpha`0`n`()->Symbol`pMathematicalSymbols``246636
oalpha`2`n`(NonNegativeInteger,List(NonNegativeInteger))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``246703
oalphabetic?`1`x`(%)->Boolean`dCharacter``246844
oalphabetic`0`x`()->%`dCharacterClass``246959
oalphanumeric?`1`x`(%)->Boolean`dCharacter``247085
oalphanumeric`0`x`()->%`dCharacterClass``247227
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``247357
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``247923
oalternating`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``248315
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``248421
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``248671
oaltsupersub`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``248921
oanalyseSymbol`1`n`(SparseEchelonMatrix(JB,D))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``249328
oand`2`n`(%,%)->%`dOutputForm``249427
oand`2`x`(%,%)->%`cBitAggregate``249484
oand`2`x`(%,%)->%`dBoolean``249577
oangerJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``249663
oangerJ`2`x`(%,%)->%`cSpecialFunctionCategory``249724
oannihilate?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oannihilate?`2`n`(S,S)->Boolean`xRng&(S)``0
oannihilate?`2`x`(%,%)->Boolean`cRng``249785
oansatz`0`n`()->JetVectorField(JB1,JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``249879
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``249953
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``250148
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``250343
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``250504
oantiCommutator`2`n`(%,%)->%`cNonAssociativeSemiRng``250665
oantiCommutator`2`n`(S,S)->S`xNonAssociativeSemiRng&(S)``0
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``250726
oantipode`1`x`(%)->%`cHopfAlgebra(R,MxM)``250764
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)`250836
oantisymmetric?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``251047
oantisymmetric?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,AbelianGroup)`251258
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,CommutativeRing)`251469
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,CommutativeRing)`252047
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)`252643
oany`2`x`(SExpression,None)->%`dAny``252943
oappend!`2`n`(%,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``253129
oappendPoint`2`n`(%,Point(DoubleFloat))->Void`dGraphImage``253207
oappendRow!`2`n`(%,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``253404
oappendSupport!`2`n`(%,List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``253497
oappend`2`n`(%,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``253575
oappend`2`x`(%,%)->%`dList(S)``253652
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,%)->%`cFunctionSpace(R)``253811
oapplyQuote`2`x`(Symbol,List(%))->%`cFunctionSpace(R)``253870
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`x`(Symbol,%,%)->%`cFunctionSpace(R)``253959
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`x`(Symbol,%,%,%)->%`cFunctionSpace(R)``254028
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`x`(Symbol,%,%,%,%)->%`cFunctionSpace(R)``254107
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``254196
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``254435
oapplyTaylor`2`n`((UTS)->UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``254575
oapply_taylor`2`n`(Stream(Coef),%)->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``254638
oapply_taylor`2`n`(UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``254879
oapply`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dFunctionGraph(S)``254943
oapply`2`n`(%,Partition)->R`cSequenceCategory(R)``255020
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`x`(Matrix(R),%)->%`cFramedNonAssociativeAlgebra(R)``255162
oapply`2`x`(UPS,Distribution(R))->Distribution(S)`pDistributionPolynomialPackage(R,S,UPS)``255430
oapply`3`n`(%,Integer,Integer)->R`dIncidenceAlgebra(R,S)``255563
oapply`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`dMultifunctionGraph(S)``255624
oapply`3`n`(%,P,P)->Integer`dFiniteMoebiusFunction(P)``255701
oapply`3`n`(%,P,P)->R`dGeneralizedFiniteMoebiusFunction(P,R)``255810
oapply`3`n`(%,S,S)->R`dIncidenceAlgebra(R,S)``255919
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``256088
oapply`3`x`(%,R,R)->R`cUnivariateSkewPolynomialCategory(R)``256249
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``256367
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``256503
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``256626
oapproximants`1`x`(%)->Stream(Fraction(R))`dContinuedFraction(R)``256869
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)``257080
oapproximate`2`x`(%,%)->Fraction(Integer)`cRealClosedField``257183
oapproximate`2`x`(%,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(^,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`257280
oapproximate`2`x`(%,Integer)->Integer`cPAdicIntegerCategory(p)``257415
oapproximate`3`x`(ThePols,%,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``257556
oarbFunctions`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``257686
oarcsineDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)`has(R,Algebra(Fraction(Integer)))`257913
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`258006
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`258146
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`258303
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``259589
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``259644
oargscript`2`x`(%,List(OutputForm))->%`dSymbol``259700
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``259807
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``259937
oargumentList!`3`n`(Symbol,List(Symbol),%)->Void`dTheSymbolTable``260069
oargumentListOf`2`n`(Symbol,%)->List(Symbol)`dTheSymbolTable``260201
oargument`1`n`(%)->E`dFourierComponent(E)``260278
oargument`1`n`(%)->List(S)`cKernelCategory(S)``260356
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`x`(%)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`260434
oarguments`1`n`(OutputForm)->List(OutputForm)`pOutputFormTools``260509
oarity`1`x`(%)->Union(NonNegativeInteger,"failed")`dBasicOperator``260618
oaromberg`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``260738
oarray2`1`n`(List(List(R)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oarray2`1`x`(List(List(R)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``261535
oarrayStack`1`x`(List(S))->%`dArrayStack(S)``261627
oarrowName`3`n`(%,NonNegativeInteger,NonNegativeInteger)->String`cFiniteGraph(S)``261795
oarrowName`3`n`(A,NonNegativeInteger,NonNegativeInteger)->String`xFiniteGraph&(A,S)``0
oarrowName`3`n`(A,NonNegativeInteger,NonNegativeInteger)->String`xPoset&(A,S)``0
oarrowsFromArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``261916
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsFromNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``261968
oarrowsFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``262054
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``262145
oarrowsToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``262231
oasec`1`n`(F)->F`pElementaryFunction(R,F)``262320
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)``262390
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``262461
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``262532
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``262605
oasec`1`x`(%)->%`cArcTrigonometricFunctionCategory``262680
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``262738
oasech`1`n`(F)->F`pElementaryFunction(R,F)``262829
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)``262911
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``263003
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``263095
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``263184
oasech`1`x`(%)->%`cArcHyperbolicFunctionCategory``263275
oasimpson`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``263345
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``264142
oasin`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``264231
oasin`1`n`(F)->F`pElementaryFunction(R,F)``264300
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)``264368
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``264437
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``264506
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``264577
oasin`1`x`(%)->%`cArcTrigonometricFunctionCategory``264650
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``265012
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``265103
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)``265183
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``265273
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``265363
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``265450
oasinh`1`x`(%)->%`cArcHyperbolicFunctionCategory``265539
oassert`2`x`(%,Symbol)->%`dBasicOperator``265607
oassign`2`n`(%,%)->%`dOutputForm``265758
oassign`2`n`(Symbol,Expression(Complex(Float)))->%`dFortranCode``265836
oassign`2`n`(Symbol,Expression(Float))->%`dFortranCode``265921
oassign`2`n`(Symbol,Expression(Integer))->%`dFortranCode``266006
oassign`2`n`(Symbol,Expression(MachineComplex))->%`dFortranCode``266091
oassign`2`n`(Symbol,Expression(MachineFloat))->%`dFortranCode``266176
oassign`2`n`(Symbol,Expression(MachineInteger))->%`dFortranCode``266261
oassign`2`n`(Symbol,Matrix(Expression(Complex(Float))))->%`dFortranCode``266346
oassign`2`n`(Symbol,Matrix(Expression(Float)))->%`dFortranCode``266431
oassign`2`n`(Symbol,Matrix(Expression(Integer)))->%`dFortranCode``266516
oassign`2`n`(Symbol,Matrix(Expression(MachineComplex)))->%`dFortranCode``266601
oassign`2`n`(Symbol,Matrix(Expression(MachineFloat)))->%`dFortranCode``266686
oassign`2`n`(Symbol,Matrix(Expression(MachineInteger)))->%`dFortranCode``266771
oassign`2`n`(Symbol,Matrix(MachineComplex))->%`dFortranCode``266856
oassign`2`n`(Symbol,Matrix(MachineFloat))->%`dFortranCode``266941
oassign`2`n`(Symbol,Matrix(MachineInteger))->%`dFortranCode``267026
oassign`2`n`(Symbol,String)->%`dFortranCode``267111
oassign`2`n`(Symbol,Vector(Expression(Complex(Float))))->%`dFortranCode``267196
oassign`2`n`(Symbol,Vector(Expression(Float)))->%`dFortranCode``267281
oassign`2`n`(Symbol,Vector(Expression(Integer)))->%`dFortranCode``267366
oassign`2`n`(Symbol,Vector(Expression(MachineComplex)))->%`dFortranCode``267451
oassign`2`n`(Symbol,Vector(Expression(MachineFloat)))->%`dFortranCode``267536
oassign`2`n`(Symbol,Vector(Expression(MachineInteger)))->%`dFortranCode``267621
oassign`2`n`(Symbol,Vector(MachineComplex))->%`dFortranCode``267706
oassign`2`n`(Symbol,Vector(MachineFloat))->%`dFortranCode``267791
oassign`2`n`(Symbol,Vector(MachineInteger))->%`dFortranCode``267876
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->%`dFortranCode``267961
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Float))->%`dFortranCode``268135
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Integer))->%`dFortranCode``268309
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->%`dFortranCode``268483
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->%`dFortranCode``268657
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->%`dFortranCode``268831
oassoc`2`x`(Key,%)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``269005
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`269164
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``269362
oassociates?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`x`(%,%)->Boolean`cEntireRing``269511
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``269642
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``269722
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``269802
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`270151
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(%,%,%)->%`cNonAssociativeRng``270500
oatType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``270570
oatan1`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``270645
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``270697
oatan`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``270786
oatan`1`n`(F)->F`pElementaryFunction(R,F)``270855
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)``270926
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``270998
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``271070
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``271144
oatan`1`x`(%)->%`cArcTrigonometricFunctionCategory``271220
oatan`2`x`(%,%)->%`dDoubleFloat``271639
oatan`2`x`(%,%)->%`dFloat``271726
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``271813
oatanh`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatElementaryFunctions``271904
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``271950
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)``272033
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``272126
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``272219
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``272309
oatanh`1`x`(%)->%`cArcHyperbolicFunctionCategory``272401
oatom?`1`n`(%)->Boolean`dILogic``272472
oatom?`1`n`(%)->Boolean`dLambda(UT)``272598
oatom?`1`n`(%)->Boolean`dLatticeJoinOfMeets``272751
oatom?`1`n`(%)->Boolean`dLatticeMeetOfJoins``272877
oatom?`1`n`(%)->Boolean`dSKICombinators(UT)``273003
oatom?`1`n`(OutputForm)->Boolean`pOutputFormTools``273129
oatom?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``273218
oatom_to_string`1`n`(OutputForm)->String`pOutputFormTools``273284
oatoms`1`n`(%)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``273350
oatrapezoidal`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``273443
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``274248
oaugment`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``274428
oaugment`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``274530
oaugment`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``274962
oautoReduce`1`n`(List(%))->List(%)`cJetBundleFunctionCategory(JB)``275062
oautoReduce`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(%,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``275211
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``275386
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``275475
oaxes`2`x`(%,String)->Void`dThreeDimensionalViewport``275586
oaxes`3`n`(%,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``275818
oaxes`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``276069
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:%))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``276333
oback`1`x`(%)->S`cQueueAggregate(S)``276575
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``276723
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``276761
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``276799
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->%`dBalancedBinaryTree(S)``276931
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``277049
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``277239
obandMatrix`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`277404
obandMatrix`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`277636
oband`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``277868
oband`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``277944
obandedHessian`3`n`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``278026
obandedJacobian`4`n`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``278599
obase`0`n`()->PositiveInteger`dMachineFloat``279319
obase`0`x`()->%`cIntegerNumberSystem``279370
obase`0`x`()->PositiveInteger`cFloatingPointSystem``279458
obase`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``279548
obase`1`x`(%)->List(S)`dPermutationGroup(S)``279609
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)``279671
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)``279997
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``280184
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``280445
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``280604
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``280773
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``280897
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``281077
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``281258
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``281440
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``281668
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``281793
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``281974
obasis`0`n`()->Vector(%)`cFramedModule(R)``282157
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`n`()->Vector(S)`xOctonionCategory&(S,R)``0
obasis`1`n`(%)->Vector(A)`dFractionalIdeal(R,F,UP,A)``282220
obasis`1`n`(%)->Vector(A)`dFractionalIdealAsModule(R,F,UP,A,ibasis)``282304
obasis`1`n`(List(Vector(R)))->%`dVectorSpaceBasis(R)``282382
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``282480
obasis`1`x`(PositiveInteger)->Vector(%)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`282574
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`282665
obasis`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``282737
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``283049
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``283156
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``283206
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``283306
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``283450
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``283538
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``283618
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``283709
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``283770
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace``283857
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`283944
obernoulliDistribution01`1`x`(R)->Distribution(R)`pDistributionPackage(R)``284043
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``284137
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``284461
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``284620
obesselI`2`x`(%,%)->%`cSpecialFunctionCategory``284721
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``284802
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``285017
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``285232
obesselJ`2`x`(%,%)->%`cSpecialFunctionCategory``285333
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``285405
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``285611
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``285817
obesselK`2`x`(%,%)->%`cSpecialFunctionCategory``285918
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``286000
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``286399
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``286799
obesselY`2`x`(%,%)->%`cSpecialFunctionCategory``286900
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``286973
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``287375
obeta`0`n`()->Symbol`pMathematicalSymbols``287777
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`287842
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``287978
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)`288086
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``288241
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``288632
obinarySearchTree`1`x`(List(S))->%`dBinarySearchTree(S)``288684
obinarySearch`2`n`(S,(S,S)->Integer)->Union(S,"failed")`pSortedCache(S)``288784
obinaryTournament`1`x`(List(S))->%`dBinaryTournament(S)``289008
obinaryTree`1`x`(S)->%`dBinaryTree(S)``289126
obinaryTree`3`x`(%,S,%)->%`dBinaryTree(S)``289231
obinary`1`x`(Fraction(Integer))->%`dBinaryExpansion``289365
obinary`2`n`(%,List(%))->%`dInputForm``289439
obinary`2`n`((Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``289555
obinary`2`n`((Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``289885
obind`1`n`(%)->%`dLambda(UT)``290215
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(%,%,NonNegativeInteger)->%`cFiniteAbelianMonoidRing(R,E)`has(%,CommutativeRing)`290306
obinomial`2`n`(%,%)->%`dOutputForm``290409
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``290510
obinomial`2`n`(Integer,Fraction(Integer))->()->Integer`pRandomIntegerDistributions``290687
obinomial`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``290732
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`x`(%,%)->%`cCombinatorialFunctionCategory``290865
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``291065
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``291273
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``291576
obirth`1`n`(%)->%`dSubSpace(n,R)``291818
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(%,%)->Boolean`cIntegerNumberSystem``291855
obitCoef`2`n`(Integer,NonNegativeInteger)->Integer`pIntegerBits``291953
obitTruth`2`n`(Integer,NonNegativeInteger)->Boolean`pIntegerBits``292060
obits`0`x`()->PositiveInteger`cFloatingPointSystem``292184
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`292249
obits`2`x`(NonNegativeInteger,Boolean)->%`dBits``292342
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``292415
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``292513
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``292674
oblankSeparate`1`n`(List(%))->%`dOutputForm``292842
oblockConcat`1`n`(List(List(S)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockConcat`1`x`(List(List(%)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``292937
oblockElimination`5`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``293084
oblockElimination`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),Boolean,List(NonNegativeInteger),List(NonNegativeInteger),Boolean)->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``293193
oblockElimination`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`293585
oblockSplit`3`n`(M,List(NonNegativeInteger),PositiveInteger)->List(List(M))`pMatrixManipulation(R,Row,Col,M)``293939
oblockSplit`3`n`(M,PositiveInteger,List(NonNegativeInteger))->List(List(M))`pMatrixManipulation(R,Row,Col,M)``294060
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)``294181
oblockSplit`3`x`(%,PositiveInteger,PositiveInteger)->List(List(%))`cTwoDimensionalArrayCategory(R,Row,Col)``294558
oblockStructure`1`n`(%)->Matrix(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``294807
oblock`1`n`(List(%))->%`dFortranCode``295102
oblue`0`x`()->%`dColor``295192
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``295267
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``295351
oboolWordPermute`2`n`(NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``295445
oboolWordPermute`3`n`(List(List(Boolean)),NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``295578
obooleanConvolution`2`n`(%,%)->%`cDistributionCategory(R)``295619
obooleanCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``295735
obooleanCumulantFromJacobi`3`x`(Integer,Sequence(R),Sequence(R))->R`dDistribution(R)``295858
obooleanCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``296011
obooleanCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``296119
obottom`1`n`(Stream(List(R)))->Stream(R)`pPathArrayPackage(R)``296225
obottom`1`x`(%)->S`cDequeueAggregate(S)``296290
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`296371
obound`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``296431
oboundary`1`n`(%)->%`dFiniteCubicalComplex(VS)``296650
oboundary`1`n`(%)->%`dFiniteSimplicialComplex(VS)``296868
oboundary`1`n`(%)->List(%)`dCubicalFacet``297067
oboundary`1`n`(%)->List(%)`dOrientedFacet``297136
oboundary`2`n`(%,DoubleFloat)->SBoundary(PT)`dScene(PT)``297205
oboxBoundary`2`n`(PT,PT)->%`dSBoundary(PT)``298094
obox`1`n`(%)->%`dOutputForm``298318
obox`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``298367
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(String)->%`dOutputBox``298552
obox`1`x`(%)->%`cExpressionSpace``298622
obrace`1`n`(%)->%`dOutputForm``298859
obrace`1`n`(List(%))->%`dOutputForm``298946
obracket`1`n`(%)->%`dOutputForm``299077
obracket`1`n`(List(%))->%`dOutputForm``299158
obracket`3`n`(String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``299292
obracket`3`n`(String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``299536
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)``299780
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)``299917
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``300054
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``300130
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``300209
obright`1`x`(Color)->%`dPalette``300294
obright`1`x`(List(String))->List(String)`pDisplayPackage``300388
obright`1`x`(String)->List(String)`pDisplayPackage``300490
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``300579
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``300739
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``301036
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``301132
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``301269
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``301405
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)``301563
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``301821
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`302344
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``302387
obuild`3`n`(R,IS,E)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``302435
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``302482
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``302653
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``302797
ocAcos`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302944
ocAcosh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303070
ocAcot`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303213
ocAcoth`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303342
ocAcsc`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303488
ocAcsch`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303616
ocAsec`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303761
ocAsech`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303887
ocAsin`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304030
ocAsinh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304154
ocAtan`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304295
ocAtanh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304422
ocCos`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304566
ocCosh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304688
ocCot`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304822
ocCoth`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304947
ocCsc`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305084
ocCsch`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305208
ocExp`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305344
ocLog`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305471
ocPower`2`n`(%,Coef)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305596
ocRationalPower`2`n`(%,Fraction(Integer))->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305741
ocSec`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305849
ocSech`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305971
ocSin`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306105
ocSinh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306225
ocTan`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306357
ocTanh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306480
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``306615
ocall`1`n`(String)->%`dFortranCode``306657
ocanonicalBasis`1`n`(NonNegativeInteger)->%`dVectorSpaceBasis(R)``306732
ocanonicalIfCan`2`n`(MPT,MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``306833
ocanonicalMoebiusFunction`1`n`(List(P))->%`dGeneralizedFiniteMoebiusFunction(P,R)``306939
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``307018
ocar`1`x`(%)->%`cSExpressionCategory(Str,Sym,Int,Flt)``307133
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(%)->NonNegativeInteger`cFiniteSetAggregate(S)``307189
ocarmichaelLambda`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``307297
ocartesianPower`2`n`(List(T),NonNegativeInteger)->List(List(T))`pListPackage(T)``307528
ocartesian`1`n`(List(List(T)))->List(List(T))`pListPackage(T)``307626
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``307754
ocartesian`2`n`(%,%)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``307836
ocartesian`2`n`(%,%)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``308296
ocartesian`2`n`(%,%)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``308418
ocartesian`2`n`(%,%)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``308843
ocatalan`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``309268
ocdr`1`x`(%)->%`cSExpressionCategory(Str,Sym,Int,Flt)``309332
oceiling`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``309403
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(%)->%`cRealNumberSystem``309482
oceiling`1`x`(%)->%`cSpecialFunctionCategory``309545
oceiling`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`309624
ocenter`1`n`(%)->%`dOutputForm``309703
ocenter`1`x`(%)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``309765
ocenter`2`n`(%,Integer)->%`dOutputForm``309852
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``309935
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``310221
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``310540
ochainComplex`1`n`(List(Matrix(Integer)))->%`dChainComplex``310747
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``310766
ochain`1`n`(%)->ChainComplex`dDeltaComplex(VS)``310877
ochain`1`n`(%)->ChainComplex`dFiniteCubicalComplex(VS)``310960
ochain`1`n`(%)->ChainComplex`dFiniteSimplicialComplex(VS)``311043
ochangeBase`3`n`(Integer,Integer,PositiveInteger)->%`dMachineFloat``311239
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``311300
ochangeExprLength`1`n`(Integer)->Void`pFortranCodeTools``311457
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``311539
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``311645
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``311751
ocharClass`1`x`(List(Character))->%`dCharacterClass``311891
ocharClass`1`x`(String)->%`dCharacterClass``312010
ochar_pol_via_den_interpolation`1`n`(Matrix(Fraction(R)))->SparseUnivariatePolynomial(Fraction(R))`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`312131
ochar_pol_via_interpolation`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial3(R)``312227
ochar_pol`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pCharacteristicPolynomial2(F)``312319
ochar`1`x`(Integer)->%`dCharacter``312393
ochar`1`x`(String)->%`dCharacter``312533
ocharacter?`1`n`(%)->Boolean`dFortranScalarType``312614
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``312710
ocharacteristicPolynomial`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pInnerEigenPackage(F)``312819
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`(%)->UP`cFiniteRankAlgebra(R,UP)``312922
ocharacteristicPolynomial`1`x`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``313071
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``313252
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``313425
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``313585
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``313764
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``313935
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``314087
ocharacteristicSerie`1`x`(List(P))->List(%)`dWuWenTsunTriangularSet(R,E,V,P)``314375
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(%)`dWuWenTsunTriangularSet(R,E,V,P)``314505
ocharacteristicSet`1`x`(List(P))->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``314884
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``315010
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``315692
ocharlierC`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``315763
ocharlierC`3`x`(%,%,%)->%`cSpecialFunctionCategory``315828
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``315892
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`x`(%)->%`cFiniteFieldCategory``316003
ocharthRoot`1`x`(%)->Union(%,"failed")`cCharacteristicNonZero``316129
ocharthRoot`1`x`(%)->Union(%,"failed")`cPolynomialFactorizationExplicit`has(%,CharacteristicNonZero)`316247
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``316368
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``316660
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``316852
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``317139
ocheckExtraValues`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``317326
ocheckExtraValues`1`x`(Boolean)->%`dGuessOption``317481
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``317674
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``317935
ocheckOptions`1`n`(List(GuessOption))->Void`dGuessOptionFunctions0``318214
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``318322
ocheckType`1`n`(String)->String`pFortranCodeTools``318444
ocheck_sol1a`6`n`(Vector(U32Vector),List(U32Vector),(List(U32Vector),Integer,Integer)->Vector(U32Vector),Integer,Integer,Integer)->U32Vector`pModularHermitePade``318471
ocheck`1`n`(List(GuessOption))->Union("skip","MonteCarlo","deterministic")`dGuessOptionFunctions0``318560
ocheck`1`x`(%)->%`cThreeSpaceCategory(R)``318825
ocheck`1`x`(Union("skip","MonteCarlo","deterministic"))->%`dGuessOption``318951
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``319239
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``319275
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``319317
ochi`0`n`()->Symbol`pMathematicalSymbols``319358
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)`319421
ochild`2`n`(%,NonNegativeInteger)->%`dSubSpace(n,R)``319502
ochildren`1`n`(%)->List(%)`dSubSpace(n,R)``319544
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`x`(%)->List(%)`cRecursiveAggregate(S)``319584
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``319693
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``319938
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)``320146
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``320206
ochinese_update`3`n`(U32Vector,Integer,%)->Void`dVectorIntegerReconstructor``320410
ochinese_update`3`n`(U32Vector,Integer,%)->Void`dVectorModularReconstructor``320498
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``320618
ochvar`2`n`(List(UPUP),UPUP)->Record(func:List(UPUP),poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``320656
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``320751
ocircle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``321150
oclass`1`n`(%)->NonNegativeInteger`cJetBundleCategory``321216
oclass`1`n`(%)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``321336
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`cJetBundleCategory``321447
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`xJetBundleCategory&(S)``321561
oclass`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oclass`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oclassicalConvolution`2`n`(%,%)->%`cDistributionCategory(R)``321675
oclassicalCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``321795
oclassicalCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``321907
oclearCache`0`n`()->Void`pSortedCache(S)``322012
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``322058
oclearDenominator`1`n`(P)->P`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``322242
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``322391
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``322575
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
oclearFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``322720
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``322792
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``322886
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``322955
oclear_used_intrinsics`0`n`()->Void`pFortranCodeTools``323035
oclexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``323103
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``323688
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``323905
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``324260
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``324649
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``324743
oclipSurface`2`x`(%,String)->Void`dThreeDimensionalViewport``324908
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``325214
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``325558
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``325829
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``326106
oclip`1`x`(Boolean)->%`dDrawOption``326390
oclip`1`x`(List(Segment(Float)))->%`dDrawOption``326554
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``326712
oclose!`1`x`(%)->%`cFileCategory(Name,S)``327027
oclose!`1`x`(%)->%`dLibrary``327105
ocloseComponent`3`n`(%,List(NonNegativeInteger),Boolean)->%`dSubSpace(n,R)``327186
oclose`1`n`(%)->Void`dTwoDimensionalViewport``327654
oclose`1`x`(%)->Void`dThreeDimensionalViewport``327858
oclose`2`n`(%,Boolean)->Boolean`dSubSpaceComponentProperty``328066
oclosed?`1`n`(%)->Boolean`dSubSpaceComponentProperty``328108
oclosed?`1`n`(%)->Boolean`dTubePlot(Curve)``328147
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dDirectedGraph(S)``328226
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dMultifunctionGraph(S)``328356
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dUndirectedGraph(S)``328478
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dWeightedGraph(S,W)``328522
oclosedCurve?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``328566
oclosedCurve`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``328802
oclosedCurve`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``329148
oclosedCurve`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``329411
oclosedCurve`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``329950
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dDirectedGraph(S)``330230
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dFunctionGraph(S)``330354
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dMultifunctionGraph(S)``330480
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dUndirectedGraph(S)``330521
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dWeightedGraph(S,W)``330562
ocmult`1`n`(List(SparseMultivariatePolynomial(R0,Kernel(F))))->SparseMultivariatePolynomial(R0,Kernel(F))`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``330603
ocnlexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``330658
ocoAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``331253
ocoAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``331369
ocoChainComplex`1`n`(ChainComplex)->%`dCoChainComplex(VS)``331485
ocoChainComplex`1`n`(List(Matrix(Integer)))->%`dCoChainComplex(VS)``331529
ocoChain`1`n`(%)->CoChainComplex(VS)`dDeltaComplex(VS)``331548
ocoChain`1`n`(%)->CoChainComplex(VS)`dFiniteSimplicialComplex(VS)``331631
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(%)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`331835
ocoHomology`1`n`(%)->List(Homology)`dCoChainComplex(VS)``331906
ocoHomology`1`n`(%)->List(Homology)`dDeltaComplex(VS)``331954
ocoHomology`1`n`(%)->List(Homology)`dFiniteSimplicialComplex(VS)``332004
ocoboundary`3`n`(%,NonNegativeInteger,List(VS))->List(VS)`dCoChainComplex(VS)``332156
ococyclotomic_decomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicUtilities``332224
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``332338
ocoefChoose`3`n`(Integer,P,List(Record(factor:P,exponent:NonNegativeInteger)))->P`pMultivariateSquareFree(E,OV,R,P)``332435
ocoef`2`n`(%,E)->R`dXPolynomialRing(R,E)``332476
ocoef`2`x`(%,%)->R`cXFreeAlgebra(vl,R)``332595
ocoef`2`x`(%,FreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``332728
ocoef`2`x`(XRecursivePolynomial(VarSet,R),%)->R`cFreeLieAlgebra(VarSet,R)``332813
ocoefficientSet`1`n`(SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
ocoefficient`2`n`(%,%)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``332950
ocoefficient`2`n`(%,%)->R`dAntiSymm(R,lVar)``333144
ocoefficient`2`n`(%,Integer)->R`dLaurentPolynomial(R,UP)``333366
ocoefficient`2`n`(%,JB)->D`dJetDifferential(JB,D)``333414
ocoefficient`2`n`(%,JB)->D`dJetVectorField(JB,D)``333522
ocoefficient`2`n`(%,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``333617
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,IndexedExponents(Var))->Coef`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`2`x`(%,E)->R`cAbelianMonoidRing(R,E)``333693
ocoefficient`2`x`(%,List(PositiveInteger))->K`dCliffordAlgebra(n,K,bLin)``333863
ocoefficient`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``333989
ocoefficient`2`x`(%,S)->R`cFreeModuleCategory(R,S)``334065
ocoefficient`3`n`(%,List(VarSet),List(NonNegativeInteger))->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``334153
ocoefficient`3`n`(%,VarSet,NonNegativeInteger)->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``334370
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`x`(%,List(Var),List(NonNegativeInteger))->%`cMultivariateTaylorSeriesCategory(Coef,Var)``334530
ocoefficient`3`x`(%,Var,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``334680
ocoefficients`1`n`(%)->List(D)`dJetDifferential(JB,D)``334770
ocoefficients`1`n`(%)->List(D)`dJetVectorField(JB,D)``334839
ocoefficients`1`n`(%)->Stream(Coef)`dInnerTaylorSeries(Coef)``334906
ocoefficients`1`n`(%)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``335247
ocoefficients`1`n`(A)->List(R)`xFreeModuleCategory&(A,R,S)``0
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`x`(%)->List(R)`cFreeModuleCategory(R,S)``335403
ocoefficients`1`x`(%)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``335479
ocoeffs0`3`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``335637
ocoeffs1`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``335700
ocoerceImages`1`x`(List(S))->%`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`335904
ocoerceImages`1`x`(List(S))->%`dPermutation(S)`has(S,IntegerNumberSystem)`336225
ocoerceL`1`n`(OutputForm)->String`dHTMLFormat``336546
ocoerceL`1`n`(OutputForm)->String`dMathMLFormat``336673
ocoerceL`1`n`(OutputForm)->String`dTexmacsFormat``336802
ocoerceListOfPairs`1`x`(List(List(S)))->%`dPermutation(S)``336932
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``337226
ocoercePreimagesImages`1`x`(List(List(S)))->%`dPermutation(S)``337359
ocoerceS`1`n`(OutputForm)->String`dHTMLFormat``337573
ocoerceS`1`n`(OutputForm)->String`dMathMLFormat``337691
ocoerceToType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``337811
ocoerce_Q`1`n`(Fraction(Integer))->F`pFunctionalSpecialFunction(R,F)``337886
ocoerce`1`n`(%)->(PositiveInteger)->Coef`dDirichletRing(Coef)``0
ocoerce`1`n`(%)->Complex(DoubleFloat)`dSArgand``0
ocoerce`1`n`(%)->Complex(Float)`dMachineComplex``337944
ocoerce`1`n`(%)->D`dJetLazyFunction(JB,D)``338009
ocoerce`1`n`(%)->DeltaComplex(VS)`dFiniteCubicalComplex(VS)``338215
ocoerce`1`n`(%)->DeltaComplex(VS)`dFiniteSimplicialComplex(VS)``338267
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)``338322
ocoerce`1`n`(%)->FiniteSimplicialComplex(VS)`dDeltaComplex(VS)``338362
ocoerce`1`n`(%)->Float`dMachineFloat``338423
ocoerce`1`n`(%)->FreeMagma(VarSet)`dLyndonWord(VarSet)``338493
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dFreeMagma(VarSet)``338596
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dLyndonWord(VarSet)``338724
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``338828
ocoerce`1`n`(%)->LatticeMeetOfJoins`dLatticeJoinOfMeets``338979
ocoerce`1`n`(%)->List(Integer)`dPartition``339038
ocoerce`1`n`(%)->List(String)`dXmlElement``339106
ocoerce`1`n`(%)->List(Vector(R))`dVectorSpaceBasis(R)``339304
ocoerce`1`n`(%)->Matrix(D)`dSparseEchelonMatrix(C,D)``339367
ocoerce`1`n`(%)->Matrix(R)`dRectangularMatrix(m,n,R)``339444
ocoerce`1`n`(%)->Matrix(R)`dSquareMatrix(ndim,R)``339558
ocoerce`1`n`(%)->OutputForm`cSPointCategory``339671
ocoerce`1`n`(%)->OutputForm`dFortranCode``339685
ocoerce`1`n`(%)->OutputForm`dFortranType``339747
ocoerce`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``339810
ocoerce`1`n`(%)->OutputForm`dGraphImage``339951
ocoerce`1`n`(%)->OutputForm`dJetDifferentialEquation(JB,D)``340113
ocoerce`1`n`(%)->OutputForm`dLinearMultivariateMatrixPencil(R)``340211
ocoerce`1`n`(%)->OutputForm`dSBoundary(PT)``340283
ocoerce`1`n`(%)->OutputForm`dSTransform(PT)``340359
ocoerce`1`n`(%)->OutputForm`dScene(PT)``340391
ocoerce`1`n`(%)->OutputForm`dSceneIFS(PT)``340635
ocoerce`1`n`(%)->OutputForm`dTwoDimensionalViewport``340699
ocoerce`1`n`(%)->P`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``340881
ocoerce`1`n`(%)->Polynomial(R)`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(%)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``340939
ocoerce`1`n`(%)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``341012
ocoerce`1`n`(%)->R`dModularField(R,Mod,reduction,merge,exactQuo)``341050
ocoerce`1`n`(%)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``341088
ocoerce`1`n`(%)->Record(index:IS,exponent:E)`dModuleMonomial(IS,E,ff)``341126
ocoerce`1`n`(%)->SExpression`dFortranScalarType``341164
ocoerce`1`n`(%)->Stream(Coef)`dDirichletRing(Coef)``0
ocoerce`1`n`(%)->String`dFortranScalarType``341245
ocoerce`1`n`(%)->String`dXmlAttribute``341323
ocoerce`1`n`(%)->Symbol`dFortranScalarType``341376
ocoerce`1`n`(%)->Symbol`dVariable(sym)``341444
ocoerce`1`n`(%)->Table(Symbol,FortranType)`dSymbolTable``341487
ocoerce`1`n`(%)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``341544
ocoerce`1`n`(%)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``341614
ocoerce`1`n`(%)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``341687
ocoerce`1`n`(%)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``341757
ocoerce`1`n`(%)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``341830
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)``341898
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``341985
ocoerce`1`n`(Complex(Integer))->%`dMachineComplex``342051
ocoerce`1`n`(Complex(MachineFloat))->%`dMachineComplex``342117
ocoerce`1`n`(Complex(MachineInteger))->%`dMachineComplex``342183
ocoerce`1`n`(D)->%`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(D)->%`dJetLazyFunction(JB,D)``342249
ocoerce`1`n`(E)->%`dXPolynomialRing(R,E)``342404
ocoerce`1`n`(Equation(Expression(Complex(Float))))->%`dFortranProgram(name,returnType,arguments,symbols)``342447
ocoerce`1`n`(Equation(Expression(Float)))->%`dFortranProgram(name,returnType,arguments,symbols)``342488
ocoerce`1`n`(Equation(Expression(Integer)))->%`dFortranProgram(name,returnType,arguments,symbols)``342529
ocoerce`1`n`(Equation(Expression(MachineComplex)))->%`dFortranProgram(name,returnType,arguments,symbols)``342570
ocoerce`1`n`(Equation(Expression(MachineFloat)))->%`dFortranProgram(name,returnType,arguments,symbols)``342611
ocoerce`1`n`(Equation(Expression(MachineInteger)))->%`dFortranProgram(name,returnType,arguments,symbols)``342652
ocoerce`1`n`(Expression(Complex(Float)))->%`dFortranProgram(name,returnType,arguments,symbols)``342693
ocoerce`1`n`(Expression(Float))->%`dFortranProgram(name,returnType,arguments,symbols)``342733
ocoerce`1`n`(Expression(Integer))->%`dFortranProgram(name,returnType,arguments,symbols)``342773
ocoerce`1`n`(Expression(Integer))->%`dJetBundleExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->%`dJetBundleXExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->Expression(%)`dMachineInteger``342813
ocoerce`1`n`(Expression(MachineComplex))->%`dFortranProgram(name,returnType,arguments,symbols)``342886
ocoerce`1`n`(Expression(MachineFloat))->%`dFortranProgram(name,returnType,arguments,symbols)``342926
ocoerce`1`n`(Expression(MachineInteger))->%`dFortranProgram(name,returnType,arguments,symbols)``342966
ocoerce`1`n`(F)->%`dFreeDivisionAlgebra(VAR,F)``343006
ocoerce`1`n`(FPol)->%`dResidueRing(F,Expon,VarSet,FPol,LFPol)``343142
ocoerce`1`n`(FinitePoset(S))->%`dDirectedGraph(S)``343229
ocoerce`1`n`(FinitePoset(S))->%`dUndirectedGraph(S)``343271
ocoerce`1`n`(FinitePoset(S))->%`dWeightedGraph(S,W)``343313
ocoerce`1`n`(FortranCode)->%`cFortranFunctionCategory``343355
ocoerce`1`n`(FortranCode)->%`cFortranMatrixCategory``343472
ocoerce`1`n`(FortranCode)->%`cFortranMatrixFunctionCategory``343589
ocoerce`1`n`(FortranCode)->%`cFortranVectorCategory``343706
ocoerce`1`n`(FortranCode)->%`cFortranVectorFunctionCategory``343823
ocoerce`1`n`(FortranCode)->%`dFortranProgram(name,returnType,arguments,symbols)``343940
ocoerce`1`n`(FortranScalarType)->%`dFortranType``343981
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)``344043
ocoerce`1`n`(GraphImage)->TwoDimensionalViewport`pViewportPackage``344177
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)``344319
ocoerce`1`n`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Lambda(UT))->SKICombinators(UT)`pcompUtil(UT)``344401
ocoerce`1`n`(LatticeMeetOfJoins)->%`dLatticeJoinOfMeets``345117
ocoerce`1`n`(LiePolynomial(VarSet,R))->%`dXPBWPolynomial(VarSet,R)``345176
ocoerce`1`n`(List(%))->SparseEchelonMatrix(JB,D)`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(List(FortranCode))->%`cFortranFunctionCategory``345218
ocoerce`1`n`(List(FortranCode))->%`cFortranMatrixCategory``345340
ocoerce`1`n`(List(FortranCode))->%`cFortranMatrixFunctionCategory``345462
ocoerce`1`n`(List(FortranCode))->%`cFortranVectorCategory``345584
ocoerce`1`n`(List(FortranCode))->%`cFortranVectorFunctionCategory``345706
ocoerce`1`n`(List(FortranCode))->%`dFortranProgram(name,returnType,arguments,symbols)``345828
ocoerce`1`n`(List(Integer))->%`dExtAlgBasis``345870
ocoerce`1`n`(List(List(Point(DoubleFloat))))->%`dGraphImage``346141
ocoerce`1`n`(List(S))->%`dDirectedGraph(S)``346609
ocoerce`1`n`(MachineInteger)->%`dMachineFloat``346644
ocoerce`1`n`(Matrix(MachineFloat))->%`cFortranMatrixCategory``346716
ocoerce`1`n`(OutputForm)->%`dTexFormat``346793
ocoerce`1`n`(OutputForm)->String`dHTMLFormat``346879
ocoerce`1`n`(OutputForm)->String`dMathMLFormat``346966
ocoerce`1`n`(OutputForm)->String`dTexmacsFormat``347055
ocoerce`1`n`(P)->%`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``347145
ocoerce`1`n`(PermutationGroup(S))->%`dDirectedGraph(S)``347244
ocoerce`1`n`(PermutationGroup(S))->%`dMultifunctionGraph(S)``347291
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->%`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->%`dThreeDimensionalMatrix(R)``347383
ocoerce`1`n`(PrimitiveArray(S))->%`dTuple(S)``347512
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)``347573
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranFunctionCategory``347611
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranMatrixCategory``347803
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranMatrixFunctionCategory``347995
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranVectorCategory``348187
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranVectorFunctionCategory``348379
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`dFortranProgram(name,returnType,arguments,symbols)``348571
ocoerce`1`n`(S)->%`cCoercibleFrom(S)``348611
ocoerce`1`n`(S)->%`dMakeCachableSet(S)``348671
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)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(SKICombinators(UT))->ILogic`pcompUtil(UT)``348740
ocoerce`1`n`(SKICombinators(UT))->Lambda(UT)`pcompUtil(UT)``349185
ocoerce`1`n`(SMP)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``349505
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseEchelonMatrix(JB,D))->List(%)`dJetBundleLinearFunction(JB,D)``349587
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)``349635
ocoerce`1`n`(String)->%`dFortranScalarType``349680
ocoerce`1`n`(Symbol)->%`dFortranScalarType``349969
ocoerce`1`n`(Symbol)->%`dJetBundle(IVar,DVar)``350234
ocoerce`1`n`(Symbol)->%`dJetBundleSymAna(JB1,xi,eta)``350390
ocoerce`1`n`(Symbol)->%`dSwitch``350464
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(UnivariatePolynomial('x,Coef))->%`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``350504
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->%`dUnivariateTaylorSeries(Coef,var,cen)``350642
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->%`dExponentialExpansion(R,FE,var,cen)``350780
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)``350889
ocoerce`1`n`(VarSet)->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``350954
ocoerce`1`n`(Variable('x))->%`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(Variable(var))->%`dSparseUnivariateLaurentSeries(Coef,var,cen)``350994
ocoerce`1`n`(Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``351083
ocoerce`1`n`(Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``351172
ocoerce`1`n`(Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)``351274
ocoerce`1`n`(Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)``351363
ocoerce`1`n`(Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)``351452
ocoerce`1`n`(Variable(x))->%`dUnivariateSkewPolynomial(x,R,sigma,delta)``351554
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``351617
ocoerce`1`n`(Vector(MachineFloat))->%`cFortranVectorCategory``351791
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``351868
ocoerce`1`n`(XDistributedPolynomial(VAR,F))->%`dFreeDivisionAlgebra(VAR,F)``352009
ocoerce`1`x`(%)->Fraction(Integer)`dBinaryExpansion``352150
ocoerce`1`x`(%)->Fraction(Integer)`dDecimalExpansion``352224
ocoerce`1`x`(%)->Fraction(Integer)`dHexadecimalExpansion``352299
ocoerce`1`x`(%)->Fraction(Integer)`dRadixExpansion(bb)``352378
ocoerce`1`x`(%)->Fraction(R)`dPartialFraction(R)``352452
ocoerce`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``352554
ocoerce`1`x`(%)->List(S)`dDataList(S)``352625
ocoerce`1`x`(%)->OutputForm`cThreeSpaceCategory(R)``352690
ocoerce`1`x`(%)->OutputForm`dVoid``352775
ocoerce`1`x`(%)->R`dOrdinaryDifferentialRing(Kernels,R,var)``352834
ocoerce`1`x`(%)->RadixExpansion(10)`dDecimalExpansion``352918
ocoerce`1`x`(%)->RadixExpansion(16)`dHexadecimalExpansion``353006
ocoerce`1`x`(%)->RadixExpansion(2)`dBinaryExpansion``353098
ocoerce`1`x`(%)->S`cCoercibleTo(S)``353184
ocoerce`1`x`(%)->String`cFileNameCategory``353250
ocoerce`1`x`(%)->Tree(S)`dPendantTree(S)``353362
ocoerce`1`x`(%)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``353400
ocoerce`1`x`(%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``353468
ocoerce`1`x`(A)->%`dAssociatedJordanAlgebra(R,A)``353536
ocoerce`1`x`(A)->%`dAssociatedLieAlgebra(R,A)``353700
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``353858
ocoerce`1`x`(Character)->%`cStringAggregate``353941
ocoerce`1`x`(Col)->%`cMatrixCategory(R,Row,Col)``354032
ocoerce`1`x`(Color)->%`dPalette``354109
ocoerce`1`x`(DirectProduct(dim,R))->%`dCartesianTensor(minix,dim,R)``354213
ocoerce`1`x`(Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``354272
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``354357
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``354514
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``354965
ocoerce`1`x`(FourierComponent(E))->%`dFourierSeries(R,E)``355419
ocoerce`1`x`(Fraction(Factored(R)))->%`dPartialFraction(R)``355486
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``355778
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->%`cFunctionSpace(R)`has(R,IntegralDomain)`355928
ocoerce`1`x`(Fraction(R))->%`cFunctionSpace(R)`has(R,IntegralDomain)`355990
ocoerce`1`x`(Integer)->%`cNonAssociativeRing``356052
ocoerce`1`x`(Integer)->%`dOrdSetInts``356132
ocoerce`1`x`(List(%))->%`dCartesianTensor(minix,dim,R)``356202
ocoerce`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``356292
ocoerce`1`x`(List(List(S)))->%`dPermutation(S)``356385
ocoerce`1`x`(List(Permutation(S)))->%`dPermutationGroup(S)``356709
ocoerce`1`x`(List(R))->%`dCartesianTensor(minix,dim,R)``356811
ocoerce`1`x`(List(Record(k:M,c:R)))->%`cMonoidRingCategory(R,M)``356901
ocoerce`1`x`(List(S))->%`dDataList(S)``356995
ocoerce`1`x`(List(S))->%`dDatabase(S)``357052
ocoerce`1`x`(List(S))->%`dPermutation(S)``357107
ocoerce`1`x`(List(S))->%`dStream(S)``357335
ocoerce`1`x`(PiDomain)->Expression(R)`pPiCoercions(R)``357397
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``357466
ocoerce`1`x`(Polynomial(Coef))->%`dTaylorSeries(Coef)``357592
ocoerce`1`x`(Polynomial(Fraction(R)))->%`cFunctionSpace(R)`has(R,IntegralDomain)`357693
ocoerce`1`x`(R)->%`cAlgebra(R)``357755
ocoerce`1`x`(R)->%`cLeftAlgebra(R)``357838
ocoerce`1`x`(R)->%`cXAlgebra(R)``357928
ocoerce`1`x`(R)->%`dFourierSeries(R,E)``357971
ocoerce`1`x`(R)->%`dOrdinaryDifferentialRing(Kernels,R,var)``358037
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``358122
ocoerce`1`x`(S)->%`cDifferentialVariableCategory(S)``358208
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``358304
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``358407
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``358488
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``358715
ocoerce`1`x`(Segment(S))->%`dUniversalSegment(S)``359050
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``359125
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(%)))->%`dAlgebraicNumber``359259
ocoerce`1`x`(SparseMultivariatePolynomial(R,Kernel(%)))->%`cFunctionSpace(R)`has(R,Ring)`359331
ocoerce`1`x`(SquareMatrix(dim,R))->%`dCartesianTensor(minix,dim,R)``359393
ocoerce`1`x`(String)->%`cFileNameCategory``359452
ocoerce`1`x`(String)->%`dIndexCard``359562
ocoerce`1`x`(String)->%`dSymbol``359718
ocoerce`1`x`(Symbol)->%`dOpenMathErrorKind``359784
ocoerce`1`x`(Symbol)->%`dTaylorSeries(Coef)``360016
ocoerce`1`x`(ULS)->%`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``360079
ocoerce`1`x`(UTS)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``360167
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``360254
ocoerce`1`x`(VarSet)->%`cFreeLieAlgebra(VarSet,R)``360331
ocoerce`1`x`(Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``360393
ocoerce`1`x`(Variable(x))->%`dUnivariatePolynomial(x,R)``360482
ocoerce`1`x`(Vector(R))->%`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``360565
ocoerce`1`x`(vl)->%`cXFreeAlgebra(vl,R)``360772
ocolSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolSlice`1`x`(%)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``360814
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``360959
ocolinearity`2`n`(%,%)->DoubleFloat`cSPointCategory``361766
ocolinearity`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(%)->%`cTriangularSetCategory(R,E,V,P)``361988
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)``362112
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)``362246
ocollect`1`n`(%)->%`dJetLazyFunction(JB,D)``362383
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(%,VarSet)->%`cPolynomialSetCategory(R,E,VarSet,P)``362476
ocolorDef`3`x`(%,Color,Color)->Void`dThreeDimensionalViewport``362598
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->%`dDrawOption``362913
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->%`dDrawOption``363096
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->%`dDrawOption``363310
ocolor`1`n`(Point(R))->R`pPointPackage(R)``363546
ocolor`1`x`(Integer)->%`dColor``363859
ocolumnMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``363929
ocolumnSpace`1`n`(Matrix(R))->%`dVectorSpaceBasis(R)``364046
ocolumnSpace`1`n`(S)->List(Col)`xMatrixCategory&(S,R,Row,Col)``0
ocolumnSpace`1`x`(%)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`364271
ocolumnSpace`1`x`(%)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`364388
ocolumnSpan`1`n`(%)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``364506
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(%,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``364679
ocolumn`2`x`(%,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``364808
ocolumns`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``364933
ocolumns`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``365035
ocommaSeparate`1`n`(List(%))->%`dOutputForm``365137
ocomment`1`n`(List(String))->%`dFortranCode``365232
ocomment`1`n`(String)->%`dFortranCode``365339
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``365441
ocommonDenominator`1`n`(P)->R`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``365565
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``365672
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``365796
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
ocommon`2`n`(Symbol,List(Symbol))->%`dFortranCode``365899
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``365985
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``366069
ocommutator`2`n`(%,%)->%`dJetVectorField(JB,D)``366153
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`x`(%,%)->%`cGroup``366234
ocommutator`2`x`(%,%)->%`cNonAssociativeRng``366308
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``366365
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``366610
ocompactFraction`1`x`(%)->%`dPartialFraction(R)``366660
ocompanionBlocks`2`n`(Matrix(K),List(Vector(K)))->List(Record(C:Matrix(K),lg:List(Vector(K))))`pPseudoLinearNormalForm(K)``366861
ocomparison`2`x`(%,(%,%)->Boolean)->%`dBasicOperator``367046
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Integer`pMultivariateSquareFree(E,OV,R,P)``367313
ocompile`2`n`(Symbol,List(%))->Symbol`dInputForm``367352
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``367689
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``367882
ocomplementSpace`1`n`(%)->%`dVectorSpaceBasis(R)``368102
ocomplementSpace`1`n`(List(Vector(R)))->%`dVectorSpaceBasis(R)``368266
ocomplementSpace`2`n`(%,NonNegativeInteger)->%`dVectorSpaceBasis(R)``368425
ocomplementSpace`2`n`(List(Vector(R)),NonNegativeInteger)->%`dVectorSpaceBasis(R)``368650
ocomplement`1`n`(%)->%`dSubsetLattice(S,top)``368861
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`x`(%)->%`cFiniteSetAggregate(S)`has(S,Finite)`368886
ocomplement`2`n`(%,List(S))->%`dSubsetLattice(S,top)``369017
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(%))->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``369042
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)``369180
ocompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`369472
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``369683
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``370076
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``370349
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``370559
ocompleteReflexivity`1`n`(%)->%`cPoset(S)``370728
ocompleteReflexivity`1`n`(A)->A`xPoset&(A,S)``0
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``370910
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``371107
ocompleteTransitivity`1`n`(%)->%`cPoset(S)``371322
ocompleteTransitivity`1`n`(A)->A`xPoset&(A,S)``0
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`n`(JetDifferentialEquation(JB,D))->Void`pCartanKuranishi(JB,D)``371520
ocomplete`1`x`(%)->%`cLazyStreamAggregate(S)``371698
ocomplete`1`x`(%)->%`cPAdicIntegerCategory(p)``371845
ocomplete`1`x`(%)->%`cPowerSeriesCategory(Coef,Expon,Var)``371909
ocomplete`1`x`(%)->%`dContinuedFraction(R)``372058
ocomplete`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``372311
ocompletelyOrderedSet`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``372550
ocomplex?`1`n`(%)->Boolean`dFortranScalarType``372592
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``372684
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``372919
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``373264
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``373411
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``373558
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``373744
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``373930
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``374026
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``374122
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``374186
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``374250
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`374375
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``374500
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``374597
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``374724
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``374851
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``374967
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``375083
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``375223
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`375363
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`375490
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`375617
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`375744
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`375871
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`375996
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`376123
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`376285
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`376447
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`376609
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`376741
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`376903
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`377065
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`377142
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`377219
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`377296
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`377373
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`377450
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`377527
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``377604
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`377681
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`377793
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`377905
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`378017
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`378129
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`378210
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`378322
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``378434
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``378546
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``378730
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``379042
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``379276
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``379492
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``379721
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``379939
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``380138
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``380273
ocomplex_curve`1`x`(VT)->%`dParametricComplexCurve(VT)``0
ocomplex_roots`1`n`(SparseUnivariatePolynomial(F))->Union(Record(reals:List(F),complexes:List(Record(real:F,imag:F))),"failed")`pRootUtilities(R,F)``380480
ocomplex`2`x`(R,R)->%`cComplexCategory(R)``380630
ocomponent`2`n`(%,Point(DoubleFloat))->Void`dGraphImage``380689
ocomponent`5`n`(%,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``381026
ocomponent`5`n`(%,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``381524
ocomponents`1`x`(%)->List(%)`cThreeSpaceCategory(R)``381875
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``382116
ocomposite`1`x`(List(%))->%`cThreeSpaceCategory(R)``382213
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`(%,%)->Union(%,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`382421
ocomposite`2`x`(Fraction(%),%)->Union(Fraction(%),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`382530
ocomposites`1`x`(%)->List(%)`cThreeSpaceCategory(R)``382656
ocompound`2`n`(%,%)->%`dSTransform(PT)``383005
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``383063
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``383301
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``383486
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``383655
oconcat!`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat!`1`n`(List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat!`1`x`(List(%))->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`384065
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(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`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`384371
oconcat!`2`x`(%,%)->%`cExtensibleLinearAggregate(S)``384509
oconcat!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`384616
oconcat!`2`x`(%,S)->%`cExtensibleLinearAggregate(S)``384706
oconcat!`2`x`(%,S)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`384796
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)``384936
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``385253
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`(%,%)->%`cLinearAggregate(S)``385392
oconcat`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)``385651
oconcat`2`x`(%,S)->%`cLinearAggregate(S)``385820
oconcat`2`x`(S,%)->%`cLinearAggregate(S)``385982
oconcat`2`x`(S,%)->%`cUnaryRecursiveAggregate(S)``386144
ocond`2`n`(Switch,%)->%`dFortranCode``386334
ocond`3`n`(Switch,%,%)->%`dFortranCode``386441
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)`386567
ocondition`1`n`(%)->C`dSplittingNode(V,C)``386836
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`386907
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``387083
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``387260
oconditionsForIdempotents`1`n`(Vector(%))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`387437
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`x`(Vector(%))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``387654
oconditions`1`n`(%)->List(C)`dSplittingTree(V,C)``387872
ocone`2`n`(%,NonNegativeInteger)->%`dFiniteSimplicialComplex(VS)``387954
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``388179
oconj`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``388517
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`388681
oconjugate`1`n`(%)->%`dPartition``388736
oconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``388819
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`x`(%)->%`cComplexCategory(R)``388904
oconjugate`1`x`(%)->%`cOctonionCategory(R)``388979
oconjugate`1`x`(%)->%`cQuaternionCategory(R)``389137
oconjugate`1`x`(%)->%`cSpecialFunctionCategory``389216
oconjugate`1`x`(List(Integer))->List(Integer)`pPartitionsAndPermutations``389278
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(%,%)->%`cGroup``389351
oconjugates`1`x`(Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``389454
oconnect`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``389562
oconsRow!`2`n`(%,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``389846
ocons`2`n`(R,%)->%`cSequenceCategory(R)``389937
ocons`2`x`(S,%)->%`dList(S)``390005
ocons`2`x`(S,%)->%`dStream(S)``390176
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``390330
oconst?`1`n`(%)->Boolean`cJetBundleFunctionCategory(JB)``390371
oconst?`1`n`(S)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``390445
oconst`1`n`(%)->R`dDistributedJetBundlePolynomial(R,JB,LJV,E)``390685
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``390818
oconstant?`1`n`(%)->Boolean`dPattern(R)``390922
oconstant?`1`n`(%)->Boolean`dXPolynomialRing(R,E)``390999
oconstant?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``391097
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``391169
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``391625
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``391670
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``391716
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``391819
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``391965
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``392080
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``392184
oconstant_subspace`2`n`(List(Vector(F)),List((F)->F))->Record(transform:Matrix(F),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``392410
oconstant`1`n`(%)->R`dXPolynomialRing(R,E)``392799
oconstant`1`x`(%)->R`cXFreeAlgebra(vl,R)``392863
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``392928
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``393021
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``393185
oconstructOrdered`1`n`(List(Record(k:S,c:A)))->%`cIndexedProductCategory(A,S)`has(S,Comparable)`393313
oconstruct`1`n`(List(List(List(R))))->%`dThreeDimensionalMatrix(R)``393735
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(k:S,c:A)))->%`cIndexedProductCategory(A,S)``393834
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->%`dPatternMatchResult(R,S)``393991
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(%)`dSplittingNode(V,C)``394150
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)``394252
oconstruct`1`n`(SplittingNode(V,C))->%`dSplittingTree(V,C)``394337
oconstruct`1`x`(%)->Stream(S)`dInfiniteTuple(S)``394637
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->%`dFullPartialFractionExpansion(F,UP)``394704
oconstruct`1`x`(List(S))->%`cCollection(S)``394759
oconstruct`2`n`(%,LyndonWord(VarSet))->%`dLiePolynomial(VarSet,R)``395020
oconstruct`2`n`(A,B)->%`dProduct(A,B)``395093
oconstruct`2`n`(IS,E)->%`dModuleMonomial(IS,E,ff)``395188
oconstruct`2`n`(LyndonWord(VarSet),%)->%`dLiePolynomial(VarSet,R)``395234
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->%`dLiePolynomial(VarSet,R)``395307
oconstruct`2`n`(OutputForm,List(OutputForm))->OutputForm`pOutputFormTools``395380
oconstruct`2`n`(S1,S2)->%`dSuchThat(S1,S2)``395474
oconstruct`2`n`(V,C)->%`dSplittingNode(V,C)``395538
oconstruct`2`n`(V,List(C))->List(%)`dSplittingNode(V,C)``395624
oconstruct`2`x`(%,%)->%`cLieAlgebra(R)``395716
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->%`dFortranType``395798
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->%`dFortranType``395870
oconstruct`3`n`(V,C,Boolean)->%`dSplittingNode(V,C)``395942
oconstruct`3`n`(V,C,List(%))->%`dSplittingTree(V,C)``396066
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->%`dSplittingTree(V,C)``396237
oconstruct`4`n`(V,C,V,List(C))->%`dSplittingTree(V,C)``396433
oconstruct`4`x`(Sequence(R),Sequence(R),Sequence(R),Sequence(R))->%`dDistribution(R)``396646
ocontains?`2`x`(%,R)->Boolean`cIntervalCategory(R)``396943
ocontainsPoint?`2`n`(%,PT)->Boolean`dSBoundary(PT)``397076
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``397231
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)`397317
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)`397407
ocontinue`1`n`(SingleInteger)->%`dFortranCode``397705
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)``397801
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``397913
ocontinuedFraction`1`x`(Fraction(R))->%`dContinuedFraction(R)``398025
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->%`dContinuedFraction(R)``398173
ocontraAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``398417
ocontraAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``398533
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``398649
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``398923
ocontract`2`n`(JetVectorField(JB,D),%)->D`dJetDifferential(JB,D)``399221
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)``399325
ocontract`3`x`(%,Integer,Integer)->%`dCartesianTensor(minix,dim,R)``399427
ocontract`4`x`(%,Integer,%,Integer)->%`dCartesianTensor(minix,dim,R)``399788
ocontrolPanel`2`n`(%,String)->Void`dTwoDimensionalViewport``400259
ocontrolPanel`2`x`(%,String)->Void`dThreeDimensionalViewport``400502
oconvergents`1`x`(%)->Stream(Fraction(R))`dContinuedFraction(R)``400749
oconvert`1`n`(%)->JetBundlePolynomial(R,JB)`dDistributedJetBundlePolynomial(R,JB,LJV,E)``400933
oconvert`1`n`(%)->Symbol`dSingletonAsOrderedSet``0
oconvert`1`n`(%)->Vector(R)`cFramedModule(R)``401067
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)``401177
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(JetBundlePolynomial(R,JB))->%`dDistributedJetBundlePolynomial(R,JB,LJV,E)``401258
oconvert`1`n`(LinearOrdinaryDifferentialOperator1(R))->LinearOrdinaryDifferentialOperator3(Coeff,Ab,R)`pLODOConvertions(Coeff,Ab,R)``401392
oconvert`1`n`(LinearOrdinaryDifferentialOperator3(Coeff,Ab,R))->LinearOrdinaryDifferentialOperator1(R)`pLODOConvertions(Coeff,Ab,R)``401675
oconvert`1`n`(List(%))->%`dPattern(R)``401958
oconvert`1`n`(List(P))->%`dGeneralPolynomialSet(R,E,VarSet,P)``402045
oconvert`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->%`cConvertibleFrom(S)``402146
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`(SExpression)->%`dInputForm``402204
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))->%`cFramedModule(R)``402264
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedModule&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xOctonionCategory&(S,R)``0
oconvert`1`x`(%)->S`cConvertibleTo(S)``402415
oconvert`1`x`(DoubleFloat)->%`dFloat``402482
oconvert`1`x`(Factored(%))->%`cFunctionSpace(R)`has(R,IntegralDomain)`402573
oconvert`1`x`(Flt)->%`cSExpressionCategory(Str,Sym,Int,Flt)``402749
oconvert`1`x`(Int)->%`cSExpressionCategory(Str,Sym,Int,Flt)``402806
oconvert`1`x`(List(%))->%`cSExpressionCategory(Str,Sym,Int,Flt)``402863
oconvert`1`x`(List(R))->%`cPointCategory(R)``402962
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``403088
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``403132
oconvert`1`x`(Polynomial(Fraction(Integer)))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`403176
oconvert`1`x`(Polynomial(Integer))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`403240
oconvert`1`x`(Polynomial(R))->%`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`403304
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``403368
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)``403412
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``403470
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``403514
oconvert`1`x`(SquareMatrix(n,R))->%`dLieSquareMatrix(n,R)``403574
oconvert`1`x`(Str)->%`cSExpressionCategory(Str,Sym,Int,Flt)``403626
oconvert`1`x`(Sym)->%`cSExpressionCategory(Str,Sym,Int,Flt)``403683
oconvert`1`x`(Symbol)->%`dRomanNumeral``403740
oconvert`1`x`(UP)->%`cMonogenicAlgebra(R,UP)``403810
oconvert`2`n`(List(S),List(FreeGroup(S)))->GroupPresentation`pGroupPresentationFunctions1(S)``403964
oconvert`2`n`(OutputForm,Integer)->%`cOutputFormatterCategory``404089
oconvert`2`n`(OutputForm,Integer)->%`dTexFormat``404218
oconvert`3`n`(OutputForm,Integer,OutputForm)->%`dTexFormat``404484
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->%`dDrawOption``404781
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``404913
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``404947
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``405152
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``405368
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``405589
ocoordinatesIfCan`2`n`(Vector(R),%)->Union(Vector(R),"failed")`dVectorSpaceBasis(R)``405806
ocoordinates`1`n`(%)->Vector(R)`cFramedModule(R)``405966
ocoordinates`1`n`(S)->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedModule&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xOctonionCategory&(S,R)``0
ocoordinates`1`n`(Vector(%))->Matrix(R)`cFramedModule(R)``406080
ocoordinates`1`n`(Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedModule&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xOctonionCategory&(S,R)``0
ocoordinates`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->%`dDrawOption``406306
ocoordinates`2`n`(S,Vector(S))->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`n`(Vector(R),%)->Vector(R)`dVectorSpaceBasis(R)``406457
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`x`(%,Vector(%))->Vector(R)`cFiniteRankAlgebra(R,UP)``406606
ocoordinates`2`x`(%,Vector(%))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``406720
ocoordinates`2`x`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``406879
ocoordinates`2`x`(Vector(%),Vector(%))->Matrix(R)`cFiniteRankAlgebra(R,UP)``407038
ocoordinates`2`x`(Vector(%),Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``407280
ocopies`2`x`(Integer,String)->String`pDisplayPackage``407507
ocoproduct`1`x`(%)->MxM`cCoalgebra(R,MxM)``407629
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``407702
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))`407848
ocopy_first`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``407972
ocopy_mat_part`2`n`(MMT,Integer)->MMT`cModularFactorizationOperations(PA,MMT,MD,PMD)``408100
ocopy_poly`3`n`(PA,Integer,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``408221
ocopy_slice`4`n`(U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``408427
ocopy`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``408604
ocopy`1`n`(%)->%`dJetDifferential(JB,D)``408664
ocopy`1`n`(%)->%`dJetDifferentialEquation(JB,D)``408733
ocopy`1`n`(%)->%`dJetVectorField(JB,D)``408798
ocopy`1`n`(%)->%`dLinearMultivariateMatrixPencil(R)``408865
ocopy`1`n`(%)->%`dPattern(R)``408933
ocopy`1`n`(%)->%`dSparseEchelonMatrix(C,D)``408993
ocopy`1`n`(%)->%`dSplittingNode(V,C)``409054
ocopy`1`n`(%)->%`dSubSpaceComponentProperty``409104
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`x`(%)->%`cAggregate``409140
ocopy`1`x`(%)->%`cIntegerNumberSystem``409274
ocopy`1`x`(%)->%`cThreeSpaceCategory(R)``409322
ocopy`1`x`(%)->%`dBasicOperator``409415
ocopy`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``409467
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)``409552
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``410006
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``410104
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``410191
ocos`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``410441
ocos`1`n`(E)->%`dFourierComponent(E)``410508
ocos`1`n`(F)->F`pElementaryFunction(R,F)``410574
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)``410635
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``410702
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``410769
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``410837
ocos`1`x`(%)->%`cTrigonometricFunctionCategory``410907
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``410960
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``411062
ocosh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``411151
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``411220
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)``411293
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``411376
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``411459
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``411539
ocosh`1`x`(%)->%`cHyperbolicFunctionCategory``411621
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``411686
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``411784
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``411888
ocot`1`n`(F)->F`pElementaryFunction(R,F)``411975
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)``412039
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``412109
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``412179
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``412250
ocot`1`x`(%)->%`cTrigonometricFunctionCategory``412323
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``412379
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``412481
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``412590
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``412679
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)``412755
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``412841
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``412927
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``413010
ocoth`1`x`(%)->%`cHyperbolicFunctionCategory``413095
ocounit`1`x`(%)->R`cCoalgebra(R,MxM)``413163
ocountRealRootsMultiple`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`413231
ocountRealRoots`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)``413338
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)`413408
ocount`2`x`(S,%)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`413609
ocountable?`1`x`(%)->Boolean`dCardinalNumber``413780
ocoverMatrix`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``413918
ocoverMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ocreate3Space`0`x`()->%`cThreeSpaceCategory(R)``414313
ocreate3Space`1`x`(SubSpace(3,R))->%`cThreeSpaceCategory(R)``414455
ocreateArrows2Din2D`4`n`((PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``414597
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``414831
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``415031
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``415192
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``415535
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``415743
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``415863
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`416156
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``416427
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``416561
ocreatePlot1Din2D`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``416784
ocreatePlot1Din2D`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``417021
ocreatePlot1Din2Dparametric`3`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``417259
ocreatePlot1Din3Dparametric`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``417858
ocreatePlot1Din3Dparametric`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``418274
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``418868
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``419294
ocreatePlot2Din3Dparametric`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``419498
ocreatePlot2Din3Dparametric`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``419957
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->%`cFiniteFieldCategory``420536
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``420647
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``420797
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``420937
ocreateSceneArrow`5`n`(String,String,PT,Symbol,DoubleFloat)->%`dScene(PT)``421049
ocreateSceneArrow`6`n`(%,%,PT,Symbol,DoubleFloat,DoubleFloat)->%`dScene(PT)``422008
ocreateSceneArrows`3`n`(List(List(PT)),Symbol,DoubleFloat)->%`dScene(PT)``423333
ocreateSceneBox`1`n`(DoubleFloat)->%`dScene(PT)``424261
ocreateSceneClip`1`n`(SBoundary(PT))->%`dScene(PT)``424373
ocreateSceneDef`2`n`(String,%)->%`dScene(PT)``424505
ocreateSceneGraph`4`n`(DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->%`dScene(PT)``424614
ocreateSceneGrid`1`n`(SBoundary(PT))->%`dScene(PT)``424706
ocreateSceneGrid`2`n`(DoubleFloat,SBoundary(PT))->%`dScene(PT)``424859
ocreateSceneGroup`0`n`()->%`dScene(PT)``425040
ocreateSceneIFS`1`n`(SceneIFS(PT))->%`dScene(PT)``425163
ocreateSceneIFS`2`n`(List(List(NonNegativeInteger)),List(PT))->%`dScene(PT)``425323
ocreateSceneLine`1`n`(List(PT))->%`dScene(PT)``425490
ocreateSceneLine`3`n`(%,%,DoubleFloat)->%`dScene(PT)``425754
ocreateSceneLine`4`n`(%,%,DoubleFloat,Boolean)->%`dScene(PT)``426378
ocreateSceneLines`1`n`(List(List(PT)))->%`dScene(PT)``427126
ocreateSceneMaterial`1`n`(Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->%`dScene(PT)``427383
ocreateSceneMaterial`3`n`(DoubleFloat,String,String)->%`dScene(PT)``427758
ocreateSceneNamedPoints`1`n`(SceneNamedPoints(PT))->%`dScene(PT)``428087
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,SBoundary(PT))->%`dScene(PT)``428255
ocreateSceneRoot`0`n`()->%`dScene(PT)``428788
ocreateSceneRoot`1`n`(SBoundary(PT))->%`dScene(PT)``428914
ocreateSceneRoot`4`n`(Integer,Integer,Integer,Integer)->%`dScene(PT)``429042
ocreateSceneRuler`3`n`(Symbol,PT,SBoundary(PT))->%`dScene(PT)``429196
ocreateSceneShape`1`n`(Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->%`dScene(PT)``429447
ocreateSceneShape`1`n`(SBoundary(PT))->%`dScene(PT)``429583
ocreateSceneText`1`n`(Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->%`dScene(PT)``429735
ocreateSceneText`3`n`(List(String),NonNegativeInteger,PT)->%`dScene(PT)``429885
ocreateSceneText`3`n`(String,NonNegativeInteger,PT)->%`dScene(PT)``429997
ocreateSceneTransform`1`n`(STransform(PT))->%`dScene(PT)``430144
ocreateSceneUse`1`n`(String)->%`dScene(PT)``430376
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``430448
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``430607
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``430733
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``430859
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``430998
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``431137
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``431276
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``431415
ocreate`0`n`()->%`dSingletonAsOrderedSet``431839
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``431901
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``431937
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)``431971
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)``432008
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``432047
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)``432081
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``432119
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)``432153
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``432192
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(%,%)->%`cPointCategory(R)``432415
ocross`2`x`(%,%)->%`cVectorCategory(R)`has(R,Ring)`432568
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``432704
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``432913
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``433011
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``433105
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)``433168
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``433237
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``433306
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``433376
ocsc`1`x`(%)->%`cTrigonometricFunctionCategory``433448
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``433503
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``433605
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``433694
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)``433769
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``433854
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``433939
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``434021
ocsch`1`x`(%)->%`cHyperbolicFunctionCategory``434105
ocsolve_pol`2`n`((Matrix(F))->List(Vector(Q)),List(UP))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``434172
ocsolve_rf`2`n`((Matrix(F))->List(Vector(Q)),List(Fraction(UP)))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``434281
ocsolve_rmat`2`n`((Matrix(F))->List(Vector(Q)),Matrix(Fraction(UP)))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``434397
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``434515
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``434569
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``434606
ocubicalComplex`1`n`(List(VS))->%`dFiniteCubicalComplex(VS)``434658
ocubicalComplex`2`n`(List(VS),List(CubicalFacet))->%`dFiniteCubicalComplex(VS)``434697
ocubicalComplex`2`n`(List(VS),List(List(List(Integer))))->%`dFiniteCubicalComplex(VS)``434745
ocubicalComplex`2`n`(List(VS),List(List(Segment(Integer))))->%`dFiniteCubicalComplex(VS)``434793
ocubicalFacet`2`n`(Integer,CubicalFacet)->%`dCubicalFacet``434841
ocubicalFacet`2`n`(Integer,List(List(Integer)))->%`dCubicalFacet``434886
ocubicalFacet`2`n`(Integer,List(Segment(Integer)))->%`dCubicalFacet``434923
ocumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``435104
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``435222
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``435416
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``435509
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``435614
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``435720
ocurve?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``435815
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``436040
ocurveColor`1`x`(Float)->%`dDrawOption``436269
ocurveColor`1`x`(Palette)->%`dDrawOption``436412
ocurveLoops`3`n`(List(PT),DoubleFloat,Integer)->List(List(PT))`dSceneIFS(PT)``436582
ocurve`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``436669
ocurve`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``436908
ocurve`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``437110
ocurve`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``437480
ocurve`2`x`(ComponentFunction,ComponentFunction)->%`dParametricPlaneCurve(ComponentFunction)``437657
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->%`dParametricSpaceCurve(ComponentFunction)``437761
ocycleClosed`2`n`(List(S),String)->%`cFiniteGraph(S)``437887
ocycleClosed`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``438130
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(%)->%`cUnaryRecursiveAggregate(S)``438277
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(%)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``438412
ocycleOpen`2`n`(List(S),String)->%`cFiniteGraph(S)``438552
ocycleOpen`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocyclePartition`1`x`(%)->Partition`dPermutation(S)``438904
ocycleRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``439047
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`439281
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(%)->%`cUnaryRecursiveAggregate(S)``439662
ocycle`1`x`(List(S))->%`cPermutationCategory(S)``439754
ocycles`1`x`(List(List(S)))->%`cPermutationCategory(S)``439981
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)``440311
ocyclicGroup`1`n`(PositiveInteger)->%`dGroupPresentation``440367
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``440487
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``440676
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`440796
ocyclic`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``441427
ocyclotomic?`1`n`(SparseUnivariatePolynomial(Integer))->Union(Integer,"failed")`pCyclotomicUtilities``441523
ocyclotomic_array`1`n`(Integer)->PrimitiveArray(Integer)`pCyclotomicUtilities``441687
ocyclotomic_case?`1`x`(SparseUnivariatePolynomial(Polynomial(R)))->Union(Integer,"failed")`pRadicalSolvePackage(R)``441957
ocyclotomic_decomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicUtilities``442023
ocyclotomic_roots`1`n`(PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``442135
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicUtilities``442229
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``442301
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``442504
ocylindricalDecomposition`1`n`(List(Polynomial(TheField)))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``442604
ocylindricalDecomposition`2`n`(List(Polynomial(TheField)),List(Symbol))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``442750
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``442890
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``443127
odP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`dJetDifferential(JB,D)``443556
odSubst`3`n`(%,JB,%)->%`cJetBundleFunctionCategory(JB)``443629
odSubst`3`n`(S,JB,S)->S`xJetBundleFunctionCategory&(S,JB)``0
odU`1`n`(PositiveInteger)->%`dJetDifferential(JB,D)``443801
odX`1`n`(PositiveInteger)->%`dJetDifferential(JB,D)``443862
od`1`n`(D)->%`dJetDifferential(JB,D)``443923
od`1`n`(JB)->%`dJetDifferential(JB,D)``443981
odanilewski`1`n`(Matrix(F))->Record(matrix:Matrix(F),block_list:List(Integer))`pCharacteristicPolynomial2(F)``444040
odark`1`x`(Color)->%`dPalette``444177
odatalist`1`x`(List(S))->%`dDataList(S)``444276
oddfact`2`n`(PA,MD)->List(Record(poly:PA,degree:NonNegativeInteger,separate_factors:()->List(PA)))`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``444335
oddfact`2`n`(PrimitiveArray(K),Record(i_mod:Integer,deg:Integer))->List(Record(poly:PrimitiveArray(K),degree:NonNegativeInteger,separate_factors:()->List(PrimitiveArray(K))))`pModularFactorizationK(K)``0
oddfact`2`n`(U32Vector,Integer)->List(Record(poly:U32Vector,degree:NonNegativeInteger,separate_factors:()->List(U32Vector)))`pModularFactorization``0
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``444509
odebug`1`n`(Boolean)->Boolean`dPlot``444602
odebug`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``444689
odebug`1`x`(Boolean)->%`dGuessOption``444797
odec`1`x`(%)->%`cIntegerNumberSystem``444937
odecimal`1`x`(Fraction(Integer))->%`dDecimalExpansion``444980
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``445056
odeclare!`3`n`(List(Symbol),FortranType,%)->FortranType`dSymbolTable``445183
odeclare!`3`n`(Symbol,FortranType,%)->FortranType`dSymbolTable``445300
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``445410
odeclare!`4`n`(List(Symbol),FortranType,Symbol,%)->FortranType`dTheSymbolTable``445510
odeclare!`4`n`(Symbol,FortranType,Symbol,%)->FortranType`dTheSymbolTable``445656
odeclare`1`n`(List(%))->Symbol`dInputForm``445801
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``446150
odecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`446389
odecompose`1`x`(%)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``446520
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``446604
odecompose`2`n`(UP,List(UP))->List(UP)`pPartialFractionUtilities(F,UP)``446964
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)`447172
odeductions`1`n`(List(%))->List(%)`dILogic``447312
odeductions`1`n`(List(%))->List(%)`dLatticeJoinOfMeets``447698
odeductions`1`n`(List(%))->List(%)`dLatticeMeetOfJoins``448084
odeepCopy`1`n`(%)->%`dSubSpace(n,R)``448470
odeepDiagramSvg`3`n`(String,%,Boolean)->Void`cFiniteGraph(S)``0
odeepDiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odeepExpand`1`x`(%)->OutputForm`dFreeNilpotentLie(n,class,R)``448510
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``448599
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``448746
odefaultEpilogue`1`n`(String)->OutputBox`cFormatterCategory``448985
odefaultPrologue`1`n`(String)->OutputBox`cFormatterCategory``449077
odefineProperty`3`n`(%,List(NonNegativeInteger),SubSpaceComponentProperty)->%`dSubSpace(n,R)``449175
odefiningEquations`1`n`(%)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``449650
odefiningInequation`1`n`(%)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``449793
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``449934
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``450028
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`450130
odefiningPolynomial`1`x`(%)->%`cExpressionSpace`has(%,Ring)`450273
odefiningPolynomial`1`x`(%)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``450367
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``450479
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``450644
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``450927
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``451096
odegree`1`n`(%)->Expon`cSolvableSkewPolynomialCategory(R,Expon)``451186
odegree`1`n`(%)->Integer`dLaurentPolynomial(R,UP)``451273
odegree`1`n`(%)->NonNegativeInteger`dAntiSymm(R,lVar)``451311
odegree`1`n`(%)->NonNegativeInteger`dDeRhamComplex(CoefRing,listIndVar)``451379
odegree`1`n`(%)->NonNegativeInteger`dExtAlgBasis``451467
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(MPT)->Integer`cModularAlgebraicGcdOperations(MP,MPT,MD)``451636
odegree`1`n`(PA)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``451686
odegree`1`n`(PrimitiveArray(K))->Integer`pVectorPolynomialOperationsF(K)``451757
odegree`1`n`(PrimitiveArray(PrimeField(p)))->Integer`pVectorPolynomialOperationsP(p)``451825
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``451893
odegree`1`x`(%)->E`cAbelianMonoidRing(R,E)``451961
odegree`1`x`(%)->E`cGradedModule(R,E)``452048
odegree`1`x`(%)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``452169
odegree`1`x`(%)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``452252
odegree`1`x`(%)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``452393
odegree`1`x`(%)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``452520
odegree`1`x`(%)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``452610
odegree`1`x`(%)->NonNegativeInteger`cXPolynomialsCat(vl,R)``452700
odegree`1`x`(%)->NonNegativeInteger`dPermutation(S)``452816
odegree`1`x`(%)->NonNegativeInteger`dPermutationGroup(S)``452904
odegree`1`x`(%)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``453007
odegree`1`x`(%)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``453196
odegree`2`n`(%,List(VarSet))->List(NonNegativeInteger)`cMaybeSkewPolynomialCategory(R,E,VarSet)``453320
odegree`2`n`(%,Symbol)->NonNegativeInteger`dFakePolynomial``0
odegree`2`n`(%,VarSet)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``453460
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)``453568
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)``453651
odegree`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``453759
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)``453941
odelay`1`x`(()->%)->%`dStream(S)``454391
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)``454544
odelete!`2`x`(%,UniversalSegment(Integer))->%`cExtensibleLinearAggregate(S)``454632
odeleteProperty!`2`x`(%,Symbol)->%`dBasicOperator``454741
odeleteRow!`2`n`(%,Integer)->Void`dSparseEchelonMatrix(C,D)``454905
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)``454996
odelete`2`x`(%,UniversalSegment(Integer))->%`cLinearAggregate(S)``455164
odeltaComplex`1`n`(FiniteCubicalComplex(VS))->%`dDeltaComplex(VS)``455353
odeltaComplex`1`n`(FiniteSimplicialComplex(VS))->%`dDeltaComplex(VS)``455448
odeltaComplex`2`n`(FiniteSimplicialComplex(VS),Boolean)->%`dDeltaComplex(VS)``0
odeltaComplex`3`n`(List(VS),NonNegativeInteger,List(List(List(Integer))))->%`dDeltaComplex(VS)``455548
odelta_deriv`1`n`(R)->R`pLinearOrdinaryDifferentialOperator3Aux(Coeff,A,R)``455600
odelta`0`n`()->Symbol`pMathematicalSymbols``455669
odelta`3`n`(%,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``455736
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``455891
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``456121
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``456325
odenom`1`n`(%)->R`dFractionalIdeal(R,F,UP,A)``456649
odenom`1`n`(%)->R`dLocalAlgebra(A,R)``456712
odenom`1`n`(%)->R`dLocalize(M,R)``456771
odenom`1`x`(%)->S`cQuotientFieldCategory(S)``456830
odenom`1`x`(%)->SparseMultivariatePolynomial(Integer,Kernel(%))`dAlgebraicNumber``456903
odenom`1`x`(%)->SparseMultivariatePolynomial(R,Kernel(%))`cFunctionSpace(R)`has(R,IntegralDomain)`457015
odenominator`1`n`(%)->%`cJetBundleFunctionCategory(JB)``457127
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`x`(%)->%`cFunctionSpace(R)`has(R,IntegralDomain)`457192
odenominator`1`x`(%)->%`cQuotientFieldCategory(S)``457274
odenominators`1`x`(%)->Stream(R)`dContinuedFraction(R)``457364
odepth`1`n`(%)->NonNegativeInteger`dOutputBox``457566
odepth`1`n`(%)->NonNegativeInteger`dPattern(R)``457648
odequeue!`1`x`(%)->S`cQueueAggregate(S)``457710
odequeue`1`x`(List(S))->%`dDequeue(S)``457903
oderef`1`n`(%)->S`dReference(S)``458089
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``458144
oderiv`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``458340
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)`458423
oderivativeOf?`2`n`(%,%)->List(NonNegativeInteger)`cJetBundleCategory``458511
oderivativeOf?`2`n`(S,S)->List(NonNegativeInteger)`xJetBundleCategory&(S)``0
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``458715
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``458841
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``459093
odestruct`1`n`(%)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``459433
odestruct`1`x`(%)->List(%)`cSExpressionCategory(Str,Sym,Int,Flt)``459552
odetSysNS`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``459637
odetSysNS`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``459795
odetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``459953
odetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``460136
odetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``460364
odet_via_common_denominator`1`n`(Matrix(Fraction(R)))->Fraction(R)`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`460608
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`460686
odeterminant`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`460821
odeterminant`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`460934
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``461011
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``461146
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)``461241
odiagonal?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``461435
odiagonal?`2`n`(%,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``461629
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)`461694
odiagonalMatrix`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)``461835
odiagonalMatrix`1`x`(List(R))->%`cMatrixCategory(R,Row,Col)``462386
odiagonalMatrix`1`x`(List(R))->%`cSquareMatrixCategory(ndim,R,Row,Col)``462491
odiagonalMatrix`1`x`(Vector(R))->%`dMatrix(R)``462596
odiagonalMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`462709
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``462935
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)``463043
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(%)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``463152
odiagonal`2`n`(%,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``463259
odiagonals`2`x`(%,String)->Void`dThreeDimensionalViewport``463340
odiagramHeight`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``463684
odiagramHeight`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramSvg2`3`n`(String,%,Boolean)->Void`dUndirectedGraph(S)``463846
odiagramSvg`3`n`(String,%,Boolean)->Void`cFiniteGraph(S)``464187
odiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramWidth`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``464466
odiagramWidth`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramsSvg`3`n`(String,List(%),Boolean)->Void`cFiniteGraph(S)``464626
odiagramsSvg`3`n`(String,List(A),Boolean)->Void`xFiniteGraph&(A,S)``0
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->%`cDictionaryOperations(S)``464890
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)``464973
odiffHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
odiffHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(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)``465090
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
odiffHP`1`x`(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)))`465205
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
odiffP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`dJetVectorField(JB,D)``465329
odiffU`1`n`(PositiveInteger)->%`dJetVectorField(JB,D)``465420
odiffX`1`n`(PositiveInteger)->%`dJetVectorField(JB,D)``465499
odiff_map`1`n`(Var)->(R)->R`pPartialDifferentialOperatorHelper(R,Var)``0
odiff`1`n`(JB)->%`dJetVectorField(JB,D)``465578
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``465655
odifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xSetAggregate&(A,S)``0
odifference`2`x`(%,%)->%`cSetAggregate(S)``465726
odifference`2`x`(%,S)->%`cSetAggregate(S)``466091
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(%)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``466323
odifferentials`1`n`(%)->List(JB)`dJetDifferential(JB,D)``466457
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``466559
odifferentiate`1`x`(%)->%`cDifferentialVariableCategory(S)``466715
odifferentiate`1`x`(%)->%`dFullPartialFractionExpansion(F,UP)``466782
odifferentiate`2`n`(%,(F)->F)->F`dIntegrationResult(F)``466849
odifferentiate`2`n`(%,JB)->%`cJetBundleFunctionCategory(JB)``466952
odifferentiate`2`n`(%,NonNegativeInteger)->%`dOutputForm``467065
odifferentiate`2`n`(%,PositiveInteger)->Union(%,"0")`cJetBundleCategory``467249
odifferentiate`2`n`(%,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`467367
odifferentiate`2`n`(%,Variable('x))->%`dUnivariateFormalPowerSeries(Coef)``0
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariateLaurentSeries(Coef,var,cen)``467454
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``467557
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``467660
odifferentiate`2`n`(%,Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)``467764
odifferentiate`2`n`(%,Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)``467867
odifferentiate`2`n`(%,Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)``467970
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``468074
odifferentiate`2`x`(%,(R)->R)->%`cDifferentialExtension(R)``468109
odifferentiate`2`x`(%,(UP)->UP)->%`cFunctionFieldCategory(F,UP,UPUP)``468217
odifferentiate`2`x`(%,List(S))->%`cPartialDifferentialRing(S)``468327
odifferentiate`2`x`(%,NonNegativeInteger)->%`cDifferentialRing``468494
odifferentiate`2`x`(%,NonNegativeInteger)->%`cDifferentialVariableCategory(S)``468578
odifferentiate`2`x`(%,NonNegativeInteger)->%`dFullPartialFractionExpansion(F,UP)``468662
odifferentiate`2`x`(%,S)->%`cPartialDifferentialRing(S)``468746
odifferentiate`2`x`(%,Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``468852
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``468955
odifferentiate`3`x`(%,(R)->R,%)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`468990
odifferentiate`3`x`(%,(R)->R,NonNegativeInteger)->%`cDifferentialExtension(R)``469177
odifferentiate`3`x`(%,List(S),List(NonNegativeInteger))->%`cPartialDifferentialRing(S)``469319
odifferentiate`3`x`(%,S,NonNegativeInteger)->%`cPartialDifferentialRing(S)``469451
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)``469612
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``469755
odigamma`1`x`(%)->%`cSpecialFunctionCategory``469830
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``469953
odigamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``470075
odigamma`1`x`(Float)->Float`pFloatSpecialFunctions``470150
odigit?`1`x`(%)->Boolean`dCharacter``470225
odigit`0`x`()->%`dCharacterClass``470322
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``470438
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``470515
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``470592
odigits`1`x`(%)->Stream(Integer)`cPAdicIntegerCategory(p)``470689
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`470767
odihedralGroup`1`n`(PositiveInteger)->%`dGroupPresentation``470864
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``470978
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``471172
odihedral`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``471286
odilate`2`n`(R,%)->%`cSequenceCategory(R)``471386
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``471484
odilog`1`x`(%)->%`cLiouvillianFunctionCategory``471531
odilog`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``471655
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``471697
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``471794
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``471891
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``472003
odim`1`x`(Color)->%`dPalette``472115
odimensionOfIrreducibleRepresentation`1`x`(List(Integer))->NonNegativeInteger`pIrrRepSymNatPackage``472207
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``472435
odimension`1`n`(%)->NonNegativeInteger`dCell(TheField)``472493
odimension`1`n`(%)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``472550
odimension`1`n`(%)->PositiveInteger`cSPointCategory``472611
odimension`1`x`(%)->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``472713
odimension`1`x`(%)->PositiveInteger`cPointCategory(R)``472864
odimension`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``472945
odimension`2`x`(%,List(VarSet))->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``473159
odimension`3`n`(List(%),SparseEchelonMatrix(JB,%),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``473266
odimension`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
odimensionsOf`1`n`(%)->List(Polynomial(Integer))`dFortranType``473446
odimensions`5`n`(%,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``473511
odimensions`5`x`(%,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``473961
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``474415
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``474592
odiracDelta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``474723
odiracDelta`1`x`(%)->%`cSpecialFunctionCategory``474786
odirectProduct`1`x`(Vector(R))->%`cDirectProductCategory(dim,R)``474849
odirectProduct`2`n`(%,%)->%`dGroupPresentation``474986
odirectSum`2`x`(%,%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`475028
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``475225
odirectedGraph`1`n`(FinitePoset(S))->%`dDirectedGraph(S)``475462
odirectedGraph`1`n`(List(Permutation(S)))->%`dDirectedGraph(S)``475617
odirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->%`dDirectedGraph(S)``475712
odirectedGraph`1`n`(List(S))->%`dDirectedGraph(S)``475859
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)``476135
odirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dDirectedGraph(S)``476286
odirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dDirectedGraph(S)``476389
odirection`1`n`(String)->Integer`pToolsForSign(R)``476576
odirections`1`n`(%)->List(JB)`dJetVectorField(JB,D)``476617
odirectory`1`x`(%)->String`cFileNameCategory``476734
odisableAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``476806
odisableDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``476887
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(%)->NonNegativeInteger`cFiniteFieldCategory``476951
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(%,%)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``477080
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``477180
odiscriminantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``477295
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``477439
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``477498
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)``477557
odiscriminant`1`x`(%)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`477625
odiscriminant`1`x`(Vector(%))->R`cFiniteRankAlgebra(R,UP)``477708
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`477812
odispGenerators`1`n`(%)->OutputForm`dHomology``477937
odispStatement`1`n`(OutputForm)->Void`pFortranCodeTools``477981
odisplayKind`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``478013
odisplayKind`1`x`(Symbol)->%`dGuessOption``478207
odisplayLines`1`n`(List(String))->Void`pFortranCodeTools``478401
odisplay`1`n`(%)->Void`cOutputFormatterCategory``478431
odisplay`1`n`(%)->Void`dJetDifferentialEquation(JB,D)``478483
odisplay`1`n`(%)->Void`dTexFormat``478831
odisplay`1`n`(Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F)))->OutputForm`pXDistributedPolynomialFunctions(VAR,F)``479013
odisplay`1`n`(String)->Void`dHTMLFormat``479143
odisplay`1`n`(String)->Void`dMathMLFormat``479206
odisplay`1`n`(String)->Void`dTexmacsFormat``479277
odisplay`1`x`(%)->Union((List(OutputForm))->OutputForm,"failed")`dBasicOperator``479348
odisplay`1`x`(%)->Void`dDatabase(S)``479470
odisplay`1`x`(%)->Void`dIndexCard``479547
odisplay`2`n`(%,Integer)->Void`dTexFormat``479633
odisplay`2`n`(%,List(Symbol))->OutputForm`dFreeDivisionAlgebra(VAR,F)``479775
odisplay`2`n`(%,OutputForm)->OutputForm`dFreeDivisionAlgebra(VAR,F)``479897
odisplay`2`x`(%,(List(OutputForm))->OutputForm)->%`dBasicOperator``479977
odisplay`2`x`(%,(OutputForm)->OutputForm)->%`dBasicOperator``480206
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)``480443
odistanceMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``480964
odistanceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
odistanceSquared`2`n`(%,%)->DoubleFloat`cSPointCategory``481497
odistanceWeighted`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(W,"disjoint")`dWeightedGraph(S,W)``481761
odistance`2`n`(%,%)->DoubleFloat`cSPointCategory``481837
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`x`(%,%)->Integer`cRecursiveAggregate(S)``482130
odistance`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Integer`cFiniteGraph(S)``482230
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xFiniteGraph&(A,S)``0
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xPoset&(A,S)``0
odistinct_partition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``482434
odistinct_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``482762
odistinct_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``482880
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`x`(%)->%`cExpressionSpace``483119
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`x`(%,%)->%`cExpressionSpace``483302
odistributionByBooleanCumulants`1`x`(Sequence(R))->%`dDistribution(R)``483537
odistributionByBooleanCumulants`1`x`(Stream(R))->%`dDistribution(R)``483651
odistributionByClassicalCumulants`1`x`(Sequence(R))->%`dDistribution(R)``483765
odistributionByClassicalCumulants`1`x`(Stream(R))->%`dDistribution(R)``483876
odistributionByEvenMoments`1`x`(Sequence(R))->%`dDistribution(R)``483987
odistributionByEvenMoments`1`x`(Stream(R))->%`dDistribution(R)``484112
odistributionByFreeCumulants`1`x`(Sequence(R))->%`dDistribution(R)``484237
odistributionByFreeCumulants`1`x`(Stream(R))->%`dDistribution(R)``484345
odistributionByJacobiParameters`2`x`(Sequence(R),Sequence(R))->%`dDistribution(R)``484453
odistributionByJacobiParameters`2`x`(Stream(R),Stream(R))->%`dDistribution(R)``484581
odistributionByMoments`1`x`(Sequence(R))->%`dDistribution(R)``484709
odistributionByMoments`1`x`(Stream(R))->%`dDistribution(R)``484804
odistributionByMonotoneCumulants`1`x`(Sequence(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`484899
odistributionByMonotoneCumulants`1`x`(Stream(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`485015
odistributionBySTransform`1`x`(Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R)))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`485131
odistributionBySTransform`1`x`(UPSR)->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``485248
odistributionBySTransform`3`x`(Fraction(Integer),Fraction(Integer),Sequence(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`485349
odivergence`2`n`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``485466
odivide!`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``485623
odivide!`4`n`(U32Vector,U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``485810
odivideExponents`2`x`(%,NonNegativeInteger)->Union(%,"failed")`cUnivariatePolynomialCategory(R)``485838
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``486073
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``486415
odivide`2`n`(%,%)->Union(Record(lm:%,rm:%),"failed")`dFreeMonoid(S)``486557
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`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``486782
odivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cEuclideanDomain``486895
odivide`2`x`(%,%)->Record(quotient:%,remainder:%)`dNonNegativeInteger``487130
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``487216
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``487587
odivisor`1`n`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`1`n`(R)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->%`cFiniteDivisorCategory(F,UP,UPUP,R)``488024
odivisor`1`x`(R)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``488098
odivisor`2`n`(F,F)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`2`x`(F,F)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``488169
odivisor`3`n`(F,F,Integer)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`3`n`(R,UP,UP)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`3`x`(F,F,Integer)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``488284
odivisor`3`x`(R,UP,UP)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``488462
odivisor`5`n`(R,UP,UP,UP,F)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`5`x`(R,UP,UP,UP,F)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``488682
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``489004
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``489074
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``489134
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``489194
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``489254
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``489343
odoFactor`3`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer,Boolean)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``489429
odo_liou`2`n`(BasicOperator,List(Complex(F)))->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``489671
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)``489736
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)``490111
odo_with_error_env1`1`n`(()->List(String))->List(String)`pFortranCodeTools``490408
odo_with_error_env2`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``490444
odo_with_error_env3`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``490498
odom`1`x`(%)->SExpression`dAny``490552
odomainOf`1`x`(%)->OutputForm`dAny``490678
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)``490802
odot`1`n`(%)->%`dOutputForm``491201
odot`2`n`(%,NonNegativeInteger)->%`dOutputForm``491262
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``491343
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`x`(%,%)->R`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`491526
odot`2`x`(%,%)->R`cVectorCategory(R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`491617
odouble?`1`n`(%)->Boolean`dFortranScalarType``491772
odoubleComplex?`1`n`(%)->Boolean`dFortranScalarType``491871
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``491991
odoubleFloatFormat`1`x`(String)->String`dDoubleFloat``492033
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``492108
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``492276
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``492466
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``492552
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``492775
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``493504
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``494353
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``494590
odrawStyle`2`x`(%,String)->Void`dThreeDimensionalViewport``495012
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``495410
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``495496
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``495693
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``495779
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``495910
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``496060
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``496236
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``496379
odraw`2`x`(ParametricComplexCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``496558
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``496645
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``496821
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``497055
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``497253
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``497507
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``497731
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``497969
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``498179
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``498495
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``498766
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``499035
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``499203
odraw`3`x`(ParametricComplexCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``499439
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``499531
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``499800
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``500129
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``500415
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``500768
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``501068
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``501434
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``501741
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``502058
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``502261
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``502625
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``502870
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``503258
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``503723
odunceHat`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``503781
odunceHat`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``503830
oduplicates?`1`n`(%)->Boolean`dListMultiDictionary(S)``503884
oduplicates`1`x`(%)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``503965
oeFromBinaryMap`1`x`(NonNegativeInteger)->%`dCliffordAlgebra(n,K,bLin)``504052
oePseudoscalar`0`x`()->%`dCliffordAlgebra(n,K,bLin)``504255
oe`1`x`(PositiveInteger)->%`dCliffordAlgebra(n,K,bLin)``504280
oee`1`x`(List(PositiveInteger))->%`dCliffordAlgebra(n,K,bLin)``504437
oei_int`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX(R,F)``504478
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``504736
oeigenvalues`1`n`(Matrix(F))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`504881
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`504958
oeigenvalues`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``505035
oeigenvector`2`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``505265
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``505396
oeigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`505527
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)`505878
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)``506226
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``506635
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``506804
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``506963
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``507087
oelem?`1`n`(%)->Boolean`dIntegrationResult(F)``507237
oelement?`2`x`(DPoly,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``507321
oelement`3`n`(M,Integer,Integer)->M`pMatrixManipulation(R,Row,Col,M)``507421
oelementary`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``507530
oelements`1`n`(%)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``507654
oelimZeroCols!`1`n`(%)->Void`dSparseEchelonMatrix(C,D)``507746
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)`507882
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)`508139
oeliminationEquations`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`508460
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)`508644
oeliminationSolve`1`n`(List(Polynomial(R)))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`508933
oeliminationSolve`2`n`(Polynomial(R),List(R))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`509030
oeliminationSolve`3`n`(List(Polynomial(R)),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`509183
oeliminationSolve`3`n`(Polynomial(R),List(R),List(Equation(Polynomial(R))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`509487
oeliminationSolve`3`n`(Polynomial(R),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`509692
oeliminationTransformations`5`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`509906
oeliminationTransformations`6`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(Equation(Polynomial(R))))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`510158
oeliminationTransformations`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),Symbol,List(NonNegativeInteger),List(NonNegativeInteger),Symbol)->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`510331
oellipseBoundary`2`n`(PT,PT)->%`dSBoundary(PT)``510607
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``510846
oellipticE`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``511123
oellipticE`1`x`(%)->%`cSpecialFunctionCategory``511276
oellipticE`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``511429
oellipticE`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``511509
oellipticE`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``511590
oellipticE`1`x`(Float)->Float`pFloatEllipticFunctions``511670
oellipticE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``511751
oellipticE`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`511916
oellipticE`2`x`(%,%)->%`cSpecialFunctionCategory``512019
oellipticE`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``512184
oellipticE`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``512272
oellipticE`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``512360
oellipticE`2`x`(Float,Float)->Float`pFloatEllipticFunctions``512448
oellipticF`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``512536
oellipticF`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`512701
oellipticF`2`x`(%,%)->%`cSpecialFunctionCategory``512804
oellipticF`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``512969
oellipticF`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``513056
oellipticF`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``513143
oellipticF`2`x`(Float,Float)->Float`pFloatEllipticFunctions``513230
oellipticK`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``513317
oellipticK`1`x`(%)->%`cSpecialFunctionCategory``513469
oellipticK`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``513621
oellipticK`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``513708
oellipticK`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``513788
oellipticK`1`x`(Float)->Float`pFloatEllipticFunctions``513873
oellipticPi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``513953
oellipticPi`3`n`(UTS,Coef,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`514141
oellipticPi`3`x`(%,%,%)->%`cSpecialFunctionCategory``514251
oellipticPi`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``514439
oellipticPi`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``514532
oellipticPi`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``514625
oellipticPi`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``514718
oellipticRC`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``514811
oellipticRC`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``514924
oellipticRD`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``515037
oellipticRD`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``515170
oellipticRF`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``515303
oellipticRF`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``515436
oellipticRJ`4`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``515569
oellipticRJ`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``515739
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``515888
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``516014
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``516140
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``516366
oelt`1`n`(%)->S`dReference(S)``516579
oelt`1`x`(%)->R`dCartesianTensor(minix,dim,R)``516629
oelt`2`n`(%,Integer)->R`cSequenceCategory(R)``516690
oelt`2`n`(%,List(%))->%`dOutputForm``516763
oelt`2`n`(%,NonNegativeInteger)->F`dFreeDivisionAlgebra(VAR,F)``516865
oelt`2`n`(%,R)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``516944
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xListAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xListAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"left")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xListAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"right")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xListAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xListAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xStreamAggregate&(A,S)``0
oelt`2`n`(BasicOperator,List(%))->%`dPattern(R)``517005
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,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`x`(%,"count")->NonNegativeInteger`dDataList(S)``517084
oelt`2`x`(%,"first")->S`cUnaryRecursiveAggregate(S)``517152
oelt`2`x`(%,"last")->S`cUnaryRecursiveAggregate(S)``517249
oelt`2`x`(%,"left")->%`cBinaryRecursiveAggregate(S)``517343
oelt`2`x`(%,"rest")->%`cUnaryRecursiveAggregate(S)``517437
oelt`2`x`(%,"right")->%`cBinaryRecursiveAggregate(S)``517531
oelt`2`x`(%,"sort")->%`dDataList(S)``517628
oelt`2`x`(%,"unique")->%`dDataList(S)``517718
oelt`2`x`(%,"value")->S`cRecursiveAggregate(S)``517828
oelt`2`x`(%,%)->%`cStringAggregate``517925
oelt`2`x`(%,D)->I`cEltable(D,I)``518141
oelt`2`x`(%,DirectProduct(n,K))->K`dQuadraticForm(n,K)``518302
oelt`2`x`(%,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``518414
oelt`2`x`(%,Integer)->%`cSExpressionCategory(Str,Sym,Int,Flt)``518570
oelt`2`x`(%,Integer)->R`cFramedNonAssociativeAlgebra(R)``518638
oelt`2`x`(%,Integer)->R`dCartesianTensor(minix,dim,R)``518761
oelt`2`x`(%,List(Integer))->%`cSExpressionCategory(Str,Sym,Int,Flt)``518825
oelt`2`x`(%,List(Integer))->R`dCartesianTensor(minix,dim,R)``519070
oelt`2`x`(%,List(OutputForm))->%`dSymbol``519157
oelt`2`x`(%,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``519295
oelt`2`x`(%,QueryEquation)->%`dDatabase(S)``519379
oelt`2`x`(%,S)->S`cPermutationCategory(S)``519464
oelt`2`x`(%,Symbol)->Any`dLibrary``519553
oelt`2`x`(%,Symbol)->DataList(String)`dDatabase(S)``519686
oelt`2`x`(%,Symbol)->String`dIndexCard``519770
oelt`2`x`(BasicOperator,%)->%`cExpressionSpace``519962
oelt`2`x`(BasicOperator,List(%))->%`cExpressionSpace``520062
oelt`2`x`(Fraction(%),Fraction(%))->Fraction(%)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`520229
oelt`2`x`(Fraction(%),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`520367
oelt`3`n`(%,Integer,C)->D`dSparseEchelonMatrix(C,D)``520518
oelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``520645
oelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``520762
oelt`3`n`(A,Integer,S)->S`xLazyStreamAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xListAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
oelt`3`n`(BasicOperator,S,S)->S`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`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)``520850
oelt`3`x`(%,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``520986
oelt`3`x`(%,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``521134
oelt`3`x`(%,F,PositiveInteger)->F`dRuleset(Base,R,F)``521261
oelt`3`x`(%,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``521396
oelt`3`x`(%,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``521564
oelt`3`x`(%,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``521738
oelt`3`x`(%,Integer,List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``521807
oelt`3`x`(%,Integer,List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``522091
oelt`3`x`(%,List(Integer),Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``522298
oelt`3`x`(%,List(Integer),List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``522582
oelt`3`x`(%,List(Integer),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``522959
oelt`3`x`(%,List(Segment(Integer)),Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``523101
oelt`3`x`(%,List(Segment(Integer)),List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``523308
oelt`3`x`(%,List(Segment(Integer)),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``523507
oelt`3`x`(%,Segment(Integer),List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``523705
oelt`3`x`(%,Segment(Integer),List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``523847
oelt`3`x`(%,Segment(Integer),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``524045
oelt`3`x`(BasicOperator,%,%)->%`cExpressionSpace``524187
oelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``524318
oelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``524446
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`x`(%,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``524526
oelt`4`x`(%,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``524600
oelt`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``524819
oelt`4`x`(BasicOperator,%,%,%)->%`cExpressionSpace``525036
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`(%,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``525197
oelt`5`x`(BasicOperator,%,%,%,%)->%`cExpressionSpace``525276
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``525464
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``525609
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``525771
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``525950
oeltable?`1`n`(F)->Boolean`pRecurrenceOperator(R,F)``526146
oempty?`1`n`(%)->Boolean`cFacetCategory``526250
oempty?`1`n`(%)->Boolean`dLatticeJoinOfMeets``526318
oempty?`1`n`(%)->Boolean`dLatticeMeetOfJoins``526346
oempty?`1`n`(%)->Boolean`dOutputBox``526374
oempty?`1`n`(%)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``526462
oempty?`1`n`(%)->Boolean`dSplittingNode(V,C)``526586
oempty?`1`n`(%)->Boolean`dXmlElement``526675
oempty?`1`n`(OutputForm)->Boolean`pOutputFormTools``526762
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(S)->Boolean`xFacetCategory&(S)``0
oempty?`1`x`(%)->Boolean`cAggregate``526820
oemptyLattice`0`n`()->%`dLatticeJoinOfMeets``526878
oemptyLattice`0`n`()->%`dLatticeMeetOfJoins``526912
oempty_mat?`1`n`(MMT)->Boolean`cModularFactorizationOperations(PA,MMT,MD,PMD)``526946
oempty_mat`0`n`()->MMT`cModularFactorizationOperations(PA,MMT,MD,PMD)``527042
oempty_poly`0`n`()->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``527116
oempty`0`n`()->%`dOutputBox``527181
oempty`0`n`()->%`dOutputForm``527219
oempty`0`n`()->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``527264
oempty`0`n`()->%`dSplittingNode(V,C)``527324
oempty`0`n`()->%`dSymbolTable``527413
oempty`0`n`()->%`dTheSymbolTable``527471
oempty`0`x`()->%`cAggregate``527530
oempty`1`n`(Integer)->%`dVectorIntegerReconstructor``527722
oempty`2`n`(Integer,Integer)->%`dVectorModularReconstructor``527788
oenableAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``527886
oenableDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``527965
oendOfFile?`1`x`(%)->Boolean`dTextFile``528027
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``528200
oenqueue!`2`x`(S,%)->S`cQueueAggregate(S)``528295
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``528384
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``528579
oenterPointData`2`x`(%,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``528838
oentries`1`n`(%)->List(NonNegativeInteger)`dLoop``529056
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`x`(%)->List(Entry)`cIndexedAggregate(Index,Entry)``529126
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))`529228
oenumerate`0`n`()->List(S)`xFinite&(S)``0
oenumerate`0`n`()->Vector(%)`dSetOfMIntegersInOneToN(m,n)``529320
oenumerate`0`x`()->List(%)`cFinite``529416
oenvironment`4`n`(String,String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`dFormatLaTeX``529479
oenvironment`4`n`(String,String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`dFormatMathJax``529760
oepilogue`1`n`(%)->List(String)`dTexFormat``530041
oepilogue`1`n`(%)->OutputBox`dFormatter(F)``530121
oepsilon`0`n`()->Symbol`pMathematicalSymbols``530291
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(%,%)->Boolean`cAggregate``530362
oeqRep?`2`n`(%,%)->Boolean`dJetLazyFunction(JB,D)``530437
oeq`2`x`(%,%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``530638
oequal?`4`n`(%,List(NonNegativeInteger),%,List(NonNegativeInteger))->Boolean`dLinearMultivariateMatrixPencil(R)``530730
oequality`2`x`(%,(%,%)->Boolean)->%`dBasicOperator``530904
oequation`2`x`(S,S)->%`dEquation(S)``531208
oequation`2`x`(Symbol,Segment(S))->%`dSegmentBinding(S)``531260
oequation`2`x`(Symbol,String)->%`dQueryEquation``531435
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``531491
oerf`1`x`(%)->%`cLiouvillianFunctionCategory``531539
oerf`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``531692
oerf`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerf`1`x`(Float)->Float`pFloatLiouvilianFunctions``531740
oerfi`1`n`(F)->F`pLiouvillianFunction(R,F)``531788
oerfi`1`x`(%)->%`cLiouvillianFunctionCategory``531841
oerfi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``531894
oerfi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerfi`1`x`(Float)->Float`pFloatLiouvilianFunctions``531947
oerrorInfo`1`x`(%)->List(Symbol)`dOpenMathError``532000
oerrorKind`1`x`(%)->OpenMathErrorKind`dOpenMathError``532073
oerror`1`x`(List(String))->Exit`pErrorFunctions``532153
oerror`1`x`(String)->Exit`pErrorFunctions``532230
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``532305
oerror`2`x`(String,String)->Exit`pErrorFunctions``532469
oeta`0`n`()->Symbol`pMathematicalSymbols``532637
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``532700
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``532857
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``533192
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``533499
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``533684
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`533795
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``533886
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``534102
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``534424
oeval1`1`n`(%)->%`dJetLazyFunction(JB,D)``534577
oeval1`4`n`(MP,Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(MP,"failed")`cModularEvaluationCategory(PT,MP)``534689
oeval1`4`n`(Polynomial(Integer),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Polynomial(Integer)`pPolynomialEvaluationUtilities``534830
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``535029
oeval1a`3`n`(Polynomial(Integer),Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Integer`pPolynomialEvaluationUtilities``535249
oeval_at`4`n`(U32Vector,Integer,Integer,Integer)->Integer`pU32VectorPolynomialOperations``535486
oeval_with_timeout`2`n`(()->S,Integer)->Union(S,"failed")`pTimeoutPackage(S)``535660
oeval`1`n`(%)->%`dJetLazyFunction(JB,D)``535848
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``535955
oeval`2`n`(%,D)->D`dJetVectorField(JB,D)``536025
oeval`2`n`(%,F)->F`dMoebiusTransform(F)``536112
oeval`2`n`(%,JetVectorField(JB,D))->D`dJetDifferential(JB,D)``536264
oeval`2`n`(%,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``536357
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``536509
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)``536737
oeval`2`x`(%,%)->%`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`536884
oeval`2`x`(%,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(^,Coef(Coef,Expon)))`536969
oeval`2`x`(%,Equation(R))->%`cEvalable(R)``537090
oeval`2`x`(%,List(%))->%`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`537164
oeval`2`x`(%,List(Equation(R)))->%`cEvalable(R)``537268
oeval`2`x`(%,S)->S`cPermutationCategory(S)``537366
oeval`2`x`(Distribution(R),UPS)->S`pDistributionPolynomialPackage(R,S,UPS)``537456
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``537604
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``537724
oeval`2`x`(MxN,(M,N)->S)->S`cTensorProductProperty(R,M,N,MxN,S)``537987
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)``538088
oeval`3`x`(%,A,B)->%`cInnerEvalable(A,B)``538170
oeval`3`x`(%,BasicOperator,(%)->%)->%`cExpressionSpace``538245
oeval`3`x`(%,BasicOperator,(List(%))->%)->%`cExpressionSpace``538349
oeval`3`x`(%,List(A),List(B))->%`cInnerEvalable(A,B)``538500
oeval`3`x`(%,List(BasicOperator),List((%)->%))->%`cExpressionSpace``538609
oeval`3`x`(%,List(BasicOperator),List((List(%))->%))->%`cExpressionSpace``538761
oeval`3`x`(%,List(Symbol),List((%)->%))->%`cExpressionSpace``538962
oeval`3`x`(%,List(Symbol),List((List(%))->%))->%`cExpressionSpace``539114
oeval`3`x`(%,List(VarSet),List(%))->%`cFreeLieAlgebra(VarSet,R)``539315
oeval`3`x`(%,Symbol,(%)->%)->%`cExpressionSpace``539438
oeval`3`x`(%,Symbol,(List(%))->%)->%`cExpressionSpace``539542
oeval`3`x`(%,VarSet,%)->%`cFreeLieAlgebra(VarSet,R)``539693
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``539768
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``540001
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))`540086
oeval`4`x`(%,List(BasicOperator),List(%),Symbol)->%`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`540230
oeval`4`x`(%,List(Symbol),List(NonNegativeInteger),List((%)->%))->%`cFunctionSpace(R)`has(R,Ring)`540422
oeval`4`x`(%,List(Symbol),List(NonNegativeInteger),List((List(%))->%))->%`cFunctionSpace(R)`has(R,Ring)`540598
oeval`4`x`(%,Symbol,NonNegativeInteger,(%)->%)->%`cFunctionSpace(R)`has(R,Ring)`540816
oeval`4`x`(%,Symbol,NonNegativeInteger,(List(%))->%)->%`cFunctionSpace(R)`has(R,Ring)`540927
oevaluateInverse`2`n`(%,(R)->R)->%`dOperator(R)``0
oevaluateInverse`2`x`(%,(M)->M)->%`dModuleOperator(R,M)``541080
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``541132
oevaluate`2`n`(%,(R)->R)->%`dOperator(R)``0
oevaluate`2`x`(%,(M)->M)->%`dModuleOperator(R,M)``541256
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``541583
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``541817
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``542054
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(%)->Boolean`cExpressionSpace`has(%,RetractableTo(Integer))`542238
oeven?`1`x`(%)->Boolean`cIntegerNumberSystem``542307
oeven?`1`x`(%)->Boolean`dPermutation(S)``542383
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``542514
oevenlambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
oevenlambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``542666
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``543047
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)`543371
oexQuo`2`n`(%,%)->Union(%,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``543687
oexQuo`2`n`(%,%)->Union(%,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``543729
oexQuo`2`n`(%,%)->Union(%,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``543771
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`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`543813
oexactQuotient!`2`x`(%,R)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`543900
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`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`543988
oexactQuotient`2`x`(%,R)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`544176
oexists?`1`x`(%)->Boolean`cFileNameCategory``544364
oexp0`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``544434
oexp1`0`x`()->%`dDoubleFloat``544633
oexp1`0`x`()->%`dFloat``544706
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``544766
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``544853
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)``545315
oexp`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``545617
oexp`1`n`(F)->F`pElementaryFunction(R,F)``545684
oexp`1`n`(LiePolynomial(VarSet,R))->%`dLieExponentials(VarSet,R,Order)``545750
oexp`1`n`(List(Integer))->%`dAntiSymm(R,lVar)``545808
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)``545882
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``545958
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``546034
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``546107
oexp`1`x`(%)->%`cElementaryFunctionCategory``546182
oexp`2`n`(%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`546245
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``546341
oexpa`1`n`(%)->IntegerMod(n)`dDihedralGroup(n,a,b)``546432
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``546524
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``546690
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)))`546803
oexpand`1`n`(%)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(%)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``547184
oexpand`1`x`(%)->L`cSegmentExpansionCategory(S,L)``547246
oexpand`1`x`(%)->R`dFactored(R)``547435
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``547648
oexpand`1`x`(List(%))->L`cSegmentExpansionCategory(S,L)``548054
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``548310
oexpand`2`x`(IntegrationResult(F),Symbol)->List(F)`pIntegrationResultToFunction(R,F)``548412
oexpand`2`x`(IntegrationResult(Fraction(Polynomial(R))),Symbol)->List(Expression(R))`pIntegrationResultRFToFunction(R)``548524
oexpb`1`n`(%)->IntegerMod(2)`dDihedralGroup(n,a,b)``548636
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)``548737
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``548993
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)``549085
oexplicitEntries?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``549306
oexplicitlyEmpty?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``549446
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(%)->Boolean`cStreamAggregate(S)``549611
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``549813
oexponent`1`n`(%)->E`dModuleMonomial(IS,E,ff)``549950
oexponent`1`n`(%)->Integer`dCyclicGroup(n,g)``549990
oexponent`1`n`(%)->Integer`dInfiniteCyclicGroup(g)``550067
oexponent`1`n`(%)->Integer`dMachineFloat``550144
oexponent`1`n`(%)->NonNegativeInteger`dIntegerLocalizedAtPrime(p)``550203
oexponent`1`n`(%)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``550362
oexponent`1`x`(%)->Integer`cFloatingPointSystem``550416
oexponenta`1`n`(%)->Integer`dDihedralGroup(n,a,b)``550516
oexponentb`1`n`(%)->Integer`dDihedralGroup(n,a,b)``550624
oexponential1`0`n`()->Float`pRandomFloatDistributions``550741
oexponentialOrder`1`n`(%)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``550784
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``550896
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->%`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``550939
oexponents`1`n`(%)->List(Integer)`dExtAlgBasis``551075
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)``551236
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)``553304
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)``555372
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)``555570
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)``555768
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)``556141
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)``556514
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)``558569
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``560624
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``560940
oexpressIdealMember`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(%),%)->Union(List(%),"failed")`cPrincipalIdealDomain``561030
oexpression2Fortran1`3`n`(()->Symbol,OutputForm,Boolean)->List(String)`pFortranCodeTools``561237
oexpression2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``561299
oexprex`1`n`(OutputForm)->String`dHTMLFormat``561336
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``561411
oexquo`2`n`(%,%)->%`dOutputForm``561472
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)``561535
oexquo`2`x`(%,%)->Union(%,"failed")`cEntireRing``561673
oexquo`2`x`(%,%)->Union(%,"failed")`dNonNegativeInteger``561804
oexquo`2`x`(%,R)->Union(%,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`561946
oexquo`2`x`(%,R)->Union(%,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,EntireRing)`562086
oexquo`2`x`(%,R)->Union(%,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`562206
oexquo`2`x`(%,R)->Union(%,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`562356
oexquo`2`x`(%,R)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`562506
oextendIfCan`2`x`(%,P)->Union(%,"failed")`cTriangularSetCategory(R,E,V,P)``562632
oextendToPoint`2`n`(%,PT)->%`dSBoundary(PT)``563190
oextend`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`x`(%,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``563351
oextend`2`x`(%,Integer)->%`cLazyStreamAggregate(S)``563454
oextend`2`x`(%,Integer)->%`cPAdicIntegerCategory(p)``563691
oextend`2`x`(%,Integer)->%`dContinuedFraction(R)``563775
oextend`2`x`(%,List(R))->%`cPointCategory(R)``563955
oextend`2`x`(%,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``564003
oextend`2`x`(%,P)->%`cTriangularSetCategory(R,E,V,P)``564099
oextend`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``564392
oextend`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``564557
oextend`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``564658
oextend`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``564955
oextendedALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``565054
oextendedCoords`1`n`(%)->List(DoubleFloat)`cSPointCategory``565165
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(%,%)->Record(coef1:%,coef2:%,generator:%)`cEuclideanDomain``565238
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``565625
oextendedLLL!`2`n`(Matrix(Integer),NonNegativeInteger)->Matrix(Integer)`pLLLReduction``565839
oextendedLLL`1`n`(Matrix(Integer))->Record(lll:Matrix(Integer),trf:Matrix(Integer))`pLLLReduction``566185
oextendedResultant`2`n`(%,%)->Record(resultant:R,coef1:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`566396
oextendedSubResultantGcd`2`n`(%,%)->Record(gcd:%,coef1:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`566559
oextendedSubResultantGcd`2`x`(%,%)->Record(gcd:%,coef1:%,coef2:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`566746
oextended_gcd`3`n`(U32Vector,U32Vector,Integer)->List(U32Vector)`pU32VectorPolynomialOperations``566917
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)``567220
oextendedint`3`n`(Symbol,List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricIntegration(R,F)``567533
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)``567757
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``568014
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``568085
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``568226
oextension`1`x`(%)->String`cFileNameCategory``568297
oexteriorDifferential`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``568364
oexternal?`1`n`(%)->Boolean`dFortranType``568511
oexternalList`1`n`(%)->List(Symbol)`dSymbolTable``568597
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`x`(%)->S`cBagAggregate(S)``568686
oextractBottom!`1`x`(%)->S`cDequeueAggregate(S)``568769
oextractClosed`1`n`(%)->Boolean`dSubSpace(n,R)``568906
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``569140
oextractIndex`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``569211
oextractPoint`1`n`(%)->Point(R)`dSubSpace(n,R)``569339
oextractProperty`1`n`(%)->SubSpaceComponentProperty`dSubSpace(n,R)``569498
oextractSplittingLeaf`1`n`(%)->Union(%,"failed")`dSplittingTree(V,C)``569649
oextractSymbol`1`n`(SparseEchelonMatrix(JB,%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``569792
oextractSymbol`1`n`(SparseEchelonMatrix(JB,S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
oextractSymbol`2`n`(%,Boolean)->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``569878
oextractTop!`1`x`(%)->S`cDequeueAggregate(S)``570073
oextract`3`n`(%,Integer,Integer)->%`dSparseEchelonMatrix(C,D)``570205
oeyeDistance`2`x`(%,Float)->Void`dThreeDimensionalViewport``570317
ofaceMap`2`n`(%,NonNegativeInteger)->List(List(Integer))`dDeltaComplex(VS)``570518
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`570773
ofactorAndSplit`1`x`(%)->List(%)`dEquation(S)`has(S,IntegralDomain)`570881
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``571058
ofactorFraction`1`x`(%)->Fraction(Factored(S))`dFraction(S)`has(S,UniqueFactorizationDomain)`571287
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``571387
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``571533
ofactorList`1`x`(%)->List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger))`dFactored(R)``571774
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``571870
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``571927
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``572064
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``572150
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``572330
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``572473
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``572716
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``573075
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``573193
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``573310
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``573593
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``573789
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``573901
ofactorSquareFree`1`n`(UP)->Factored(UP)`pUnivariateFiniteFieldFactorize(F,UP)``574045
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``574149
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``574432
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``574678
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``575020
ofactor`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``575334
ofactor`1`n`(%)->List(%)`dILogic``575513
ofactor`1`n`(%)->List(%)`dLatticeJoinOfMeets``575854
ofactor`1`n`(%)->List(%)`dLatticeMeetOfJoins``576195
ofactor`1`n`(FreeMonoid(VarSet))->List(%)`dLyndonWord(VarSet)``576536
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``576616
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`576691
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``576747
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``576844
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``576976
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``577051
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)``577142
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``577452
ofactor`1`n`(UP)->Factored(UP)`pUnivariateFiniteFieldFactorize(F,UP)``577533
ofactor`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)`has(F,PolynomialFactorizationExplicit)`577597
ofactor`1`x`(%)->Factored(%)`cUniqueFactorizationDomain``577812
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``577893
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``577995
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``578092
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``578213
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``578297
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``578482
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``578706
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``578818
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``578885
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``579009
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``579118
ofactor`2`n`(SparseUnivariatePolynomial(F),List(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``579267
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``579430
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``579662
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``579860
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``580021
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``580261
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``580401
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``580622
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)``580782
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``580813
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``581070
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``581299
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``581615
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(%)->%`cCombinatorialFunctionCategory``581708
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``581873
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``582027
ofactorials`1`x`(%)->%`cCombinatorialOpsCategory``582131
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``582235
ofactorials`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``582363
ofactorizationEquations`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``582491
ofactorizationGroebner`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``582591
ofactorizationSolve`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``582690
ofactorizationTransformations`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``582905
ofactorize`2`n`(%,NonNegativeInteger)->List(%)`dFreeDivisionAlgebra(VAR,F)``583017
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:NonNegativeInteger))`cFiniteFieldCategory``583165
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``583251
ofactors`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``583365
ofactors`1`n`(%)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``583495
ofactors`1`n`(%)->List(Record(gen:S,exp:NonNegativeInteger))`dFreeMonoid(S)``583592
ofactors`1`x`(%)->List(Record(factor:R,exponent:NonNegativeInteger))`dFactored(R)``583689
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``583981
ofailed?`1`n`(%)->Boolean`dPatternMatchListResult(R,S,L)``584060
ofailed?`1`n`(%)->Boolean`dPatternMatchResult(R,S)``584122
ofailed`0`n`()->%`dPatternMatchListResult(R,S,L)``584184
ofailed`0`n`()->%`dPatternMatchResult(R,S)``584231
ofalse`0`x`()->%`cLogic``584278
offfg`3`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``584321
offfg`4`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``584405
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``585238
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``585397
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``585558
ofilename`3`x`(String,String,String)->%`cFileNameCategory``585887
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)`586142
ofill!`2`x`(%,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``586269
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``586335
ofilterUntil`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``586394
ofilterUntil`2`x`((S)->Boolean,%)->%`dStream(S)``586474
ofilterWhile`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``586655
ofilterWhile`2`x`((S)->Boolean,%)->%`dStream(S)``586731
ofindCycle`2`x`(NonNegativeInteger,%)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``586915
ofindNode`2`n`(%,String)->Scene(PT)`dSceneNamedPoints(PT)``586994
ofindNonZeroEntry`3`n`(Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`pXDistributedPolynomialFunctions(VAR,F)``587049
ofindPoint`2`n`(%,String)->PT`dSceneNamedPoints(PT)``587267
ofind_relation`2`n`(List(Float),NonNegativeInteger)->List(Integer)`pLLLReduction``587351
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)``587483
ofinite?`1`x`(%)->Boolean`dCardinalNumber``587613
ofinite?`1`x`(%)->Boolean`dOnePointCompletion(R)``587727
ofinite?`1`x`(%)->Boolean`dOrderedCompletion(R)``587781
ofiniteBasis`1`n`(%)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``587835
ofiniteLattice`1`n`(NonNegativeInteger)->%`dFiniteLattice(S,p)``587922
ofiniteLattice`1`n`(S)->%`dFiniteLattice(S,p)``587973
ofinitePoset`2`n`(List(S),(S,S)->Boolean)->%`cPoset(S)``588025
ofinitePoset`2`n`(List(S),List(List(Boolean)))->%`cPoset(S)``588177
ofintegrate`3`n`(()->%,Var,Coef)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`588278
ofintegrate`3`x`(()->%,Symbol,Coef)->%`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`588492
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``588706
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``588825
ofirst`1`n`(%)->A`dProduct(A,B)``589144
ofirst`1`n`(%)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``589206
ofirst`1`n`(%)->S`dFreeMonoid(S)``589280
ofirst`1`n`(%)->VarSet`dFreeMagma(VarSet)``589341
ofirst`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ofirst`1`n`(A)->S`xLinearAggregate&(A,S)``0
ofirst`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ofirst`1`n`(S)->Entry`xIndexedAggregate&(S,Index,Entry)``0
ofirst`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
ofirst`1`x`(%)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`589410
ofirst`1`x`(%)->S`cUnaryRecursiveAggregate(S)``589575
ofirst`1`x`(%)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``589685
ofirst`2`n`(%,NonNegativeInteger)->%`cSequenceCategory(R)``589837
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xLinearAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
ofirst`2`x`(%,NonNegativeInteger)->%`cLinearAggregate(S)``589916
ofirst`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)``590055
ofirstn`2`n`(%,NonNegativeInteger)->List(R)`cSequenceCategory(R)``590142
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``590216
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``590304
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``590554
ofixedPoints`1`x`(%)->Set(S)`dPermutation(S)`has(S,Finite)`590678
oflagFactor`3`x`(R,NonNegativeInteger,Union("nil","sqfr","irred","prime"))->%`dFactored(R)``590761
oflatten`1`n`(%)->%`dInputForm``590939
oflatten`1`n`(DirectedGraph(%))->%`cFiniteGraph(S)``591179
oflatten`1`n`(DirectedGraph(A))->A`xPoset&(A,S)``0
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``591371
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``591590
oflexibleArray`1`n`(List(S))->%`dIndexedFlexibleArray(S,mn)``591809
oflexibleArray`1`x`(List(S))->%`dFlexibleArray(S)``0
ofloat?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``591900
ofloat`1`x`(%)->Flt`cSExpressionCategory(Str,Sym,Int,Flt)``591988
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->%`cFloatingPointSystem``592124
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->%`cFloatingPointSystem``592183
ofloor`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``592242
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(%)->%`cRealNumberSystem``592318
ofloor`1`x`(%)->%`cSpecialFunctionCategory``592381
ofloor`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`592457
oflush`1`x`(%)->Void`cFileCategory(Name,S)``592533
ofmecg`4`n`(S,E,R,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
ofmecg`4`x`(%,E,R,%)->%`cFiniteAbelianMonoidRing(R,E)`has(R,Ring)`592625
oforLoop`2`n`(SegmentBinding(Polynomial(Integer)),%)->%`dFortranCode``592708
oforLoop`3`n`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),%)->%`dFortranCode``592837
oformalDiff2`3`n`(%,PositiveInteger,SparseEchelonMatrix(JB,%))->Record(DPhi:%,JVars:List(JB))`cJetBundleFunctionCategory(JB)``592983
oformalDiff2`3`n`(List(%),PositiveInteger,SparseEchelonMatrix(JB,%))->Record(DSys:List(%),JVars:List(List(JB)))`cJetBundleFunctionCategory(JB)``593262
oformalDiff2`3`n`(List(S),PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DSys:List(S),JVars:List(List(JB)))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(S,PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DPhi:S,JVars:List(JB))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(%,List(NonNegativeInteger))->%`cJetBundleFunctionCategory(JB)``593368
oformalDiff`2`n`(%,PositiveInteger)->%`cJetBundleFunctionCategory(JB)``593478
oformalDiff`2`n`(List(%),PositiveInteger)->List(%)`cJetBundleFunctionCategory(JB)``593610
oformalDiff`2`n`(List(S),PositiveInteger)->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(S,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(S,PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oformatConstant`1`n`(String)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``593758
oformatConstant`1`n`(String)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``593834
oformatExpression`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``593910
oformatExpression`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``594139
oformatExpression`1`n`(OutputForm)->OutputBox`cFormatterCategory``594368
oformatExpression`1`n`(OutputForm)->OutputBox`xFormatterCategory&(S)``594457
oformatExpression`2`n`(OutputForm,Integer)->OutputBox`cFormatterCategory``594546
oformatExpression`2`n`(OutputForm,Integer)->OutputBox`xFormatterCategory&(S)``595168
oformatFloat`1`n`(String)->OutputBox`cFormatterCategory``595790
oformatFloat`1`n`(String)->OutputBox`xFormatterCategory&(S)``595907
oformatFunctionSymbol`1`n`(String)->OutputBox`cFormatterCategory``596024
oformatFunctionSymbol`1`n`(String)->OutputBox`xFormatterCategory&(S)``596108
oformatFunction`2`n`(OutputBox,List(OutputBox))->OutputBox`cFormatterCategory``596192
oformatFunction`2`n`(OutputBox,List(OutputBox))->OutputBox`xFormatterCategory&(S)``596409
oformatInteger`1`n`(Integer)->OutputBox`cFormatterCategory``596626
oformatInteger`1`n`(Integer)->OutputBox`xFormatterCategory&(S)``596677
oformatStep`2`n`(OutputForm,Integer)->%`dFormatter(F)``596728
oformatString`1`n`(String)->OutputBox`cFormatterCategory``596843
oformatString`1`n`(String)->OutputBox`xFormatterCategory&(S)``596891
oformatSymbol`1`n`(String)->OutputBox`cFormatterCategory``596939
oformatSymbol`1`n`(String)->OutputBox`xFormatterCategory&(S)``596987
oformat`1`n`(%)->OutputBox`dFormatter(F)``597035
oformat`1`n`(OutputForm)->%`dFormatter(F)``597114
ofortFormatHead`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol))->Void`pFortranCodeTools``597198
ofortFormatTypeLines`2`n`(String,List(String))->Void`pFortranCodeTools``597255
ofort_clean_lines`1`n`(List(String))->List(String)`pFortranCodeTools``0
ofort_format_types`2`n`(String,List(OutputForm))->Void`pFortranCodeTools``597304
ofortranCarriageReturn`0`n`()->Void`dFortranTemplate``597355
ofortranCharacter`0`n`()->%`dFortranType``597457
ofortranComplex`0`n`()->%`dFortranType``597537
ofortranDoubleComplex`0`n`()->%`dFortranType``597613
ofortranDouble`0`n`()->%`dFortranType``597702
ofortranInteger`0`n`()->%`dFortranType``597786
ofortranLiteralLine`1`n`(String)->Void`dFortranTemplate``597862
ofortranLiteral`1`n`(String)->Void`dFortranTemplate``597984
ofortranLogical`0`n`()->%`dFortranType``598069
ofortranReal`0`n`()->%`dFortranType``598145
ofortranTypeOf`2`n`(Symbol,%)->FortranType`dSymbolTable``598215
ofortran`3`n`(Symbol,FortranScalarType,FS)->%`dSimpleFortranProgram(R,FS)``598289
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``598473
ofracPart`1`x`(%)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``598512
ofractRadix`2`x`(List(Integer),List(Integer))->%`dRadixExpansion(bb)``598603
ofractRagits`1`x`(%)->Stream(Integer)`dRadixExpansion(bb)``598814
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`598908
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``599050
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(%)->%`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`599121
ofractionPart`1`x`(%)->%`cRealNumberSystem``599248
ofractionPart`1`x`(%)->%`cSpecialFunctionCategory``599318
ofractionPart`1`x`(%)->Fraction(Integer)`dBinaryExpansion``599448
ofractionPart`1`x`(%)->Fraction(Integer)`dDecimalExpansion``599529
ofractionPart`1`x`(%)->Fraction(Integer)`dHexadecimalExpansion``599611
ofractionPart`1`x`(%)->Fraction(Integer)`dRadixExpansion(bb)``599697
ofraction`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``599778
ofractionalTerms`1`x`(%)->List(Record(num:R,d_fact:R,d_exp:NonNegativeInteger))`dPartialFraction(R)``600021
ofree?`1`n`(%)->Boolean`dLambda(UT)``600207
ofreeConvolution`2`n`(%,%)->%`cDistributionCategory(R)``600309
ofreeCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``600419
ofreeCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``600536
ofreeCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``600638
ofreeMultiplicativeConvolution`2`x`(%,%)->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`600738
ofreeOf?`2`n`(%,JB)->Boolean`cJetBundleFunctionCategory(JB)``600883
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`x`(%,%)->Boolean`cExpressionSpace``600979
ofreeOf?`2`x`(%,Symbol)->Boolean`cExpressionSpace``601109
ofreePoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``601211
ofreeVariable?`2`n`(%,UT)->Boolean`dSKICombinators(UT)``601311
ofresnelC`1`n`(F)->F`pLiouvillianFunction(R,F)``601428
ofresnelC`1`x`(%)->%`cLiouvillianFunctionCategory``601492
ofresnelC`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``601616
ofresnelC`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelC`1`x`(Float)->Float`pFloatLiouvilianFunctions``601680
ofresnelS`1`n`(F)->F`pLiouvillianFunction(R,F)``601744
ofresnelS`1`x`(%)->%`cLiouvillianFunctionCategory``601808
ofresnelS`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``601932
ofresnelS`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelS`1`x`(Float)->Float`pFloatLiouvilianFunctions``601996
ofrobenius`1`n`(%)->%`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`602060
ofront`1`x`(%)->S`cQueueAggregate(S)``602147
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`602297
ofrst`1`x`(%)->S`cLazyStreamAggregate(S)``602394
ofsqrt`1`n`(F)->F`pGenerateEllipticIntegrals(F,UP,UPUP,R)``602579
ofullDisplay`1`x`(%)->Void`dDatabase(S)``602634
ofullDisplay`1`x`(%)->Void`dIndexCard``602712
ofullDisplay`3`x`(%,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``602796
ofullPartialFraction`1`x`(Fraction(UP))->%`dFullPartialFractionExpansion(F,UP)``602919
ofunctionGraph`1`n`(List(Permutation(S)))->%`dFunctionGraph(S)``603088
ofunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:NonNegativeInteger,map:List(NonNegativeInteger))))->%`dFunctionGraph(S)``603140
ofunctionGraph`1`n`(List(S))->%`dFunctionGraph(S)``603244
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)``603516
ofunctionName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``603631
ofunctionName`1`x`(Symbol)->%`dGuessOption``603762
ofunctionNames`1`n`(List(GuessOption))->List(Symbol)`dGuessOptionFunctions0``603950
ofunctionNames`1`x`(List(Symbol))->%`dGuessOption``604092
ofunction`2`n`(Symbol,List(%))->%`dJetBundleXExpression(JB)``604249
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``604348
ofunction`3`n`(%,List(Symbol),Symbol)->%`dInputForm``604419
ofunction`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``604549
ofunction`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``604706
ofunction`3`n`(Symbol,List(%),NonNegativeInteger)->%`dJetBundleExpression(JB)``604863
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``605032
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``605139
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``605216
ofundamentalGroup`1`n`(%)->GroupPresentation`dDeltaComplex(VS)``605302
ofundamentalGroup`1`n`(%)->GroupPresentation`dFiniteCubicalComplex(VS)``605367
ofundamentalGroup`1`n`(%)->GroupPresentation`dFiniteSimplicialComplex(VS)``605852
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dDeltaComplex(VS)``606374
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dFiniteCubicalComplex(VS)``606439
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dFiniteSimplicialComplex(VS)``606965
ogamma`0`n`()->Symbol`pMathematicalSymbols``607528
ogamma`0`x`()->Complex(Float)`pFloatLiouvilianFunctions``607595
ogaugeHilbert`2`n`(NonNegativeInteger,List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``607639
ogauge`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``607800
ogaussianDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``608005
ogbasisExtend`4`n`(List(Dpol),List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``608098
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``608367
ogcdBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``608448
ogcdBasis`1`n`(Vector(R))->Vector(R)`pGcdBasis(R)``608514
ogcdDecomposition`1`n`(Vector(Fraction(R)))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``608590
ogcdDecomposition`1`n`(Vector(R))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``608759
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``608928
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``609012
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(%),SparseUnivariatePolynomial(%))->SparseUnivariatePolynomial(%)`cPolynomialFactorizationExplicit``609139
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``609258
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``609360
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``609471
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``609582
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``609661
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)``609745
ogcd`1`x`(List(%))->%`cGcdDomain``609829
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``609918
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)``610014
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`610110
ogcd`2`x`(%,%)->%`cGcdDomain``610185
ogcd`2`x`(%,%)->%`dNonNegativeInteger``610273
ogcd`2`x`(%,%)->%`dPositiveInteger``610388
ogcd`2`x`(R,%)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`610499
ogcd`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``610589
ogcd`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``610679
ogcd`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``610782
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``610914
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``611015
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``611119
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``611217
oge_minimal`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->List(Record(singularity:Record(point:Union(Expression(Integer),"infinity"),lpf:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dxt:PositiveInteger),fos:List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),mge:List(UnivariateLaurentSeries(Expression(Integer),var,cen))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``611321
ogenVectorStream2`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``611352
ogenVectorStream`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``611441
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)``611634
ogen_ef`4`n`(F,UP,R,R)->Union(Record(result1:Fraction(UP),result2:F),"failed")`pGenerateEllipticIntegrals(F,UP,UPUP,R)``611847
ogen_exp`4`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),Union(Expression(Integer),"infinity"),(SparseUnivariatePolynomial(Expression(Integer)),List(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),List(Expression(Integer)))->List(Record(ecs:List(UnivariateLaurentSeries(Expression(Integer),var,cen)),ecr:UnivariatePolynomial(var,Expression(Integer)),ect:Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``611926
ogeneralCoefficient`4`n`((NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D`pFractionFreeFastGaussian(D,V)``611957
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteLambertProduct(Coef,UTS)``612336
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``612511
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(VF),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussianFractions(D,V,VF)``613356
ogeneralInterpolation`5`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``613806
ogeneralLambert`3`n`(%,Integer,Integer)->%`dUnivariateFormalPowerSeries(Coef)``0
ogeneralLambert`3`n`(%,Integer,Integer)->%`dUnivariateTaylorSeries(Coef,var,cen)``614009
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``614240
ogeneralPosition`2`x`(%,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:%)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``614442
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``614626
ogeneral_Lambert_product`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``614775
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``614989
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``615090
ogeneralizedEigenvector`2`n`(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``615208
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)``615393
ogeneralizedEigenvector`4`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``615578
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``615858
ogeneralizedEigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`616138
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)`616240
ogeneralizedEigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``616366
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`616526
ogeneralizedMoebiusFunction`2`n`(List(P),(P,P)->R)->%`dGeneralizedFiniteMoebiusFunction(P,R)``616770
ogenerator`0`n`()->%`dCyclicGroup(n,g)``616855
ogenerator`0`n`()->%`dInfiniteCyclicGroup(g)``616904
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`616953
ogenerator`0`x`()->%`cMonogenicAlgebra(R,UP)``617092
ogenerator`1`n`(NonNegativeInteger)->%`dAntiSymm(R,lVar)``617157
ogenerator`1`n`(NonNegativeInteger)->%`dDeRhamComplex(CoefRing,listIndVar)``617249
ogenerator`1`x`(%)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``617335
ogenerator`1`x`(NonNegativeInteger)->%`dFreeNilpotentLie(n,class,R)``617478
ogenerator`3`x`(%,Integer,List(UP))->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``617542
ogenerators`0`n`()->List(%)`cFinitelyGenerated``617856
ogenerators`1`x`(%)->List(DPoly)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``617915
ogenerators`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``617996
ogeneric?`1`n`(%)->Boolean`dPattern(R)``618071
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`618146
ogenericLeftMinimalPolynomial`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`618480
ogenericLeftNorm`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`618625
ogenericLeftTraceForm`2`n`(%,%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`618898
ogenericLeftTrace`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`619046
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``619288
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`619434
ogenericRightMinimalPolynomial`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`619769
ogenericRightNorm`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`619919
ogenericRightTraceForm`2`n`(%,%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`620159
ogenericRightTrace`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`620312
ogeneric`0`n`()->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``620519
ogeneric`1`n`(Symbol)->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``620689
ogeneric`1`n`(Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``620856
ogeneric`1`n`(Vector(Symbol))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``621028
ogeneric`2`n`(Symbol,Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``621232
ogeneric`2`n`(Vector(Symbol),Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``621397
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``621626
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``621706
ogeometric`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``621786
ogetArr`1`n`(%)->List(List(Boolean))`cPoset(S)``621827
ogetArrowIndex`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``621982
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->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)``622077
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
ogetBadValues`1`n`(%)->List(Any)`dPattern(R)``622148
ogetBoundValue`1`n`(%)->NonNegativeInteger`dLambda(UT)``622289
ogetCentre`1`n`(%)->PT`dSBoundary(PT)``622371
ogetChildren`1`n`(%)->List(%)`dILogic``622470
ogetChildren`1`n`(%)->List(%)`dLambda(UT)``622545
ogetChildren`1`n`(%)->List(%)`dLatticeJoinOfMeets``622667
ogetChildren`1`n`(%)->List(%)`dLatticeMeetOfJoins``622742
ogetChildren`1`n`(%)->List(%)`dSKICombinators(UT)``622817
ogetCode`1`n`(%)->List(String)`dFortranCode``622892
ogetCurve`1`n`(%)->Curve`dTubePlot(Curve)``623029
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``623173
ogetDialect`0`n`()->Symbol`dTexFormat``623432
ogetEq`1`n`(F)->F`pRecurrenceOperator(R,F)``623491
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``623612
ogetGraph`2`n`(%,PositiveInteger)->GraphImage`dTwoDimensionalViewport``623690
ogetIndexesSigned`1`n`(%)->List(Integer)`dOrientedFacet``623936
ogetIndexes`1`n`(%)->List(NonNegativeInteger)`dOrientedFacet``623997
ogetIndexs`1`n`(%)->List(Record(left:NonNegativeInteger,right:NonNegativeInteger))`dProductFacet``624028
ogetIntervals`1`n`(%)->List(Segment(Integer))`dCubicalFacet``624056
ogetMatch`2`n`(Pattern(R),%)->Union(S,"failed")`dPatternMatchResult(R,S)``624112
ogetMaxLeft`1`n`(%)->NonNegativeInteger`dProductFacet``624273
ogetMaxRight`1`n`(%)->NonNegativeInteger`dProductFacet``624307
ogetMax`1`n`(%)->PT`dSBoundary(PT)``624342
ogetMin`1`n`(%)->PT`dSBoundary(PT)``624435
ogetMult`1`n`(%)->Integer`cFacetCategory``624528
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``624562
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``624656
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``624750
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``624844
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``625021
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``625198
ogetName`1`n`(%)->String`cVarCat``625375
ogetNames`1`n`(%)->List(String)`dSceneNamedPoints(PT)``625416
ogetNotation`0`n`()->Symbol`cJetBundleCategory``625480
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)``625543
ogetPickedPoints`1`n`(%)->List(Point(DoubleFloat))`dTwoDimensionalViewport``625737
ogetRef`1`n`(%)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``626040
ogetSimplifyDenomsFlag`0`x`()->Boolean`dExpression(R)`has(R,IntegralDomain)`626156
ogetStatement`2`n`(OutputForm,Boolean)->List(String)`pFortranCodeTools``626283
ogetStream`1`n`(%)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``626332
ogetType`0`n`()->InputForm`pInputFormFunctions1(R)``626421
ogetType`1`n`(%)->ILogic`cVarCat``626494
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``626695
ogetVariable`1`n`(%)->UT`dLambda(UT)``626902
ogetVariable`1`n`(%)->UT`dSKICombinators(UT)``627012
ogetVert`1`n`(%)->List(S)`cPoset(S)``627090
ogetVertexIndex`2`n`(%,S)->NonNegativeInteger`cFiniteGraph(S)``627275
ogetVertexIndex`2`n`(A,S)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetVertices`1`n`(%)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`cFiniteGraph(S)``627367
ogetVertices`1`n`(A)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`xPoset&(A,S)``0
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``627467
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``627605
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``627734
oget_char`1`n`(MD)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``627872
oget_elliptics`2`n`((UP)->UP,F)->List(Record(f_form:R,e_form:R,f_var:F,f_pol:UP))`pGenerateEllipticIntegrals(F,UP,UPUP,R)``627964
oget_extension_degree`1`n`(MD)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``628106
oget_fort_indent`0`n`()->Integer`pFortranCodeTools``628226
oget_mod`1`n`(PMD)->MD`cModularFactorizationOperations(PA,MMT,MD,PMD)``628301
oget_output_mode`0`x`()->Record(mode:String,prec:Integer)`dFloat``628369
oget_rational_roots`1`n`(UP)->List(Fraction(Integer))`pPolynomialRationalRoots(F,UP)``628443
oget_rational_roots`2`n`(F,Kernel(F))->List(Fraction(Integer))`pFunctionSpaceRationalRoots(R,F)``628512
oget_used_intrinsics`0`n`()->List(String)`pFortranCodeTools``628631
oget_value`1`x`(%)->VT`dParametricComplexCurve(VT)``0
oget_variables`3`n`(List(List(Fraction(Polynomial(Integer)))),Symbol,Symbol)->List(Symbol)`pModularHermitePade``0
oglb`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``628696
oglb`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ognuDraw`3`x`(Expression(Float),SegmentBinding(Float),String)->Void`pGnuDraw``628955
ognuDraw`3`x`(List(DoubleFloat),List(DoubleFloat),String)->Void`pGnuDraw``629017
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String)->Void`pGnuDraw``629099
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``629169
ognuDraw`4`x`(List(DoubleFloat),List(DoubleFloat),String,List(DrawOption))->Void`pGnuDraw``629225
ognuDraw`5`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``629301
ogoodPoint`2`n`(List(UPUP),UPUP)->F`pChangeOfVariable(F,UP,UPUP)``629365
ogotoJump`1`n`(SingleInteger)->%`dFortranCode``629554
ogradeInvolution`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``629633
ograde`1`n`(%)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``629690
ograde`1`n`(%)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``629862
ograde`1`x`(%)->NonNegativeInteger`dCliffordAlgebra(n,K,bLin)``630112
ogradient`2`n`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``630232
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``630421
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``630578
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``630750
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``630914
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``631140
ographImage`0`n`()->%`dGraphImage``631571
ographState`14`n`(%,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``631756
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``632843
ographs`1`n`(%)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``633104
ographs`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``633444
ogreen`0`x`()->%`dColor``633617
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``633694
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``633991
ogroebner?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``634028
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``634123
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``634615
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``635193
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``635800
ogroebnerIdeal`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``636499
ogroebner`1`n`(List(%))->List(%)`dDistributedJetBundlePolynomial(R,JB,LJV,E)`has(R,GcdDomain)`636711
ogroebner`1`n`(List(%))->List(%)`dJetBundlePolynomial(R,JB)`has(R,GcdDomain)`636826
ogroebner`1`n`(List(Dpol))->List(Dpol)`pNGroebnerPackage(Dom,Expon,Dpol)``636953
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``637077
ogroebner`1`n`(List(P))->List(P)`pJetGroebner(R,JB,LJV,P,E)``637293
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``637400
ogroebner`1`x`(%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``637619
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``637725
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``637849
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``638304
oground?`1`n`(%)->Boolean`dJetBundleLinearFunction(JB,D)``638692
oground?`1`n`(%)->Boolean`dJetLazyFunction(JB,D)``638796
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`x`(%)->Boolean`cFiniteAbelianMonoidRing(R,E)``638891
oground?`1`x`(%)->Boolean`cFunctionSpace(R)``638982
oground`1`n`(%)->%`dJetBundleLinearFunction(JB,D)``639052
oground`1`n`(%)->Record(numer:Polynomial(Integer),denom:Polynomial(Integer))`dFakePolynomial``0
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`x`(%)->R`cFiniteAbelianMonoidRing(R,E)``639113
oground`1`x`(%)->R`cFunctionSpace(R)``639191
ogroupPresentation`0`n`()->%`dGroupPresentation``639318
ogroupPresentation`1`n`(List(NonNegativeInteger))->%`dGroupPresentation``639381
ogroupPresentation`2`n`(List(NonNegativeInteger),List(List(Integer)))->%`dGroupPresentation``639442
ogroup_terms`1`x`(List(Record(num:R,d_fact:R,d_exp:NonNegativeInteger)))->List(Record(num:R,d_fact:R,d_exp:NonNegativeInteger))`dPartialFraction(R)``639489
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)``639529
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)))`639759
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)``639964
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)``640158
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)``640396
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)``640586
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)``640882
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)))`641155
oguessBinRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``641394
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)))`641610
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)``641849
oguessBinRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``642065
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)))`642281
oguessExpRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``642512
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)))`642705
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)``642936
oguessExpRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``643141
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)``643346
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)``643575
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)``643768
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)))`644072
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)``644274
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)``644562
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)))`644835
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)``645101
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)``645358
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)``645691
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)``645956
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)))`646238
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)``646510
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)``646756
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)))`646944
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)``647108
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)``647260
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)``647453
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)``647611
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)``647907
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)``648170
ohMonic`1`n`(Dpol)->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``648205
ohadamard`2`n`(UnivariateFormalPowerSeries(Coef),UnivariateFormalPowerSeries(Coef))->UnivariateFormalPowerSeries(Coef)`pUnivariateFormalPowerSeriesFunctions(Coef)``0
ohalfExtendedResultant1`2`n`(%,%)->Record(resultant:R,coef1:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`648267
ohalfExtendedResultant2`2`n`(%,%)->Record(resultant:R,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`648411
ohalfExtendedSubResultantGcd1`2`n`(%,%)->Record(gcd:%,coef1:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`648555
ohalfExtendedSubResultantGcd1`2`x`(%,%)->Record(gcd:%,coef1:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`648711
ohalfExtendedSubResultantGcd2`2`n`(%,%)->Record(gcd:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`648889
ohalfExtendedSubResultantGcd2`2`x`(%,%)->Record(gcd:%,coef2:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`649045
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)``649223
ohandler`3`n`(%,Integer,String)->HANDLER`dOperatorHandlers(HANDLER)``649290
ohankelDeterminant`2`n`(Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``649443
ohankelDeterminants`1`n`(%)->Stream(R)`cDistributionCategory(R)``649551
ohankelH1`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``649659
ohankelH1`2`x`(%,%)->%`cSpecialFunctionCategory``649752
ohankelH2`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``649845
ohankelH2`2`x`(%,%)->%`cSpecialFunctionCategory``649943
ohankelIndices`1`n`(XDistributedPolynomial(VAR,F))->List(FreeMonoid(VAR))`pXDistributedPolynomialFunctions(VAR,F)``650041
ohankelMatrix`1`n`(XDistributedPolynomial(VAR,F))->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``650215
ohankelMatrix`2`n`(XDistributedPolynomial(VAR,F),VAR)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``650470
ohankelSystem`1`n`(XDistributedPolynomial(VAR,F))->Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``650710
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``650888
ohas?`2`x`(%,Symbol)->Boolean`dBasicOperator``650996
ohasDimension?`1`n`(%)->Boolean`dSimpleCell(TheField,ThePols)``651077
ohasDimension?`2`n`(%,Symbol)->Boolean`dCell(TheField)``651249
ohasHi`1`x`(%)->Boolean`dUniversalSegment(S)``651394
ohasPredicate?`1`n`(%)->Boolean`dPattern(R)``651472
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``651552
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``651644
ohasTopPredicate?`1`n`(%)->Boolean`dPattern(R)``651736
ohas_op?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``651815
ohashUpdate!`2`n`(HashState,%)->HashState`cHashable``651954
ohashUpdate!`2`n`(HashState,A)->HashState`xBinaryTreeCategory&(A,S)``0
ohashUpdate!`2`n`(HashState,A)->HashState`xLinearAggregate&(A,S)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xFinite&(S)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xFramedModule&(S,R)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xPolynomialCategory&(S,R,E,VarSet)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohash`1`n`(%)->SingleInteger`cHashable``652143
ohash`1`n`(S)->SingleInteger`xHashable&(S)``0
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``652202
ohcenter`1`n`(NonNegativeInteger)->(%)->%`dOutputBox``652447
ohclf`2`n`(%,%)->%`dFreeMonoid(S)``652538
ohconcat`1`n`(List(%))->%`dOutputBox``652716
ohconcat`1`n`(List(%))->%`dOutputForm``652836
ohconcat`2`n`(%,%)->%`dOutputForm``652915
ohcrf`2`n`(%,%)->%`dFreeMonoid(S)``652999
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``653178
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``653267
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``653355
oheadReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``653557
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``653794
oheadReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``653961
oheadReduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``654065
oheadReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``654192
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)`654323
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(%)->%`cDoublyLinkedAggregate(S)``654568
ohead`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``654684
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``654901
oheap`1`x`(List(S))->%`dHeap(S)``655024
oheight`1`n`(%)->NonNegativeInteger`cKernelCategory(S)``655115
oheight`1`n`(%)->NonNegativeInteger`dOutputBox``655178
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``655286
oheight`1`x`(%)->NonNegativeInteger`cExpressionSpace``655393
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``655687
ohensel_update`3`n`(U32Vector,Integer,%)->Void`dVectorIntegerReconstructor``656008
ohermiteH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``656085
ohermiteH`2`x`(%,%)->%`cSpecialFunctionCategory``656143
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``656200
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``656365
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``656636
ohessian`2`n`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``656717
ohexDigit?`1`x`(%)->Boolean`dCharacter``656905
ohexDigit`0`x`()->%`dCharacterClass``657039
ohex`1`x`(Fraction(Integer))->%`dHexadecimalExpansion``657161
ohigh`1`x`(%)->S`cSegmentCategory(S)``657237
ohilbert`1`n`(List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``657329
ohitherPlane`2`x`(%,Float)->Void`dThreeDimensionalViewport``657423
ohomo_fact`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``657605
ohomogeneous?`1`n`(%)->Boolean`dAntiSymm(R,lVar)``657698
ohomogeneous?`1`n`(%)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``657788
ohomogeneous`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``657898
ohomogeneous`1`x`(Union(PositiveInteger,Boolean))->%`dGuessOption``658029
ohomology0`0`n`()->%`dHomology``658388
ohomologyGroup`2`n`(Matrix(Integer),Matrix(Integer))->%`dHomology``658449
ohomology`1`n`(%)->List(Homology)`dChainComplex``658623
ohomology`1`n`(%)->List(Homology)`dDeltaComplex(VS)``658671
ohomology`1`n`(%)->List(Homology)`dFiniteCubicalComplex(VS)``658719
ohomology`1`n`(%)->List(Homology)`dFiniteSimplicialComplex(VS)``658767
ohomology`3`n`(List(List(Integer)),List(Integer),List(List(Integer)))->%`dHomology``658931
ohomologyc2`0`n`()->%`dHomology``658959
ohomologyz`0`n`()->%`dHomology``659024
ohomologyzc2`0`n`()->%`dHomology``659088
ohomologyzz`0`n`()->%`dHomology``659155
ohorizConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`1`x`(List(%))->%`cTwoDimensionalArrayCategory(R,Row,Col)``659221
ohorizConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``659358
ohorizJoin`2`n`(%,%)->%`dSparseEchelonMatrix(C,D)``659589
ohorizSplit`2`n`(%,C)->Record(Left:%,Right:%)`dSparseEchelonMatrix(C,D)``659757
ohorizSplit`2`n`(S,List(NonNegativeInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`x`(%,List(NonNegativeInteger))->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``659956
ohorizSplit`2`x`(%,PositiveInteger)->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``660165
ohp_solve`3`n`(List(Vector(SparseUnivariatePolynomial(Expression(Integer)))),List(NonNegativeInteger),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(Expression(Integer)))`pVectorHermitePadeSolver``660318
ohspace`1`n`(Integer)->%`dOutputForm``660436
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``660499
ohue`1`n`(Point(R))->R`pPointPackage(R)``660600
ohue`1`x`(%)->Color`dPalette``660923
ohue`1`x`(%)->Integer`dColor``661001
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``661077
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``661213
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ohypergeometricF`3`n`(List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`661349
ohypergeometricF`3`x`(List(%),List(%),%)->%`cSpecialFunctionCategory`has(%,RetractableTo(Integer))`661438
oiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``661527
oiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``661590
oiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``661648
oiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``661711
oiCompose`2`n`(%,%)->%`dInnerSparseUnivariatePowerSeries(Coef)``661769
oiExquo`3`n`(%,%,Boolean)->Union(%,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``661986
oiLambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``662168
oid_map`1`n`(Var)->Automorphism(R)`pPartialDifferentialOperatorHelper(R,Var)``0
oid`1`x`(A)->A`pMappingPackage1(A)``662228
oidealSimplify`1`n`(%)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``662260
oideal`1`n`(Vector(A))->%`dFractionalIdeal(R,F,UP,A)``662558
oideal`1`x`(%)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``662641
oideal`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``662719
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``662824
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``662991
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``663091
oidentification`2`n`(%,%)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``663248
oidentityMatrix`1`n`(NonNegativeInteger)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`663429
oidentitySquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``663520
oidentity`0`n`()->%`dSTransform(PT)``663579
oidentity`0`x`()->%`dDenavitHartenbergMatrix(R)``663663
oiexactQuo`2`n`(R,R)->R`xPolynomialSetCategory&(S,R,E,VarSet,P)``663717
oiexactQuo`2`n`(R,R)->R`xRecursivePolynomialCategory&(S,R,E,V)``663781
oiexactQuo`2`x`(R,R)->R`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`663845
oiexactQuo`2`x`(R,R)->R`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`663909
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``663973
oiiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``664134
oiiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``664198
oiiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``664257
oiiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``664321
oiiBesselI`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``664380
oiiBesselJ`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``664440
oiiBesselK`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``664500
oiiBesselY`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``664560
oiiBeta`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``664620
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``664677
oiiHypergeometricF`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``664735
oiiPolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``664803
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``664868
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``664924
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``664980
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``665037
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``665093
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``665150
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``665206
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``665263
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``665319
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``665376
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``665432
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``665489
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``665545
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``665602
oiiconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``665660
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``665722
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``665777
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``665833
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``665888
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``665944
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``665999
oiidigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``666055
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``666115
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``666173
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``666230
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``666285
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``666342
oiim2`1`n`(R)->Expression(Integer)`pGuessPolynomialFunctions(R)``666397
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``666436
oiipolygamma`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``666493
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``666555
oiiretractVar`1`n`(Kernel(Expression(Integer)))->Polynomial(R)`pGuessPolynomialFunctions(R)``666611
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``666650
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``666705
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``666761
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``666816
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``666872
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``666928
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``666984
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``667039
oimagE`1`x`(%)->R`cOctonionCategory(R)``667095
oimagI`1`x`(%)->R`cOctonionCategory(R)``667177
oimagI`1`x`(%)->R`cQuaternionCategory(R)``667259
oimagJ`1`x`(%)->R`cOctonionCategory(R)``667343
oimagJ`1`x`(%)->R`cQuaternionCategory(R)``667425
oimagK`1`x`(%)->R`cOctonionCategory(R)``667509
oimagK`1`x`(%)->R`cQuaternionCategory(R)``667591
oimag`1`x`(%)->R`cComplexCategory(R)``667675
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``667733
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``667832
oimagi`1`x`(%)->R`cOctonionCategory(R)``667931
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->%`cComplexCategory(R)``668003
oimagj`1`x`(%)->R`cOctonionCategory(R)``668061
oimagk`1`x`(%)->R`cOctonionCategory(R)``668133
oimplies`2`n`(%,%)->%`dILogic``668205
oimplies`2`x`(%,%)->%`dBoolean``668454
oimplies`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cPoset(S)``0
oimplies`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oin?`2`x`(%,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``668550
oinBounds?`3`n`(%,%,%)->Boolean`cSPointCategory``668640
oinDegree`2`n`(%,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``668786
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
oinGroundField?`1`x`(%)->Boolean`cExtensionField(F)``668887
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``668994
oinR?`1`n`(%)->Boolean`dPattern(R)``669393
oinRadical?`2`x`(DPoly,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``669488
oincFail`2`n`(String,List(OutputForm))->Void`pUnittestCount``669599
oincFatal`1`n`(String)->Void`pUnittestCount``669719
oincLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``669824
oincPass`0`n`()->Void`pUnittestCount``669941
oincTest`0`n`()->Void`pUnittestCount``670019
oincXfFail`0`n`()->Void`pUnittestCount``670086
oincXfFatal`1`n`(String)->Void`pUnittestCount``670177
oincXfLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``670242
oincXfPass`2`n`(String,List(OutputForm))->Void`pUnittestCount``670323
oinc`1`x`(%)->%`cIntegerNumberSystem``670476
oincidenceAlgebra`2`n`(Matrix(R),List(S))->%`dIncidenceAlgebra(R,S)``670519
oincidenceAlgebra`2`n`(Matrix(R),OneDimensionalArray(S))->%`dIncidenceAlgebra(R,S)``670631
oincidenceMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``670743
oincidenceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``671057
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``671242
oincr`1`x`(%)->Integer`cSegmentCategory(S)``671427
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`671582
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``671712
oincrementKthElement`2`n`(%,PositiveInteger)->Union(%,"failed")`dSetOfMIntegersInOneToN(m,n)``671905
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``672093
oindentFortLevel`1`n`(Integer)->Void`pFortranCodeTools``672275
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)``672308
oindexName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``672390
oindexName`1`x`(Symbol)->%`dGuessOption``672501
oindexToObject`2`n`(%,NonNegativeInteger)->S`cPoset(S)``672640
oindexToObject`2`n`(A,NonNegativeInteger)->S`xPoset&(A,S)``0
oindex`1`n`(%)->IS`dModuleMonomial(IS,E,ff)``672705
oindex`1`n`(%)->PositiveInteger`cJetBundleCategory``672742
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`x`(PositiveInteger)->%`cFinite``672811
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``673059
oindexes`1`n`(%)->List(List(NonNegativeInteger))`dSceneIFS(PT)``673161
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``673229
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``673387
oindices`1`n`(%)->OneDimensionalArray(S)`dIncidenceAlgebra(R,S)``673477
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`x`(%)->List(Index)`cIndexedAggregate(Index,Entry)``673548
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``673645
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``673745
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``673845
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``673941
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``674037
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``674271
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``674505
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``674773
oinfLex?`4`n`(%,%,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``675041
oinfRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinfRittWu?`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinfRittWu?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``675222
oinfRittWu?`2`x`(%,%)->Boolean`cTriangularSetCategory(R,E,V,P)``675403
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``675529
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``675627
oinf`1`x`(%)->R`cIntervalCategory(R)``675725
oinf`2`x`(%,%)->%`cOrderedAbelianMonoidSup``675779
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``675885
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``676021
oinfinite?`1`x`(%)->Boolean`dOnePointCompletion(R)``676158
oinfinite?`1`x`(%)->Boolean`dOrderedCompletion(R)``676216
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``676290
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``676438
oinfinity`0`x`()->%`dOnePointCompletion(R)``676551
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``676594
oinfix?`1`n`(%)->Boolean`dOutputForm``676637
oinfix`2`n`(%,List(%))->%`dOutputForm``676747
oinfix`3`n`(%,%,%)->%`dOutputForm``676891
oinfix`4`n`(String,Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``676979
oinfix`4`n`(String,Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``677285
oinfsum`1`n`(Stream(%))->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``677591
oini_rdata`2`n`(PA,MD)->PMD`cModularFactorizationOperations(PA,MMT,MD,PMD)``677733
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``677951
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``678006
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``678067
oinitial`0`n`()->%`cFiniteGraph(S)``678260
oinitial`0`n`()->A`xPoset&(A,S)``0
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(%)->%`cDifferentialPolynomialCategory(R,S,V,E)``678327
oinitializeGroupForWordProblem`1`x`(%)->Void`dPermutationGroup(S)``678479
oinitializeGroupForWordProblem`3`x`(%,Integer,Integer)->Void`dPermutationGroup(S)``678919
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``679376
oinitiallyReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``679588
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``679836
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``680079
oinitiallyReduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``680247
oinitiallyReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``680384
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(%)->List(P)`cTriangularSetCategory(R,E,V,P)``680586
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)``680688
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``681004
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``681117
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``681243
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)``681597
oinput`1`x`(%)->Union((List(InputForm))->InputForm,"failed")`dBasicOperator``681681
oinput`2`x`(%,(List(InputForm))->InputForm)->%`dBasicOperator``681795
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``682017
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``682083
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,%)->%`cBagAggregate(S)``682180
oinsert!`2`x`(S,%)->%`dBinarySearchTree(S)``682251
oinsert!`2`x`(S,%)->%`dBinaryTournament(S)``682351
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`(%,%,Integer)->%`cExtensibleLinearAggregate(S)``682450
oinsert!`3`x`(S,%,Integer)->%`cExtensibleLinearAggregate(S)``682562
oinsert!`3`x`(S,%,NonNegativeInteger)->%`cMultiDictionary(S)``682664
oinsertBottom!`2`x`(S,%)->S`cDequeueAggregate(S)``682775
oinsertMatch`3`n`(Pattern(R),S,%)->%`dPatternMatchResult(R,S)``682905
oinsertRoot!`2`x`(S,%)->%`dBinarySearchTree(S)``683071
oinsertRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dFreeDivisionAlgebra(VAR,F)``683174
oinsertRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``683410
oinsertTop!`2`x`(S,%)->S`cDequeueAggregate(S)``683731
oinsert`2`n`(List(D),%)->%`dJetDifferentialEquation(JB,D)``683967
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`(%,%,Integer)->%`cLinearAggregate(S)``684070
oinsert`3`x`(S,%,Integer)->%`cLinearAggregate(S)``684280
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`684471
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``684514
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(%)->S`cBagAggregate(S)``684565
ointBasis`1`n`(List(%))->%`dVectorSpaceBasis(R)``684630
ointBasis`1`n`(List(List(Vector(R))))->%`dVectorSpaceBasis(R)``684745
ointBasis`2`n`(%,%)->%`dVectorSpaceBasis(R)``684861
ointBasis`2`n`(List(Vector(R)),List(Vector(R)))->%`dVectorSpaceBasis(R)``684953
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)``685099
oint`1`n`(%)->%`dOutputForm``685139
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``685225
oint`2`n`(%,%)->%`dOutputForm``685337
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``685453
oint`3`n`(%,%,%)->%`dOutputForm``685538
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``685695
ointeg_df`2`n`(UPS,UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``685736
ointeg`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``685791
ointeger?`1`n`(%)->Boolean`dFortranScalarType``685843
ointeger?`1`n`(OutputForm)->Boolean`pOutputFormTools``685935
ointeger?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``686026
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``686109
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``686203
ointegerBound`1`n`(UP)->Integer`pPolynomialRationalRoots(F,UP)``686349
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``686495
ointegerPart`1`n`(%)->NonNegativeInteger`dSmallOrdinal``686599
ointeger`1`n`(OutputForm)->Integer`pOutputFormTools``686707
ointeger`1`x`(%)->Int`cSExpressionCategory(Str,Sym,Int,Flt)``686823
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``686947
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``687041
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(%)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``687108
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)``687183
ointegral?`2`x`(%,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``687275
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(%)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``687370
ointegralBasisAtInfinity`0`x`()->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``687458
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``687544
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``688402
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``689260
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``690110
ointegralBasis`0`x`()->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``690968
ointegralCoordinates`1`x`(%)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``691040
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``691251
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``691596
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``691712
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``691941
ointegralRepresents`2`x`(Vector(UP),UP)->%`cFunctionFieldCategory(F,UP,UPUP)``692166
ointegral`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``692338
ointegral`2`n`(F,F)->%`dIntegrationResult(F)``692552
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``692648
ointegral`2`n`(F,Symbol)->%`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`692780
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``692876
ointegral`2`x`(%,SegmentBinding(%))->%`cPrimitiveFunctionCategory``692965
ointegral`2`x`(%,Symbol)->%`cPrimitiveFunctionCategory``693106
ointegrateIfCan`2`n`(%,PositiveInteger)->Union(%,"failed")`cJetBundleCategory``693188
ointegrateIfCan`2`n`(S,PositiveInteger)->Union(S,"failed")`xJetBundleCategory&(S)``0
ointegrate_sols`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->Record(ltilde:LinearOrdinaryDifferentialOperator1(Fraction(UP)),r:Union(LinearOrdinaryDifferentialOperator1(Fraction(UP)),"failed"))`pRationalLODE(F,UP)``693313
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)``693395
ointegrate`1`n`(%)->%`cUnivariateSeriesWithRationalExponents(Coef,Expon)`has(Coef,Algebra(Fraction(Integer)))`693843
ointegrate`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`694032
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``694215
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`x`(%)->%`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`694284
ointegrate`2`n`(%,PositiveInteger)->%`cJetBundleCategory``694401
ointegrate`2`n`(%,Symbol)->%`cUnivariateSeriesWithRationalExponents(Coef,Expon)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`694532
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)))`694665
ointegrate`2`n`(%,Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`694854
ointegrate`2`n`(%,Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`695043
ointegrate`2`n`(%,Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`695237
ointegrate`2`n`(%,Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`695426
ointegrate`2`n`(%,Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`695615
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`695809
ointegrate`2`n`(Coef,Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``696073
ointegrate`2`n`(S,PositiveInteger)->S`xJetBundleCategory&(S)``0
ointegrate`2`x`(%,Symbol)->%`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`696178
ointegrate`2`x`(%,Var)->%`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`696342
ointegrate`2`x`(%,Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`696572
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``696761
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``696925
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)``697040
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)``697204
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`697368
ointegrate`2`x`(UPS,Distribution(R))->S`pDistributionPolynomialPackage(R,S,UPS)``697483
ointegrate`3`n`(%,Var,Coef)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`697614
ointegrate`3`x`(%,Symbol,Coef)->%`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`697770
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``697926
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)``698327
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)``698728
ointegt`1`n`(UTS)->UTS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``699129
ointensity`2`x`(%,Float)->Void`dThreeDimensionalViewport``699182
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``699380
ointernal?`1`n`(%)->Boolean`dSubSpace(n,R)``699678
ointernalAugment`2`x`(List(P),%)->%`cRegularTriangularSetCategory(R,E,V,P)``699719
ointernalAugment`2`x`(P,%)->%`cRegularTriangularSetCategory(R,E,V,P)``699884
ointernalAugment`7`x`(P,%,Boolean,Boolean,Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``699996
ointernalAugment`7`x`(P,%,Boolean,Boolean,Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``700126
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)``700256
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``700362
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``700468
ointernalIntegrate`2`n`(FG,Symbol)->IntegrationResult(FG)`pFunctionSpaceComplexIntegrationAux(G,FG)``700551
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``700677
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``700803
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``700888
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``701007
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``701141
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``701380
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``701619
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``701880
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``702136
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``702254
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``702372
ointerpolate`3`n`(List(D),List(D),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``702422
ointerpolate`3`n`(List(Fraction(D)),List(Fraction(D)),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``702809
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``702988
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpretString`1`n`(String)->Any`pTemplateUtilities``703043
ointerpret_in_new_env`1`n`(%)->Any`dInputForm``703154
ointerpret`1`n`(%)->Any`dInputForm``703289
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``703352
ointersect`1`x`(List(%))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``703476
ointersect`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ointersect`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`x`(%,%)->%`cSetAggregate(S)``703563
ointersect`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``703834
ointersect`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``703929
ointersect`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``704107
ointersect`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``704214
ointersect`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``704295
ointersection`1`n`(List(%))->%`dSBoundary(PT)``704378
ointerval`1`x`(Fraction(Integer))->%`cIntervalCategory(R)``704544
ointerval`1`x`(R)->%`cIntervalCategory(R)``704610
ointerval`2`n`(NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``704676
ointerval`2`x`(R,R)->%`cIntervalCategory(R)``704764
ointoMatrix`2`x`(List(P),List(OV))->Record(mat:Matrix(Fraction(P)),vec:Vector(Fraction(P)))`pLinearSystemPolynomialPackage(R,E,OV,P)``704907
oinv`1`n`(%)->%`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``705029
oinv`1`n`(%)->%`dModularRing(R,Mod,reduction,merge,exactQuo)``705064
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)``705099
oinv`1`x`(%)->%`cDivisionRing``705171
oinv`1`x`(%)->%`cGroup``705264
oinv`1`x`(%)->%`cOctonionCategory(R)`has(R,Field)`705318
oinv`1`x`(%)->%`dEquation(S)`has(S,Field)`705385
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``705454
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``706160
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``706396
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``706625
oinverse_cyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicUtilities``706835
oinverse`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``706965
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``707019
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``707087
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``707249
oinverse`1`x`(%)->Union(%,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`707469
oinverse`1`x`(%)->Union(%,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`707631
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`707763
oinvertALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``707916
oinvertIfCan`1`x`(%)->Union(%,"failed")`dMatrix(R)`has(R,IntegralDomain)`708043
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`708209
oinvertMIN`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``708284
oinvertSTD`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``708464
oinvertible?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``708620
oinvertible?`2`x`(P,%)->List(Record(val:Boolean,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``708742
oinvertibleElseSplit?`2`x`(P,%)->Union(Boolean,List(%))`cRegularTriangularSetCategory(R,E,V,P)``708963
oinvertibleSet`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``709160
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(%,%)->%`cIntegerNumberSystem``709340
oinvmultisect`3`n`(Integer,Integer,%)->%`dUnivariateFormalPowerSeries(Coef)``0
oinvmultisect`3`n`(Integer,Integer,%)->%`dUnivariateTaylorSeries(Coef,var,cen)``709433
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``709565
oiomode`1`x`(%)->String`cFileCategory(Name,S)``709682
oiota`0`n`()->Symbol`pMathematicalSymbols``709828
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``709893
oiprint`1`n`(String)->Void`pInternalPrintPackage``709948
oirootDep`1`x`(Kernel(F))->Union(vec:Vector(Fraction(Integer)),func:F,fail:Boolean)`pElementaryFunctionStructurePackage(R,F)``710027
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`710108
oirreducible?`1`n`(UP)->Boolean`pUnivariateFiniteFieldFactorize(F,UP)``710171
oirreducible?`2`n`(PA,MD)->Boolean`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``710235
oirreducible?`2`n`(PrimitiveArray(K),Record(i_mod:Integer,deg:Integer))->Boolean`pModularFactorizationK(K)``0
oirreducible?`2`n`(U32Vector,Integer)->Boolean`pModularFactorization``0
oirreducibleFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``710399
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`710562
oirreducibleRepresentation`1`x`(List(Integer))->List(Matrix(Integer))`pIrrRepSymNatPackage``710834
oirreducibleRepresentation`2`x`(List(Integer),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``711189
oirreducibleRepresentation`2`x`(List(Integer),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``711415
ois?`2`n`(%,BasicOperator)->Boolean`cKernelCategory(S)``711693
ois?`2`n`(%,Symbol)->Boolean`cKernelCategory(S)``711761
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`x`(%,BasicOperator)->Boolean`cExpressionSpace``711842
ois?`2`x`(%,Symbol)->Boolean`cExpressionSpace``711926
ois?`2`x`(%,Symbol)->Boolean`dBasicOperator``712027
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``712098
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``712225
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`712317
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`712453
oisAcyclic?`1`n`(%)->Boolean`cFiniteGraph(S)``712943
oisAcyclic?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisAntiChain?`1`n`(%)->Boolean`cPoset(S)``713013
oisAntisymmetric?`1`n`(%)->Boolean`cPoset(S)``713136
oisAntisymmetric?`1`n`(A)->Boolean`xPoset&(A,S)``0
oisBasis?`1`n`(List(Vector(R)))->Boolean`dVectorSpaceBasis(R)``713277
oisBoundNode?`1`n`(%)->Boolean`dLambda(UT)``713355
oisBox?`1`n`(%)->Boolean`dSBoundary(PT)``713426
oisChain?`1`n`(%)->Boolean`cPoset(S)``713505
oisCompound?`1`n`(%)->Boolean`dLambda(UT)``713617
oisDirectSuccessor?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``713707
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisDirected?`0`n`()->Boolean`cFiniteGraph(S)``713872
oisDirected?`0`n`()->Boolean`xFiniteGraph&(A,S)``714001
oisDirected?`0`n`()->Boolean`xPoset&(A,S)``0
oisEllipse?`1`n`(%)->Boolean`dSBoundary(PT)``714130
oisExpt`1`n`(%)->Union(Record(val:%,exponent:NonNegativeInteger),"failed")`dPattern(R)``714211
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``714323
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`x`(%)->Union(Record(var:Kernel(%),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`714430
oisExpt`1`x`(%)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`714515
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)`714628
oisExpt`2`x`(%,Symbol)->Union(Record(var:Kernel(%),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`714740
oisFixPoint?`2`n`(%,NonNegativeInteger)->Boolean`cFiniteGraph(S)``714850
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisFreeNode?`1`n`(%)->Boolean`dLambda(UT)``714929
oisFunctional?`1`n`(%)->Boolean`cFiniteGraph(S)``715002
oisFunctional?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisGreaterThan?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``715165
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisI?`1`n`(%)->Boolean`dSKICombinators(UT)``715367
oisK?`1`n`(%)->Boolean`dSKICombinators(UT)``715433
oisLambda?`1`n`(%)->Boolean`dLambda(UT)``715498
oisList`1`n`(%)->Union(List(%),"failed")`dPattern(R)``715571
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)`715683
oisNodeBranch?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``715770
oisNodeLeaf?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``715842
oisNull?`1`n`(%)->Boolean`dSBoundary(PT)``715934
oisOp`1`n`(%)->Union(Record(op:BasicOperator,arg:List(%)),"failed")`dPattern(R)``716029
oisOp`2`n`(%,BasicOperator)->Union(List(%),"failed")`dPattern(R)``716153
oisPlus`1`n`(%)->Union(List(%),"failed")`dPattern(R)``716275
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``716418
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`x`(%)->Union(List(%),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`716550
oisPlus`1`x`(%)->Union(List(%),"failed")`cPolynomialCategory(R,E,VarSet)``716651
oisPoint?`1`n`(%)->Boolean`cSPointCategory``716807
oisPointLeaf?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``716904
oisPower`1`n`(%)->Union(Record(val:%,exponent:%),"failed")`dPattern(R)``717025
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``717121
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`x`(%)->Union(Record(val:%,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`717229
oisQuotient`1`n`(%)->Union(Record(num:%,den:%),"failed")`dPattern(R)``717315
oisS?`1`n`(%)->Boolean`dSKICombinators(UT)``717414
oisSubsetOf?`2`n`(%,%)->Boolean`dOrientedFacet``717479
oisTimes`1`n`(%)->Union(List(%),"failed")`dPattern(R)``717605
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``717735
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`x`(%)->Union(List(%),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`717857
oisTimes`1`x`(%)->Union(List(%),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`717957
oisVector?`1`n`(%)->Boolean`cSPointCategory``718256
ois_symbol?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``718351
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(%)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``718465
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``718648
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``718725
ojacobi2poly`2`n`(Stream(R),Stream(R))->Stream(SparseUnivariatePolynomial(R))`pMomentPackage(R)``718877
ojacobiCn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``719024
ojacobiCn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``719195
ojacobiCn`2`x`(%,%)->%`cSpecialFunctionCategory``719312
ojacobiCn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``719483
ojacobiCn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``719547
ojacobiDn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``719611
ojacobiDn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``719784
ojacobiDn`2`x`(%,%)->%`cSpecialFunctionCategory``719901
ojacobiDn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``720074
ojacobiDn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``720138
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``720202
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``720412
ojacobiMatrix`1`n`(%)->List(SparseEchelonMatrix(JB,D))`dJetDifferentialEquation(JB,D)``720622
ojacobiMatrix`1`n`(List(%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``720725
ojacobiMatrix`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`2`n`(List(%),List(List(JB)))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``720825
ojacobiMatrix`2`n`(List(S),List(List(JB)))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiP`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``721054
ojacobiP`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``721120
ojacobiParameters`1`n`(%)->Record(an:Stream(Fraction(R)),bn:Stream(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`721185
ojacobiParameters`1`n`(%)->Record(an:Stream(R),bn:Stream(R))`cDistributionCategory(R)`has(R,Field)`721298
ojacobiPathArray`2`n`(Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``721411
ojacobiSn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``721589
ojacobiSn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``721733
ojacobiSn`2`x`(%,%)->%`cSpecialFunctionCategory``721850
ojacobiSn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``721994
ojacobiSn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``722058
ojacobiTheta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``722122
ojacobiTheta`2`x`(%,%)->%`cSpecialFunctionCategory``722205
ojacobiZeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``722288
ojacobiZeta`2`x`(%,%)->%`cSpecialFunctionCategory``722490
ojacobiZeta`2`x`(Float,Float)->Float`pFloatEllipticFunctions``722692
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``722753
ojacobian`2`n`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``723037
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``723236
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``723324
ojetVariables`1`n`(%)->List(JB)`cJetBundleFunctionCategory(JB)``723561
ojoinIfCan`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``723670
ojoinIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``723761
ojoinIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoin`1`n`(List(%))->%`dLatticeJoinOfMeets``724020
ojoin`1`n`(List(%))->%`dLatticeMeetOfJoins``724058
ojoin`2`n`(%,%)->%`dJetDifferentialEquation(JB,D)``724096
ojoin`2`n`(%,%)->%`dOrientedFacet``724197
ojoin`2`n`(%,%)->%`dSparseEchelonMatrix(C,D)``724344
ojoin`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cDcpo(S)``724426
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``724583
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``724875
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``725167
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``725527
okappa`0`n`()->Symbol`pMathematicalSymbols``725887
okaratsubaDivide`2`x`(%,NonNegativeInteger)->Record(quotient:%,remainder:%)`cUnivariatePolynomialCategory(R)`has(R,Ring)`725954
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``726054
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``726223
okelvinBei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``726582
okelvinBei`2`x`(%,%)->%`cSpecialFunctionCategory``726762
okelvinBer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``726940
okelvinBer`2`x`(%,%)->%`cSpecialFunctionCategory``727118
okelvinKei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``727296
okelvinKei`2`x`(%,%)->%`cSpecialFunctionCategory``727491
okelvinKer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``727686
okelvinKer`2`x`(%,%)->%`cSpecialFunctionCategory``727881
okernel`1`n`(Symbol)->%`cKernelCategory(S)``728076
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
okernel`2`x`(BasicOperator,%)->%`cExpressionSpace``728137
okernel`2`x`(BasicOperator,List(%))->%`cExpressionSpace``728221
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->%`cKernelCategory(S)``728328
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(Kernel(%))`cExpressionSpace``728529
okernels`1`x`(List(%))->List(Kernel(%))`cExpressionSpace``728695
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,%)->Boolean`cKeyedDictionary(Key,Entry)``728893
okey`1`n`(%)->Integer`dGraphImage``728966
okey`1`n`(%)->Integer`dTwoDimensionalViewport``729097
okey`1`x`(%)->Integer`dThreeDimensionalViewport``729255
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(%)->List(Key)`cKeyedDictionary(Key,Entry)``729417
okgraph`2`n`(List(S),String)->%`cFiniteGraph(S)``729483
okgraph`2`n`(List(S),String)->A`xPoset&(A,S)``0
okleinBottle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``729802
okleinBottle`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``729842
okleinBottle`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``729910
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``729984
oknownHandler?`3`n`(%,Integer,String)->Boolean`dOperatorHandlers(HANDLER)``730071
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``730390
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``730437
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``730761
okprod`1`x`(List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``731195
okprod`1`x`(List(Float))->Float`pFloatEllipticFunctions``731216
okroneckerDelta`0`x`()->%`dCartesianTensor(minix,dim,R)``731237
okroneckerProduct`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`731432
okroneckerProduct`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`731637
okroneckerSum`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)``731804
okroneckerSum`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)``731938
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)``732034
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``732074
okummerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``732196
okummerM`3`x`(%,%,%)->%`cSpecialFunctionCategory``732264
okummerU`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``732334
okummerU`3`x`(%,%,%)->%`cSpecialFunctionCategory``732402
olSpaceBasis`1`n`(%)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``732472
olabel`2`n`(%,%)->%`dOutputForm``732581
olagrange`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
olagrange`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``732657
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``732811
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``732941
olaguerreL`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``733115
olaguerreL`3`x`(%,%,%)->%`cSpecialFunctionCategory``733180
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``733244
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``733395
olambda`0`n`()->Symbol`pMathematicalSymbols``733675
olambda`1`n`(NonNegativeInteger)->%`dLambda(UT)``733744
olambda`1`n`(UT)->%`dLambda(UT)``733818
olambda`2`n`(%,%)->%`dLambda(UT)``733867
olambda`2`n`(%,List(Symbol))->%`dInputForm``733918
olambda`2`n`(%,UT)->%`dLambda(UT)``734101
olambertW0`1`n`(UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``734177
olambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``734273
olambertW`1`x`(%)->%`cSpecialFunctionCategory``734345
olambertW`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``734456
olambertW`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``734516
olambertW`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``734576
olambertW`1`x`(Float)->Float`pFloatSpecialFunctions``734636
olambert_inverse_series`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``734696
olambert_inverse_series`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``734716
olambert_inverse_series`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``734736
olambert_inverse_series`2`x`(Float,Float)->Float`pFloatSpecialFunctions``734756
olambert_via_newton1`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``734776
olambert_via_newton1`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``734796
olambert_via_newton1`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``734816
olambert_via_newton1`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``734836
olambert_via_newton2`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``734856
olambert_via_newton2`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``734876
olambert_via_newton2`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``734896
olambert_via_newton2`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``734916
olambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
olambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``734936
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``735303
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)``735612
olanden1`2`x`(Complex(Float),List(Complex(Float)))->List(Complex(Float))`pFloatEllipticFunctions``735962
olanden1`2`x`(Float,List(Float))->List(Float)`pFloatEllipticFunctions``735983
olanden2`3`x`(Complex(Float),List(Complex(Float)),Float)->List(Complex(Float))`pFloatEllipticFunctions``736004
olanden2`3`x`(Float,List(Float),Float)->List(Float)`pFloatEllipticFunctions``736025
olanden`2`x`(Complex(Float),Float)->List(Complex(Float))`pFloatEllipticFunctions``736046
olanden`2`x`(Float,Float)->List(Float)`pFloatEllipticFunctions``736067
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``736088
olaplacianMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``736360
olaplacianMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
olaplacian`2`n`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``736911
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`737056
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``737226
olastSubResultantElseSplit`3`x`(P,P,%)->Union(P,List(%))`cRegularTriangularSetCategory(R,E,V,P)``737388
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``737747
olastSubResultant`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`737903
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``738107
olastSubResultant`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`738211
olastSubResultant`3`x`(P,P,%)->List(Record(val:P,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``738448
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)``739140
olast`1`x`(%)->S`cUnaryRecursiveAggregate(S)``739255
olast`1`x`(%)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``739367
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)``739518
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(%)->String`cSetCategory``739658
olatticeJoinOfMeets`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->%`dLatticeJoinOfMeets``739742
olatticeMeetOfJoins`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->%`dLatticeMeetOfJoins``739786
olaurentIfCan`1`x`(%)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``739830
olaurentRep`1`x`(%)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``739985
olaurent`1`x`(%)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``740120
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``740253
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``740436
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)``740506
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``740621
olaurent`2`x`(Integer,Stream(Coef))->%`cUnivariateLaurentSeriesCategory(Coef)``740866
olaurent`2`x`(Integer,UTS)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``741053
olaurent`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``741113
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``741312
olaurent`4`n`((Integer)->R,Symbol,R,UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries1(R)``741486
olaurent`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`741687
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
olazy?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``741880
olazyEvaluate`1`x`(%)->%`cLazyStreamAggregate(S)``742048
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`742325
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`742405
olazyIntegrate`2`n`(Coef,()->Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``742502
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`742611
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``743039
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``743179
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)``743329
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)``743473
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``743632
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``743857
olazyPseudoDivide`2`n`(%,%)->Record(coef:R,gap:NonNegativeInteger,quotient:%,remainder:%)`dNewSparseUnivariatePolynomial(R)``744141
olazyPseudoDivide`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`2`x`(%,%)->Record(coef:%,gap:NonNegativeInteger,quotient:%,remainder:%)`cRecursivePolynomialCategory(R,E,V)``744371
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)``744580
olazyPseudoQuotient`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``744814
olazyPseudoRemainder`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``744941
olazyResidueClass`2`n`(%,%)->Record(polnum:%,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``745181
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`x`(%,%)->Record(polnum:%,polden:%,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``745470
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`745709
olc`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``745839
olcmCoef`2`n`(%,%)->Record(llcm_res:%,coeff1:%,coeff2:%)`cLeftOreRing``745877
olcmCoef`2`n`(S,S)->Record(llcm_res:S,coeff1:S,coeff2:S)`xGcdDomain&(S)``0
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(%))->%`cGcdDomain``746090
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(%,%)->%`cGcdDomain``746183
olcm`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``746269
olcx0`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->Record(lcx0lc:SparseMultivariatePolynomial(Integer,Symbol),lcx0m:SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``746401
olcz`2`n`(SparseMultivariatePolynomial(Integer,Symbol),Symbol)->Record(lczlc:SparseMultivariatePolynomial(Integer,Symbol),k:Integer)`pPrimGCD``746669
oldegree`2`n`(PT,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``746782
oldivide`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Record(quotient:XDistributedPolynomial(vl,F),remainder:XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``747063
ole`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cPreorder(S)``747326
ole`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(%)->V`cDifferentialPolynomialCategory(R,S,V,E)``747594
oleadingBasisTerm`1`n`(%)->%`dAntiSymm(R,lVar)``747768
oleadingBasisTerm`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``747871
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``747969
oleadingCoefficient`1`n`(%)->A`cIndexedProductCategory(A,S)`has(S,Comparable)`748327
oleadingCoefficient`1`n`(%)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``748510
oleadingCoefficient`1`n`(%)->R`cSolvableSkewPolynomialCategory(R,Expon)``748611
oleadingCoefficient`1`n`(%)->R`dAntiSymm(R,lVar)``748711
oleadingCoefficient`1`n`(%)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``748817
oleadingCoefficient`1`n`(%)->R`dLaurentPolynomial(R,UP)``748867
oleadingCoefficient`1`n`(A)->R`xFreeModuleCategory&(A,R,S)``0
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`x`(%)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``748914
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(%,V)->%`cRecursivePolynomialCategory(R,E,V)``749011
oleadingDer`1`n`(%)->JB`cJetBundleFunctionCategory(JB)``749164
oleadingDer`1`n`(S)->JB`xJetBundleFunctionCategory&(S,JB)``0
oleadingExponent`1`n`(%)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``749299
oleadingIdeal`1`x`(%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``749346
oleadingIndex`1`n`(%)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``749459
oleadingMonomial`1`n`(%)->%`cIndexedProductCategory(A,S)`has(S,Comparable)`749503
oleadingMonomial`1`n`(%)->%`cSolvableSkewPolynomialCategory(R,Expon)``749638
oleadingMonomial`1`n`(%)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``749729
oleadingMonomial`1`n`(A)->A`xFreeModuleCategory&(A,R,S)``0
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`x`(%)->%`cPowerSeriesCategory(Coef,Expon,Var)``749776
oleadingSupport`1`n`(%)->S`cIndexedProductCategory(A,S)`has(S,Comparable)`749859
oleadingSupport`1`n`(A)->S`xFreeModuleCategory&(A,R,S)``0
oleadingTerm`1`n`(%)->Record(k:S,c:A)`cIndexedProductCategory(A,S)`has(S,Comparable)`750028
oleaf?`1`n`(%)->Boolean`dSubSpace(n,R)``750181
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`x`(%)->Boolean`cRecursiveAggregate(S)``750218
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``750279
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``750534
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``750808
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)``750927
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``751001
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``751227
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``751453
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``751611
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``751981
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)``752351
oleftDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`752664
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`752872
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(%,%)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`753127
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)`753254
oleftFactorIfCan`2`x`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``753375
oleftFactor`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``753615
oleftFamily`1`n`(%)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``753768
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`753829
oleftIdentity`1`n`(%)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``754068
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`754132
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`754334
oleftMinimization`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``754568
oleftMult`2`n`(S,%)->%`dListMonoidOps(S,E,un)``754746
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``754874
oleftOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Group)`754972
oleftOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Monoid)`755029
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``755086
oleftPower`2`x`(%,PositiveInteger)->%`cMagma``755280
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`755474
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`755668
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``755764
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`756003
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``756242
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)`756408
oleftRecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``756628
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(%)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``756817
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)``756989
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`757293
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``757488
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``757684
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``757968
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)``758252
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``758466
oleftTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oleftTrim`2`x`(%,CharacterClass)->%`cStringAggregate``758559
oleftTrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`758739
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`758907
oleftUnits`0`n`()->Union(Record(particular:%,basis:List(%)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``759032
oleftUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnits`0`x`()->Union(Record(particular:%,basis:List(%)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`759155
oleftZero`1`x`(%)->%`dEquation(S)`has(S,AbelianGroup)`759279
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)``759336
oleft`1`n`(%)->%`dFreeMagma(VarSet)``759712
oleft`1`n`(%)->%`dLyndonWord(VarSet)``759842
oleft`1`n`(%)->%`dOutputForm``759973
oleft`1`x`(%)->%`cBinaryRecursiveAggregate(S)``760040
oleft`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``760086
oleft`2`n`(%,Integer)->%`dOutputForm``760159
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`760247
olegendreP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``760416
olegendreP`3`x`(%,%,%)->%`cSpecialFunctionCategory``760490
olegendreQ`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``760564
olegendreQ`3`x`(%,%,%)->%`cSpecialFunctionCategory``760638
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``760712
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``760988
olength`1`n`(%)->NonNegativeInteger`dFreeMonoid(S)``761344
olength`1`n`(%)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``761400
olength`1`n`(%)->PositiveInteger`dFreeMagma(VarSet)``761492
olength`1`n`(%)->PositiveInteger`dLyndonWord(VarSet)``761559
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``761626
olength`1`x`(%)->%`cIntegerNumberSystem``761737
olength`1`x`(%)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`761791
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``761902
olerchPhi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``761936
olerchPhi`3`x`(%,%,%)->%`cSpecialFunctionCategory``761999
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)``762062
oless?`2`x`(%,NonNegativeInteger)->Boolean`cAggregate``762166
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``762245
olevel`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``762449
oleviCivitaSymbol`0`x`()->%`dCartesianTensor(minix,dim,R)``762586
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``762820
olexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``763009
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``763639
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``764016
olexico`2`n`(%,%)->Boolean`dFreeMagma(VarSet)``764083
olexico`2`n`(%,%)->Boolean`dFreeMonoid(S)`has(S,OrderedSet)`764386
olexico`2`n`(%,%)->Boolean`dLyndonWord(VarSet)``764556
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``764726
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``764891
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``764964
olhs`1`n`(%)->S1`dSuchThat(S1,S2)``765191
olhs`1`x`(%)->F`dRewriteRule(Base,R,F)``765246
olhs`1`x`(%)->S`dEquation(S)``765316
oli2`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``765390
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)``765437
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``765504
oli`1`x`(%)->%`cLiouvillianFunctionCategory``765564
oli`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``765693
oli`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oli`1`x`(Float)->Float`pFloatLiouvilianFunctions``765753
olibrary`1`x`(FileName)->%`dLibrary``765813
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``765867
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``766074
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``766281
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``766611
olie`2`n`(%,%)->%`dJetVectorField(JB,D)``766941
olie`2`n`(JetVectorField(JB,D),%)->%`dJetDifferential(JB,D)``767079
olift`1`n`(%)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``767175
olift`1`n`(%)->Rep`dModMonic(R,Rep)``767267
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`x`(%)->UP`cMonogenicAlgebra(R,UP)``767323
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``767425
olift`8`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),SparseUnivariatePolynomial(R),P,List(OV),List(NonNegativeInteger),List(R),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateSquareFree(E,OV,R,P)``767466
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),(List(SparseUnivariatePolynomial(R)))->Union((SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed"),"failed"))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``767501
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)`768029
olight`1`x`(Color)->%`dPalette``768332
olighting`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``768424
olimitPart`1`n`(%)->%`dSmallOrdinal``768694
olimitPlus`1`n`(%)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``768838
olimitPlus`1`n`(%)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``768913
olimit`2`n`(%,NonNegativeInteger)->Loop`dFunctionGraph(S)``768990
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)``769131
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)``769218
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)``769345
olimit`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Loop`dMultifunctionGraph(S)``769472
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``769613
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``769816
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``770087
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``770125
olin_comb!`3`n`(Vector(F),Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``770272
olin_comb`2`n`(Vector(F),List(F))->F`pLinearCombinationUtilities(F,UP)``770535
olin_comb`2`n`(Vector(F),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``770750
olin_comb`2`n`(Vector(F),List(LaurentPolynomial(F,UP)))->LaurentPolynomial(F,UP)`pLinearCombinationUtilities(F,UP)``770965
olin_comb`2`n`(Vector(F),List(UP))->UP`pLinearCombinationUtilities(F,UP)``771180
olin_comb`2`n`(Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``771395
olin_comb`2`n`(Vector(Fraction(Integer)),List(F))->F`pLinearCombinationUtilities(F,UP)``771619
olin_comb`2`n`(Vector(Fraction(Integer)),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``771834
olin_sol`2`n`(List(F),List(Symbol))->Union(List(F),"failed")`pExpressionLinearSolve(R,F)``772049
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``772202
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``772306
olineIntersect`2`n`(%,PT)->PT`dSBoundary(PT)``772432
oline`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``772693
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``772747
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(%,SparseUnivariatePolynomial(F))->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`772874
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(%)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`773549
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)`773703
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(%)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`773943
olinearDependenceOverConstants`2`n`(Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``774099
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``774357
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``774604
olinearExtend`2`n`((List(B))->M2,TensorPower(n,R,B,M1))->M2`pTensorPowerFunctions2(n,R,B,M1,M2)``774840
olinearExtend`2`x`((S)->M2,M1)->M2`pFreeModuleFunctions2(R,S,M1,M2)``774993
olinearExtend`2`x`((S)->R,%)->R`cFreeModuleCategory(R,S)`has(R,CommutativeRing)`775134
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``775262
olinearSearch`2`n`(S,(S)->Boolean)->Union(S,"failed")`pSortedCache(S)``775430
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``775679
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``775717
olinearization`1`n`(%)->Matrix(%)`dFreeDivisionAlgebra(VAR,F)``775760
olinearization`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``775916
olinearize`1`n`(List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta))))->List(JetBundleLinearFunction(JetBundleSymAna(JB1,xi,eta),JetBundleXExpression(JetBundleSymAna(JB1,xi,eta))))`pSymmetryAnalysis(JB1,xi,eta)``775994
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``776129
olinearlyDependentOverConstants?`2`n`(Vector(F),List((F)->F))->Boolean`pConstantLinearDependence(R,F)``776291
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``776473
olines`1`n`(%)->List(String)`dOutputBox``776644
olink`2`n`(%,%)->List(PT)`dSBoundary(PT)``776764
olink`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``777008
olink`2`n`(NonNegativeInteger,NonNegativeInteger)->%`dDeltaComplex(VS)``777137
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``777179
olist?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``777254
olistBranches`1`x`(%)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``777335
olistBranches`1`x`(%)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``777451
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)``777567
olistLoops`1`n`(%)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``777819
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)``777936
olistOfLists`1`x`(%)->List(List(R))`cTwoDimensionalArrayCategory(R,Row,Col)``778025
olistOfLists`1`x`(%)->List(List(S))`dTableau(S)``778113
olistOfMonoms`1`n`(%)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``778189
olistOfTerms`1`n`(%)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``778271
olistOfTerms`1`n`(%)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``778370
olistOfTerms`1`x`(%)->List(Record(k:S,c:A))`cIndexedDirectProductCategory(A,S)``778448
olistRepresentation`1`x`(%)->Record(preimage:List(S),image:List(S))`dPermutation(S)``778674
olistYoungTableaus`1`x`(List(Integer))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``779042
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->%`cListAggregate(S)``779511
olists`1`n`(%)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``779575
olllip`1`x`(%)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``779644
olllp`1`x`(%)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``779914
ollprop`1`x`(%)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``780172
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``780428
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``780629
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``780830
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``781717
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``782610
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``783495
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``784388
olog10`0`x`()->%`dFloat``784448
olog10`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``784516
olog10`1`x`(%)->%`dDoubleFloat``784594
olog10`1`x`(%)->%`dFloat``784667
olog1`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``784738
olog2`0`x`()->%`dFloat``784944
olog2`1`x`(%)->%`dDoubleFloat``785030
olog2`1`x`(%)->%`dFloat``785101
ologDependenceQ`2`n`(List(Fraction(Integer)),Fraction(Integer))->Union(Vector(Fraction(Integer)),"failed")`pMultiplicativeDependence``785170
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
ologGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``785331
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ologGamma`1`x`(Float)->Float`pFloatSpecialFunctions``785396
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``785461
olog_plus_1`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatElementaryFunctions``785548
olog`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``785623
olog`1`n`(%)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``785690
olog`1`n`(F)->F`pElementaryFunction(R,F)``785746
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``785810
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)``785966
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``786024
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``786082
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``786153
olog`1`x`(%)->%`cElementaryFunctionCategory``786226
olog`2`n`(%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`786469
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``786563
ologextint`3`n`(Symbol,List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer))))`pParametricIntegration(R,F)``786652
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)``786851
ologicF`0`n`()->%`dILogic``787089
ologicF`0`n`()->%`dLatticeJoinOfMeets``787148
ologicF`0`n`()->%`dLatticeMeetOfJoins``787215
ologicT`0`n`()->%`dILogic``787282
ologicT`0`n`()->%`dLatticeJoinOfMeets``787324
ologicT`0`n`()->%`dLatticeMeetOfJoins``787367
ological?`1`n`(%)->Boolean`dFortranScalarType``787410
ologpart`1`n`(%)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``787502
olommelS1`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``787582
olommelS1`3`x`(%,%,%)->%`cSpecialFunctionCategory``787653
olommelS2`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``787724
olommelS2`3`x`(%,%,%)->%`cSpecialFunctionCategory``787795
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)``787866
olookup`1`x`(%)->PositiveInteger`cFinite``787939
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``788027
oloop`1`n`(List(NonNegativeInteger))->%`dLoop``788503
oloopsArrows`1`n`(%)->List(Loop)`cFiniteGraph(S)``788580
oloopsArrows`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsAtNode`2`n`(%,NonNegativeInteger)->List(Loop)`cFiniteGraph(S)``788939
oloopsAtNode`2`n`(A,NonNegativeInteger)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsNodes`1`n`(%)->List(Loop)`cFiniteGraph(S)``789047
oloopsNodes`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
olooseEquals`2`n`(%,%)->Boolean`cFiniteGraph(S)``789207
olooseEquals`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
olooseEquals`2`n`(A,A)->Boolean`xPoset&(A,S)``0
olow`1`x`(%)->S`cSegmentCategory(S)``789603
olowerCase!`1`x`(%)->%`cStringAggregate``789692
olowerCase?`1`x`(%)->Boolean`dCharacter``789796
olowerCase`0`x`()->%`dCharacterClass``789907
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(%)->%`cStringAggregate``790031
olowerCase`1`x`(%)->%`dCharacter``790112
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``790283
olowerSet`1`n`(%)->%`cPoset(S)``790435
olp`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``790577
olprop`1`x`(%)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``790873
olquo`2`n`(%,%)->Union(%,"failed")`dFreeMonoid(S)``791075
olquo`2`n`(%,S)->Union(%,"failed")`dFreeMonoid(S)``791269
olquo`2`x`(%,%)->%`cXFreeAlgebra(vl,R)``791353
olquo`2`x`(%,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``791437
olquo`2`x`(%,vl)->%`cXFreeAlgebra(vl,R)``791530
olquo`2`x`(XRecursivePolynomial(VarSet,R),%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``791627
olub`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``791711
olub`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
olyndon?`1`n`(FreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``791957
olyndonIfCan`1`n`(FreeMonoid(VarSet))->Union(%,"failed")`dLyndonWord(VarSet)``792017
olyndon`1`n`(FreeMonoid(VarSet))->%`dLyndonWord(VarSet)``792083
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`cJetBundleCategory``792186
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`xJetBundleCategory&(S)``792257
om_inverse`4`n`(Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Integer)->Union(Polynomial(Integer),"failed")`dModularAlgebraicGcdTools3``792328
omainCharacterization`1`x`(%)->Union(RightOpenIntervalRootCharacterization(%,SparseUnivariatePolynomial(%)),"failed")`dRealClosure(TheField)``792446
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``792540
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`792821
omainDefiningPolynomial`1`x`(%)->Union(SparseUnivariatePolynomial(%),"failed")`cRealClosedField``793030
omainForm`1`x`(%)->Union(OutputForm,"failed")`cRealClosedField``793141
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``793215
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``793385
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``793588
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`793856
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`794078
omainValue`1`x`(%)->Union(SparseUnivariatePolynomial(%),"failed")`cRealClosedField``794303
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``794410
omainVariableOf`1`n`(%)->Symbol`dCell(TheField)``794534
omainVariable`1`n`(%)->Union(VarSet,"failed")`cMaybeSkewPolynomialCategory(R,E,VarSet)``794600
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``794800
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``794959
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(%)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``795118
omakeCell`1`n`(List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField))))->%`dCell(TheField)``795262
omakeCell`2`n`(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)),%)->%`dCell(TheField)``795340
omakeCos`2`x`(E,R)->%`dFourierSeries(R,E)``795466
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``795555
omakeDisjoint`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``795592
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``795718
omakeFEq`6`n`(BasicOperator,Symbol,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``795838
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger))))->Factored(UP)`pGaloisGroupFactorizer(UP)``796157
omakeFR`2`x`(R,List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger)))->%`dFactored(R)``796264
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``796363
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``796625
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->%`dGraphImage``796953
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->%`dGraphImage``797191
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->%`dGraphImage``797648
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->%`dListMonoidOps(S,E,un)``798168
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``798252
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``798536
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``798820
omakeObject`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``799141
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``799373
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``799726
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``800003
omakeObject`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``800304
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``800543
omakeObject`3`x`(ParametricComplexCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``800883
omakeObject`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``800981
omakeObject`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``801258
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``801545
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``801898
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``802318
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``802690
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``803123
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``803499
omakeObject`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``803888
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``804099
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``804530
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``804990
omakeRec`5`n`(BasicOperator,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``805522
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``806023
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->%`dPatternMatchListResult(R,S,L)``806213
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(%)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``806300
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->%`dInnerSparseUnivariatePowerSeries(Coef)``806427
omakeSin`2`x`(E,R)->%`dFourierSeries(R,E)``806548
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->%`dPlaneAlgebraicCurvePlot``806637
omakeSystem`1`n`(List(D))->%`dJetDifferentialEquation(JB,D)``807538
omakeTerm`2`n`(S,E)->%`dListMonoidOps(S,E,un)``807615
omakeUnit`0`n`()->%`dListMonoidOps(S,E,un)``807750
omakeVariable`1`n`(A)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`x`(%)->(NonNegativeInteger)->%`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`807817
omakeVariable`1`x`(S)->(NonNegativeInteger)->%`cDifferentialPolynomialCategory(R,S,V,E)``808145
omakeVariable`2`x`(S,NonNegativeInteger)->%`cDifferentialVariableCategory(S)``808468
omakeViewport2D`1`n`(%)->%`dTwoDimensionalViewport``808610
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->%`dTwoDimensionalViewport``808832
omakeViewport3D`1`x`(%)->%`dThreeDimensionalViewport``809182
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->%`dThreeDimensionalViewport``809408
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->%`dThreeDimensionalViewport``809744
omakeYoungTableau`2`x`(List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``809989
omake_imaginary_part_function`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``810273
omake_real_part_function`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``810552
omakeop`2`n`(R,FreeGroup(BasicOperator))->%`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->%`dModuleOperator(R,M)``810826
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``810879
omantissa`1`n`(%)->Integer`dMachineFloat``810967
omantissa`1`x`(%)->Integer`cFloatingPointSystem``811026
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)``811091
omap!`2`x`((S)->S,%)->%`cHomogeneousAggregate(S)`has(%,shallowlyMutable)`811187
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``811287
omapContra`5`n`(%,List(NonNegativeInteger),List(S),Integer,Integer)->%`cFiniteGraph(S)``811401
omapContra`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omapDown!`3`x`(%,S,(S,S)->S)->%`dBalancedBinaryTree(S)``811533
omapDown!`3`x`(%,S,(S,S,S)->List(S))->%`dBalancedBinaryTree(S)``811977
omapExpon`2`n`((E)->E,%)->%`dListMonoidOps(S,E,un)``812575
omapExpon`2`n`((Integer)->Integer,%)->%`dFreeGroup(S)``812662
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,%)->%`dFreeMonoid(S)``812749
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,%)->%`cFiniteAbelianMonoidRing(R,E)``812836
omapGen`2`n`((S)->S,%)->%`dFreeGroup(S)``812965
omapGen`2`n`((S)->S,%)->%`dFreeMonoid(S)``813050
omapGen`2`n`((S)->S,%)->%`dListMonoidOps(S,E,un)``813135
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``813220
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``813392
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``813558
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``813663
omapUp!`2`x`(%,(S,S)->S)->S`dBalancedBinaryTree(S)``813768
omapUp!`3`x`(%,%,(S,S,S,S)->S)->%`dBalancedBinaryTree(S)``814093
omap_preserving`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``814568
omap`2`n`((A)->A,%)->%`cIndexedProductCategory(A,S)``814757
omap`2`n`((A)->B,MA)->MB`pTwoDimensionalArrayFunctions(A,RA,CA,MA,B,RB,CB,MB)``814907
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)``815047
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),%)->Union(%,"failed")`dFakePolynomial``0
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->%`dFakePolynomial``0
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``815156
omap`2`n`((R)->R,%)->%`dAntiSymm(R,lVar)``815198
omap`2`n`((R)->R,%)->%`dXPolynomialRing(R,E)``815293
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)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``815392
omap`2`n`((R1)->R2,A1)->A2`pFiniteAbelianMonoidRingFunctions2(E,R1,A1,R2,A2)``815527
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``815651
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)``815747
omap`2`x`((%)->%,Kernel(%))->%`cExpressionSpace``815787
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``815892
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``816034
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``816154
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``816250
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``816434
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``816621
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``816783
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``816958
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``817065
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``817282
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``817424
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``817585
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``817625
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``817665
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``817705
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``817827
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``817936
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``818045
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``818087
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``818196
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)``818237
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``818279
omap`2`x`((R)->R,%)->%`cFullyEvalableOver(R)``818321
omap`2`x`((R)->R,%)->%`cRectangularMatrixCategory(m,n,R,Row,Col)``818416
omap`2`x`((R)->R,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``818527
omap`2`x`((R)->R,%)->%`cXFreeAlgebra(vl,R)``818633
omap`2`x`((R)->R,%)->%`dFactored(R)``818732
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``819009
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``819108
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``819302
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``819385
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``819472
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``819747
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``819927
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``820018
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``820134
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``820307
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``820347
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``820636
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``820760
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``820907
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`821000
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``821231
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``821301
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``821380
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``821515
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`821650
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``821741
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``821848
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``821930
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``821972
omap`2`x`((R1)->R2,M1)->M2`pFreeModuleCoefficientFunctions2(R1,R2,S,M1,M2)``822014
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``822103
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``822199
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``822295
omap`2`x`((R1)->R2,Sequence(R1))->Sequence(R2)`pSequenceFunctions2(R1,R2)``822335
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``822415
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``822511
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``822674
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``822836
omap`2`x`((S)->S,%)->%`cHomogeneousAggregate(S)``822928
omap`2`x`((S)->S,%)->%`dEquation(S)``823099
omap`2`x`((S)->S,%)->%`dInfiniteTuple(S)``823196
omap`2`x`((S)->S,%)->L`cSegmentExpansionCategory(S,L)``823279
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``823504
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)``823633
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)``823774
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``824083
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``824128
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``824173
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``824610
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``824655
omap`3`x`((Entry,Entry)->Entry,%,%)->%`cTableAggregate(Key,Entry)``824928
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``825177
omap`3`x`((R,R)->R,%,%)->%`cRectangularMatrixCategory(m,n,R,Row,Col)``825298
omap`3`x`((R,R)->R,%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``825452
omap`3`x`((S,S)->S,%,%)->%`cLinearAggregate(S)``825576
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)``825786
omap`4`x`((R,R)->R,%,%,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``825960
omap`5`n`(%,List(NonNegativeInteger),List(S),Integer,Integer)->%`cFiniteGraph(S)``826322
omap`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omapall`2`x`((R1)->R2,Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``826724
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`826819
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``826917
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(%)->%`cIntegerNumberSystem``827016
omatch?`3`x`(%,%,Character)->Boolean`cStringAggregate``827083
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``827274
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``827680
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``828055
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``828419
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``828797
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``829191
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``829570
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``829662
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``829905
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``829997
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``830237
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``830329
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``830570
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``830662
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``830903
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``830995
omatrixConcat3D`3`n`(Symbol,%,%)->%`dThreeDimensionalMatrix(R)``831236
omatrixDimensions`1`n`(%)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``831338
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``831407
omatrix`1`n`(%)->Matrix(R)`dIncidenceAlgebra(R,S)``831586
omatrix`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``831666
omatrix`1`n`(List(List(%)))->%`dOutputForm``831733
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`x`(%)->SquareMatrix(n,K)`dQuadraticForm(n,K)``831843
omatrix`1`x`(List(List(R)))->%`cMatrixCategory(R,Row,Col)``831927
omatrix`1`x`(List(List(R)))->%`cRectangularMatrixCategory(m,n,R,Row,Col)``832073
omatrix`2`n`(%,FreeMonoid(VAR))->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``832219
omatrix`2`n`(%,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``832328
omatrix`2`n`(String,String)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``832412
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)``832578
omaxColIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``832700
omaxColIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``832792
omaxDegree`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``832882
omaxDegree`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``832939
omaxDerivative`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``833286
omaxDerivative`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``833351
omaxIndex`1`n`(%)->NonNegativeInteger`dFiniteCubicalComplex(VS)``833518
omaxIndex`1`n`(%)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``833549
omaxIndex`1`n`(%)->NonNegativeInteger`dOrientedFacet``833580
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`x`(%)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`833609
omaxLevel`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``833798
omaxLevel`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``833853
omaxMixedDegree`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``834053
omaxMixedDegree`1`x`(NonNegativeInteger)->%`dGuessOption``834120
omaxPoints3D`0`n`()->Integer`dPlot3D``834459
omaxPoints`0`n`()->Integer`dPlot``834535
omaxPoints`0`x`()->Integer`pGraphicsDefaults``834608
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``834682
omaxPower`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``834753
omaxPower`1`x`(Union(PositiveInteger,"arbitrary"))->%`dGuessOption``834808
omaxPrecedence`0`n`()->Integer`cFormatterCategory``835109
omaxPrecedence`0`n`()->Integer`xFormatterCategory&(S)``835179
omaxRowIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``835249
omaxRowIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``835338
omaxShift`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``835425
omaxShift`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``835480
omaxSubst`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``835619
omaxSubst`1`x`(Union(PositiveInteger,"arbitrary"))->%`dGuessOption``835674
omax`0`x`()->%`cFloatingPointSystem`AND(not(has(%,arbitraryExponent)),not(has(%,arbitraryPrecision)))`836034
omax`0`x`()->%`dSingleInteger``836097
omax`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``836153
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`x`(%)->S`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`836338
omax`1`x`(%)->S`cPriorityQueueAggregate(S)``836424
omax`2`n`(%,%)->%`cSPointCategory``836501
omax`2`n`(%,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``836778
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`x`(%,%)->%`cOrderedSet``836982
omax`2`x`((S,S)->Boolean,%)->S`cHomogeneousAggregate(S)`has(%,finiteAggregate)`837076
omaxdeg`1`n`(%)->E`dXPolynomialRing(R,E)``837217
omaxdeg`1`x`(%)->FreeMonoid(vl)`cXPolynomialsCat(vl,R)``837375
omaximumExponent`0`n`()->Integer`dMachineFloat``837461
omaximumExponent`1`n`(Integer)->Integer`dMachineFloat``837535
omaxint`0`n`()->PositiveInteger`dMachineInteger``837619
omaxint`1`n`(PositiveInteger)->PositiveInteger`dMachineInteger``837683
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)``837757
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)``837839
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(%)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``837922
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`838119
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`839146
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`839552
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`839736
omedialSet`1`x`(List(P))->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``840798
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``840905
omeetIfCan`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``841466
omeetIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``841557
omeetIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeet`1`n`(List(%))->%`dLatticeJoinOfMeets``841816
omeet`1`n`(List(%))->%`dLatticeMeetOfJoins``841854
omeet`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cCoDcpo(S)``841892
omeijerG`5`n`(List(F),List(F),List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`842051
omeijerG`5`x`(List(%),List(%),List(%),List(%),%)->%`cSpecialFunctionCategory`has(%,RetractableTo(Integer))`842125
omeixnerM`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``842199
omeixnerM`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``842267
omember?`2`n`(PositiveInteger,%)->Boolean`dSetOfMIntegersInOneToN(m,n)``842334
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)``842438
omember?`2`x`(Permutation(S),%)->Boolean`dPermutationGroup(S)``842537
omember?`2`x`(S,%)->Boolean`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`842659
omembers`1`n`(%)->List(P)`dFiniteMoebiusFunction(P)``842889
omembers`1`n`(%)->List(P)`dGeneralizedFiniteMoebiusFunction(P,R)``842952
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`x`(%)->List(S)`cHomogeneousAggregate(S)`has(%,finiteAggregate)`843015
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)`843187
omerge!`2`x`(%,%)->%`cPriorityQueueAggregate(S)``843279
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)``843408
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)``843511
omergeFactors`2`x`(%,%)->%`dFactored(R)``843696
omerge_exponents`5`n`(Integer,Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->List(List(Integer))`pInnerModularHermitePade``0
omerge`1`n`(List(%))->%`dSubSpace(n,R)``844019
omerge`1`x`(List(%))->%`cThreeSpaceCategory(R)``844098
omerge`2`n`(%,%)->%`cFiniteGraph(S)``844292
omerge`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``844485
omerge`2`n`(%,%)->%`dSubSpace(n,R)``844533
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`x`(%,%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`844625
omerge`2`x`(%,%)->%`cPriorityQueueAggregate(S)``844752
omerge`2`x`(%,%)->%`cThreeSpaceCategory(R)``844883
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)`845061
omesh?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``845667
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``845881
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``845946
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``846015
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``846075
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``846141
omesh`1`x`(%)->List(List(Point(R)))`cThreeSpaceCategory(R)``846216
omesh`1`x`(List(List(Point(R))))->%`cThreeSpaceCategory(R)``846478
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``846705
omesh`4`x`(%,List(List(List(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``847441
omesh`4`x`(%,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->%`cThreeSpaceCategory(R)``848352
omesh`4`x`(%,List(List(Point(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``848906
omesh`4`x`(%,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->%`cThreeSpaceCategory(R)``849677
omessagePrint`1`n`(String)->Void`dOutputForm``850051
omessage`1`n`(String)->%`dOutputForm``850191
omfactor`2`n`(PA,MD)->List(PA)`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``850276
omfactor`2`n`(PrimitiveArray(K),Record(i_mod:Integer,deg:Integer))->List(PrimitiveArray(K))`pModularFactorizationK(K)``0
omfactor`2`n`(U32Vector,Integer)->List(U32Vector)`pModularFactorization``0
omiddle`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``850488
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``850559
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``850636
omightHaveRoots`2`x`(ThePolDom,%)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``850741
ominColIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``850817
ominColIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``850910
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``851001
ominIndex`1`n`(%)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``851039
ominIndex`1`n`(%)->NonNegativeInteger`dOrientedFacet``851070
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`x`(%)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`851099
ominPoints3D`0`n`()->Integer`dPlot3D``851286
ominPoints`0`n`()->Integer`dPlot``851362
ominPoints`0`x`()->Integer`pGraphicsDefaults``851435
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``851509
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``851580
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``851615
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`851650
ominPoly`1`x`(Kernel(%))->SparseUnivariatePolynomial(%)`cExpressionSpace`has(%,Ring)`851720
ominPrecedence`0`n`()->Integer`cFormatterCategory``851789
ominPrecedence`0`n`()->Integer`xFormatterCategory&(S)``851857
ominRowIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``851925
ominRowIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``852015
ominShift`1`n`(List(T))->List(T)`pListPackage(T)`has(T,OrderedSet)`852103
omin`0`x`()->%`cFloatingPointSystem`AND(not(has(%,arbitraryExponent)),not(has(%,arbitraryPrecision)))`852204
omin`0`x`()->%`dSingleInteger``852267
omin`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``852324
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`x`(%)->S`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`852502
omin`1`x`(%)->S`cOrderedMultisetAggregate(S)``852588
omin`2`n`(%,%)->%`cSPointCategory``852672
omin`2`n`(%,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``852951
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`x`(%,%)->%`cOrderedSet``853148
omindegTerm`1`x`(%)->Record(k:FreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``853242
omindeg`1`n`(%)->E`dXPolynomialRing(R,E)``853319
omindeg`1`x`(%)->FreeMonoid(vl)`cXFreeAlgebra(vl,R)``853477
ominimal?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``853573
ominimalMatrix`2`n`(Matrix(F),NonNegativeInteger)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``853641
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)``853769
ominimalPolynomial`1`x`(%)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`853887
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(%,PositiveInteger)->SparseUnivariatePolynomial(%)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`853966
ominimalRepresentation`1`n`(XDistributedPolynomial(VAR,F))->Record(alpha:Matrix(F),mu:List(Matrix(F)),var:List(VAR),beta:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``854126
ominimize`1`n`(%)->%`dFractionalIdeal(R,F,UP,A)``854344
ominimize`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``854420
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(%)->E`cFiniteAbelianMonoidRing(R,E)``854595
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)``854718
ominimumDegree`2`x`(%,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``854876
ominimumExponent`0`n`()->Integer`dMachineFloat``855049
ominimumExponent`1`n`(Integer)->Integer`dMachineFloat``855123
ominordet`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`855207
ominordet`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`855331
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``855419
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)``855543
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``855625
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``855774
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``855926
ominusInfinity`0`x`()->%`dOrderedCompletion(R)``856131
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``856180
omirror`1`n`(%)->%`dFreeMagma(VarSet)``856233
omirror`1`n`(%)->%`dFreeMonoid(S)``856445
omirror`1`n`(%)->%`dLieExponentials(VarSet,R,Order)``856508
omirror`1`x`(%)->%`cFreeLieAlgebra(VarSet,R)``856590
omirror`1`x`(%)->%`cXFreeAlgebra(vl,R)``856686
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``856786
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->%`dIntegrationResult(F)``856821
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``856982
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`857249
omk_erf`2`n`(F,F)->F`pElementaryRischDEX(R,F)``857370
omkcomm`1`x`(Integer)->%`dCommutator``857431
omkcomm`2`x`(%,%)->%`dCommutator``857471
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``857516
omod_exp`3`n`(PA,Integer,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``857562
omodifyPointData`3`x`(%,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``857656
omodifyPointData`3`x`(%,NonNegativeInteger,Point(R))->%`cThreeSpaceCategory(R)``857925
omodifyPoint`3`n`(%,List(NonNegativeInteger),NonNegativeInteger)->%`dSubSpace(n,R)``858163
omodifyPoint`3`n`(%,List(NonNegativeInteger),Point(R))->%`dSubSpace(n,R)``858664
omodifyPoint`3`n`(%,NonNegativeInteger,Point(R))->%`dSubSpace(n,R)``859133
omodpeval`4`n`(Polynomial(Integer),List(Symbol),List(Integer),Integer)->Integer`pPolynomialEvaluationUtilities``859450
omodpreduction`2`n`(Fraction(Polynomial(Integer)),Integer)->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``859605
omodpreduction`2`n`(MP,Integer)->Union(MP,"failed")`cModularEvaluationCategory(PT,MP)``859701
omodpreduction`2`n`(Polynomial(Integer),Integer)->Polynomial(Integer)`pPolynomialEvaluationUtilities``859791
omodularFactor`2`n`(UP,Set(NonNegativeInteger))->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``859882
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``860423
omodularInvariantJ`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``860558
omodular_compose`5`n`(PA,MMT,PA,NonNegativeInteger,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``860803
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)``861024
omodule`1`n`(FractionalIdeal(R,F,UP,A))->%`dFractionalIdealAsModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`861923
omodule`1`n`(Vector(A))->%`dFractionalIdealAsModule(R,F,UP,A,ibasis)``861999
omoduloP`1`x`(%)->Integer`cPAdicIntegerCategory(p)``862105
omodulus`0`n`()->Rep`dModMonic(R,Rep)``862168
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``862217
omodulus`1`n`(%)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``862272
omodulus`1`n`(%)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``862311
omodulus`1`n`(%)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``862350
omoebiusBand`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``862389
omoebiusBand`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``862515
omoebiusFunction`1`n`(List(P))->%`dFiniteMoebiusFunction(P)``862647
omoebiusMatrix`1`n`(%)->Matrix(Integer)`dFiniteMoebiusFunction(P)``862731
omoebiusMatrix`1`n`(%)->Matrix(R)`dGeneralizedFiniteMoebiusFunction(P,R)``862789
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``862846
omoebiusMu`3`n`(%,P,P)->Integer`dFiniteMoebiusFunction(P)``863123
omoebius`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``863208
omoebius`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
omoebius`4`n`(F,F,F,F)->%`dMoebiusTransform(F)``863436
omoment2Stransform`1`n`(Sequence(R))->Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R))`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`863522
omoment2booleanCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``863650
omoment2cumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``863773
omoment2freeCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``863891
omoment2jacobi2`1`n`(Sequence(R))->Stream(Record(an:R,bn:R))`pMomentPackage(R)`has(R,Field)`864008
omoment2jacobi`1`n`(Sequence(R))->Record(an:Stream(R),bn:Stream(R))`pMomentPackage(R)`has(R,Field)`864114
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``864197
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`864313
omoment2nthJacobi`1`n`(List(R))->Record(an:List(R),bn:List(R))`pMomentPackage(R)`has(R,Field)`864429
omoment`2`n`(%,NonNegativeInteger)->R`cDistributionCategory(R)``864558
omoments`1`n`(%)->Sequence(R)`cDistributionCategory(R)``864647
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``864733
omonic?`1`x`(%)->Boolean`cRecursivePolynomialCategory(R,E,V)``864836
omonicCompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``865017
omonicDecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``865250
omonicDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariatePolynomialCategory(R)`has(R,Ring)`865392
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)`865583
omonicLeftDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`865834
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`866071
omonicModulo`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``866355
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``866532
omonicRightDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`866661
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`866900
omonicRightFactorIfCan`2`x`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``867186
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)``867448
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``867524
omonomial1`1`n`(MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``867615
omonomial?`1`n`(%)->Boolean`cIndexedProductCategory(A,S)``867692
omonomial?`1`n`(%)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``867833
omonomial?`1`n`(%)->Boolean`dLaurentPolynomial(R,UP)``867900
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``867941
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``868014
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``868178
omonomial`2`n`(A,S)->%`cIndexedProductCategory(A,S)``868400
omonomial`2`n`(R,E)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Expon)->%`cSolvableSkewPolynomialCategory(R,Expon)``868511
omonomial`2`n`(R,Integer)->%`dLaurentPolynomial(R,UP)``868609
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``868654
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(K,List(PositiveInteger))->%`dCliffordAlgebra(n,K,bLin)``868699
omonomial`2`x`(R,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``868812
omonomial`3`n`(%,List(VarSet),List(NonNegativeInteger))->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``868913
omonomial`3`n`(%,VarSet,NonNegativeInteger)->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``868993
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`x`(%,List(Var),List(NonNegativeInteger))->%`cMultivariateTaylorSeriesCategory(Coef,Var)``869159
omonomial`3`x`(%,Var,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``869279
omonomials`1`n`(%)->List(%)`cMaybeSkewPolynomialCategory(R,E,VarSet)``869337
omonomials`1`n`(A)->List(A)`xFreeModuleCategory&(A,R,S)``0
omonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`x`(%)->List(%)`cFreeModuleCategory(R,S)``869521
omonotoneConvolution`2`n`(%,%)->%`cDistributionCategory(R)``869606
omonotoneCumulant2momentPoly`1`n`(Sequence(R))->Sequence(SparseUnivariatePolynomial(R))`pMomentPackage(R)``869724
omonotoneCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``869889
omonotoneCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)`has(R,Algebra(Fraction(Integer)))`870014
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)`870122
omore?`2`x`(%,NonNegativeInteger)->Boolean`cAggregate``870331
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``870410
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``870683
omorphism`1`n`((R)->R)->%`dAutomorphism(R)``870956
omorphism`1`n`((R,Integer)->R)->%`dAutomorphism(R)``871037
omorphism`2`n`((R)->R,(R)->R)->%`dAutomorphism(R)``871120
omotzkinPathArray`3`n`(Stream(R),Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``871248
omove`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``871442
omove`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``871694
omovedPoints`1`x`(%)->Set(S)`dPermutation(S)``871950
omovedPoints`1`x`(%)->Set(S)`dPermutationGroup(S)``872040
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``872118
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)``872302
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``872477
omrv_limit1`2`n`(Expression(Integer),Symbol)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``872516
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``872580
omrv_limit`3`n`(Expression(Integer),Equation(Expression(Integer)),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``872696
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``872882
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``872964
omrv_limit`4`n`(Expression(Integer),Symbol,Expression(Integer),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``873017
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``873120
omrv_rewrite0`4`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Expression(Integer))->Expression(Integer)`pMrvLimitPackage``873233
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``873314
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``873415
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``873461
omu`0`n`()->Symbol`pMathematicalSymbols``873538
omul_by_binomial`3`n`(U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``873599
omul_by_binomial`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``873791
omul_by_scalar`3`n`(PrimitiveArray(K),Integer,K)->Void`dModularFactorizationTools3(K)``0
omul_by_scalar`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``874032
omul`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``874206
omulmod`3`x`(%,%,%)->%`cIntegerNumberSystem``874240
omultMonom`3`n`(R,E,%)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``874325
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``874376
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(%),%)->Union(List(%),"failed")`cEuclideanDomain``874433
omultiIndex`1`n`(%)->List(NonNegativeInteger)`cJetBundleCategory``874656
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)``874740
omultifunctionGraph`1`n`(List(Permutation(S)))->%`dMultifunctionGraph(S)``874791
omultifunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:List(NonNegativeInteger),map:List(List(NonNegativeInteger)))))->%`dMultifunctionGraph(S)``874843
omultifunctionGraph`1`n`(List(S))->%`dMultifunctionGraph(S)``874991
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)``875298
omultifunctionGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dMultifunctionGraph(S)``875469
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``875588
omultiple?`1`n`(%)->Boolean`dPattern(R)``875709
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``875854
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``876160
omultiplicative?`2`n`(%,PositiveInteger)->Boolean`dDirichletRing(Coef)``876430
omultiplyALS`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``876547
omultiplyCoefficients`2`n`((Integer)->Coef,%)->%`dInnerSparseUnivariatePowerSeries(Coef)``876692
omultiplyCoefficients`2`x`((Integer)->Coef,%)->%`cUnivariateLaurentSeriesCategory(Coef)``876862
omultiplyCoefficients`2`x`((Integer)->Coef,%)->%`cUnivariateTaylorSeriesCategory(Coef)``877079
omultiplyColumn!`3`n`(%,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``877304
omultiplyColumn!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``877412
omultiplyExponents`2`x`(%,Fraction(Integer))->%`cUnivariatePuiseuxSeriesCategory(Coef)``877498
omultiplyExponents`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)``877634
omultiplyExponents`2`x`(%,PositiveInteger)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``877805
omultiplyMIN`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``877933
omultiplyRow!`3`n`(%,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``878023
omultiplyRow!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``878125
omultisect`3`n`(Integer,Integer,%)->%`dUnivariateFormalPowerSeries(Coef)``0
omultisect`3`n`(Integer,Integer,%)->%`dUnivariateTaylorSeries(Coef,var,cen)``878204
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``878351
omultiset`0`x`()->%`dMultiset(S)``878473
omultiset`1`x`(List(S))->%`dMultiset(S)``878554
omultiset`1`x`(S)->%`dMultiset(S)``878630
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``878700
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``878803
omultivariate`2`x`(SparseUnivariatePolynomial(%),VarSet)->%`cPolynomialCategory(R,E,VarSet)``878906
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->%`cPolynomialCategory(R,E,VarSet)``879041
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``879176
omultivector`1`x`(List(K))->%`dCliffordAlgebra(n,K,bLin)``879230
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``879311
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``879412
omutable?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``879551
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)``879620
omvar`1`x`(%)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``879811
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``879963
omy_digamma`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``880002
omy_root3`1`n`(F)->F`pRootUtilities(R,F)``880059
omy_sqrt`1`n`(F)->F`pRootUtilities(R,F)``880117
onaiveBeckermannLabahn0`8`n`(Vector(U32Vector),Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->Void`pNaiveBeckermannLabahnModular``880174
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``880201
onaiveBeckermannLabahnMultipoint`4`n`(Vector(U32Vector),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``880765
onaiveBeckermannLabahn`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``881329
onaiveBeckermannLabahn`4`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``881872
oname`1`n`(%)->Symbol`cJetBundleCategory``882415
oname`1`n`(%)->Symbol`cKernelCategory(S)``882485
oname`1`n`(%)->Symbol`dFunctionCalled(f)``882549
oname`1`n`(%)->Symbol`dRuleCalled(f)``882590
oname`1`x`(%)->%`dSymbol``882631
oname`1`x`(%)->Name`cFileCategory(Name,S)``882691
oname`1`x`(%)->String`cFileNameCategory``882761
oname`1`x`(%)->Symbol`dBasicOperator``882823
onamedBranch`2`n`(List(%),List(String))->%`dSceneNamedPoints(PT)``882877
onamedPoints`2`n`(List(PT),List(String))->%`dSceneNamedPoints(PT)``882959
onamedPoints`2`n`(List(Scene(PT)),List(String))->%`dSceneNamedPoints(PT)``883034
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(%,%)->%`cBitAggregate``883108
onand`2`x`(%,%)->%`dBoolean``883207
onary?`1`x`(%)->Boolean`dBasicOperator``883289
onaryPlus`4`n`(String,String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``883353
onaryPlus`4`n`(String,String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``883990
onary`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``884627
onary`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``884897
oncDetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``885167
oncDetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``885331
oncDetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``885495
oncols`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``885694
oncols`1`n`(%)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``885748
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``885825
oncols`1`x`(%)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``885902
onegative?`1`n`(S)->Boolean`xOrderedRing&(S)``0
onegative?`1`x`(%)->Boolean`cIntervalCategory(R)``885977
onegative?`1`x`(%)->Boolean`cOrderedRing``886092
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``886167
onelem`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``886267
onewFortranTempVar`0`n`()->Symbol`pFortranCodeTools``886322
onewGreek`0`n`()->Symbol`pMathematicalSymbols``886426
onewLine`0`x`()->String`pDisplayPackage``886482
onewReduc`1`n`(Integer)->Void`pFunctionSpaceReduce(R,F)``886542
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``886659
onewTypeLists`1`n`(%)->SExpression`dSymbolTable``886766
onew`0`n`()->%`dFormatter(F)``886810
onew`0`n`()->%`dHashState``887047
onew`0`n`()->%`dOperatorHandlers(HANDLER)``887091
onew`0`n`()->%`dPatternMatchListResult(R,S,L)``887151
onew`0`n`()->%`dPatternMatchResult(R,S)``887205
onew`0`n`()->%`dSubSpace(n,R)``887259
onew`0`n`()->%`dSubSpaceComponentProperty``887293
onew`0`n`()->%`dTexFormat``887327
onew`0`x`()->%`dSymbol``887498
onew`1`n`(F)->%`dFreeDivisionAlgebra(VAR,F)``887566
onew`1`x`(%)->%`dSymbol``887615
onew`2`n`(FreeMonoid(VAR),F)->%`dFreeDivisionAlgebra(VAR,F)``887692
onew`2`n`(LinearMultivariateMatrixPencil(F),List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``887771
onew`2`n`(List(C),Integer)->%`dSparseEchelonMatrix(C,D)``887908
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->%`cLinearAggregate(S)``888096
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``888198
onew`3`x`(String,String,String)->%`cFileNameCategory``888296
onewline`0`x`()->%`dCharacter``888614
onewton`1`n`(List(F))->SparseUnivariatePolynomial(F)`pNewtonInterpolation(F)``888670
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``889032
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``889371
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``889715
onextLatticePermutation`3`x`(List(Integer),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``889802
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``890235
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``890564
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``890980
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``891378
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``891776
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``891860
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``892276
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``892611
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``892707
onext_sousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``893744
onext_subResultant2`4`x`(%,%,%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`893898
onext`1`x`(%)->%`cDoublyLinkedAggregate(S)``894116
onilFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``894312
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`894467
onlexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``894776
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``895373
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``895473
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)`895716
onodeFromArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``895848
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeFromNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``895975
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeOf?`2`n`(SplittingNode(V,C),%)->Boolean`dSplittingTree(V,C)``896097
onodeToArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``896194
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeToNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``896320
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onode`3`x`(%,S,%)->%`cBinaryTreeCategory(S)``896441
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)``896571
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``896652
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``896692
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`896821
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``896950
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``897051
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(%,%)->%`cBitAggregate``897152
onor`2`x`(%,%)->%`dBoolean``897249
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``897329
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``897370
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``897413
onorm`1`n`(%)->F`dFractionalIdeal(R,F,UP,A)``897513
onorm`1`n`(%)->F`dFractionalIdealAsModule(R,F,UP,A,ibasis)``897575
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)``897638
onorm`1`x`(%)->%`cRealNumberSystem``897769
onorm`1`x`(%)->R`cComplexCategory(R)``897826
onorm`1`x`(%)->R`cFiniteRankAlgebra(R,UP)``897887
onorm`1`x`(%)->R`cOctonionCategory(R)``898002
onorm`1`x`(%)->R`cQuaternionCategory(R)``898112
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``898208
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``898326
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``898408
onorm`2`x`(%,Kernel(%))->%`dAlgebraicNumber``898505
onorm`2`x`(%,List(Kernel(%)))->%`dAlgebraicNumber``898642
onorm`2`x`(%,PositiveInteger)->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`898780
onorm`2`x`(SparseUnivariatePolynomial(%),Kernel(%))->SparseUnivariatePolynomial(%)`dAlgebraicNumber``899144
onorm`2`x`(SparseUnivariatePolynomial(%),List(Kernel(%)))->SparseUnivariatePolynomial(%)`dAlgebraicNumber``899275
onormal01`0`n`()->Float`pRandomFloatDistributions``899407
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``899446
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``899611
onormal?`1`x`(%)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`899709
onormalALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``899992
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``900068
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``900203
onormalElement`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`900305
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``900743
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,Dpol)`has(Dom,Field)`900853
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``901029
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``901277
onormalisePoint`1`n`(%)->%`dSConformal(n)``901320
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``901413
onormalize!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``901578
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(%))->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``901829
onormalizeDIAG!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``901901
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``902035
onormalizePLS!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``902143
onormalizeRHS!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``902334
onormalize`1`x`(%)->%`dFloat``902482
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``902551
onormalize`1`x`(List(F))->List(F)`pElementaryFunctionStructurePackage(R,F)``902671
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``902729
onormalize`2`x`(List(F),List(Symbol))->List(F)`pElementaryFunctionStructurePackage(R,F)``902800
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``903147
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``903238
onormalized?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``903415
onormalized?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``903583
onormalized?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``903708
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``903902
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``904187
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`904390
onot`1`n`(%)->%`dOutputForm``904593
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`x`(%)->%`cBitAggregate``904649
onot`1`x`(%)->%`dBoolean``904727
onot`1`x`(%)->%`dSingleInteger``904781
onotelem`1`n`(%)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``904875
onothing`0`n`()->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``904958
onothing`0`n`()->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``905114
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)``905270
onrows`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``905846
onrows`1`n`(%)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``905897
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``905971
onrows`1`x`(%)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``906045
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)``906117
onthExpon`2`n`(%,Integer)->E`dListMonoidOps(S,E,un)``906155
onthExpon`2`n`(%,Integer)->Integer`dFreeGroup(S)``906241
onthExpon`2`n`(%,Integer)->NonNegativeInteger`dFreeMonoid(S)``906327
onthFactor`2`n`(%,Integer)->S`dFreeGroup(S)``906413
onthFactor`2`n`(%,Integer)->S`dFreeMonoid(S)``906498
onthFactor`2`n`(%,Integer)->S`dListMonoidOps(S,E,un)``906583
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``906668
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``906782
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(%,Integer)->%`cRadicalCategory``907093
onthRoot`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``907164
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``907562
onu`0`n`()->Symbol`pMathematicalSymbols``907621
onull?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``907682
onullBoundary`0`n`()->%`dSBoundary(PT)``907763
onullSpaceOverConstants`2`n`(Matrix(F),List((F)->F))->List(Vector(F))`pConstantLinearDependence(R,F)``907888
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,shallowlyMutable)`908032
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,shallowlyMutable)`908118
onullSpace`1`n`(Matrix(R))->%`dVectorSpaceBasis(R)``908204
onullSpace`1`x`(%)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`908429
onullSpace`1`x`(%)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`908515
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`908602
onullary?`1`x`(%)->Boolean`dBasicOperator``908688
onullary`1`x`(A)->()->A`pMappingPackage1(A)``908746
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``908830
onullity`1`x`(%)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`908963
onullity`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`909096
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`909229
onumDepVar`0`n`()->PositiveInteger`cJetBundleCategory``909362
onumDepVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumDepVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumFunEvals3D`0`n`()->Integer`dPlot3D``909429
onumFunEvals`0`n`()->Integer`dPlot``909498
onumIndVar`0`n`()->PositiveInteger`cJetBundleCategory``909564
onumIndVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumIndVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumber?`1`x`(%)->Boolean`dExpression(R)`has(R,IntegralDomain)`909633
onumberOfChildren`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``909688
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``909736
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``909828
onumberOfComponents`1`x`(%)->NonNegativeInteger`cThreeSpaceCategory(R)``909920
onumberOfComposites`1`x`(%)->NonNegativeInteger`cThreeSpaceCategory(R)``910115
onumberOfComputedEntries`1`x`(%)->NonNegativeInteger`cLazyStreamAggregate(S)``910571
onumberOfCycles`1`x`(%)->NonNegativeInteger`dPermutation(S)``910750
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``910852
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``911045
onumberOfFactors`1`x`(%)->NonNegativeInteger`dFactored(R)``911310
onumberOfFractionalTerms`1`x`(%)->Integer`dPartialFraction(R)``911396
onumberOfHues`0`x`()->PositiveInteger`dColor``911537
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``911620
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``912132
onumberOfMonomials`1`x`(%)->NonNegativeInteger`cIndexedDirectProductCategory(A,S)``912305
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``912385
onumberOfPrimes`1`n`(OutputForm)->Integer`cFormatterCategory``912531
onumberOfPrimes`1`n`(OutputForm)->Integer`xFormatterCategory&(S)``912888
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``913245
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)``913397
onumer`1`n`(%)->A`dLocalAlgebra(A,R)``913468
onumer`1`n`(%)->M`dLocalize(M,R)``913525
onumer`1`n`(%)->Vector(A)`dFractionalIdeal(R,F,UP,A)``913582
onumer`1`x`(%)->S`cQuotientFieldCategory(S)``913666
onumer`1`x`(%)->SparseMultivariatePolynomial(Integer,Kernel(%))`dAlgebraicNumber``913737
onumer`1`x`(%)->SparseMultivariatePolynomial(R,Kernel(%))`cFunctionSpace(R)`has(R,Ring)`913847
onumerator`1`n`(%)->%`cJetBundleFunctionCategory(JB)``914086
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace&(S,R)``0
onumerator`1`x`(%)->%`cFunctionSpace(R)`has(R,Ring)`914147
onumerator`1`x`(%)->%`cQuotientFieldCategory(S)``914225
onumerators`1`x`(%)->Stream(R)`dContinuedFraction(R)``914311
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`914509
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`914626
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`914743
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`914860
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`915012
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`915164
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`915316
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`915383
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`915450
onumeric`1`x`(S)->Float`pNumeric(S)``915517
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`915584
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`915686
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`915788
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``915890
oobj`1`x`(%)->None`dAny``915992
oobjectOf`1`x`(%)->OutputForm`dAny``916144
oobjectToIndex`2`n`(%,S)->NonNegativeInteger`cPoset(S)``916256
oobjectToIndex`2`n`(A,S)->NonNegativeInteger`xPoset&(A,S)``0
oobjects`1`x`(%)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``916321
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``916552
oocton`2`x`(Quaternion(R),Quaternion(R))->%`dOctonion(R)``916899
oocton`8`x`(R,R,R,R,R,R,R,R)->%`cOctonionCategory(R)``917010
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`x`(%)->Boolean`cExpressionSpace`has(%,RetractableTo(Integer))`917120
oodd?`1`x`(%)->Boolean`cIntegerNumberSystem``917187
oodd?`1`x`(%)->Boolean`dPermutation(S)``917261
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``917394
oodd_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``917545
oodd_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``917653
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``917882
ooddlambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
ooddlambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``917952
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``918329
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``918655
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``918745
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``918872
oomError`2`x`(OpenMathErrorKind,List(Symbol))->%`dOpenMathError``919028
oomega`0`n`()->%`dSmallOrdinal``919096
oomega`0`n`()->Symbol`pMathematicalSymbols``919148
oomegapower`1`n`(%)->%`dSmallOrdinal``919215
oomicron`0`n`()->Symbol`pMathematicalSymbols``919259
oone?`1`n`(%)->Boolean`cJetBundleCategory``919330
oone?`1`n`(S)->Boolean`xJetBundleCategory&(S)``0
oone?`1`n`(S)->Boolean`xMagmaWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`x`(%)->Boolean`cMagmaWithUnit``919423
oone?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``919483
ooneDimensionalArray`1`x`(List(S))->%`dOneDimensionalArray(S)``919589
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->%`dOneDimensionalArray(S)``919676
ooneSkeleton`1`n`(%)->DirectedGraph(NonNegativeInteger)`dFiniteSimplicialComplex(VS)``919776
ooneSkeleton`1`n`(%)->UndirectedGraph(NonNegativeInteger)`dDeltaComplex(VS)``919814
oone`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``919852
oone`1`x`(Boolean)->%`dGuessOption``919942
oopType`1`n`(%)->Symbol`dILogic``920067
oopType`1`n`(%)->Symbol`dLatticeJoinOfMeets``920253
oopType`1`n`(%)->Symbol`dLatticeMeetOfJoins``920439
oopen?`1`n`(%)->Boolean`dTubePlot(Curve)``920625
oopen`1`x`(Name)->%`cFileCategory(Name,S)``920700
oopen`2`x`(Name,String)->%`cFileCategory(Name,S)``920764
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``920881
ooperatorHandlers`0`n`()->OperatorHandlers((Integer,List(OutputForm))->OutputBox)`cFormatterCategory``920967
ooperatorHandlers`0`n`()->OperatorHandlers((Integer,List(OutputForm))->OutputBox)`dFormatter(F)``921090
ooperator`1`n`(%)->BasicOperator`cKernelCategory(S)``921213
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``921282
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``921514
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``921684
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``921774
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``921947
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``922026
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(OutputForm)->OutputForm`pOutputFormTools``922138
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``922252
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace``922430
ooperator`1`x`(Symbol)->%`dBasicOperator``922542
ooperator`2`x`(Symbol,NonNegativeInteger)->%`dBasicOperator``922622
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`x`(%)->List(BasicOperator)`cExpressionSpace``922699
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``922816
oopposite?`2`n`(S,S)->Boolean`xAbelianGroup&(S)``0
oopposite?`2`n`(S,S)->Boolean`xAbelianMonoid&(S)``0
oopposite?`2`x`(%,%)->Boolean`cAbelianMonoid``922869
oopposite`1`n`(%)->%`cPoset(S)``922955
oopposite`1`n`(A)->A`xPoset&(A,S)``0
ooption?`2`x`(List(%),Symbol)->Boolean`dDrawOption``923063
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``923264
ooption`2`x`(List(%),Symbol)->Union(Any,"failed")`dDrawOption``923453
ooption`2`x`(List(%),Symbol)->Union(Any,"failed")`dGuessOption``923596
ooptional?`1`n`(%)->Boolean`dPattern(R)``923663
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``923767
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``923941
ooptions`1`n`(%)->List(DrawOption)`dTwoDimensionalViewport``924079
ooptions`1`x`(%)->List(DrawOption)`dThreeDimensionalViewport``924307
ooptions`2`n`(%,List(DrawOption))->%`dTwoDimensionalViewport``924536
ooptions`2`x`(%,List(DrawOption))->%`dThreeDimensionalViewport``924831
ooptpair`1`n`(List(%))->Union(List(%),"failed")`dPattern(R)``925117
oor`2`n`(%,%)->%`dOutputForm``925233
oor`2`x`(%,%)->%`cBitAggregate``925289
oor`2`x`(%,%)->%`dBoolean``925380
oorbit`2`x`(%,List(S))->Set(List(S))`dPermutationGroup(S)``925474
oorbit`2`x`(%,S)->Set(S)`cPermutationCategory(S)``925682
oorbit`2`x`(%,S)->Set(S)`dPermutationGroup(S)``925871
oorbit`2`x`(%,Set(S))->Set(Set(S))`dPermutationGroup(S)``926062
oorbits`1`x`(%)->Set(Set(S))`dPermutationGroup(S)``926168
oord`1`x`(%)->Integer`dCharacter``926303
oorderDim`3`n`(List(%),SparseEchelonMatrix(JB,%),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``926444
oorderDim`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorder`1`n`(%)->Integer`cFiniteGroup``926663
oorder`1`n`(%)->Integer`dLaurentPolynomial(R,UP)``926734
oorder`1`n`(%)->NonNegativeInteger`cFacetCategory``926771
oorder`1`n`(%)->NonNegativeInteger`cJetBundleCategory``926797
oorder`1`n`(%)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``926891
oorder`1`n`(%)->NonNegativeInteger`dInnerTaylorSeries(Coef)``926990
oorder`1`n`(%)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``927146
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)``927227
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``927264
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``927379
oorder`1`n`(S)->Integer`xFiniteGroup&(S)``0
oorder`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oorder`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`x`(%)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``927416
oorder`1`x`(%)->Integer`cFloatingPointSystem``927572
oorder`1`x`(%)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``927692
oorder`1`x`(%)->NonNegativeInteger`cDifferentialVariableCategory(S)``927898
oorder`1`x`(%)->NonNegativeInteger`cPAdicIntegerCategory(p)``928015
oorder`1`x`(%)->NonNegativeInteger`dPermutation(S)``928111
oorder`1`x`(%)->NonNegativeInteger`dPermutationGroup(S)``928198
oorder`1`x`(%)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``928263
oorder`1`x`(%)->PositiveInteger`cFiniteFieldCategory``928386
oorder`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``928522
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`x`(%,%)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`928609
oorder`2`x`(%,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``928776
oorder`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``928897
oorder`2`x`(%,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``929023
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``929178
oorder`3`x`(%,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``929225
oordinalAdd`2`n`(%,%)->%`dSmallOrdinal``929298
oordinalMul`2`n`(%,%)->%`dSmallOrdinal``929388
oordinalPower`2`n`(%,%)->%`dSmallOrdinal``929482
oorientedFacetIfCan`1`n`(List(%))->Union(%,"failed")`dOrientedFacet``929648
oorientedFacetSigned`1`n`(List(Integer))->%`dOrientedFacet``929929
oorientedFacetUnsigned`1`n`(List(Integer))->%`dOrientedFacet``930062
oorientedFacet`2`n`(Integer,List(NonNegativeInteger))->%`dOrientedFacet``930148
oorientedFacet`2`n`(Integer,OrientedFacet)->%`dOrientedFacet``930327
oorthogonalConvolution`2`n`(%,%)->%`cDistributionCategory(R)``930372
oorthogonalPolynomials`1`n`(%)->Stream(SparseUnivariatePolynomial(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`930494
oorthogonalPolynomials`1`n`(%)->Stream(SparseUnivariatePolynomial(R))`cDistributionCategory(R)`has(R,Field)`930579
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``930664
ooutDegree`2`n`(%,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``930829
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(%,%)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`930932
ooutlineRender`2`x`(%,String)->Void`dThreeDimensionalViewport``931078
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``931483
ooutputAsFortran`1`n`(%)->Void`cFortranProgramCategory``931590
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``931676
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``931844
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``931918
ooutputAsMathML`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``932068
ooutputAsMathML`1`x`(OutputForm)->Void`pSpecialOutputPackage``932236
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``932370
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``932529
ooutputFixed`0`x`()->Void`dFloat``932651
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``932766
ooutputFloating`0`x`()->Void`dFloat``932899
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``933082
ooutputForm`1`n`(Integer)->%`dOutputForm``933237
ooutputForm`1`n`(String)->%`dOutputForm``933296
ooutputForm`1`n`(Symbol)->%`dOutputForm``933353
ooutputForm`2`n`(%,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``933410
ooutputForm`2`n`(%,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``933595
ooutputForm`4`n`(%,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``933717
ooutputGeneral`0`x`()->Void`dFloat``934301
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``934492
ooutputList`1`x`(List(Any))->Void`pOutputPackage``934608
ooutputSpacing`1`x`(NonNegativeInteger)->NonNegativeInteger`dFloat``934816
ooutputVRML`2`n`(%,TextFile)->Void`dXmlAttribute``934988
ooutputVRML`2`n`(%,TextFile)->Void`dXmlElement``935266
ooutput`1`x`(OutputForm)->Void`pOutputPackage``935542
ooutput`1`x`(String)->Void`pOutputPackage``935688
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``935829
oover`2`n`(%,%)->%`dOutputForm``936005
ooverbar`1`n`(%)->%`dOutputForm``936100
ooverbar`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``936168
ooverlabel`2`n`(%,%)->%`dOutputForm``936395
ooverlap`2`n`(%,%)->Record(lm:%,mm:%,rm:%)`dFreeMonoid(S)``936490
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``936699
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``936842
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``936928
opa_to_sup`1`n`(PrimitiveArray(K))->SparseUnivariatePolynomial(K)`pVectorPolynomialOperationsF(K)``937016
opa_to_sup`1`n`(PrimitiveArray(PrimeField(p)))->SparseUnivariatePolynomial(Integer)`pVectorPolynomialOperationsP(p)``937091
opa_to_sup`1`n`(U32Vector)->SparseUnivariatePolynomial(Integer)`pU32VectorPolynomialOperations``937166
opack!`1`x`(%)->%`dKeyedAccessFile(Entry)``937241
opack!`1`x`(%)->%`dLibrary``937327
opack_exps0`4`n`(SortedExponentVector,List(Integer),Integer,Integer)->Void`dModularAlgebraicGcdTools3``937413
opack_exps`3`n`(Integer,Integer,MD)->SortedExponentVector`cModularAlgebraicGcdOperations(MP,MPT,MD)``937490
opack_modulus`3`n`(List(MP),List(Symbol),Integer)->Union(MD,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``937663
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``937826
opackageCall`2`n`(Symbol,List(InputForm))->InputForm`pInputFormFunctions1(R)``937915
opad`4`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->(%)->%`dOutputBox``938042
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``938439
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``938665
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``938977
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``939289
opadicFraction`1`x`(%)->%`dPartialFraction(R)``939613
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``939878
opair?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``940023
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))`940102
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))`940292
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))`940613
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)``940749
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)``941223
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``941823
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``942236
opalgint0`7`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``942419
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``942805
opalgintegrate`3`n`(R,F,(UP)->UP)->Record(result1:IntegrationResult(R),result2:F)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``942936
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``943091
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``943339
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``943547
oparallel`2`n`(%,%)->DoubleFloat`cSPointCategory``943806
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)``944014
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)``944059
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)``944103
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)``944362
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)``944629
oparametersOf`1`n`(%)->List(Symbol)`dSymbolTable``944956
oparametric?`1`n`(%)->Boolean`dPlot``945045
oparen`1`n`(%)->%`dOutputForm``945115
oparen`1`n`(List(%))->%`dOutputForm``945190
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`x`(%)->%`cExpressionSpace``945318
oparent`1`n`(%)->%`dSubSpace(n,R)``945541
oparenthesizeIf`2`n`(Boolean,OutputBox)->OutputBox`cFormatterCategory``945724
oparenthesizeIf`2`n`(Boolean,OutputBox)->OutputBox`xFormatterCategory&(S)``945877
oparenthesize`3`n`(String,String,OutputBox)->OutputBox`cFormatterCategory``946030
oparseIL2`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dILogic``946165
oparseILTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dILogic``946416
oparseIL`1`n`(String)->%`dILogic``946565
oparseLambda`1`n`(String)->%`dLambda(UT)``946777
oparseSki`1`n`(String)->%`dSKICombinators(UT)``947352
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dLambda(UT)``947396
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dSKICombinators(UT)``947553
oparseVarTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`cVarCat``947704
oparseVar`1`n`(String)->%`cVarCat``947833
oparse_integer`1`n`(String)->Integer`pScanningUtilities``947881
oparse`1`n`(String)->%`dInputForm``947960
opartialDenominators`1`x`(%)->Stream(R)`dContinuedFraction(R)``948042
opartialFraction`1`x`(Fraction(R))->%`dPartialFraction(R)`has(R,UniqueFactorizationDomain)`948294
opartialFraction`2`x`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``948436
opartialFraction`2`x`(R,Factored(R))->%`dPartialFraction(R)``948589
opartialFraction`3`x`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``948755
opartialNumerators`1`x`(%)->Stream(R)`dContinuedFraction(R)``948991
opartialQuotients`1`x`(%)->Stream(R)`dContinuedFraction(R)``949237
opartial`0`n`()->Symbol`pMathematicalSymbols``949494
oparticularSolutionOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``949557
oparticularSolutionOverConstants`3`n`(Vector(F),F,List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``949768
oparticularSolutionOverQ`2`x`(Matrix(R),Vector(R))->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``949985
oparticularSolutionOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``950182
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F,RR)``950384
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`950434
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`950648
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`950840
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`951054
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``951246
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``951351
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``951456
opartition`1`n`(List(Integer))->%`dPartition``951800
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``951888
opartitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``952069
opartitions`2`x`(Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``952142
opartitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``952317
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)``952525
oparts`1`x`(%)->List(S)`cHomogeneousAggregate(S)`has(%,finiteAggregate)`952610
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``952747
opastel`1`x`(Color)->%`dPalette``952900
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)``952996
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)``953263
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`953581
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``953786
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``953981
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``954167
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``954375
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`954558
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``954747
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)``954938
opatternMatch`3`x`(%,Pattern(S),PatternMatchResult(S,%))->PatternMatchResult(S,%)`cPatternMatchable(S)``955159
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)``955468
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)``955731
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->%`dPattern(R)``956110
opattern`1`x`(%)->Pattern(Base)`dRewriteRule(Base,R,F)``956307
opdct`1`n`(%)->Integer`dPartition``956410
opencil`1`n`(%)->LinearMultivariateMatrixPencil(F)`dFreeDivisionAlgebra(VAR,F)``956559
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``956627
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``956748
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``956914
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``957057
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``957185
operm_to_vec`3`x`(List(S),Permutation(S),NonNegativeInteger)->Vector(NonNegativeInteger)`dPermutationGroup(S)``957296
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``957375
opermutationGroup`1`x`(List(Permutation(S)))->%`dPermutationGroup(S)``958623
opermutationRepresentation`1`n`(G)->Permutation(Integer)`pFiniteGroupPackage(G)``958735
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``958847
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``959067
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``959335
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``959580
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``959769
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(%,%)->%`cCombinatorialFunctionCategory``959936
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``960097
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``960246
operpendicular`2`n`(%,%)->%`cSPointCategory``960364
operspective`2`x`(%,String)->Void`dThreeDimensionalViewport``960573
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``960828
ophi`0`n`()->Symbol`pMathematicalSymbols``961084
ophysicalLength!`2`n`(%,Integer)->%`dIndexedFlexibleArray(S,mn)``961147
ophysicalLength!`2`x`(%,Integer)->%`dFlexibleArray(S)``0
ophysicalLength`1`n`(%)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``961267
ophysicalLength`1`x`(%)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``961370
opi`0`n`()->F`pElementaryFunction(R,F)``961511
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`n`()->Symbol`pMathematicalSymbols``961568
opi`0`x`()->%`cTranscendentalFunctionCategory``961643
opi`0`x`()->%`dPiDomain``961701
opile`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``961761
opile`1`n`(List(%))->%`dOutputForm``961997
opivot`2`n`(%,Integer)->Record(Index:C,Entry:D)`dSparseEchelonMatrix(C,D)``962197
opivots`1`n`(%)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``962329
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(%,PositiveInteger)->%`cNonAssociativeAlgebra(R)``962433
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``962594
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``962982
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->%`dPlot``963445
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``963672
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``963895
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``964008
oplot`2`n`(%,Segment(DoubleFloat))->%`dPlot3D``964130
oplot`2`n`(%,Segment(DoubleFloat))->%`dPlot``964171
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``964212
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->%`dPlot``964306
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``964445
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``964596
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``964757
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``964963
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``965048
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot3D``965178
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``965361
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``965626
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``965701
oplusInfinity`0`x`()->%`dOrderedCompletion(R)``965897
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``965945
oplus`2`n`(%,%)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`965996
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))`966097
opoint?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``966254
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``966418
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``966506
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``966616
opointColor`1`x`(Float)->%`dDrawOption``966845
opointColor`1`x`(Palette)->%`dDrawOption``966988
opointData`1`n`(%)->List(Point(R))`dSubSpace(n,R)``967159
opointList`1`n`(%)->List(PT)`dSceneIFS(PT)``967279
opointList`1`x`(%)->List(S)`dPermutationGroup(S)``967348
opointLists`1`n`(%)->List(List(Point(DoubleFloat)))`dGraphImage``967408
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``967570
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->%`dPlot``967758
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``967928
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``968212
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``968273
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``968363
opoint`1`x`(%)->Point(R)`cThreeSpaceCategory(R)``968463
opoint`1`x`(List(R))->%`cPointCategory(R)``968643
opoint`1`x`(Point(R))->%`cThreeSpaceCategory(R)``968756
opoint`2`x`(%,List(R))->%`cThreeSpaceCategory(R)``968876
opoint`2`x`(%,NonNegativeInteger)->%`cThreeSpaceCategory(R)``969135
opoint`2`x`(%,Point(R))->%`cThreeSpaceCategory(R)``969300
opoint`3`n`(%,Point(DoubleFloat),Palette)->Void`dGraphImage``969545
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``969903
opoints`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``970151
opoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``970421
opoisson`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``970512
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``970551
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``971019
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))`971132
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``971247
opole?`1`n`(%)->Boolean`dInnerTaylorSeries(Coef)``971461
opole?`1`x`(%)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``971600
opolyPart`1`x`(%)->UP`dFullPartialFractionExpansion(F,UP)``971675
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``971742
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``972147
opoly_factor`1`n`(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))->Factored(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))`pExpressionFactorPolynomial(R,F)``972557
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)``972619
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``972681
opolygamma`2`x`(%,%)->%`cSpecialFunctionCategory``972778
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``972918
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
opolygon?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``973002
opolygon`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``973152
opolygon`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``973381
opolygon`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``973576
opolygon`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``973947
opolylog_int`6`n`(F,Symbol,Kernel(F),NonNegativeInteger,List(Kernel(F)),F)->Union(Record(ratpart:F,coeff:F,prim:F),"failed")`pParametricIntegration(R,F)``974126
opolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``974192
opolylog`2`x`(%,%)->%`cSpecialFunctionCategory``974274
opolynomial?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``974356
opolynomial`1`n`(%)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``974416
opolynomial`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``974485
opolynomial`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``974609
opolynomial`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``974733
opolynomial`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``974887
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``975041
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(%,R,E,%)->%`cFiniteAbelianMonoidRing(R,E)``975080
opop!`1`x`(%)->S`cStackAggregate(S)``975248
opopFortranOutputStack`0`n`()->Void`pFortranOutputStackPackage``975460
oposetL7`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``975528
oposetM5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``975591
oposetN5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``975654
oposetO6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``975717
oposetP6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``975780
oposition`1`x`(%)->NonNegativeInteger`cCachableSet``975843
oposition`2`n`(%,List(%))->Integer`dCubicalFacet``975922
oposition`2`n`(%,List(%))->Integer`dOrientedFacet``976029
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`x`((S)->Boolean,%)->Integer`cLinearAggregate(S)`has(%,finiteAggregate)`976136
oposition`2`x`(S,%)->Integer`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`976325
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`(%,%,Integer)->Integer`cStringAggregate``976484
oposition`3`x`(CharacterClass,%,Integer)->Integer`cStringAggregate``976688
oposition`3`x`(S,%,Integer)->Integer`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`976913
opositive?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
opositive?`1`n`(S)->Boolean`xOrderedRing&(S)``0
opositive?`1`x`(%)->Boolean`cIntervalCategory(R)``977104
opositive?`1`x`(%)->Boolean`cOrderedRing``977219
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``977297
opositivePower`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
opositivePower`2`x`(%,Integer)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`977397
opositiveRemainder`2`x`(%,%)->%`cIntegerNumberSystem``977528
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``977653
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``977749
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``977875
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``977971
opossibleOrder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``978818
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(%)->Boolean`cStreamAggregate(S)``978931
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``979130
opostfix`2`n`(%,%)->%`dOutputForm``979299
opowToUPS`2`n`(List(FE),Record(pos_Check?:Boolean,atan_Flag:Union("complex","real: two sides","real: left side","real: right side","just do it"),coeff_check?:Union((FE)->Boolean,"none"),inv_check?:Union((FE)->Boolean,"none"),zero_check?:Union((FE)->Boolean,"none"),log_x_replace:Boolean,log_x_val:FE,cache:List(Record(ker:Kernel(FE),ser:Union(%series:UPS,%problem:Record(func:String,prob:String))))))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``979375
opow`0`n`()->PrimitiveArray(%)`dModMonic(R,Rep)``979430
opow`4`n`(U32Vector,PositiveInteger,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``979669
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``979818
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``980103
opowerSetStructure`1`n`(S)->%`cPoset(S)``980209
opowerSum`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``980395
opower_matrix`3`n`(PA,NonNegativeInteger,PMD)->Record(matr:MMT,poly:PA)`cModularFactorizationOperations(PA,MMT,MD,PMD)``980483
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`980844
opower`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``980936
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`981179
opowers`1`n`(List(Integer))->List(List(Integer))`dPartition``981260
opowerset`1`n`(List(S))->FiniteBiCPO(List(S))`pPosetFactory(S)``981554
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(%,%,%)->%`cIntegerNumberSystem``981660
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``981745
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``981900
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``982039
opre_gauss`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``982098
opre_lr`3`n`(Matrix(Integer),Vector(Integer),Vector(Integer))->Matrix(Integer)`pUnitGaussianElimination``982248
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(%))`dRegularTriangularSet(R,E,V,P)``982463
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(%))`dSquareFreeRegularTriangularSet(R,E,V,P)``982566
opre_smith`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``982669
oprecedence`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``982796
oprecedence`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``983004
oprecision`0`n`()->PositiveInteger`dMachineFloat``983212
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``983280
oprecision`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``983344
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`983422
oprecondition`1`n`(OutputForm)->OutputForm`pOutputFormTools``983507
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``983567
opredicates`1`n`(%)->List(Any)`dPattern(R)``983720
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(%,%)->Boolean`cStringAggregate``983862
oprefixRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``984037
oprefix`2`n`(%,List(%))->%`dOutputForm``984255
oprefix`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``984405
oprefix`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``984628
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``984851
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``985007
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)``985147
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)``985262
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``985377
opresub`2`n`(%,%)->%`dOutputForm``985486
opresuper`2`n`(%,%)->%`dOutputForm``985571
opretendOfType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``985660
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``985750
oprevious`1`x`(%)->%`cDoublyLinkedAggregate(S)``985834
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`986006
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`986108
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)``986256
oprime?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`x`(%)->Boolean`cUniqueFactorizationDomain``986372
oprime?`1`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``986536
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``986617
oprime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``987802
oprimeFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``987864
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(%)->%`cFieldOfPrimeCharacteristic``988015
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(%,NonNegativeInteger)->%`cFieldOfPrimeCharacteristic``988106
oprime`1`n`(%)->%`dOutputForm``988204
oprime`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``988296
oprime`2`n`(%,NonNegativeInteger)->%`dOutputForm``988690
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``988773
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)``988864
oprimintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(F,NonNegativeInteger)->Union(Record(ratpart:F,coeff:F,prim:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``989131
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``989343
oprimitive?`1`x`(%)->Boolean`cFiniteFieldCategory``989492
oprimitiveElement`0`x`()->%`cFiniteFieldCategory``989736
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``989936
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``990222
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`990665
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``991009
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``991457
oprimitiveMonomials`1`n`(%)->List(%)`cMaybeSkewPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`991827
oprimitiveMonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`992028
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)`992101
oprimitivePart`1`x`(%)->%`cFunctionFieldCategory(F,UP,UPUP)``992224
oprimitivePart`1`x`(%)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`992347
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`992471
oprimitivePart`2`x`(%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`992670
oprimitiveRowEchelon`1`n`(%)->Record(Ech:%,Lt:Matrix(Fraction(D)),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`992837
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``993209
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(%)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``993243
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(%))->Record(coef:List(%),generator:%)`cPrincipalIdealDomain``993323
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)``993553
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``993591
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``993631
oprintCode`1`n`(%)->Void`dFortranCode``993670
oprintHeader`0`n`()->Void`dTheSymbolTable``993738
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``993886
oprintHeader`2`n`(Symbol,%)->Void`dTheSymbolTable``994032
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``994178
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``994394
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``994473
oprintSys`1`n`(List(D))->OutputForm`dJetDifferentialEquation(JB,D)``994524
oprintTypes`1`n`(%)->Void`dSymbolTable``994678
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``994799
oprint`1`n`(%)->Void`dOutputForm``994920
oprint`1`x`(OutputForm)->Void`pPrintPackage``994969
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``995080
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``995200
oprocessTemplate`1`n`(FileName)->FileName`dFortranTemplate``995374
oprocessTemplate`2`n`(FileName,FileName)->FileName`dFortranTemplate``995501
oprod`1`n`(%)->%`dOutputForm``995614
oprod`2`n`(%,%)->%`dOutputForm``995702
oprod`3`n`(%,%,%)->%`dOutputForm``995822
oprodiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``995983
oproductFacet`2`n`(Integer,List(Record(left:NonNegativeInteger,right:NonNegativeInteger)))->%`dProductFacet``996228
oproductFacet`2`n`(Integer,ProductFacet)->%`dProductFacet``996265
oproduct`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``996313
oproduct`2`n`(%,%)->%`dCubicalFacet``996505
oproduct`2`n`(%,%)->%`dFiniteCubicalComplex(VS)``996626
oproduct`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``996673
oproduct`2`n`(%,%)->List(ProductFacet)`dOrientedFacet``997148
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``997629
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``997737
oproduct`2`x`(%,%)->%`cGradedAlgebra(R,E)``997893
oproduct`2`x`(%,%)->%`dCartesianTensor(minix,dim,R)``998370
oproduct`2`x`(%,SegmentBinding(%))->%`cCombinatorialOpsCategory``998654
oproduct`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``998762
oproduct`3`n`(%,%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)``998918
oproject`2`n`(%,NonNegativeInteger)->%`dJetDifferentialEquation(JB,D)``999006
oprojectionSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``999158
oprojection`1`n`(%)->Union(%,"failed")`dCell(TheField)``999220
oprojectiveSpace`1`n`(Integer)->DeltaComplex(VS)`pDeltaComplexFactory(VS)``999296
oprojectiveSpace`1`n`(Integer)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``999340
oprojectiveSpace`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``999634
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``999922
oprologue`1`n`(%)->List(String)`dTexFormat``1000272
oprologue`1`n`(%)->OutputBox`dFormatter(F)``1000352
oprolongMV`1`n`(Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger)))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``1000430
oprolongSymbol`1`n`(SparseEchelonMatrix(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1000554
oprolong`1`n`(%)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``1000630
oprolong`2`n`(%,NonNegativeInteger)->%`dJetVectorField(JB,D)``1000766
oprolong`2`n`(%,NonNegativeInteger)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``1000894
oproperties`1`x`(%)->AssociationList(Symbol,None)`dBasicOperator``1001023
oproperty`2`x`(%,Symbol)->Union(None,"failed")`dBasicOperator``1001124
oproposition`1`n`(String)->%`dILogic``1001253
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)`1001285
opseudoDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cRecursivePolynomialCategory(R,E,V)``1001484
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1001697
opseudoRem`3`n`(MPT,MPT,MD)->MPT`cModularAlgebraicGcdOperations(MP,MPT,MD)``1001891
opseudoRemainder`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoRemainder`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`1001994
opsi`0`n`()->Symbol`pMathematicalSymbols``1002242
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)``1002305
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)``1002434
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)``1002587
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)``1002741
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1002889
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)``1003119
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1003296
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)``1003538
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1003716
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1003959
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1004171
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1004430
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``1004697
optree`1`x`(S)->%`dPendantTree(S)``1004799
optree`2`x`(%,%)->%`dPendantTree(S)``1004846
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1004888
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1005071
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1005141
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1005256
opuiseux`2`x`(Fraction(Integer),ULS)->%`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``1005501
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1005557
opuiseux`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``1005731
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
opuiseux`5`n`((Fraction(Integer))->R,Symbol,R,UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries1(R)``1005979
opuiseux`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1006228
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1006474
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``1006614
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``1006958
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``1007101
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``1007300
opurge!`2`n`(%,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``1007451
opush!`2`x`(S,%)->S`cStackAggregate(S)``1007582
opushFortranOutputStack`1`n`(FileName)->Void`pFortranOutputStackPackage``1007847
opushFortranOutputStack`1`n`(String)->Void`pFortranOutputStackPackage``1007933
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``1008019
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1008067
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1008214
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1008364
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1008508
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``1008641
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1008687
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``1008842
oputGraph`3`n`(%,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1009049
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1009488
oqShiftAction`4`n`(D,NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``1009706
oqShiftC`2`n`(D,NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``1009955
oqaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``1010288
oqaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1010520
oqaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``1010680
oqaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1010791
oqcoerce`1`x`(Integer)->%`dNonNegativeInteger``1010960
oqcoerce`1`x`(Integer)->%`dPositiveInteger``1011053
oqcolumnIndices`2`n`(%,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1011143
oqcolumnIndices`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1011300
oqcolumnIndices`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``1011482
oqconvert`1`n`(Integer)->%`dU64Int``0
oqconvert`1`x`(Integer)->%`dSingleInteger``1011680
oqdiagonal?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1011774
oqdiagonal`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``1011906
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(%,Dom)->Im`cEltableAggregate(Dom,Im)``1012051
oqelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``1012357
oqelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``1012485
oqelt`3`x`(%,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``1012574
oqelt`3`x`(%,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1012774
oqelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``1012952
oqequal?`5`n`(%,List(NonNegativeInteger),%,List(NonNegativeInteger),NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1013097
oqinterval`2`x`(R,R)->%`cIntervalCategory(R)``1013211
oqlog`1`x`(%)->%`dDoubleFloat``1013340
oqmultiplyColumn!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1013432
oqmultiplyRow!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1013518
oqnew`1`n`(Integer)->%`dComplexDoubleFloatVector``1013615
oqnew`1`n`(Integer)->%`dDoubleFloatVector``1013692
oqnew`1`n`(NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1013769
oqnew`2`n`(NonNegativeInteger,List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``1013835
oqnew`2`x`(NonNegativeInteger,NonNegativeInteger)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1013908
oqnew`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1013984
oqnilpotent?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1014111
oqregular?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1014251
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1014356
oqrowIndices`2`n`(%,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1014453
oqrowIndices`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1014608
oqrowIndices`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``1014787
oqscaleBlock!`7`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1014938
oqsemizero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1015099
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(%,shallowlyMutable)`1015258
oqsetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``1015476
oqsetelt!`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1015645
oqsetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``1015831
oqsetfirst!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
oqsetfirst!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1015979
oqsetrest!`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oqsetrest!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1016105
oqsqrt`1`x`(%)->%`dDoubleFloat``1016221
oqswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1016309
oqswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1016413
oqswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1016557
oqswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1016655
oquadraticForm`1`x`(SquareMatrix(n,K))->%`dQuadraticForm(n,K)``1016794
oquadraticNonResidue`0`n`()->%`dInnerPrimeField(p)``1016894
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``1017018
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1017104
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1017145
oquartic2`2`n`(SparseUnivariatePolynomial(F),F)->Union(Record(reals:List(F),complexes:List(Record(real:F,imag:F))),"failed")`pRootUtilities(R,F)``1017196
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1017260
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1017299
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1017358
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)``1017562
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(%)->Boolean`cRecursivePolynomialCategory(R,E,V)``1017714
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1017889
oquasiRegular?`1`n`(%)->Boolean`dXPolynomialRing(R,E)``1018067
oquasiRegular?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``1018148
oquasiRegular`1`n`(%)->%`dXPolynomialRing(R,E)``1018229
oquasiRegular`1`x`(%)->%`cXFreeAlgebra(vl,R)``1018300
oquatern`4`x`(R,R,R,R)->%`cQuaternionCategory(R)``1018371
oqueue`1`x`(List(S))->%`dQueue(S)``1018449
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1018614
oquoByVar`1`x`(%)->%`cUnivariateTaylorSeriesCategory(Coef)``1018739
oquo`2`n`(%,%)->%`dOutputForm``1019006
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`x`(%,%)->%`cEuclideanDomain``1019063
oquo`2`x`(%,%)->%`dNonNegativeInteger``1019175
oquote`0`x`()->%`dCharacter``1019272
oquote`1`n`(%)->%`dOutputForm``1019343
oquoted?`1`n`(%)->Boolean`dPattern(R)``1019413
oquotedOperators`1`x`(%)->List(Symbol)`dRewriteRule(Base,R,F)``1019504
oquotientByP`1`x`(%)->%`cPAdicIntegerCategory(p)``1019731
oquotient`2`n`(%,List(List(Integer)))->%`dGroupPresentation``1019806
oquotient`2`n`(%,List(NonNegativeInteger))->%`dGroupPresentation``1019867
oquotient`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1019931
oquotient`2`x`(%,DPoly)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1020038
oquppertriangular?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1020193
oqzero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1020345
oqzero?`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1020484
oqzero?`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1020596
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,FreeMonoid(VAR))->Boolean`dFreeDivisionAlgebra(VAR,F)``1020759
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1020915
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1021028
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`cJetBundleCategory``1021197
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`xJetBundleCategory&(S)``1021268
orCoord`1`n`(Point(R))->R`pPointPackage(R)``1021339
orabs`1`x`(Complex(DoubleFloat))->DoubleFloat`pFloatSpecialFunctions``1021610
orabs`1`x`(Complex(Float))->Float`pFloatEllipticFunctions``1021630
orabs`1`x`(Complex(Float))->Float`pFloatSpecialFunctions``1021651
orabs`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``1021671
orabs`1`x`(Float)->Float`pFloatEllipticFunctions``1021691
orabs`1`x`(Float)->Float`pFloatSpecialFunctions``1021712
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``1021732
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``1021860
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``1022014
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``1022215
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``1022396
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``1022634
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``1022789
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)``1022963
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1023271
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1023468
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1023634
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1023830
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1024008
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1024180
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1024376
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1024569
oradical_solve`1`n`(SparseUnivariatePolynomial(F))->Union(List(F),"failed")`pRootUtilities(R,F)``1024796
oradical_solve`1`x`(SparseUnivariatePolynomial(Polynomial(R)))->Union(List(Expression(R)),"failed")`pRadicalSolvePackage(R)``1024920
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)``1024983
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``1025051
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``1025136
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1025298
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1025365
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1025435
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``1025502
orandnum`0`x`()->Integer`pRandomNumberSource``1025605
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``1025670
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``1025740
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``1025804
orandomR`1`n`(Integer)->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1025860
orandom_poly`2`n`(Integer,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1025920
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``1026003
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1026065
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1026195
orandom`1`x`(%)->%`cIntegerNumberSystem``1026279
orandom`1`x`(%)->%`dInteger``1026350
orandom`1`x`(%)->%`dNonNegativeInteger``1026421
orandom`1`x`(%)->Permutation(S)`dPermutationGroup(S)``1026492
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1026631
orandom`2`x`(%,Integer)->Permutation(S)`dPermutationGroup(S)``1026808
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1026917
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``1026997
orange`1`x`(List(Segment(Float)))->%`dDrawOption``1027116
orange`1`x`(List(Segment(Fraction(Integer))))->%`dDrawOption``1027241
oranges`1`n`(%)->List(Segment(Float))`dGraphImage``1027366
oranges`1`x`(List(Segment(Float)))->%`dDrawOption``1027534
oranges`2`n`(%,List(Segment(Float)))->List(Segment(Float))`dGraphImage``1027666
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``1027921
orank`0`n`()->PositiveInteger`cFramedModule(R)``1028128
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`n`()->PositiveInteger`xOctonionCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``1028180
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``1028234
orank`1`n`(%)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``1028307
orank`1`n`(%)->NonNegativeInteger`dVectorSpaceBasis(R)``1028452
orank`1`n`(List(Vector(R)))->NonNegativeInteger`dVectorSpaceBasis(R)``1028559
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1028621
orank`1`x`(%)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`1028684
orank`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`1028747
orank`1`x`(%)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``1028810
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`1028953
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``1029016
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``1029133
orarrow`2`n`(%,%)->%`dOutputForm``1029250
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``1029325
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``1029463
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``1029581
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``1029722
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1029855
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1030179
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1030435
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1030759
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``1031015
oratexprInverse`2`n`(%,Boolean)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1031143
oratexpr`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1031347
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`(%)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`1031475
orational?`1`x`(%)->Boolean`cIntegerNumberSystem``1031542
orational?`1`x`(%)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1031643
orational?`1`x`(%)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1031759
orational?`1`x`(%)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`1031955
orational?`1`x`(%)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1032075
orational?`1`x`(%)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1032149
orational?`1`x`(S)->Boolean`pRationalRetractions(S)``1032223
orationalApproximation`2`x`(%,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1032330
orationalApproximation`2`x`(%,NonNegativeInteger)->Fraction(Integer)`dFloat``1032467
orationalApproximation`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1032604
orationalApproximation`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``1032784
orationalFunction`2`x`(%,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1032962
orationalFunction`3`x`(%,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1033106
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`(%)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`1033273
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``1033395
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1033500
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1033615
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`1033840
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1033950
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1034062
orationalIfCan`1`x`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``1034175
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``1034294
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1034377
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``1034460
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`1034543
orationalPower`1`x`(%)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``1034626
orational_reconstruction`1`n`(%)->Union(Record(numers:PrimitiveArray(Integer),denoms:PrimitiveArray(Integer)),"failed")`dVectorIntegerReconstructor``1034724
orational_reconstruction`1`n`(%)->Union(Record(numers:PrimitiveArray(U32Vector),denoms:PrimitiveArray(U32Vector)),"failed")`dVectorModularReconstructor``1034853
orational_reconstruction`4`n`(Integer,Integer,Integer,Integer)->Union(Record(num:Integer,den:Integer),"failed")`dVectorIntegerReconstructor``1034982
orational_reconstruction`4`n`(U32Vector,U32Vector,Integer,Integer)->Union(Record(numer:U32Vector,denom:U32Vector),"failed")`dVectorModularReconstructor``1035203
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`(%)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`1035440
orational`1`x`(%)->Fraction(Integer)`cIntegerNumberSystem``1035550
orational`1`x`(%)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1035637
orational`1`x`(%)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1035757
orational`1`x`(%)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`1035968
orational`1`x`(%)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1036128
orational`1`x`(%)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1036245
orational`1`x`(S)->Fraction(Integer)`pRationalRetractions(S)``1036360
orationalize_ir`2`n`(IntegrationResult(F),Kernel(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``1036469
oratpart`1`n`(%)->F`dIntegrationResult(F)``1036571
oravel`1`x`(%)->List(R)`dCartesianTensor(minix,dim,R)``1036648
orc`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``1036769
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``1036808
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)``1036857
oread!`1`x`(%)->S`cFileCategory(Name,S)``1036930
oreadIfCan!`1`x`(%)->Union(S,"failed")`dFile(S)``1037094
oreadIfCan!`1`x`(%)->Union(String,"failed")`dTextFile``1037289
oreadLine!`1`x`(%)->String`dTextFile``1037502
oreadLineIfCan!`1`x`(%)->Union(String,"failed")`dTextFile``1037596
oreadable?`1`x`(%)->Boolean`cFileNameCategory``1037813
oreal?`1`n`(%)->Boolean`dFortranScalarType``1037904
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``1037990
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``1038055
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``1038120
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``1038336
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1038622
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1038778
orealLiouvillian`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1038973
orealLiouvillian`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1039246
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``1039536
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``1039655
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1039975
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1040071
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1040351
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``1040457
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1040668
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1040785
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1041688
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1041819
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1041950
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1042111
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1042272
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1042468
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1042664
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1042893
oreal`1`x`(%)->R`cComplexCategory(R)``1043122
oreal`1`x`(%)->R`cOctonionCategory(R)``1043175
oreal`1`x`(%)->R`cQuaternionCategory(R)``1043238
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``1043307
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``1043401
orecip`0`n`()->%`dMoebiusTransform(F)``1043495
orecip`1`n`(%)->%`dMoebiusTransform(F)``1043602
orecip`1`n`(%)->Union(%,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1043646
orecip`1`n`(%)->Union(%,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``1043683
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)``1043720
orecip`1`x`(%)->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1043823
orecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``1044056
orecip`1`x`(%)->Union(%,"failed")`dCliffordAlgebra(n,K,bLin)``1044258
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)``1044372
orecip`2`x`(ThePols,%)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1044545
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``1044635
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``1044805
oreconstruct`2`n`(%,Vector(Integer))->Union(PrimitiveArray(Integer),"failed")`dVectorIntegerReconstructor``1044903
oreconstruct`5`n`(%,Integer,Vector(Integer),Vector(Integer),SortedExponentVector)->Union(Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed")`dVectorModularReconstructor``1045018
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``1045159
orectangularMatrix`1`n`(Matrix(R))->%`dRectangularMatrix(m,n,R)``1045318
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``1045443
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``1045566
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,Dpol)``1045642
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1045676
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1045711
ored_pol!`2`n`(PA,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1045904
ored`0`x`()->%`dColor``1046046
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``1046119
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)``1046259
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)``1046376
oreduceBasis`4`n`(Vector(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``1046541
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1046676
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``1046791
oreduceLODE`2`n`(LO,List(A))->Record(mat:Matrix(L),vecs:List(Vector(F)))`pReduceLODE(F,L,UP,A,LO)``1047150
oreduceMod`2`n`(List(%),List(%))->List(%)`cJetBundleFunctionCategory(JB)``1047407
oreduceMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oreduce`1`n`(%)->%`dJetBundleExpression(JB)``1047507
oreduce`1`n`(%)->%`dJetBundleXExpression(JB)``1047563
oreduce`1`n`(FPol)->%`dResidueRing(F,Expon,VarSet,FPol,LFPol)``1047623
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)``1047710
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``1047775
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`x`(%)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``1047925
oreduce`1`x`(%)->%`dAlgebraicNumber``1048055
oreduce`1`x`(%)->%`dExpression(R)`has(R,IntegralDomain)`1048184
oreduce`1`x`(Fraction(UP))->Union(%,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`1048316
oreduce`1`x`(UP)->%`cMonogenicAlgebra(R,UP)``1048400
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)``1048553
oreduce`2`n`(R,Mod)->%`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1048729
oreduce`2`n`(R,Mod)->%`dModularField(R,Mod,reduction,merge,exactQuo)``1048772
oreduce`2`n`(R,Mod)->%`dModularRing(R,Mod,reduction,merge,exactQuo)``1048815
oreduce`2`x`((S,S)->S,%)->S`cCollection(S)`has(%,finiteAggregate)`1048858
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)``1049188
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``1049357
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``1049750
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``1050104
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``1050452
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1050621
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1050979
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``1051127
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``1051469
oreduce`3`x`((S,S)->S,%,S)->S`cCollection(S)`has(%,finiteAggregate)`1051803
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``1052203
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))`1052436
oreduce`4`x`(P,%,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``1052825
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``1053379
oreduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``1053473
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)``1053592
oreducedContinuedFraction`2`x`(R,Stream(R))->%`dContinuedFraction(R)``1053825
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``1054154
oreducedForm`1`x`(%)->%`dContinuedFraction(R)``1054206
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``1054466
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)``1054636
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)``1054774
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)``1054934
oreducedSystem`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(mat:Matrix(F),vec:Vector(F))`pConstantLinearDependence(R,F)``1055099
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``1055295
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``1055459
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``1055570
oreductum`1`n`(%)->%`cIndexedProductCategory(A,S)`has(S,Comparable)`1055657
oreductum`1`n`(%)->%`cSolvableSkewPolynomialCategory(R,Expon)``1055824
oreductum`1`n`(%)->%`dAntiSymm(R,lVar)``1055935
oreductum`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``1056120
oreductum`1`n`(%)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1056301
oreductum`1`n`(%)->%`dLaurentPolynomial(R,UP)``1056341
oreductum`1`n`(%)->%`dXPolynomialRing(R,E)``1056381
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(%,V)->%`cRecursivePolynomialCategory(R,E,V)``1056490
oredux`1`n`(%)->%`dILogic``1056622
oredux`1`n`(%)->%`dLambda(UT)``1056776
oredux`1`n`(%)->%`dLatticeJoinOfMeets``1056847
oredux`1`n`(%)->%`dLatticeMeetOfJoins``1056880
oredux`1`n`(%)->%`dSKICombinators(UT)``1056913
oref`1`n`(S)->%`dReference(S)``1057025
orefactorIndexes`2`n`(%,NonNegativeInteger)->%`dFiniteSimplicialComplex(VS)``1057100
orefactorIndexes`2`n`(%,NonNegativeInteger)->%`dOrientedFacet``1057196
orefactor`1`n`(%)->%`dGroupPresentation``1057296
orefine!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1057518
orefine!`2`n`(%,Boolean)->%`dFreeDivisionAlgebra(VAR,F)``1057589
orefineUR!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1057776
orefineUR!`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1057904
orefine`1`n`(%)->%`dPlot3D``1058032
orefine`1`n`(%)->%`dPlot``1058070
orefine`1`x`(%)->%`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1058137
orefine`2`n`(%,DoubleFloat)->%`dPlaneAlgebraicCurvePlot``1058218
orefine`2`n`(%,Segment(DoubleFloat))->%`dPlot3D``1058263
orefine`2`n`(%,Segment(DoubleFloat))->%`dPlot``1058306
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``1058349
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``1058768
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``1058951
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)``1059134
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)``1059432
orefined?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1059730
orefinementEquations`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1059798
orefinementGroebner`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1059918
orefinementSolve`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``1060213
orefinementTransformations`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``1060465
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)``1060572
oregion`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1061411
oregular?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1061693
oregularRepresentation`1`n`(G)->Matrix(Integer)`pFiniteGroupPackage(G)``1061750
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(%)->Matrix(R)`cFramedAlgebra(R,UP)``1061867
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)``1062105
oreindex`1`n`(%)->%`dOrientedFacet``1062377
oreindex`2`x`(%,List(Integer))->%`dCartesianTensor(minix,dim,R)``1062446
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeal(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`1062732
orelationsInGenerators`1`x`(%)->List(List(Integer))`dPermutationGroup(S)``1062844
orelationsInStrongGenerators`1`x`(%)->List(List(Integer))`dPermutationGroup(S)``1062923
orelativeApprox`2`x`(%,%)->Fraction(Integer)`dRealClosure(TheField)``1063015
orelativeApprox`3`x`(ThePolDom,%,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1063123
orelativeApprox`3`x`(ThePols,%,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``1063251
orelerror`2`x`(%,%)->%`dFloat``1063381
orem`2`n`(%,%)->%`dOutputForm``1063484
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`x`(%,%)->%`cEuclideanDomain``1063541
orem`2`x`(%,%)->%`dNonNegativeInteger``1063654
oremainder!`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``1063724
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)`1063752
oremap_variables`3`n`(SparseMultivariatePolynomial(R,VarSet1),List(VarSet1),List(VarSet2))->SparseMultivariatePolynomial(R,VarSet2)`pSparsePolynomialCoercionHelpers(R,VarSet1,VarSet2)``1064057
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)``1064289
oremove!`2`x`((S)->Boolean,%)->%`cDictionaryOperations(S)`has(%,finiteAggregate)`1064355
oremove!`2`x`((S)->Boolean,%)->%`cExtensibleLinearAggregate(S)``1064498
oremove!`2`x`(Key,%)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1064622
oremove!`2`x`(S,%)->%`cDictionaryOperations(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1064814
oremove!`2`x`(S,%)->%`cExtensibleLinearAggregate(S)`has(S,BasicType)`1064943
oremove!`3`x`((S)->Boolean,%,Integer)->%`dMultiset(S)``1065030
oremove!`3`x`(S,%,Integer)->%`dMultiset(S)``1065331
oremoveChild!`2`n`(%,%)->Void`dScene(PT)``1065584
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`1065685
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1065797
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1065974
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(%)->%`cExtensibleLinearAggregate(S)`has(S,BasicType)`1066155
oremoveDuplicates!`1`x`(%)->%`cMultiDictionary(S)``1066238
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))`1066340
oremoveHandler!`3`n`(%,Integer,String)->Void`dOperatorHandlers(HANDLER)``1066430
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1066629
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1066922
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1067271
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1067592
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1068273
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1068563
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1068854
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1068959
oremoveRepeats!`1`n`(%)->%`dIndexedFlexibleArray(S,mn)``1069176
oremoveRepeats!`1`x`(%)->%`dFlexibleArray(S)``0
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1069298
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``1069642
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1069796
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1070086
oremoveRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dFreeDivisionAlgebra(VAR,F)``1070366
oremoveRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``1070541
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1070697
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1070874
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1071055
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``1071216
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1071321
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``1071426
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1071605
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1071784
oremoveZeroes`1`n`(%)->%`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(%)->%`dPAdicRational(p)``0
oremoveZeroes`1`n`(%)->%`dPAdicRationalConstructor(p,PADIC)``1072048
oremoveZeroes`1`x`(%)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1072602
oremoveZeroes`2`n`(Integer,%)->%`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,%)->%`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,%)->%`dPAdicRationalConstructor(p,PADIC)``1073131
oremoveZeroes`2`x`(Integer,%)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1073246
oremoveZeros`2`n`(%,Expon)->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``1073703
oremove_denoms`3`n`(Vector(Integer),PrimitiveArray(Integer),PrimitiveArray(Integer))->PrimitiveArray(Integer)`dVectorIntegerReconstructor``1073812
oremove_denoms`4`n`(Vector(Integer),PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->PrimitiveArray(U32Vector)`dVectorModularReconstructor``1074029
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)``1074371
oremove`2`x`((S)->Boolean,%)->%`cCollection(S)`has(%,finiteAggregate)`1074563
oremove`2`x`((S)->Boolean,%)->%`cLazyStreamAggregate(S)``1074745
oremove`2`x`(S,%)->%`cCollection(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1074938
oremove`3`x`((S)->Boolean,%,Integer)->%`dMultiset(S)``1075094
oremove`3`x`(S,%,Integer)->%`dMultiset(S)``1075380
orename!`2`x`(%,OutputForm)->%`cRealClosedField``1075618
orename`2`x`(%,OutputForm)->%`cRealClosedField``1075687
oreopen!`2`x`(%,String)->%`cFileCategory(Name,S)``1075758
oreorder`2`n`(%,List(Integer))->%`dDistributedMultivariatePolynomial(vl,R)``1075951
oreorder`2`n`(%,List(Integer))->%`dGeneralDistributedMultivariatePolynomial(vl,R,E)``1076095
oreorder`2`n`(%,List(Integer))->%`dHomogeneousDistributedMultivariatePolynomial(vl,R)``1076239
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1076383
orepack1`4`n`(MPT,U32Vector,Integer,MD)->Void`cModularAlgebraicGcdOperations(MP,MPT,MD)``1076516
orepack_polys`4`n`(Integer,Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector))->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1076674
orepeatUntilLoop`2`n`(Switch,%)->%`dFortranCode``1076956
orepeatedIndex`1`n`(%)->List(PositiveInteger)`cJetBundleCategory``1077038
orepeatedIndex`1`n`(S)->List(PositiveInteger)`xJetBundleCategory&(S)``0
orepeating?`2`x`(List(S),%)->Boolean`dStream(S)`has(S,SetCategory)`1077152
orepeating`1`x`(List(S))->%`dStream(S)``1077290
oreplaceDiffs`3`n`(F,BasicOperator,Symbol)->F`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oreplaceKthElement`3`n`(%,PositiveInteger,PositiveInteger)->Union(%,"failed")`dSetOfMIntegersInOneToN(m,n)``1077374
oreplace`3`x`(%,UniversalSegment(Integer),%)->%`cStringAggregate``1077575
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``1077683
orepresentation`1`n`(%)->List(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1077840
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))->%`cFramedModule(R)``1077953
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`n`(Vector(R))->S`xOctonionCategory&(S,R)``0
orepresents`2`n`(Vector(F),Vector(S))->S`xFiniteAlgebraicExtensionField&(S,F)``0
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)``1078107
orepresents`2`x`(Vector(R),Vector(%))->%`cFiniteRankNonAssociativeAlgebra(R)``1078206
orepresents`2`x`(Vector(UP),UP)->%`cFunctionFieldCategory(F,UP,UPUP)``1078330
oreseed`1`x`(Integer)->Void`pRandomNumberSource``1078434
oresetBadValues`1`n`(%)->%`dPattern(R)``1078508
oresetNewGreek`0`n`()->Void`pMathematicalSymbols``1078668
oresetNew`0`x`()->Void`dSymbol``1078788
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``1078915
oreset`1`n`(%)->Void`dTwoDimensionalViewport``1079039
oreset`1`x`(%)->Void`dThreeDimensionalViewport``1079255
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``1079475
oresize`3`n`(%,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``1079598
oresize`3`x`(%,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``1079849
orest`1`n`(%)->%`dFreeMagma(VarSet)``1080104
orest`1`n`(%)->%`dFreeMonoid(S)``1080241
orest`1`n`(%)->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``1080305
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`x`(%)->%`cUnaryRecursiveAggregate(S)``1080382
orest`1`x`(%)->Union(%,"failed")`cTriangularSetCategory(R,E,V,P)``1080522
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)``1080686
oresult`1`n`(%)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``1080785
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1080990
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1081101
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1081260
oresultantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``1081354
oresultant`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1081433
oresultant`2`x`(%,%)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`1081647
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`n`(U32Vector,U32Vector,Integer)->Integer`pU32VectorPolynomialOperations``1081743
oresultant`3`x`(%,%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`1081845
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``1081984
oretractIfCan`1`n`(Expression(Float))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1082113
oretractIfCan`1`n`(Expression(Integer))->Union(%,"failed")`cFortranFunctionCategory``1082455
oretractIfCan`1`n`(Expression(Integer))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1082584
oretractIfCan`1`n`(Expression(R))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1082926
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``1083268
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(%,"failed")`cFortranFunctionCategory``1083312
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1083441
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(%,"failed")`cFortranFunctionCategory``1083783
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1083912
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(%,"failed")`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1084254
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(%,"failed")`dJetBundleXExpression(JB)``1084342
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Matrix(Expression(Float)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1084464
oretractIfCan`1`n`(Matrix(Expression(Integer)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1084593
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Float))))->Union(%,"failed")`cFortranMatrixFunctionCategory``1084722
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(%,"failed")`cFortranMatrixFunctionCategory``1084851
oretractIfCan`1`n`(Matrix(Polynomial(Float)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1084980
oretractIfCan`1`n`(Matrix(Polynomial(Integer)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1085109
oretractIfCan`1`n`(Polynomial(Float))->Union(%,"failed")`cFortranFunctionCategory``1085238
oretractIfCan`1`n`(Polynomial(Float))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1085367
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(%,"failed")`cFortranFunctionCategory``1085709
oretractIfCan`1`n`(Polynomial(Integer))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1085838
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(%,"failed")`cRetractableFrom(S)``1086180
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`(Symbol)->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1086318
oretractIfCan`1`n`(Vector(Expression(Float)))->Union(%,"failed")`cFortranVectorFunctionCategory``1086592
oretractIfCan`1`n`(Vector(Expression(Integer)))->Union(%,"failed")`cFortranVectorFunctionCategory``1086721
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Float))))->Union(%,"failed")`cFortranVectorFunctionCategory``1086850
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Integer))))->Union(%,"failed")`cFortranVectorFunctionCategory``1086979
oretractIfCan`1`n`(Vector(Polynomial(Float)))->Union(%,"failed")`cFortranVectorFunctionCategory``1087108
oretractIfCan`1`n`(Vector(Polynomial(Integer)))->Union(%,"failed")`cFortranVectorFunctionCategory``1087237
oretractIfCan`1`x`(%)->Union(S,"failed")`cRetractableTo(S)``1087366
oretractIfCan`1`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``1087516
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1087682
oretractIfCan`1`x`(Polynomial(Integer))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1087809
oretractIfCan`1`x`(Polynomial(R))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1087936
oretract_Q`1`n`(F)->Union(Fraction(Integer),"failed")`pFunctionalSpecialFunction(R,F)``1088063
oretract`1`n`(%)->List(D)`dJetDifferentialEquation(JB,D)``1088122
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``1088213
oretract`1`n`(Expression(Float))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1088337
oretract`1`n`(Expression(Integer))->%`cFortranFunctionCategory``1088666
oretract`1`n`(Expression(Integer))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1088790
oretract`1`n`(Expression(R))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1089119
oretract`1`n`(Fraction(Polynomial(Float)))->%`cFortranFunctionCategory``1089448
oretract`1`n`(Fraction(Polynomial(Float)))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1089572
oretract`1`n`(Fraction(Polynomial(Integer)))->%`cFortranFunctionCategory``1089901
oretract`1`n`(Fraction(Polynomial(Integer)))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1090025
oretract`1`n`(JetBundleExpression(JB))->%`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1090354
oretract`1`n`(JetBundleExpression(JB))->%`dJetBundleXExpression(JB)``1090481
oretract`1`n`(Matrix(Expression(Float)))->%`cFortranMatrixFunctionCategory``1090608
oretract`1`n`(Matrix(Expression(Integer)))->%`cFortranMatrixFunctionCategory``1090732
oretract`1`n`(Matrix(Fraction(Polynomial(Float))))->%`cFortranMatrixFunctionCategory``1090856
oretract`1`n`(Matrix(Fraction(Polynomial(Integer))))->%`cFortranMatrixFunctionCategory``1090980
oretract`1`n`(Matrix(Polynomial(Float)))->%`cFortranMatrixFunctionCategory``1091104
oretract`1`n`(Matrix(Polynomial(Integer)))->%`cFortranMatrixFunctionCategory``1091228
oretract`1`n`(Polynomial(Float))->%`cFortranFunctionCategory``1091352
oretract`1`n`(Polynomial(Float))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1091476
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->%`cFortranFunctionCategory``1091805
oretract`1`n`(Polynomial(Integer))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1091929
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->%`cRetractableFrom(S)``1092258
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`(Symbol)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1092381
oretract`1`n`(Vector(Expression(Float)))->%`cFortranVectorFunctionCategory``1092642
oretract`1`n`(Vector(Expression(Integer)))->%`cFortranVectorFunctionCategory``1092766
oretract`1`n`(Vector(Fraction(Polynomial(Float))))->%`cFortranVectorFunctionCategory``1092890
oretract`1`n`(Vector(Fraction(Polynomial(Integer))))->%`cFortranVectorFunctionCategory``1093014
oretract`1`n`(Vector(Polynomial(Float)))->%`cFortranVectorFunctionCategory``1093138
oretract`1`n`(Vector(Polynomial(Integer)))->%`cFortranVectorFunctionCategory``1093262
oretract`1`x`(%)->S`cRetractableTo(S)``1093386
oretract`1`x`(Any)->S`pAnyFunctions1(S)``1093521
oretract`1`x`(Polynomial(Fraction(Integer)))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1093685
oretract`1`x`(Polynomial(Integer))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1093852
oretract`1`x`(Polynomial(R))->%`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1094019
oretractable?`1`n`(%)->Boolean`dAntiSymm(R,lVar)``1094186
oretractable?`1`n`(%)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``1094292
oretractable?`1`n`(%)->Boolean`dFreeMagma(VarSet)``1094419
oretractable?`1`n`(%)->Boolean`dLyndonWord(VarSet)``1094498
oretractable?`1`n`(%)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``1094577
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``1094673
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1094771
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1094895
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),%)->Void`dTheSymbolTable``1095022
oreturnTypeOf`2`n`(Symbol,%)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``1095149
oreturns`0`n`()->%`dFortranCode``1095238
oreturns`1`n`(Expression(Complex(Float)))->%`dFortranCode``1095318
oreturns`1`n`(Expression(Float))->%`dFortranCode``1095421
oreturns`1`n`(Expression(Integer))->%`dFortranCode``1095524
oreturns`1`n`(Expression(MachineComplex))->%`dFortranCode``1095627
oreturns`1`n`(Expression(MachineFloat))->%`dFortranCode``1095730
oreturns`1`n`(Expression(MachineInteger))->%`dFortranCode``1095833
oreverse!`1`n`(%)->%`dListMonoidOps(S,E,un)``1095936
oreverse!`1`n`(A)->A`xListAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oreverse!`1`x`(%)->%`cDequeueAggregate(S)``1096046
oreverse!`1`x`(%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable))`1096219
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1096298
oreverse`1`n`(%)->%`dListMonoidOps(S,E,un)``1096495
oreverse`1`n`(A)->A`xLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1096714
oreverse`1`x`(%)->%`cLinearAggregate(S)`has(%,finiteAggregate)`1096783
oreverse`1`x`(%)->%`cSegmentCategory(S)`has(S,OrderedRing)`1096867
oreverse`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``1096935
orevert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
orevert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``1097041
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``1097236
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)`1097423
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1097729
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)`1098122
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1098406
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)``1098993
orho`0`n`()->Symbol`pMathematicalSymbols``1099811
orhs`1`n`(%)->S2`dSuchThat(S1,S2)``1099874
orhs`1`x`(%)->F`dRewriteRule(Base,R,F)``1099930
orhs`1`x`(%)->S`dEquation(S)``1100001
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1100076
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1100190
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1100304
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1100525
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1100692
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1100913
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1101080
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1101354
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``1101628
oriemannZeta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1101683
oriemannZeta`1`x`(%)->%`cSpecialFunctionCategory``1101742
oriemannZeta`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``1101801
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``1101860
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``1102087
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``1102314
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``1102474
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``1102847
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)``1103220
orightDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1103536
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`1103746
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(%,%)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1104003
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)`1104114
orightFactorIfCan`3`x`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``1104237
orightFactor`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1104527
orightFamily`1`n`(%)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``1104682
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1104745
orightIdentity`1`n`(%)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1104986
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1105052
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1105254
orightMinimization`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1105490
orightMult`2`n`(%,S)->%`dListMonoidOps(S,E,un)``1105670
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``1105799
orightOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Group)`1105899
orightOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Monoid)`1105958
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``1106017
orightPower`2`x`(%,PositiveInteger)->%`cMagma``1106216
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1106415
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`1106610
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``1106708
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`1106949
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1107190
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)`1107357
orightRecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``1107579
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(%)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1107770
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)``1107944
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1108250
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``1108446
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``1108643
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1108933
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)``1109223
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``1109439
orightTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
orightTrim`2`x`(%,CharacterClass)->%`cStringAggregate``1109534
orightTrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1109732
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1109918
orightUnits`0`n`()->Union(Record(particular:%,basis:List(%)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``1110045
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`x`()->Union(Record(particular:%,basis:List(%)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1110170
orightZero`1`x`(%)->%`dEquation(S)`has(S,AbelianGroup)`1110296
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)`1110355
oright`1`n`(%)->%`dFreeMagma(VarSet)``1110594
oright`1`n`(%)->%`dLyndonWord(VarSet)``1110726
oright`1`n`(%)->%`dOutputForm``1110859
oright`1`x`(%)->%`cBinaryRecursiveAggregate(S)``1110928
oright`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1110976
oright`2`n`(%,Integer)->%`dOutputForm``1111051
orischNormalize`2`x`(F,List(Symbol))->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1111141
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1111222
orischNormalize`2`x`(List(F),List(Symbol))->Record(funcs:List(F),kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1111526
orisch_de_ext`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``1111755
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1112036
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1112684
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1112959
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1113304
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``1113806
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``1114323
ormap`2`x`((Kernel(F))->F,F)->F`pElementaryFunctionStructurePackage(R,F)``1114798
oroman`1`x`(Integer)->%`dRomanNumeral``1114908
oroman`1`x`(Symbol)->%`dRomanNumeral``1114969
oromberg`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1115037
orombergo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1115733
oroot?`1`n`(%)->Boolean`dSubSpace(n,R)``1116423
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1116460
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)))`1116557
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)))`1116794
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``1116867
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``1117074
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`(%)->%`cAlgebraicallyClosedFunctionSpace(R)``1117324
orootOf`1`x`(Polynomial(%))->%`cAlgebraicallyClosedField``1117448
orootOf`1`x`(SparseUnivariatePolynomial(%))->%`cAlgebraicallyClosedField``1117572
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1117640
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`(%,Symbol)->%`cAlgebraicallyClosedFunctionSpace(R)``1117756
orootOf`2`x`(SparseUnivariatePolynomial(%),PositiveInteger)->Union(%,"failed")`cRealClosedField``1117872
orootOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedField``1117984
orootOf`2`x`(ThePols,PositiveInteger)->Union(%,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1118100
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(%),PositiveInteger,OutputForm)->Union(%,"failed")`cRealClosedField``1118191
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``1118311
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1118484
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1118640
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``1118869
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``1119084
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1119210
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``1119437
orootSum`3`n`(F,SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1119664
orootSum`3`x`(%,SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedFunctionSpace(R)``0
oroot`1`n`(%)->%`dOutputForm``1119702
oroot`2`n`(%,%)->%`dOutputForm``1119777
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->%`cPAdicIntegerCategory(p)``1119861
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`x`(%)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1119992
orootsOf`1`x`(Polynomial(%))->List(%)`cAlgebraicallyClosedField``1120283
orootsOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cAlgebraicallyClosedField``1120569
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`(%,Symbol)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1120799
orootsOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->List(%)`cAlgebraicallyClosedField``1121047
orotate!`1`x`(%)->%`cQueueAggregate(S)``1121295
orotate`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1121491
orotate`3`x`(%,Integer,Integer)->Void`dThreeDimensionalViewport``1121734
orotatex`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1122096
orotatey`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1122194
orotatez`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1122292
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1122390
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1122548
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)`1122664
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)`1122856
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1123066
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(%)->%`cRealNumberSystem``1123198
orouteArrowWeight`2`n`(%,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1123262
orouteArrows`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1123369
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orouteNodeWeight`2`n`(%,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1123576
orouteNodes`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1123682
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1123887
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1124055
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1124162
orowEchelon`1`n`(%)->Record(Ech:%,Lt:Matrix(D),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)``1124352
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1124654
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1124787
orowEchelon`1`n`(Matrix(LO))->Matrix(LO)`pOrePolynomialMatrixOperations(F,LO)``1124868
orowEchelon`1`x`(%)->%`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`1124949
orowEchelon`1`x`(%)->%`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`1125030
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1125111
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1125192
orowEchelon`3`n`(Matrix(LO),F,List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pOrePolynomialMatrixOperations(F,LO)``1125485
orowMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``1125707
orowSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orowSlice`1`x`(%)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``1125815
orowSpan`1`n`(%)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1125963
orow_operation_base`6`n`(M,Integer,Integer,Integer,Integer,R)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1126118
orow_operation_modular`7`n`(M,Integer,Integer,Integer,Integer,R,Integer)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1126186
orow`2`n`(%,Integer)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``1126257
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`x`(%,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1126342
orow`2`x`(%,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1126468
orows`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1126587
orows`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1126680
orquo`2`n`(%,%)->Union(%,"failed")`dFreeMonoid(S)``1126773
orquo`2`n`(%,S)->Union(%,"failed")`dFreeMonoid(S)``1126968
orquo`2`x`(%,%)->%`cXFreeAlgebra(vl,R)``1127053
orquo`2`x`(%,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``1127138
orquo`2`x`(%,vl)->%`cXFreeAlgebra(vl,R)``1127223
orquo`2`x`(XRecursivePolynomial(VarSet,R),%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1127321
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1127406
orsimp1`2`n`(Expression(Integer),Integer)->Union(Expression(Integer),"failed")`pRootSimplification``1127503
orsimp`1`n`(Expression(Integer))->Union(Expression(Integer),"failed")`pRootSimplification``1127709
orspace`2`n`(Integer,Integer)->%`dOutputForm``1127850
orst`1`x`(%)->%`cLazyStreamAggregate(S)``1127946
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1128139
orule`2`x`(F,F)->%`dRewriteRule(Base,R,F)``1130718
orule`3`x`(F,F,List(Symbol))->%`dRewriteRule(Base,R,F)``1130863
orules`1`x`(%)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1131259
oruleset`1`x`(List(RewriteRule(Base,R,F)))->%`dRuleset(Base,R,F)``1131323
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1131411
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1131476
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1132602
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1133076
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1133233
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1133266
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1133278
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1133413
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1133564
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1133719
osafety`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``1133918
osafety`1`x`(NonNegativeInteger)->%`dGuessOption``1133985
osameFace?`2`n`(%,%)->Boolean`dCubicalFacet``1134139
osameFace?`2`n`(%,%)->Boolean`dOrientedFacet``1134226
osamplePoint`1`n`(%)->List(TheField)`dCell(TheField)``1134312
osamplePoint`1`n`(%)->TheField`dSimpleCell(TheField,ThePols)``1134378
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``1134444
osample`0`x`()->%`cAggregate``1134491
osample`0`x`()->%`cMagmaWithUnit``1134538
osample`0`x`()->%`dCartesianTensor(minix,dim,R)``1134585
osample`0`x`()->%`dSymbol``1134638
osatisfy?`2`n`(%,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1134684
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1134918
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1135030
osaturate`2`x`(%,DPoly)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1135175
osaturate`3`x`(%,DPoly,List(VarSet))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1135323
osave`0`n`()->%`dFortranCode``1135492
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1135559
osayLength`1`x`(String)->Integer`pDisplayPackage``1135650
osay`1`x`(List(String))->Void`pDisplayPackage``1135732
osay`1`x`(String)->Void`pDisplayPackage``1135797
oscalar?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1135853
oscalar?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1135898
oscalarMatrix`1`x`(R)->%`cSquareMatrixCategory(ndim,R,Row,Col)``1135967
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->%`cMatrixCategory(R,Row,Col)``1136097
oscalarTypeOf`1`n`(%)->Union(fst:FortranScalarType,void:"void")`dFortranType``1136232
oscaleALS`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``1136304
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1136412
oscale`1`n`(F)->%`dMoebiusTransform(F)``1136516
oscale`2`n`(%,F)->%`dMoebiusTransform(F)``1136624
oscale`3`x`(R,R,R)->%`dDenavitHartenbergMatrix(R)``1136725
oscale`4`n`(%,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1136844
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1137164
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1137850
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1138082
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1138499
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1138830
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1139155
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1139387
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1139711
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1140035
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1140230
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1140339
oscreenCoordX`1`n`(%)->DoubleFloat`cSPointCategory``1140599
oscreenCoordY`1`n`(%)->DoubleFloat`cSPointCategory``1140687
oscreenCoordZ`1`n`(%)->DoubleFloat`cSPointCategory``1140775
oscreenCoords`1`n`(%)->List(DoubleFloat)`cSPointCategory``1140865
oscreenResolution3D`0`n`()->Integer`dPlot3D``1140934
oscreenResolution`0`n`()->Integer`dPlot``1141015
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1141078
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1141151
oscript`2`x`(%,List(List(OutputForm)))->%`dSymbol``1141225
oscript`2`x`(%,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->%`dSymbol``1141581
oscripted?`1`x`(%)->Boolean`dSymbol``1141782
oscripts`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1141864
oscripts`1`x`(%)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1142240
oscripts`2`n`(%,List(%))->%`dOutputForm``1142302
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1142524
osearch`2`x`(Key,%)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1142583
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1142791
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1142889
osec`1`n`(F)->F`pElementaryFunction(R,F)``1142976
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)``1143037
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1143104
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1143171
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1143239
osec`1`x`(%)->%`cTrigonometricFunctionCategory``1143309
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1143362
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1143464
osech`1`n`(F)->F`pElementaryFunction(R,F)``1143553
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)``1143626
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1143709
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1143792
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1143872
osech`1`x`(%)->%`cHyperbolicFunctionCategory``1143954
osecond`1`n`(%)->B`dProduct(A,B)``1144019
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`x`(%)->S`cUnaryRecursiveAggregate(S)``1144083
oseedRandom`0`x`()->Void`dInteger``1144188
oseed`0`x`()->Integer`pRandomNumberSource``1144443
osegment`1`x`(%)->Segment(S)`dSegmentBinding(S)``1144496
osegment`1`x`(S)->%`dUniversalSegment(S)``1144700
osegment`2`x`(S,S)->%`cSegmentCategory(S)``1144782
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)`1144867
oselect!`2`x`((S)->Boolean,%)->%`cExtensibleLinearAggregate(S)``1145014
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1145130
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1145379
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1145626
oselect`2`n`(%,NonNegativeInteger)->S`dTuple(S)``1145831
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`x`(%,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``1145930
oselect`2`x`((S)->Boolean,%)->%`cCollection(S)`has(%,finiteAggregate)`1146038
oselect`2`x`((S)->Boolean,%)->%`cLazyStreamAggregate(S)``1146211
oselect`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``1146390
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1146457
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1146668
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1146819
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1147028
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1147226
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1147341
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1147496
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1147657
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1147873
osemicolonSeparate`1`n`(List(%))->%`dOutputForm``1148129
osendGraphImage`1`n`(%)->Void`dGraphImage``1148232
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(%)->%`cDifferentialPolynomialCategory(R,S,V,E)``1148515
oseparate_factors`2`n`(List(()->List(PrimitiveArray(PrimeField(p)))),Integer)->List(UP)`pGaloisGroupFactorizerSeparate(p,UP)``0
oseparate`1`n`(%)->List(%)`dSubSpace(n,R)``1148640
oseparate`1`n`(Fraction(UP))->Record(polyPart:%,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1148806
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)`1148846
osequence`1`n`(Stream(R))->%`cSequenceCategory(R)``1149015
osequence`2`n`((R)->R,R)->%`cSequenceCategory(R)``1149083
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1149237
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1149453
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)``1149825
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1150074
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1150185
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1150611
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1150732
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1150851
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1151000
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1151425
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1151644
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1151883
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1152090
oseries`1`n`(Stream(Coef))->%`dInnerTaylorSeries(Coef)``1152198
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->%`dInnerSparseUnivariatePowerSeries(Coef)``1152628
oseries`1`n`(Stream(SMP))->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``1152827
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1152900
oseries`1`x`(Stream(Coef))->%`cUnivariateTaylorSeriesCategory(Coef)``1153081
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->%`cUnivariateLaurentSeriesCategory(Coef)``1153181
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->%`cUnivariateTaylorSeriesCategory(Coef)``1153380
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1153579
oseries`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)``1153640
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1153727
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1153833
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->%`cUnivariatePuiseuxSeriesCategory(Coef)``1154076
oseries`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``1154389
oseries`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1154586
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1154672
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
oseries`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``1154837
oseries`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1155083
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
oseries`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1155274
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``1155518
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1155637
osetArr`2`n`(%,List(List(Boolean)))->Void`cPoset(S)``1155750
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1155819
osetClosed`2`n`(%,Boolean)->Boolean`dTubePlot(Curve)``1155942
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(%,Integer,Col)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1156117
osetCondition!`2`n`(%,C)->%`dSplittingNode(V,C)``1156205
osetDefault!`2`n`((String)->OutputBox,(String)->OutputBox)->Record(prolog:(String)->OutputBox,epilog:(String)->OutputBox)`dFormatter(F)``1156353
osetDialect`1`n`(Symbol)->Symbol`dTexFormat``1156510
osetDifference`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1156725
osetEmpty!`1`n`(%)->%`dSplittingNode(V,C)``1156899
osetEpilogue!`2`n`(%,List(String))->List(String)`dTexFormat``1156967
osetEpilogue!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1157069
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1157195
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1157491
osetFormat!`1`n`(Type)->Void`pJFriCASSupport``1157682
osetFormat!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1157741
osetFormats!`1`n`(List(OutputFormatterCategory))->Void`dFormattedOutput``1157853
osetFormats!`1`n`(List(Type))->Void`pJFriCASSupport``1157964
osetGcdMode`1`n`(Symbol)->Symbol`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`1158232
osetHandler!`4`n`(%,Integer,String,HANDLER)->HANDLER`dOperatorHandlers(HANDLER)``1158414
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1158550
osetIntersection`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1158701
osetLabelValue`1`n`(SingleInteger)->SingleInteger`dFortranCode``1158883
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1158967
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1159056
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1159142
osetMinPoints`1`n`(Integer)->Integer`dPlot``1159231
osetMode`2`x`(String,Boolean)->Boolean`dCliffordAlgebra(n,K,bLin)``1159317
osetMult!`2`n`(%,Integer)->%`dOrientedFacet``1159415
osetMult!`2`n`(%,Integer)->%`dProductFacet``1159446
osetMult`2`n`(%,Integer)->%`dCubicalFacet``1159477
osetNotation`1`n`(Symbol)->Symbol`cJetBundleCategory``1159508
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)``1159603
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1159778
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1160143
osetOutMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1160587
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1161184
osetPosition`2`x`(%,NonNegativeInteger)->Void`cCachableSet``1161249
osetPredicates`2`n`(%,List(Any))->%`dPattern(R)``1161328
osetPrologue!`2`n`(%,List(String))->List(String)`dTexFormat``1161448
osetPrologue!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1161550
osetProperties`2`x`(%,AssociationList(Symbol,None))->%`dBasicOperator``1161676
osetProperty`3`x`(%,Symbol,None)->%`dBasicOperator``1161842
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1162037
osetRedMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1162183
osetRefined!`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1162493
osetRow!`3`n`(%,Integer,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``1162636
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`x`(%,Integer,Row)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1162758
osetRow!`4`n`(%,Integer,List(C),List(D))->Void`dSparseEchelonMatrix(C,D)``1162840
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1162992
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1163086
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``1163162
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1163442
osetSimplifyDenomsFlag`1`x`(Boolean)->Boolean`dExpression(R)`has(R,IntegralDomain)`1163559
osetStatus!`2`n`(%,Boolean)->%`dSplittingNode(V,C)``1163749
osetStatus`2`n`(%,Union(Boolean,"failed"))->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1163891
osetTex!`2`n`(%,List(String))->List(String)`dTexFormat``1164247
osetTopPredicate`3`n`(%,List(Symbol),Any)->%`dPattern(R)``1164339
osetTransform!`2`n`(%,STransform(PT))->Void`dScene(PT)``1164478
osetUnion`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1164576
osetValue!`2`n`(%,V)->%`dSplittingNode(V,C)``1164747
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1164887
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1165028
osetVert`2`n`(%,List(S))->Void`cPoset(S)``1165218
oset_output_mode`2`x`(String,Integer)->Void`dFloat``1165292
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->%`cSetAggregate(S)``1165380
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->%`cSetAggregate(S)``1165459
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(%,List(%))->%`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1165581
osetelt!`2`n`(%,S)->S`dReference(S)``1165716
osetelt!`3`n`(%,NonNegativeInteger,F)->F`dFreeDivisionAlgebra(VAR,F)``1165800
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`x`(%,"first",S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1165895
osetelt!`3`x`(%,"last",S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1166015
osetelt!`3`x`(%,"left",%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1166132
osetelt!`3`x`(%,"rest",%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1166248
osetelt!`3`x`(%,"right",%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1166365
osetelt!`3`x`(%,"value",S)->S`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1166484
osetelt!`3`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(%,shallowlyMutable)`1166602
osetelt!`3`x`(%,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1166792
osetelt!`3`x`(%,Symbol,Any)->Any`dLibrary``1166911
osetelt!`3`x`(%,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(%,shallowlyMutable)`1167038
osetelt!`4`n`(%,Integer,C,D)->Void`dSparseEchelonMatrix(C,D)``1167332
osetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``1167487
osetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,XDistributedPolynomial(VAR,F))->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``1167655
osetelt!`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1167845
osetelt!`4`x`(%,Integer,List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1168027
osetelt!`4`x`(%,Integer,List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1168153
osetelt!`4`x`(%,List(Integer),Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1168368
osetelt!`4`x`(%,List(Integer),List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1168494
osetelt!`4`x`(%,List(Integer),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1168841
osetelt!`4`x`(%,List(Segment(Integer)),Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1168983
osetelt!`4`x`(%,List(Segment(Integer)),List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1169198
osetelt!`4`x`(%,List(Segment(Integer)),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1169405
osetelt!`4`x`(%,Segment(Integer),List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1169611
osetelt!`4`x`(%,Segment(Integer),List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1169753
osetelt!`4`x`(%,Segment(Integer),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1169959
osetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``1170109
osetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1170256
osetfirst!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1170429
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1170554
osetleaves!`2`x`(%,List(S))->%`dBalancedBinaryTree(S)``1170677
osetleft!`2`x`(%,%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1170792
osetnext!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`1170871
osetprevious!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`1171006
osetref`2`n`(%,S)->S`dReference(S)``1171149
osetrest!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1171210
osetrest!`3`x`(%,Integer,%)->%`dStream(S)``1171325
osetright!`2`x`(%,%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1171452
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(%,Integer,Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1171533
osetsubMatrix!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Matrix(R))->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1171763
osetsubPencil!`4`n`(%,NonNegativeInteger,NonNegativeInteger,%)->%`dLinearMultivariateMatrixPencil(R)``1171904
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(%,S)->S`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1172052
osh`2`x`(%,%)->%`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1172129
osh`2`x`(%,NonNegativeInteger)->%`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1172259
oshade`1`n`(Point(R))->R`pPointPackage(R)``1172339
oshade`1`x`(%)->Integer`dPalette``1172668
oshallowCopy`1`n`(%)->%`dSubSpace(n,R)``1172750
oshallowExpand`1`x`(%)->OutputForm`dFreeNilpotentLie(n,class,R)``1172793
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1172903
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1173183
oshiftHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oshiftHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(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)``1173308
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oshiftHP`1`x`(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)))`1173417
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oshiftLeft`1`n`(List(T))->List(T)`pListPackage(T)``1173594
oshiftLeft`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)``1173700
oshiftRight`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`1173768
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1173860
oshift_mat!`3`n`(MMT,Integer,Integer)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1173977
oshift`1`n`(F)->%`dMoebiusTransform(F)``1174202
oshift`2`n`(%,F)->%`dMoebiusTransform(F)``1174310
oshift`2`x`(%,%)->%`cIntegerNumberSystem``1174411
oshift`2`x`(%,Integer)->%`dFloat``1174474
oshift`2`x`(%,Integer)->%`dNonNegativeInteger``1174551
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1174612
oshowAllElements`1`x`(%)->OutputForm`dStream(S)`has(S,SetCategory)`1174711
oshowArrayValues`1`n`(Boolean)->Boolean`dResult``1174805
oshowClipRegion`2`x`(%,String)->Void`dThreeDimensionalViewport``1174939
oshowElements`2`x`(NonNegativeInteger,%)->OutputForm`dStream(S)`has(S,SetCategory)`1175194
oshowFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``1175304
oshowRegion`2`x`(%,String)->Void`dThreeDimensionalViewport``1175376
oshowScalarValues`1`n`(Boolean)->Boolean`dResult``1175621
oshowTheSymbolTable`0`n`()->%`dTheSymbolTable``1175757
oshowTypeInOutput`1`x`(Boolean)->String`dAny``1175826
oshow`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1176099
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1176352
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1176472
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1176684
osierpinskiDivide`2`n`(%,NonNegativeInteger)->%`dSceneIFS(PT)``1176829
osigma`0`n`()->Symbol`pMathematicalSymbols``1177011
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1177078
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1177130
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1177182
osign`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1177239
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1177291
osign`1`n`(S)->Integer`xOrderedRing&(S)``0
osign`1`x`(%)->%`cSpecialFunctionCategory``1177327
osign`1`x`(%)->Integer`cOrderedRing``1177379
osign`1`x`(%)->Integer`dPermutation(S)``1177494
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1177590
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1177826
osign`2`x`(ThePols,%)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1177906
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1177996
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1178126
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1178261
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1178423
osimpMod`2`n`(List(%),List(%))->List(%)`cJetBundleFunctionCategory(JB)``1178649
osimpMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osimpMod`3`n`(List(%),SparseEchelonMatrix(JB,%),List(%))->Record(Sys:List(%),JM:SparseEchelonMatrix(JB,%),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1178750
osimpMod`3`n`(List(S),SparseEchelonMatrix(JB,S),List(S))->Record(Sys:List(S),JM:SparseEchelonMatrix(JB,S),Depend:Union("failed",List(List(NonNegativeInteger))))`xJetBundleFunctionCategory&(S,JB)``0
osimpOne`1`n`(%)->%`cJetBundleFunctionCategory(JB)``1178900
osimpOne`1`n`(S)->S`xJetBundleFunctionCategory&(S,JB)``0
osimpleCells`1`n`(%)->List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)))`dCell(TheField)``1178993
osimplicialComplexIfCan`1`n`(DeltaComplex(VS))->Union(%,"failed")`dFiniteSimplicialComplex(VS)``1179125
osimplicialComplexIfCan`2`n`(DeltaComplex(VS),Boolean)->Union(%,"failed")`dFiniteSimplicialComplex(VS)``1179306
osimplicialComplex`1`n`(List(VS))->%`dFiniteSimplicialComplex(VS)``1179498
osimplicialComplex`2`n`(List(VS),List(List(NonNegativeInteger)))->%`dFiniteSimplicialComplex(VS)``1179529
osimplicialComplex`3`n`(List(VS),NonNegativeInteger,List(List(NonNegativeInteger)))->%`dFiniteSimplicialComplex(VS)``1179581
osimplicialJoin`3`n`(%,%,Boolean)->%`dFiniteSimplicialComplex(VS)``1179633
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))`1180025
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1180096
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1180425
osimplify`1`n`(%)->%`dGroupPresentation``1180636
osimplify`1`n`(%)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1181168
osimplify`1`n`(%)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``1181472
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1181661
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1181725
osimplify`2`n`(%,Boolean)->%`dGroupPresentation``1182195
osimplify`2`n`(List(%),SparseEchelonMatrix(JB,%))->Record(Sys:List(%),JM:SparseEchelonMatrix(JB,%),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1182232
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
osimpson`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1182683
osimpsono`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1183369
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1184059
osin?`1`n`(%)->Boolean`dFourierComponent(E)``1184157
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1184242
osin`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1184329
osin`1`n`(E)->%`dFourierComponent(E)``1184396
osin`1`n`(F)->F`pElementaryFunction(R,F)``1184462
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)``1184521
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1184586
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1184651
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1184717
osin`1`x`(%)->%`cTrigonometricFunctionCategory``1184785
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1184836
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1184938
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1185417
osingleFace`1`n`(List(PT))->%`dSceneIFS(PT)``1186002
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1186099
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1186285
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1186541
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1186608
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1186678
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1186759
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1186861
osinh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1186950
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1187019
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)``1187090
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1187171
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1187252
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1187330
osinh`1`x`(%)->%`cHyperbolicFunctionCategory``1187410
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1187473
osipnt`2`n`(Integer,Integer)->%`cSPointCategory``1187588
osipnt`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`3`n`(Integer,Integer,Integer)->%`cSPointCategory``1187680
osipnt`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osivec`2`n`(Integer,Integer)->%`cSPointCategory``1187789
osivec`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osivec`3`n`(Integer,Integer,Integer)->%`cSPointCategory``1187882
osivec`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
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``1187992
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(%,%)->Boolean`cEuclideanDomain``1188069
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1188285
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1188465
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1188645
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1188825
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1188928
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``1189024
osize`0`x`()->NonNegativeInteger`cFinite``1189088
osize`1`n`(%)->NonNegativeInteger`dFreeGroup(S)``1189152
osize`1`n`(%)->NonNegativeInteger`dFreeMonoid(S)``1189219
osize`1`n`(%)->NonNegativeInteger`dListMonoidOps(S,E,un)``1189286
osize`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1189358
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1189400
oski`1`n`(UT)->%`dSKICombinators(UT)``1189591
oski`2`n`(%,%)->%`dSKICombinators(UT)``1189629
oslash`2`n`(%,%)->%`dOutputForm``1189682
oslash`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1189780
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1190039
osmaller?`2`n`(%,%)->Boolean`cComparable``1190233
osmaller?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xFreeModuleCategory&(A,R,S)``0
osmaller?`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
osmaller?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
osmaller?`2`n`(S,S)->Boolean`xFinite&(S)``0
osmaller?`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
osmaller?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
osmaller?`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osmesh`2`n`(List(List(PT)),Boolean)->%`dSceneIFS(PT)``1190319
osmith`1`n`(Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1190432
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1190494
osmith`2`n`(Matrix(Integer),(Matrix(Integer))->Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1190571
osn2`2`x`(Complex(Float),List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``1190716
osn2`2`x`(Float,List(Float))->Float`pFloatEllipticFunctions``1190737
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1190758
osolid?`1`n`(%)->Boolean`dSubSpaceComponentProperty``1190807
osolid`2`n`(%,Boolean)->Boolean`dSubSpaceComponentProperty``1190845
osolutionVector`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1190887
osolutionVector`2`n`(%,NonNegativeInteger)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1190992
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1191150
osolveFor`2`n`(%,JB)->Union(%,"failed")`cJetBundleFunctionCategory(JB)``1191421
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1191513
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1191663
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)``1191811
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)``1191927
osolveLinearOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1192340
osolveLinearOverConstants`3`n`(Vector(F),F,List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1192555
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1192770
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1193019
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1193436
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1193701
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1194016
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``1194281
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))`1194546
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1194742
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))`1194938
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1195134
osolveLinearlyOverQ`2`x`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1195330
osolveLinearlyOverQ`2`x`(Vector(R),R)->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1195533
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1195736
osolveUniquely`2`n`(Matrix(S),Vector(S))->Union(Vector(S),"failed")`pLinearSystemMatrixPackage2(S)``1195992
osolve_u`3`n`(F,F,Symbol)->Union(List(List(F)),"failed")`pDenominatorIntegration(R,F)``1196138
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1196348
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1196528
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1196565
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1196775
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1196905
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1197104
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1197241
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1197394
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1197534
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1197712
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1197829
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1197945
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1198130
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1198335
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1198449
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1198630
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1198845
osolve`2`x`(List(Equation(Expression(R))),List(Expression(R)))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1198984
osolve`2`x`(List(Equation(Expression(R))),List(Kernel(Expression(R))))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1199210
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1199351
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1199492
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1199697
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1199851
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1200066
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1200207
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1200416
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1200564
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1200712
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1200921
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1201130
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1201249
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)``1201397
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)``1201499
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1201925
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1202724
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1203476
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1204044
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1204457
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1204870
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1205196
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)``1205455
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1206041
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1206336
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1206631
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1206879
osomeBasis`0`x`()->Vector(%)`cFiniteRankNonAssociativeAlgebra(R)``1207064
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))`1207126
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))`1207204
osortLD`1`n`(List(%))->List(%)`cJetBundleFunctionCategory(JB)``1207288
osortLD`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osort`1`n`(%)->%`dFiniteSimplicialComplex(VS)``1207388
osort`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort`1`x`(%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`1207400
osort`1`x`(List(%))->List(%)`dPermutation(S)``1207513
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`(%,VarSet)->Record(under:%,floor:%,upper:%)`cPolynomialSetCategory(R,E,VarSet,P)``1207797
osort`2`x`((S,S)->Boolean,%)->%`cLinearAggregate(S)`has(%,finiteAggregate)`1207994
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))`1208096
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)`1208179
osortedPurge!`2`n`(%,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``1208270
ospace`0`x`()->%`dCharacter``1208429
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1208481
ospace`1`x`(ThreeSpace(DoubleFloat))->%`dDrawOption``1208677
ospanningForestArrow`1`n`(%)->List(Tree(Integer))`cFiniteGraph(S)``1208788
ospanningForestArrow`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestNode`1`n`(%)->List(Tree(Integer))`cFiniteGraph(S)``1208869
ospanningForestNode`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningTreeArrow`2`n`(%,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1208950
ospanningTreeArrow`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeNode`2`n`(%,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1209423
ospanningTreeNode`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``1209800
ospecial_order`2`n`(S,List(UP))->Integer`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ospecial_order`2`x`(%,List(UP))->Integer`cFunctionFieldCategory(F,UP,UPUP)``1209867
ospecialise`2`n`(List(Polynomial(TheField)),Cell(TheField))->List(SparseUnivariatePolynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``1210077
osphereSolid`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1210182
osphereSolid`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1210347
osphereSurface`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1210518
osphereSurface`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1210693
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1210901
osplit!`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1211169
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1211490
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1211617
osplitDenominator`1`n`(P)->Record(num:P,den:R)`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``1211806
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1211960
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1212149
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)``1212299
osplitList`2`n`((T)->Boolean,List(T))->Record(yes:List(T),no:List(T))`pListPackage(T)``1212517
osplitNodeOf!`3`n`(%,%,List(SplittingNode(V,C)))->%`dSplittingTree(V,C)``1212647
osplitNodeOf!`4`n`(%,%,List(SplittingNode(V,C)),(C,C)->Boolean)->%`dSplittingTree(V,C)``1212899
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1213170
osplit_mat!`6`n`(MMT,Integer,Integer,Integer,PMD,PMD)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1213506
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1213883
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1214077
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1214271
osplit`2`n`(P,(P)->P)->Record(normal:P,special:P)`pParallelIntegrationTools(R,V,P)``1214362
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1214628
osplit`2`x`(%,Character)->List(%)`cStringAggregate``1214895
osplit`2`x`(%,CharacterClass)->List(%)`cStringAggregate``1214985
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1215081
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1215884
osplit`2`x`(S,%)->Record(less:%,greater:%)`dBinarySearchTree(S)``1216031
ospnt`2`n`(DoubleFloat,DoubleFloat)->%`cSPointCategory``1216211
ospnt`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->%`cSPointCategory``1216303
osqfrFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``1216412
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1216567
osqrt`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1216646
osqrt`1`n`(%)->%`dInnerPrimeField(p)``1216715
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`x`(%)->%`cRadicalCategory``1216985
osqrt`1`x`(%)->%`cRealClosedField``1217125
osqrt`1`x`(%)->%`dPrimeField(p)``1217167
osqrt`1`x`(Fraction(Integer))->%`cRealClosedField``1217341
osqrt`1`x`(Integer)->%`cRealClosedField``1217383
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(%,Integer)->%`cPAdicIntegerCategory(p)``1217425
osqrt`2`x`(%,PositiveInteger)->%`cRealClosedField``1217550
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)``1217597
osquare?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1217772
osquareFreeBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``1217947
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1218053
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1218146
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1218545
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)`1218716
osquareFreePart`1`x`(%)->%`cUniqueFactorizationDomain``1218852
osquareFreePart`2`x`(P,%)->List(Record(val:P,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``1218965
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``1219478
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1219593
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1219679
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1219785
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1219963
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)``1220153
osquareFree`1`x`(%)->Factored(%)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1220327
osquareFree`1`x`(%)->Factored(%)`cUniqueFactorizationDomain``1220421
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1220606
osquareMatrix`1`n`(Matrix(R))->%`dSquareMatrix(ndim,R)``1220939
osquareTop`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osquareTop`1`x`(%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1221058
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1221229
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1221363
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1221497
ostack`1`x`(List(S))->%`dStack(S)``1221630
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1221786
ostar`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``1222461
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1222574
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1223018
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1223143
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1223249
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1223355
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)``1223461
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostarts`1`n`(List(Boolean))->%`dBitStreamFrame``1223570
ostarts`1`n`(String)->%`dBitStreamFrame``1223598
ostatement2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``1223668
ostatistics`0`n`()->Void`dJetLazyFunction(JB,D)``1223704
ostatistics`0`n`()->Void`pUnittestCount``1223914
ostatus`1`n`(%)->Boolean`dSplittingNode(V,C)``1224055
ostatus`1`n`(%)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1224120
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1224262
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1224366
ostirling`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1224472
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1224561
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1224834
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1225128
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1225219
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1225310
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1225401
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostop`0`n`()->%`dFortranCode``1225495
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)``1225562
ostransform`1`n`((PT)->PT)->%`dSTransform(PT)``1225745
ostransform`1`n`(List(DoubleFloat))->%`dSTransform(PT)``1225852
ostransform`1`n`(List(List(DoubleFloat)))->%`dSTransform(PT)``1225920
ostranslate`6`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->%`dSTransform(PT)``1225996
ostream`1`n`(%)->Stream(R)`cSequenceCategory(R)``1226280
ostream`1`x`(()->S)->%`dStream(S)``1226330
ostream`2`x`((S)->S,S)->%`dInfiniteTuple(S)``1226481
ostream`2`x`((S)->S,S)->%`dStream(S)``1226556
ostring?`1`n`(OutputForm)->Boolean`pOutputFormTools``1226794
ostring?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1226882
ostring`1`n`(OutputForm)->String`pOutputFormTools``1226971
ostring`1`x`(%)->Str`cSExpressionCategory(Str,Sym,Int,Flt)``1227084
ostring`1`x`(%)->String`dSymbol``1227221
ostring`1`x`(Integer)->%`cStringCategory``1227324
ostripCommentsAndBlanks`1`n`(String)->String`pTemplateUtilities``1227408
ostrongGenerators`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``1227551
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1227636
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``1227882
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``1228041
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1228164
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1228421
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)``1228678
ostructuralConstants`1`x`(Vector(%))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1228969
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1229248
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1229681
ostruveH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1230114
ostruveH`2`x`(%,%)->%`cSpecialFunctionCategory``1230177
ostruveL`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1230240
ostruveL`2`x`(%,%)->%`cSpecialFunctionCategory``1230395
ostube`3`n`(List(Record(source:(DoubleFloat)->PT,ranges:List(Segment(DoubleFloat)),knots:List(DoubleFloat),points:List(PT))),DoubleFloat,Integer)->%`dSceneIFS(PT)``1230550
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1230665
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1230725
ostyle`1`x`(String)->%`dDrawOption``1230870
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1231046
osu_irreducible?`1`n`(SparseUnivariatePolynomial(F))->Boolean`pUnivariateFiniteFieldFactorize(F,UP)``1231251
osub1!`2`n`(PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1231358
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1231433
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1231533
osubMatrix`3`n`(M,List(Integer),List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1231633
osubMatrix`3`n`(M,Segment(Integer),Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1231742
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)``1231851
osubMatrix`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1232063
osubNode?`3`n`(%,%,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1232203
osubNodeOf?`3`n`(SplittingNode(V,C),%,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1232341
osubPencil`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``1232519
osubPencil`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1232643
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1232755
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1232855
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1232955
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1233098
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1233241
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1233392
osubResultantChain`2`x`(%,%)->List(%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1233559
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1233747
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1233960
osubResultantGcd`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1234073
osubResultantGcd`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1234404
osubResultantsChain`2`n`(%,%)->List(%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1234552
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1234695
osubSylvesterMatrix`2`n`(M,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1235045
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)``1235141
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)``1235221
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1235317
osub_poly`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1235413
osub`2`n`(%,%)->%`dOutputForm``1235508
osubdiagramSvg`4`n`(Scene(SCartesian(2)),%,Boolean,Boolean)->Void`cFiniteGraph(S)``1235587
osubdiagramSvg`4`n`(Scene(SCartesian(2)),A,Boolean,Boolean)->Void`xFiniteGraph&(A,S)``0
osubdivide`1`n`(%)->%`dSceneIFS(PT)``1235866
osubmod`3`x`(%,%,%)->%`cIntegerNumberSystem``1236018
osubordinationConvolution`2`n`(%,%)->%`cDistributionCategory(R)``1236103
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1236231
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)`1236427
osubscript`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1236570
osubscript`2`x`(%,List(OutputForm))->%`dSymbol``1236880
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(%,%)->Boolean`cSetAggregate(S)``1236986
osubsetLattice`1`n`(List(S))->%`dSubsetLattice(S,top)``1237157
osubspace?`2`n`(%,%)->Boolean`dVectorSpaceBasis(R)``1237197
osubspace`0`n`()->%`dSubSpace(n,R)``1237283
osubspace`1`x`(%)->SubSpace(3,R)`cThreeSpaceCategory(R)``1237322
osubspace`1`x`(%)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1237460
osubspace`2`x`(%,ThreeSpace(DoubleFloat))->%`dThreeDimensionalViewport``1237644
osubstHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(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)``1237857
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
osubst_var`3`n`(%,List(Symbol),List(Symbol))->%`dFakePolynomial``0
osubst_vars`3`n`(PT,List(Symbol),List(Symbol))->MP`cModularEvaluationCategory(PT,MP)``1237973
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`(%,%)->%`dEquation(S)`has(S,ExpressionSpace)`1238103
osubst`2`x`(%,Equation(%))->%`cExpressionSpace``1238236
osubst`2`x`(%,List(Equation(%)))->%`cExpressionSpace``1238331
osubst`3`n`(%,%,%)->%`dLambda(UT)``1238491
osubst`3`n`(%,JB,%)->%`cJetBundleFunctionCategory(JB)``1238547
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`x`(%,List(Kernel(%)),List(%))->%`cExpressionSpace``1238663
osubstitute`3`n`(S,S,%)->%`dListMultiDictionary(S)``1238830
osubstring?`3`x`(%,%,Integer)->Boolean`cStringAggregate``1238941
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(%,%)->Union(%,"failed")`cCancellationAbelianMonoid``1239109
osubtract`2`n`(%,%)->%`dOrientedFacet``1239235
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1239312
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1239434
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1239595
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1239703
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1239874
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1239947
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1240082
osuchThat`3`x`(%,List(Symbol),(List(F))->Boolean)->%`dRewriteRule(Base,R,F)``1240224
osufactor_square_free`1`n`(SparseUnivariatePolynomial(F))->List(SparseUnivariatePolynomial(F))`pUnivariateFiniteFieldFactorize(F,UP)``1240371
osufactor`1`n`(SparseUnivariatePolynomial(F))->Record(cont:F,factors:List(Record(factor:SparseUnivariatePolynomial(F),exponent:NonNegativeInteger)))`pUnivariateFiniteFieldFactorize(F,UP)``1240479
osuffix?`2`x`(%,%)->Boolean`cStringAggregate``1240545
osumBasis`1`n`(List(%))->%`dVectorSpaceBasis(R)``1240811
osumBasis`1`n`(List(List(Vector(R))))->%`dVectorSpaceBasis(R)``1240964
osumBasis`2`n`(%,%)->%`dVectorSpaceBasis(R)``1241149
osumBasis`2`n`(List(Vector(R)),List(Vector(R)))->%`dVectorSpaceBasis(R)``1241232
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1241369
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1241563
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1241822
osum`1`n`(%)->%`dOutputForm``1242056
osum`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1242139
osum`2`n`(%,%)->%`dOutputForm``1242336
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1242451
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1242633
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1242740
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1242842
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1242919
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1243101
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1243178
osum`3`n`(%,%,%)->%`dOutputForm``1243360
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1243516
osummands`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``1243595
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1243727
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1243833
osummation`2`x`(%,SegmentBinding(%))->%`cCombinatorialOpsCategory``1243989
osummation`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``1244095
osunion`2`n`(%,%)->%`dSBoundary(PT)``1244251
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1244482
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1244694
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``1244906
osup`1`x`(%)->R`cIntervalCategory(R)``1245090
osup`2`x`(%,%)->%`cOrderedAbelianMonoidSup``1245145
osuper`2`n`(%,%)->%`dOutputForm``1245254
osuperscript`2`x`(%,List(OutputForm))->%`dSymbol``1245337
osupersub`2`n`(%,List(%))->%`dOutputForm``1245447
osupport`1`n`(A)->List(S)`xFreeModuleCategory&(A,R,S)``0
osupport`1`x`(%)->List(S)`cFreeModuleCategory(R,S)``1245585
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->%`dParametricSurface(ComponentFunction)``1245672
osvec`2`n`(DoubleFloat,DoubleFloat)->%`cSPointCategory``1245807
osvec`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->%`cSPointCategory``1245900
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(%,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(%,shallowlyMutable)`1246010
oswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1246143
oswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1246247
oswapColumns!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(%,Integer,Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1246374
oswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1246515
oswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1246613
oswapRows!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(%,Integer,Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1246734
oswapRowsColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1246869
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1247008
oswap`1`x`(%)->%`dEquation(S)``1247078
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1247162
osylvesterMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1247284
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1247417
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1247616
osymbol?`1`n`(%)->Boolean`dPattern(R)``1247750
osymbol?`1`n`(OutputForm)->Boolean`pOutputFormTools``1247806
osymbol?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1247894
osymbolIfCan`1`n`(%)->Union(Symbol,"failed")`cKernelCategory(S)``1247983
osymbolTableOf`2`n`(Symbol,%)->SymbolTable`dTheSymbolTable``1248099
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->%`dSymbolTable``1248174
osymbol`1`n`(List(%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``1248257
osymbol`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
osymbol`1`n`(OutputForm)->Symbol`pOutputFormTools``1248351
osymbol`1`x`(%)->Sym`cSExpressionCategory(Str,Sym,Int,Flt)``1248464
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)``1248601
osymmetric?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1248803
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)``1249005
osymmetricGroup`1`n`(PositiveInteger)->%`dGroupPresentation``1249387
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1249530
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1249803
osymmetricPower`2`x`(%,NonNegativeInteger)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1250009
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1250197
osymmetricProduct`2`x`(%,%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1250425
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1250633
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(%,%)->%`cIntegerNumberSystem``1250881
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1250989
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1251094
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1251660
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1252193
otRange`1`n`(%)->Segment(DoubleFloat)`dPlot3D``1252411
otRange`1`n`(%)->Segment(DoubleFloat)`dPlot``1252501
otValues`1`n`(%)->List(List(DoubleFloat))`dPlot3D``1252590
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1252749
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1252782
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1252854
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1253060
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1253366
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->%`cTableAggregate(Key,Entry)``1253662
otable`1`n`((Key)->SingleInteger)->%`dXHashTable(Key,Entry)``1253735
otable`1`n`(List(%))->TwoDimensionalArray(%)`dJetVectorField(JB,D)``1254071
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`x`(List(Record(key:Key,entry:Entry)))->%`cTableAggregate(Key,Entry)``1254160
otableau`1`x`(List(List(S)))->%`dTableau(S)``1254267
otableau`2`n`(SparseEchelonMatrix(JB,D),JetDifferential(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1254342
otableau`2`n`(SparseEchelonMatrix(JB,D),List(JetDifferential(JB,D)))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1254432
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)``1254541
otail`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``1254669
otail`1`x`(%)->%`cUnaryRecursiveAggregate(S)``1254789
otails`1`x`(%)->List(%)`dList(S)``1254874
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1254992
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1255090
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1255194
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1255302
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1255389
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1255499
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1255581
otan`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1255755
otan`1`n`(F)->F`pElementaryFunction(R,F)``1255822
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)``1255884
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1255952
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1256020
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1256089
otan`1`x`(%)->%`cTrigonometricFunctionCategory``1256160
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1256214
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1256316
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1256425
otanh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1256514
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1256583
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)``1256657
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1256741
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1256825
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1256906
otanh`1`x`(%)->%`cHyperbolicFunctionCategory``1256989
otau`0`n`()->Symbol`pMathematicalSymbols``1257055
otaylorIfCan`1`x`(%)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1257118
otaylorQuoByVar`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)``1257274
otaylorRep`1`x`(%)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1257369
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1257488
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1257694
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1257900
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1258106
otaylor_via_lode`3`n`(List(UTS),PS,List(Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1258312
otaylor`1`x`(%)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1258468
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1258609
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1258790
otaylor`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)``1258858
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1258945
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1259058
otaylor`3`n`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries2(FE)``1259301
otaylor`3`n`((Integer)->R,Symbol,R)->Any`pGenerateUnivariatePowerSeries1(R)``1259486
otaylor`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`1259574
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1259660
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
otaylor`4`n`((Integer)->R,Symbol,R,UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries1(R)``1259827
otaylor`4`n`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`1260014
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
otensorMap`2`n`(Stream(R),(R)->List(R))->Stream(R)`pStreamTensor(R)``1260199
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1260375
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1260744
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1260843
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1261240
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)``1261525
otensor`2`n`(%,%)->%`dOutputForm``1261634
otensor`2`n`(M,M)->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`2`x`(M,N)->%`cTensorProductCategory(R,M,N)``1261700
oterminal`1`n`(S)->%`cFiniteGraph(S)``1261798
oterminal`1`n`(S)->A`xPoset&(A,S)``0
oterms`1`x`(%)->List(Record(k:M,c:R))`cMonoidRingCategory(R,M)``1261889
oterms`1`x`(%)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1262049
otestAbsolutePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1262408
otestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1262588
otestComplexEquals`2`n`(String,String)->Void`pUnittest``1262817
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1263039
otestEqualsAuxCmp`2`n`(R,R)->Boolean`pUnittestAux(R)``1263156
otestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1263222
otestEquals`2`n`(String,String)->Void`pUnittest``1263508
otestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1263784
otestLibraryError`1`n`(String)->Void`pUnittest``1263914
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1264033
otestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1264233
otestNotEquals`2`n`(String,String)->Void`pUnittest``1264342
otestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1264441
otestRealEquals`2`n`(String,String)->Void`pUnittest``1264667
otestRelativePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1264883
otestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1265063
otestTrue`1`n`(String)->Void`pUnittest``1265138
otest`1`x`(%)->Boolean`dBoolean``1265210
otestcaseNoClear`1`n`(String)->Void`pUnittestCount``1265306
otestcase`1`n`(String)->Void`pUnittestCount``1265464
otestco`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1265608
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)``1265630
otestcx`2`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer))->UnivariatePolynomial(var,Expression(Integer))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1265652
otestf2`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer))->Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1265674
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)``1265696
otestfn`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->List(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1265718
otestfo`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->Union(List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),List(Union(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Record(ope:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dext:PositiveInteger,alpha:Expression(Integer),rami:UnivariatePolynomial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1265740
otestfr`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->Union(List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),List(Union(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Record(ope:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dext:PositiveInteger,alpha:Expression(Integer),rami:UnivariatePolynomial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1265762
otestgt`2`n`(Expression(Integer),Kernel(Expression(Integer)))->Expression(Integer)`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1265784
otestis`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1265806
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)``1265828
otestll`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(laurl:List(UnivariateLaurentSeries(Expression(Integer),var,cen)),laurr:List(UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1265850
otestln`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(main:Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))),nf:Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))),error:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1265872
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)``1265894
otestlw`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Stream(Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1265916
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)``1265938
otestpd`1`n`(UnivariatePolynomial(var,Expression(Integer)))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1265960
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)``1265982
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)``1266004
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)``1266026
otestsuiteNoClear`1`n`(String)->Void`pUnittestCount``1266048
otestsuite`1`n`(String)->Void`pUnittestCount``1266210
otex`1`n`(%)->List(String)`dTexFormat``1266361
otheMap`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1266431
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1266495
otheta`0`n`()->Symbol`pMathematicalSymbols``1266771
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(%)->S`cUnaryRecursiveAggregate(S)``1266838
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1266946
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1267149
otitle`1`x`(String)->%`dDrawOption``1267270
otitle`2`n`(%,String)->Void`dTwoDimensionalViewport``1267412
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1267569
otitle`2`x`(%,String)->Void`dThreeDimensionalViewport``1267774
otoCayleyGraph`1`n`(PermutationGroup(S))->MultifunctionGraph(String)`dMultifunctionGraph(S)``1267935
otoCayleyGraph`2`n`(List(Permutation(S)),Boolean)->MultifunctionGraph(String)`dMultifunctionGraph(S)``1267985
otoObj`6`n`(%,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),SBoundary(PT))->Void`dScene(PT)``1268196
otoPermutationIfCan`1`n`(%)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1269036
otoPermutationIfCan`2`n`(%,Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1269246
otoPermutationIfCan`3`n`(%,List(List(Integer)),Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1269456
otoPermutation`1`n`(%)->PermutationGroup(NonNegativeInteger)`dMultifunctionGraph(S)``1269678
otoPoint`1`n`(%)->%`cSPointCategory``1269775
otoSVG`8`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1269949
otoScale`1`x`(Boolean)->%`dDrawOption``1270765
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1270995
otoStringConven`2`n`(%,List(String))->String`dLambda(UT)``1271204
otoStringUnwrapped`1`n`(%)->String`dILogic``1271495
otoStringUnwrapped`1`n`(%)->String`dLatticeJoinOfMeets``1271574
otoStringUnwrapped`1`n`(%)->String`dLatticeMeetOfJoins``1271653
otoString`1`n`(%)->String`cVarCat``1271732
otoString`1`n`(%)->String`dILogic``1271785
otoString`1`n`(%)->String`dLambda(UT)``1271855
otoString`1`n`(%)->String`dLatticeJoinOfMeets``1272074
otoString`1`n`(%)->String`dLatticeMeetOfJoins``1272144
otoString`1`n`(%)->String`dSKICombinators(UT)``1272214
otoString`1`n`(%)->String`dSceneNamedPoints(PT)``1272228
otoString`1`n`(S)->String`xFloatingPointSystem&(S)``0
otoString`1`x`(%)->String`cFloatingPointSystem``1272304
otoString`2`n`(S,NonNegativeInteger)->String`xFloatingPointSystem&(S)``0
otoString`2`x`(%,NonNegativeInteger)->String`cFloatingPointSystem``1272377
otoTable`1`x`((%)->%)->Matrix(%)`dCliffordAlgebra(n,K,bLin)``1272490
otoTable`1`x`((%,%)->%)->Matrix(%)`dCliffordAlgebra(n,K,bLin)``1272655
otoVector`1`n`(%)->%`cSPointCategory``1272944
otoX3D`4`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT))->XmlElement`dScene(PT)``1273111
oto_UP`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))`dFakePolynomial``0
oto_mod_pa`1`n`(SparseUnivariatePolynomial(Integer))->PrimitiveArray(PrimeField(p))`pVectorPolynomialOperationsP(p)``1273526
oto_mod_pa`1`n`(SparseUnivariatePolynomial(K))->PrimitiveArray(K)`pVectorPolynomialOperationsF(K)``1273653
oto_mod_pa`2`n`(SparseUnivariatePolynomial(Integer),Integer)->U32Vector`pU32VectorPolynomialOperations``1273710
otoggleAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1273842
otoggleDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1273929
otopFortranOutputStack`0`n`()->String`pFortranOutputStackPackage``1273984
otopPredicate`1`n`(%)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1274074
otop_split`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``1274276
otop`1`x`(%)->S`cStackAggregate(S)``1274457
otopologicalSort!`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1274627
otopologicalSort`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1274787
otopologicalSort`2`n`(List(List(Boolean)),List(T))->List(T)`pListPackage(T)``1274905
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1275145
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1275456
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1275562
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1275602
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1275808
otorusSurface`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``1275852
otorusSurface`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1275907
otorusSurface`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1275983
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1276064
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1276197
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1276330
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1276467
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1276610
ototalDegreeSorted`2`n`(%,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1276742
ototalDegreeSorted`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(%)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1276956
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(%,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1277060
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDifferential`1`n`(Expression(CoefRing))->%`dDeRhamComplex(CoefRing,listIndVar)``1277203
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1277307
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1277571
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1277754
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1277985
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(Kernel(%))`cExpressionSpace``1278021
otower`1`x`(List(%))->List(Kernel(%))`cExpressionSpace``1278126
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1278263
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1278432
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)``1278601
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`x`(%)->R`cFiniteRankAlgebra(R,UP)``1278717
otrace`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1278827
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1278964
otrace`2`x`(%,PositiveInteger)->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1279063
otrailingCoefficient`1`n`(%)->R`dLaurentPolynomial(R,UP)``1279409
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1279457
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(%)->Boolean`cExtensionField(F)``1279585
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)``1279709
otransformColumns!`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``1279796
otransformRows!`2`n`(%,Matrix(F))->%`dFreeDivisionAlgebra(VAR,F)``1279909
otransformRows!`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``1279992
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``1280101
otransform`1`n`(JB1)->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1280139
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1280243
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JetBundleSymAna(JB1,xi,eta))`pSymmetryAnalysis(JB1,xi,eta)``1280330
otransformationMatrices`1`n`(Matrix(F))->List(Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``1280427
otransformationMatrix`1`n`(%)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1280621
otransition_matrices`1`n`(%)->List(Matrix(Integer))`dChainComplex``1280754
otranslate`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1280831
otranslate`3`x`(R,R,R)->%`dDenavitHartenbergMatrix(R)``1281057
otranslate`4`n`(%,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1281169
otranspose`1`n`(%)->%`dSquareMatrix(ndim,R)``1281632
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
otranspose`1`x`(%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1281705
otranspose`1`x`(%)->%`dCartesianTensor(minix,dim,R)``1281777
otranspose`1`x`(Row)->%`cMatrixCategory(R,Row,Col)``1282036
otranspose`3`x`(%,Integer,Integer)->%`dCartesianTensor(minix,dim,R)``1282106
otrapezoidal`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1282412
otrapezoidalo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1283116
otraverse`2`n`(%,List(NonNegativeInteger))->%`dSubSpace(n,R)``1283814
otree`1`x`(List(S))->%`dTree(S)``1284161
otree`1`x`(S)->%`dTree(S)``1284236
otree`2`x`(S,List(%))->%`dTree(S)``1284315
otrial_division`5`n`(MP,Polynomial(Integer),List(MP),Symbol,List(Symbol))->Boolean`cModularEvaluationCategory(PT,MP)``1284407
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1284652
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1284743
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1284834
otriangle`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dDeltaComplex(VS)``1285869
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1285915
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1286109
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)``1286465
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)``1286555
otriangulate`2`n`(Matrix(LO),List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pSystemODESolver(F,LO)``1286929
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1287170
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pInnerTrigonometricManipulations(R,F,FG)``1287340
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pTrigonometricManipulationsAux(G,FG)``1287655
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1287970
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1288099
otrim_mat!`4`n`(MMT,Integer,Integer,PMD)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1288228
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``1288487
otrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1288675
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1288866
otrueEqual`2`x`(%,%)->Boolean`dAlgebraicNumber``1288968
otrue`0`x`()->%`cLogic``1289048
otrunc`2`x`(%,NonNegativeInteger)->%`cFreeLieAlgebra(VarSet,R)``1289090
otrunc`2`x`(%,NonNegativeInteger)->%`cXPolynomialsCat(vl,R)``1289179
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(%)->%`cRealNumberSystem``1289268
otruncate`2`x`(%,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``1289357
otruncate`3`x`(%,Expon,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``1289490
otruncated_mul_add2`6`n`(U32Vector,U32Vector,U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1289653
otruncated_mul_add`5`n`(U32Vector,U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``1289818
otruncated_multiplication`4`n`(U32Vector,U32Vector,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``1289939
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1290042
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1290188
otryTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1290382
otry_real`2`n`(F,Symbol)->F`pRealNormalizationUtilities(R,F)``0
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1290572
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1290853
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1291124
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1291489
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1291852
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1291990
otubePoints`1`x`(PositiveInteger)->%`dDrawOption``1292134
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1292351
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1292566
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1292644
otubeRadius`1`x`(Float)->%`dDrawOption``1292735
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1292881
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1293096
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->%`dTubePlot(Curve)``1293189
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1293505
otypeList`2`n`(FortranScalarType,%)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1293607
otypeLists`1`n`(%)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1293698
otype`1`n`(%)->Symbol`cJetBundleCategory``1293785
oucodeToString`1`x`(Integer)->%`dString``1293895
ouentries`1`x`(%)->List(SingleInteger)`dString``1294038
ounary?`1`x`(%)->Boolean`dBasicOperator``1294368
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1294422
ounbind`1`n`(%)->%`dLambda(UT)``1294473
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1294564
ounderscore`0`x`()->%`dCharacter``1294806
oundirectedGraph`1`n`(FinitePoset(S))->%`dUndirectedGraph(S)``1294955
oundirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->%`dUndirectedGraph(S)``1295132
oundirectedGraph`1`n`(List(S))->%`dUndirectedGraph(S)``1295236
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)``1295508
oundirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dUndirectedGraph(S)``1295623
oundirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dUndirectedGraph(S)``1295693
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->%`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->%`dXRecursivePolynomial(VarSet,R)``1295882
ouniform01`0`n`()->Float`pRandomFloatDistributions``1295944
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1295984
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1296023
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1296062
ounion`1`n`(List(%))->%`dSBoundary(PT)``1296106
ounion`2`n`(%,%)->%`dPatternMatchResult(R,S)``1296250
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)``1296320
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`x`(%,%)->%`cSetAggregate(S)``1296406
ounion`2`x`(%,S)->%`cSetAggregate(S)``1296536
ounion`2`x`(S,%)->%`cSetAggregate(S)``1296722
ounit?`1`n`(S)->Boolean`xEntireRing&(S)``0
ounit?`1`x`(%)->Boolean`cEntireRing``1296908
ounitCanonical`1`n`(S)->S`xEntireRing&(S)``0
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`x`(%)->%`cEntireRing``1297000
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``1297071
ounitNormalize`1`x`(%)->%`dFactored(R)``1297385
ounitPart`1`n`(%)->Fraction(Integer)`dIntegerLocalizedAtPrime(p)``1297586
ounitStep`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1297740
ounitStep`1`x`(%)->%`cSpecialFunctionCategory``1297833
ounitVector`1`n`(%)->%`cSPointCategory``1297926
ounitVector`1`n`(IS)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1298056
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1298098
ounitVector`1`x`(PositiveInteger)->%`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,Monoid))`1298243
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1298337
ounit`1`x`(%)->R`dFactored(R)``1298449
ounit`1`x`(List(Float))->%`dDrawOption``1298516
ounit`2`n`(List(S),String)->%`cFiniteGraph(S)``1298670
ounit`2`n`(List(S),String)->A`xPoset&(A,S)``0
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1298923
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1299019
ounits`1`n`(%)->List(Float)`dGraphImage``1299137
ounits`2`n`(%,List(Float))->List(Float)`dGraphImage``1299322
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1299623
ounits`3`n`(%,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1299827
ounits`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1300081
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1300348
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial('x,Coef)`dUnivariateFormalPowerSeries(Coef)``0
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1300446
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1300605
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1300764
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1300944
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1301192
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301355
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301464
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301637
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301755
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301884
ounivariate`1`x`(%)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1302678
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1302945
ounivariate`2`n`(S,Kernel(S))->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace&(S,R)``0
ounivariate`2`x`(%,Kernel(%))->Fraction(SparseUnivariatePolynomial(%))`cFunctionSpace(R)`has(R,IntegralDomain)`1303049
ounivariate`2`x`(%,VarSet)->SparseUnivariatePolynomial(%)`cPolynomialCategory(R,E,VarSet)``1303144
ounivariate`2`x`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``1303351
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1303455
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1303626
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1303772
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1303829
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->%`cFiniteSetAggregate(S)`has(S,Finite)`1303868
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)``1303964
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->%`cUnivariatePolynomialCategory(R)``1304119
ounpack_poly`5`n`(List(Symbol),SortedExponentVector,PrimitiveArray(Integer),Integer,Integer)->SparseUnivariatePolynomial(Polynomial(Integer))`pModularHermitePade``1304278
ounparse`1`n`(%)->String`dInputForm``1304572
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1304737
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1305088
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1305613
ounravel`1`x`(List(R))->%`dCartesianTensor(minix,dim,R)``1306214
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1306337
ounvectorise`1`n`(Vector(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounvectorise`1`x`(Vector(R))->%`cUnivariatePolynomialCategory(R)``1306467
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1306595
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)``1306828
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``1306863
oupdate!`2`n`(%,SingleInteger)->%`dHashState``1306898
oupdateStatus!`1`n`(%)->%`dSplittingTree(V,C)``1307045
oupdate`3`n`(%,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1307171
oupperCase!`1`x`(%)->%`cStringAggregate``1307355
oupperCase?`1`x`(%)->Boolean`dCharacter``1307484
oupperCase`0`x`()->%`dCharacterClass``1307595
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(%)->%`cStringAggregate``1307719
oupperCase`1`x`(%)->%`dCharacter``1307800
oupperSet`1`n`(%)->%`cPoset(S)``1307969
ouppertriangular?`2`n`(%,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1308111
oupsilon`0`n`()->Symbol`pMathematicalSymbols``1308191
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1308262
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1308391
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1308588
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1308760
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1308980
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1309115
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1309190
ovalidate`1`n`(%)->Boolean`dChainComplex``1309355
ovalidate`1`n`(%)->Boolean`dCoChainComplex(VS)``1309471
ovalue`1`n`(%)->SingleInteger`dHashState``1309598
ovalue`1`n`(%)->Symbol`dILogic``1309678
ovalue`1`n`(%)->Symbol`dLatticeJoinOfMeets``1309950
ovalue`1`n`(%)->Symbol`dLatticeMeetOfJoins``1310222
ovalue`1`n`(%)->V`dSplittingNode(V,C)``1310494
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`x`(%)->Integer`dOrdSetInts``1310557
ovalue`1`x`(%)->S`cRecursiveAggregate(S)``1310625
ovalue`1`x`(%)->String`dQueryEquation``1310688
ovalues`0`n`()->NonNegativeInteger`pRecurrenceOperator(R,F)``1310778
ovalues`1`n`(NonNegativeInteger)->NonNegativeInteger`pRecurrenceOperator(R,F)``1310858
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1310935
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1311203
ovar1Steps`1`x`(PositiveInteger)->%`dDrawOption``1311462
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1311630
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1311843
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1312111
ovar2Steps`1`x`(PositiveInteger)->%`dDrawOption``1312370
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1312539
ovarList`1`n`(%)->List(S)`dFreeMonoid(S)`has(S,BasicType)`1312752
ovarList`1`n`(%)->List(VarSet)`dFreeMagma(VarSet)``1312820
ovarList`1`n`(%)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1312895
ovarList`1`n`(%)->List(VarSet)`dLyndonWord(VarSet)``1312963
ovarList`1`n`(%)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1313038
ovarList`1`x`(%)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1313142
ovarList`1`x`(%)->List(vl)`cXFreeAlgebra(vl,R)``1313217
ovar`1`n`(String)->%`cVarCat``1313298
ovar`2`n`(String,ILogic)->%`cVarCat``1313350
ovariable?`1`n`(%)->Boolean`dSKICombinators(UT)``1313406
ovariableName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``1313456
ovariableName`1`x`(Symbol)->%`dGuessOption``1313589
ovariableOf`1`n`(%)->Symbol`dSimpleCell(TheField,ThePols)``1313753
ovariable`0`n`()->Symbol`dVariable(sym)``1313810
ovariable`1`n`(String)->%`dLatticeJoinOfMeets``1313854
ovariable`1`n`(String)->%`dLatticeMeetOfJoins``1313882
ovariable`1`n`(Symbol)->Union(%,"failed")`dOrderedVariableList(VariableList)``1313910
ovariable`1`x`(%)->S`cDifferentialVariableCategory(S)``1313983
ovariable`1`x`(%)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1314100
ovariable`1`x`(%)->Symbol`dQueryEquation``1314199
ovariable`1`x`(%)->Symbol`dSegmentBinding(S)``1314294
ovariablesOf`1`n`(%)->List(Symbol)`dCell(TheField)``1314497
ovariables`1`n`(%)->List(%)`dPattern(R)``1314564
ovariables`1`n`(%)->List(FreeMonoid(VAR))`dFreeDivisionAlgebra(VAR,F)``1314653
ovariables`1`n`(%)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1314713
ovariables`1`n`(%)->List(VarSet)`cMaybeSkewPolynomialCategory(R,E,VarSet)``1314788
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1314898
ovariables`1`n`(List(S))->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(NonNegativeInteger)->List(%)`cJetBundleCategory``1315014
ovariables`1`n`(NonNegativeInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(Symbol)`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)``1315102
ovariables`1`x`(%)->List(Symbol)`cFunctionSpace(R)``1315201
ovariables`1`x`(%)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1315279
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1315414
ovariables`1`x`(List(%))->List(Symbol)`cFunctionSpace(R)``1315530
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(%)`cJetBundleCategory``1315645
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(S)`xJetBundleCategory&(S)``0
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1315772
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1316143
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1316279
ovconcat`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1316373
ovconcat`1`n`(List(%))->%`dOutputForm``1316629
ovconcat`2`n`(%,%)->%`dOutputForm``1316706
ovconcat`2`n`(List(%),NonNegativeInteger)->%`dOutputBox``1316789
ovconcat`3`n`(List(%),NonNegativeInteger,Integer)->%`dOutputBox``1316863
ovector_add_mul`6`n`(U32Vector,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1317328
ovector_combination`7`n`(U32Vector,Integer,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1317511
ovector`1`n`(%)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1317703
ovector`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1317770
ovector`1`n`(List(Complex(DoubleFloat)))->%`dComplexDoubleFloatVector``1317837
ovector`1`x`(List(R))->%`dVector(R)``1317901
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(%,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1317965
overtConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`1`x`(List(%))->%`cTwoDimensionalArrayCategory(R,Row,Col)``1318174
overtConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`2`x`(%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1318311
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)``1318538
overtSplit`2`x`(%,PositiveInteger)->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``1318733
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1318879
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1318950
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1319070
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1319227
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1319345
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1319500
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1319594
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1319729
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1319937
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1320170
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1320249
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1320357
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1320454
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1320592
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1320715
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1320847
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1321013
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1321094
oviewpoint`1`x`(%)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1321206
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->%`dDrawOption``1321565
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``1321831
oviewpoint`2`x`(%,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1322046
oviewpoint`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1322306
oviewpoint`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``1322662
oviewpoint`6`x`(%,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1323068
oviewpoint`6`x`(%,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1323568
oviewport2D`0`n`()->%`dTwoDimensionalViewport``1324068
oviewport3D`0`x`()->%`dThreeDimensionalViewport``1324215
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,Dpol)``1324366
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pNGroebnerPackage(Dom,Expon,Dpol)``1324408
ovoid`0`x`()->%`dVoid``1324429
ovspace`1`n`(Integer)->%`dOutputForm``1324474
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1324538
oweberE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1324722
oweberE`2`x`(%,%)->%`cSpecialFunctionCategory``1324783
oweierstrassHalfPeriods`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1324844
oweierstrassInvariants`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1324987
oweierstrassP0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1325152
oweierstrassPInverse`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1325308
oweierstrassPInverse`3`x`(%,%,%)->%`cSpecialFunctionCategory``1325504
oweierstrassPPrime0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1325700
oweierstrassPPrime`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1325866
oweierstrassPPrime`3`x`(%,%,%)->%`cSpecialFunctionCategory``1325965
oweierstrassPPrime`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1326064
oweierstrassPPrime`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1326166
oweierstrassP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1326268
oweierstrassP`3`x`(%,%,%)->%`cSpecialFunctionCategory``1326348
oweierstrassP`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1326428
oweierstrassP`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1326507
oweierstrassSigma0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1326586
oweierstrassSigma`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1326735
oweierstrassSigma`3`x`(%,%,%)->%`cSpecialFunctionCategory``1326816
oweierstrassZeta0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1326897
oweierstrassZeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1327059
oweierstrassZeta`3`x`(%,%,%)->%`cSpecialFunctionCategory``1327138
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1327217
oweight`1`n`(%)->NonNegativeInteger`cJetBundleCategory``1327495
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`x`(%)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1327684
oweight`1`x`(%)->NonNegativeInteger`cDifferentialVariableCategory(S)``1327816
oweight`1`x`(%)->NonNegativeInteger`dBasicOperator``1327887
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(%,NonNegativeInteger)->%`dBasicOperator``1327954
oweight`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1328027
oweightedDistanceMatrix`1`n`(%)->TwoDimensionalArray(Union(W,"disjoint"))`dWeightedGraph(S,W)``1328266
oweightedGraph`1`n`(FinitePoset(S))->%`dWeightedGraph(S,W)``1328452
oweightedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)))->%`dWeightedGraph(S,W)``1328607
oweightedGraph`1`n`(List(S))->%`dWeightedGraph(S,W)``1328711
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)``1328983
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)``1329098
oweightedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dWeightedGraph(S,W)``1329240
oweightedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dWeightedGraph(S,W)``1329310
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1329497
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(%)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1329537
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)``1329661
owhatInfinity`1`x`(%)->SingleInteger`dOrderedCompletion(R)``1329896
owhileLoop`2`n`(Switch,%)->%`dFortranCode``1330031
owhittakerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1330096
owhittakerM`3`x`(%,%,%)->%`cSpecialFunctionCategory``1330170
owhittakerW`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1330244
owhittakerW`3`x`(%,%,%)->%`cSpecialFunctionCategory``1330318
owholePart`1`x`(%)->Integer`cRealNumberSystem``1330392
owholePart`1`x`(%)->R`dContinuedFraction(R)``1330456
owholePart`1`x`(%)->R`dPartialFraction(R)``1330665
owholePart`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1330750
owholeRadix`1`x`(List(Integer))->%`dRadixExpansion(bb)``1330903
owholeRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``1331062
owidth`1`n`(%)->NonNegativeInteger`dOutputBox``1331153
owidth`1`x`(%)->R`cIntervalCategory(R)``1331215
owignerDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``1331270
owithPredicates`2`n`(%,List(Any))->%`dPattern(R)``1331359
owordInGenerators`2`x`(Permutation(S),%)->List(NonNegativeInteger)`dPermutationGroup(S)``1331530
owordInStrongGenerators`2`x`(Permutation(S),%)->List(NonNegativeInteger)`dPermutationGroup(S)``1331737
owordsForStrongGenerators`1`x`(%)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1331954
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1332176
owritable?`1`x`(%)->Boolean`cFileNameCategory``1332343
owrite!`2`x`(%,S)->S`cFileCategory(Name,S)``1332456
owriteCategory`4`n`(List(ILogic),String,String,String)->Void`pcompCode``1332635
owriteLine!`1`x`(%)->String`dTextFile``1332671
owriteLine!`2`x`(%,String)->String`dTextFile``1332850
owriteObj`2`n`(%,String)->Void`dScene(PT)``1333013
owriteObj`2`n`(SubSpace(3,DoubleFloat),String)->Void`pExport3D``1333139
owritePackage`5`n`(List(Lambda(Typed)),String,String,String,String)->Void`pcompCode``1333202
owriteSvgQuantised`2`n`(%,String)->Void`dScene(PT)``1333237
owriteSvg`2`n`(%,String)->Void`dScene(PT)``1333360
owriteVRML`2`n`(%,String)->Void`dScene(PT)``1333474
owriteVRML`2`n`(XmlElement,String)->Void`pExportXml``1333590
owriteX3d`2`n`(%,String)->Void`dScene(PT)``1333876
owriteXml`2`n`(XmlElement,String)->Void`pExportXml``1333992
owrite`2`n`(%,String)->String`dTwoDimensionalViewport``1334211
owrite`2`x`(%,String)->String`dThreeDimensionalViewport``1334450
owrite`3`n`(%,String,List(String))->String`dTwoDimensionalViewport``1334692
owrite`3`n`(%,String,String)->String`dTwoDimensionalViewport``1334997
owrite`3`x`(%,String,List(String))->String`dThreeDimensionalViewport``1335276
owrite`3`x`(%,String,String)->String`dThreeDimensionalViewport``1335584
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1335866
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1336012
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)``1336163
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1336286
oxRange`1`x`(%)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1336540
oxRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1336647
oxform`2`n`(%,PT)->PT`dSTransform(PT)``1336754
oxftestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1336837
oxftestComplexEquals`2`n`(String,String)->Void`pUnittest``1336920
oxftestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1336997
oxftestEquals`2`n`(String,String)->Void`pUnittest``1337063
oxftestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1337126
oxftestLibraryError`1`n`(String)->Void`pUnittest``1337230
oxftestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1337305
oxftestNotEquals`2`n`(String,String)->Void`pUnittest``1337374
oxftestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1337443
oxftestRealEquals`2`n`(String,String)->Void`pUnittest``1337520
oxftestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1337591
oxftestTrue`1`n`(String)->Void`pUnittest``1337656
oxi`0`n`()->Symbol`pMathematicalSymbols``1337715
oxmlAttribute`2`n`(String,List(String))->%`dXmlAttribute``1337790
oxmlAttribute`2`n`(String,String)->%`dXmlAttribute``1337899
oxmlElement`3`n`(String,List(%),List(XmlAttribute))->%`dXmlElement``1337997
oxmlElement`3`n`(String,String,List(XmlAttribute))->%`dXmlElement``1338107
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1338203
oxor`2`x`(%,%)->%`cBitAggregate``1338260
oxor`2`x`(%,%)->%`dBoolean``1338366
oxor`2`x`(%,%)->%`dSingleInteger``1338465
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1338578
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)``1338833
oyRange`1`x`(%)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1338958
oyRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1339065
oyellow`0`x`()->%`dColor``1339172
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1339251
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1339380
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1339517
ozRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1339788
ozag`2`n`(%,%)->%`dOutputForm``1339895
ozag`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1339996
ozero?`1`n`(MPT)->Boolean`cModularAlgebraicGcdOperations(MP,MPT,MD)``1340104
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``1340155
ozero?`1`x`(%)->Boolean`cMatrixCategory(R,Row,Col)``1340211
ozero?`1`x`(%)->Boolean`cVectorCategory(R)`has(R,AbelianMonoid)`1340311
ozero?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1340410
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1340484
ozero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1340580
ozero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1340645
ozeroDim?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1340766
ozeroDim?`2`x`(%,List(VarSet))->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1340983
ozeroDimPrimary?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1341154
ozeroDimPrime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1341241
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1341326
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1341495
ozeroMatrix`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`1341657
ozeroMatrix`3`n`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1341731
ozeroMatrix`3`n`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1341831
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`(%)->%`cAlgebraicallyClosedFunctionSpace(R)``1341955
ozeroOf`1`x`(Polynomial(%))->%`cAlgebraicallyClosedField``1342187
ozeroOf`1`x`(SparseUnivariatePolynomial(%))->%`cAlgebraicallyClosedField``1342418
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`(%,Symbol)->%`cAlgebraicallyClosedFunctionSpace(R)``1342593
ozeroOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedField``1342811
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:%,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1343019
ozeroSetSplit`1`x`(List(P))->List(%)`cTriangularSetCategory(R,E,V,P)``1343338
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1343534
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1343874
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1344226
ozeroSetSplit`2`x`(List(P),Boolean)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``1344374
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(%)`dRegularChain(R,ls)``1344881
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``1345385
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``1345709
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``1346077
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``1346190
ozeroSquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1346303
ozeroVector`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1346358
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->%`cVectorCategory(R)`has(R,AbelianMonoid)`1346407
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->%`cMatrixCategory(R,Row,Col)``1346471
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`x`(%)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1346543
ozerosOf`1`x`(Polynomial(%))->List(%)`cAlgebraicallyClosedField``1346882
ozerosOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cAlgebraicallyClosedField``1347237
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`(%,Symbol)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1347536
ozerosOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->List(%)`cAlgebraicallyClosedField``1347893
ozetaMatrix`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``1348246
ozetaMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ozeta`0`n`()->%`dDirichletRing(Coef)``1348488
ozeta`0`n`()->Symbol`pMathematicalSymbols``1348554
ozoom`2`n`(%,Segment(DoubleFloat))->%`dPlot``1348619
ozoom`2`x`(%,Float)->Void`dThreeDimensionalViewport``1348660
ozoom`3`n`(%,Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``1348821
ozoom`4`n`(%,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``1348867
ozoom`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``1348918
o~=`2`n`(%,%)->%`dOutputForm``1349215
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`x`(%,%)->Boolean`cBasicType``1349271
o~`1`n`(%)->%`dDirectedGraph(S)``1349336
o~`1`n`(%)->%`dILogic``1349645
o~`1`n`(%)->%`dMultifunctionGraph(S)``1349915
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`x`(%)->%`cLogic``1350224
o~`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``1350287
o~`1`x`(%)->%`dSingleInteger``1350340
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1350431
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1350527
pAlgebraicFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`AF`1350611
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1350685
pAlgebraicIntegrate2`5`n`(R0:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG2`1350720
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`1350919
pAlgebraicIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1351008
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1351122
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1351237
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1351448
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1351658
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1351745
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1351873
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1351997
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1352084
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1352153
pBezoutMatrixWrapper`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BEZOUT2`1352290
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`1352388
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1352568
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1352682
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1353252
pCartanKuranishi`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`CKP`1353331
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1353602
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1353709
pCharacteristicPolynomial2`1`n`(Field)->etc`(F)`CHARPOL2`1353773
pCharacteristicPolynomial3`1`n`(IntegralDomain)->etc`(R)`CHARPOL3`1353867
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1354250
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1354347
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1354452
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1354856
pCombinatorialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`COMBF`1354945
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1355010
pCommonOperators`0`n`()->etc``COMMONOP`1355174
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1355380
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1355496
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1355593
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1355719
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1355796
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1355868
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`1356642
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1357016
pConstantLODE`3`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1357150
pConstantLinearDependence`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`CLINDEP`1357238
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1357688
pCubicalComplexFactory`0`n`()->etc``CUBECF`1357946
pCycleIndicators`0`x`()->etc``CYCLES`1358117
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1358154
pCyclotomicUtilities`0`n`()->etc``CYCLOT2`1358222
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`1358421
pDegreeReductionPackage`2`n`(Ring,R2:Join(Comparable,etc))->etc`(R1,R2)`DEGRED`1358562
pDeltaComplexFactory`1`n`(AbelianGroup)->etc`(VS)`DELTCF`1358598
pDenominatorIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTDEN`1358736
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1358848
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1359571
pDiscreteLogarithmPackage`1`n`(Join(Monoid,etc))->etc`(M)`DLP`1359889
pDisplayPackage`0`x`()->etc``DISPLAY`1360009
pDistributionContinuedFractionPackage`2`x`(CommutativeRing,z:Symbol)->etc`(R,z)`DSTCFPG`1360114
pDistributionFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`DISTRO2`1360191
pDistributionPackage`1`x`(CommutativeRing)->etc`(R)`DISTEX`1360254
pDistributionPolynomialPackage`3`x`(R:CommutativeRing,S:Join(CommutativeRing,etc),UPS:UnivariatePolynomialCategory(S))->etc`(R,S,UPS)`DISTPOL`1360292
pDoubleFloatElementaryFunctions`0`n`()->etc``DFELEM`1360419
pDoubleFloatEllipticIntegrals`0`x`()->etc``ELIPIDF`1360529
pDoubleFloatSpecialFunctions2`0`x`()->etc``DFSFUN2`1360801
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1360908
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1361009
pDrawComplex`0`x`()->etc``DRAWCX`1361112
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1361198
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1361616
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1361652
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1361688
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1361971
pElementaryFunctionLODESolver`3`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1362101
pElementaryFunctionODESolver`2`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1362281
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1362453
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1362568
pElementaryFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1362861
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1362923
pElementaryRischDEX2`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX2`1363086
pElementaryRischDEX`2`n`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX`1363155
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1363269
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1363368
pErrorFunctions`0`x`()->etc``ERROR`1363445
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1365399
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1366255
pExport3D`0`n`()->etc``EXP3D`1366429
pExportXml`0`n`()->etc``XML`1366526
pExpressionFactorPolynomial`2`n`(R:Join(GcdDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EFACTOR`1366585
pExpressionFunctions2`2`x`(Join(Ring,etc),S:Join(Ring,etc))->etc`(R,S)`EXPR2`1366671
pExpressionLinearSolve`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`ELINSOL`1366737
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`1366931
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1367113
pExpressionSpaceODESolver`2`x`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1367408
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1367466
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1367591
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1367682
pExtendedPolynomialReduction`3`n`(C:GcdDomain,E:OrderedAbelianMonoidSup,R:Join(FiniteAbelianMonoidRing(C,E),etc))->etc`(C,E,R)`EXTRED`1367864
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1368246
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1368552
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1368666
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1368941
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1368999
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`1369162
pFiniteAbelianMonoidRingFunctions2`5`n`(E:OrderedAbelianMonoid,R1:Ring,A1:FiniteAbelianMonoidRing(R1,E),R2:Ring,A2:FiniteAbelianMonoidRing(R2,E))->etc`(E,R1,A1,R2,A2)`FAMR2`1369277
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`1369365
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1369462
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1369639
pFiniteFieldPolynomialPackage2`2`x`(Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1369883
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1370161
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1370329
pFiniteGroupPackage`1`n`(Join(Group,etc))->etc`(G)`FINGPKG`1370431
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:Join(LinearAggregate(S),etc),R:Type,B:Join(LinearAggregate(R),etc))->etc`(S,A,R,B)`FLAGG2`1370499
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1370812
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1370902
pFloatEllipticFunctions`0`x`()->etc``FELFUN`1371207
pFloatLiouvilianFunctions`0`x`()->etc``FLIOUFUN`1371341
pFloatSpecialFunctions`0`x`()->etc``FSFUN`1371442
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1371539
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1371899
pFortranCodePackage1`0`n`()->etc``FCPAK1`1372220
pFortranCodeTools`0`n`()->etc``FCTOOL`0
pFortranOutputStackPackage`0`n`()->etc``FOP`1372835
pFractionFreeFastGaussianFractions`3`n`(D:Join(IntegralDomain,etc),V:FiniteAbelianMonoidRing(D,NonNegativeInteger),VF:FiniteAbelianMonoidRing(Fraction(D),NonNegativeInteger))->etc`(D,V,VF)`FFFGF`1372883
pFractionFreeFastGaussian`2`n`(D:Join(IntegralDomain,etc),V:AbelianMonoidRing(D,NonNegativeInteger))->etc`(D,V)`FFFG`1372993
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1373242
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`1373404
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1373557
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`1373825
pFreeModuleFunctions2`4`x`(R:CommutativeRing,S:Comparable,M1:FreeModuleCategory(R,S),M2:Module(R))->etc`(R,S,M1,M2)`FM2`1373917
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`1373964
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1374025
pFunctionSpaceAssertions`2`x`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1374419
pFunctionSpaceAttachPredicates`3`x`(R:Comparable,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1374507
pFunctionSpaceComplexIntegrationAux`2`n`(G:Join(GcdDomain,etc),FG:Join(TranscendentalFunctionCategory,etc))->etc`(G,FG)`FSCINTA`1374595
pFunctionSpaceComplexIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1374728
pFunctionSpaceFunctions2`4`x`(R:Join(Ring,etc),A:FunctionSpace(R),S:Join(Ring,etc),B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1374858
pFunctionSpaceIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1375021
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1375141
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`1375250
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1375461
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1375509
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`1375601
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`1376017
pFunctionalSpecialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSPECF`1376433
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1376498
pGaloisGroupFactorizerSeparate`2`n`(PositiveInteger,UP:UnivariatePolynomialCategory(Integer))->etc`(p,UP)`GALFACS`0
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1376607
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1376689
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1376896
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1376971
pGcdBasis`1`n`(GcdDomain)->etc`(R)`GCDBAS`1377042
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1377188
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1377759
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1377898
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1377982
pGenerateEllipticIntegrals`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:Join(Field,etc))->etc`(F,UP,UPUP,R)`INTGEL`1378146
pGenerateUnivariatePowerSeries1`1`n`(Ring)->etc`(R)`GENUPS1`1378229
pGenerateUnivariatePowerSeries2`1`n`(Join(Ring,etc))->etc`(FE)`GENUPS2`1378379
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(RetractableTo(Symbol),etc))->etc`(R,FE)`GENUPS`1378529
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1378649
pGnuDraw`0`x`()->etc``GDRAW`1379024
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`1379291
pGraphicsDefaults`0`x`()->etc``GRDEF`1379336
pGrayCode`0`n`()->etc``GRAY`1379431
pGroebnerFactorizationPackage`4`x`(Dom:Join(PolynomialFactorizationExplicit,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1379573
pGroebnerInternalPackage`3`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GBINTERN`1380609
pGroebnerPackage`3`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GB`1380908
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1381944
pGroupPresentationFunctions1`1`n`(SetCategory)->etc`(S)`GROUPPF1`1382223
pGuessAlgebraicNumber`0`n`()->etc``GUESSAN`1382406
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`1382479
pGuessFiniteFunctions`1`n`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF1`1382579
pGuessFinite`1`x`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF`1382663
pGuessInteger`0`x`()->etc``GUESSINT`1382743
pGuessPolynomialFunctions`1`n`(Ring)->etc`(R)`GUESSP1`1382814
pGuessPolynomialInteger`0`x`()->etc``GUESSPI`1382896
pGuessPolynomial`1`x`(Ring)->etc`(R)`GUESSP`1382987
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`1383060
pHallBasis`0`x`()->etc``HB`1383228
pHankelPackage`1`n`(Ring)->etc`(R)`HANKP`1383761
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1383806
pIdealDecompositionPackage`1`x`(List(Symbol))->etc`(vl)`IDECOMP`1383970
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1384280
pInfiniteLambertProduct`2`x`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1384355
pInfiniteTupleFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ITFUN2`1384431
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1384494
pInfinity`0`x`()->etc``INFINITY`1384559
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1384641
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:Join(LinearAggregate(R),etc),B:Join(LinearAggregate(Q),etc))->etc`(R,Q,A,B)`ICDEN`1384782
pInnerEigenPackage`1`n`(Field)->etc`(F)`IEP`1384952
pInnerMatrixLinearAlgebraFunctions`4`n`(R:DivisionRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1385263
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`1385424
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`1385679
pInnerModularHermitePade`0`n`()->etc``IMODHP`1385998
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1386381
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1386652
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1386800
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1386972
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1387563
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1387629
pInnerTrigonometricManipulations`3`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1387671
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1387856
pIntegerBits`0`n`()->etc``INTBIT`1387900
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`1387968
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1388079
pIntegerLinearDependence`1`x`(LinearlyExplicitOver(Integer))->etc`(R)`ZLINDEP`1388460
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1388514
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1388596
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1388804
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1388888
pIntegerSmithNormalForm`0`n`()->etc``ISMITH`1389014
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1389228
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1389411
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1389578
pIntegrateSolutions`2`n`(F:Join(Field,etc),L:Join(UnivariateSkewPolynomialCategory(F),etc))->etc`(F,L)`INTDSOL`1389696
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1389826
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1389959
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1390233
pIntegrationTools`2`n`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1390436
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1390585
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`1390659
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1391199
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1391260
pJFriCASSupport`0`n`()->etc``JFRICAS`1391834
pJetCoordinateTransformation`4`n`(JetBundleCategory,JB2:JetBundleCategory,Vector(JetBundleExpression(JB2)),Vector(JetBundleExpression(JB2)))->etc`(JB1,JB2,Y,W)`JCT`1392178
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`1392548
pKernelFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`KERNEL2`1392943
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1393008
pLLLReduction`0`n`()->etc``LLLRED`1393167
pLODOConvertions`3`n`(Coeff:Ring,Ab:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,Ab,R)`LODOCONV`1393431
pLUDecomposition`1`n`(Field)->etc`(D)`LUD`1393632
pLaplaceTransform`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1393773
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`1393834
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:GcdDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1394367
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1394602
pLiftLinearDependence`3`n`(F:Field,Q:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,Q,UP)`LLINDEP`0
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1395456
pLinearCombinationUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LINCOMB`1395785
pLinearDependence`2`n`(S:IntegralDomain,R:LinearlyExplicitOver(S))->etc`(S,R)`LINDEP`1395882
pLinearOrdinaryDifferentialOperator3Aux`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,A,R)`LODO3AUX`1395918
pLinearOrdinaryDifferentialOperatorFactorizer2`2`n`(Symbol,cen:Expression(Integer))->etc`(var,cen)`LODOF2`1396092
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1396265
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1396437
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1396572
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1396829
pLinearSystemMatrixPackage2`1`n`(IntegralDomain)->etc`(S)`LSMP2`1397123
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`1397187
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1397263
pLiouvillianFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1397358
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1397435
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1397584
pListPackage`1`n`(BasicType)->etc`(T)`LISTPKG`1397735
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1397759
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`1398177
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`1398266
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1398301
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1398677
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1399059
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1399296
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1399358
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1399587
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1399652
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1399789
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1399851
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1399888
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1399925
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1399962
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1399999
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1400036
pMathematicalSymbols`0`n`()->etc``MATHSYM`1400073
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`1400193
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1400347
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1400501
pMatrixManipulation`4`n`(R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:TwoDimensionalArrayCategory(R,Row,Col))->etc`(R,Row,Col,M)`MAMA`1400609
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1400830
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1400883
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`1400953
pModularAlgebraicGcd`3`n`(MPT:Type,MD:Type,ModularAlgebraicGcdOperations(Polynomial(Integer),MPT,MD))->etc`(MPT,MD,MO)`MAGCD`1401320
pModularFactorizationGeneral`5`n`(PA:Type,MMT:Type,MD:Type,PMD:Type,ModularFactorizationOperations(PA,MMT,MD,PMD))->etc`(PA,MMT,MD,PMD,MO)`MODFACTG`1401456
pModularFactorizationK`1`n`(FiniteFieldCategory)->etc`(K)`MODFACK`0
pModularFactorization`0`n`()->etc``MODFACT`0
pModularHermitePadeSolver`2`n`(CommutativeRing,S:CommutativeRing)->etc`(F,S)`MODHPS`1401671
pModularHermitePade`0`n`()->etc``MODHP`1401765
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1402055
pMomentPackage`1`n`(CommutativeRing)->etc`(R)`MOMPKG`1402197
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1402303
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1402436
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1402484
pMrvLimitPackage`0`n`()->etc``MRVLIM`1402750
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1402814
pMultiVariableCalculusFunctions`4`n`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:FiniteLinearAggregate(S))->etc`(S,F,FLAF,FLAS)`MCALCFN`1402896
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`1403183
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`1403241
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1403405
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1403672
pNGroebnerPackage`3`n`(Dom:LeftOreRing,Expon:OrderedAbelianMonoidSup,Dpol:SolvableSkewPolynomialCategory(Dom,Expon))->etc`(Dom,Expon,Dpol)`NGROEB`1403939
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1404217
pNaiveBeckermannLabahnModular`0`n`()->etc``NBLM`1404449
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1404765
pNewtonInterpolation`1`n`(IntegralDomain)->etc`(F)`NEWTON`1405091
pNonLinearFirstOrderODESolver`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1405226
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1405380
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1405614
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1405775
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1405892
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`1405927
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1406068
pNumberFormats`0`n`()->etc``NUMFMT`1406307
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1406460
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1406526
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1406798
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1406937
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1407172
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1407354
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1407455
pNumericalQuadrature`1`x`(FloatingPointSystem)->etc`(F)`NUMQUAD`1412190
pODEIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1415565
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1415732
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1415798
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1415979
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1416138
pOpenMathPackage`0`x`()->etc``OMPKG`1416213
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1416320
pOperationsQuery`0`x`()->etc``OPQUERY`1416690
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1416773
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1416846
pOrePolynomialMatrixOperations`2`n`(F:Field,LO:UnivariateSkewPolynomialCategory(F))->etc`(F,LO)`OREMAT`0
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1416976
pOutputFormTools`0`n`()->etc``OFTOOL`1417053
pOutputPackage`0`x`()->etc``OUT`1417141
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1417198
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1417741
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1418076
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1418401
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`1418470
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1418590
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1419664
pParametricRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEPAR`1419699
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1419944
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1419979
pParametricTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTPAR1`1420014
pPartialDifferentialOperatorHelper`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->etc`(R,Var)`PDOHLP`0
pPartialFractionPackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1420107
pPartialFractionUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PFUTIL`0
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1420378
pPathArrayPackage`1`n`(Ring)->etc`(R)`PARRPKG`1420543
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1420601
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1420629
pPatternMatchAssertions`0`x`()->etc``PMASS`1420661
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1420749
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1420826
pPatternMatchIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1420896
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(Comparable,etc))->etc`(S,E)`PMKERNEL`1421091
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1421160
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`1421227
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1421300
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1421378
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1421449
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1421497
pPatternMatchTools`3`n`(S:SetCategory,R:Join(Comparable,etc),P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1421566
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1421627
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1421699
pPermutationGroupExamples`0`x`()->etc``PGE`1421796
pPiCoercions`1`x`(Join(Comparable,etc))->etc`(R)`PICOERCE`1422202
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1422363
pPlotTools`0`n`()->etc``PLOTTOOL`1422517
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1422561
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1422596
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1422631
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1422733
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`1422833
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1422935
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1423017
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1423728
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`1423841
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`1424138
pPolynomialCommonDenominator`5`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:PolynomialCategory(Q,E,VarSet))->etc`(R,Q,E,VarSet,P)`PCDEN`1424262
pPolynomialEvaluationUtilities`0`n`()->etc``PEVALUT`1424449
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1424977
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1425196
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`1425340
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`1425668
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1425722
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1425776
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`1425871
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1425947
pPolynomialSolveByFormulas`3`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc),Join(PolynomialFactorizationExplicit,etc))->etc`(UP,F,RR)`SOLVEFOR`1426237
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1426477
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1426899
pPosetFactory`1`n`(SetCategory)->etc`(S)`POSETF`1427132
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1427349
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1427595
pPrimGCD`0`n`()->etc``PRIGCD3`1427773
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1428046
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1428199
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1428298
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1428529
pPrintPackage`0`x`()->etc``PRINT`1428595
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1428660
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1428777
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1429528
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`1429698
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1429792
pQuasiAlgebraicSet2`1`n`(List(Symbol))->etc`(vl)`QALGSET2`1429829
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`1431064
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1431238
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1431436
pRDEaux`1`n`(Field)->etc`(F)`RDEAUX`1431545
pRadicalEigenPackage`0`x`()->etc``REP`1431604
pRadicalSolvePackage`1`x`(Join(PolynomialFactorizationExplicit,etc))->etc`(R)`SOLVERAD`1431886
pRadixUtilities`0`x`()->etc``RADUTIL`1432059
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1432126
pRandomFloatDistributions`0`n`()->etc``RFDIST`1432176
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1432241
pRandomNumberSource`0`x`()->etc``RANDSRC`1432292
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`1432484
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1433065
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1433192
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1433314
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1433397
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1433451
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1433524
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1433569
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1433667
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1433749
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1433812
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1433963
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1434046
pRationalUnivariateRepresentationPackage`2`n`(Join(PolynomialFactorizationExplicit,etc),List(Symbol))->etc`(R,ls)`RURPK`1434111
pRealNormalizationUtilities`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RNORM`1434538
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1434639
pRealSolvePackage`0`n`()->etc``REALSOLV`1434740
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1434858
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1435164
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`1435469
pRecurrenceOperator`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`RECOP`1435634
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`1435817
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`1435919
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1436034
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`1436185
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`1437490
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1437648
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1437703
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1437758
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1438267
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1438827
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1438926
pRootFSSplit`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`RFSSPLIT`1439078
pRootSimplification`0`n`()->etc``RSIMP`1439167
pRootUtilities`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ROOTUT`1439268
pSTransformPackage`4`x`(R:Join(CommutativeRing,etc),UTSR:UnivariateTaylorSeriesCategory(R),ULSR:UnivariateLaurentSeriesConstructorCategory(R,UTSR),UPSR:UnivariatePuiseuxSeriesConstructorCategory(R,ULSR))->etc`(R,UTSR,ULSR,UPSR)`STRANS`1439316
pScanningUtilities`0`n`()->etc``SCANUTIL`0
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1439395
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1439498
pSequenceFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`SEQU2`1439576
pSimplicialComplexFactory`1`n`(AbelianGroup)->etc`(VS)`SIMPCF`1439625
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1439695
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1439803
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1439910
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1439959
pSparsePolynomialCoercionHelpers`3`n`(Ring,VarSet1:OrderedSet,VarSet2:OrderedSet)->etc`(R,VarSet1,VarSet2)`SMPCOER`1440319
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1440429
pSpecialFunctionUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`SPFUTS`1440755
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1440848
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`1440956
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`1441139
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`1442365
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1442625
pStreamExponentialSeriesOperations`1`n`(CommutativeRing)->etc`(Coef)`STEXPS`1442925
pStreamExponentialSeriesTranscendentalFunctions`1`n`(Join(Algebra(Fraction(Integer)),etc))->etc`(Coef)`STEXPST`1443089
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1443295
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1443357
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1443420
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1443485
pStreamTensor`1`n`(Type)->etc`(R)`STNSR`0
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1443631
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1443837
pStructuralConstantsPackage`1`x`(IntegralDomain)->etc`(R)`SCPKG`1444001
pSturmHabichtPackage`2`x`(R:OrderedIntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SHP`1444189
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1444310
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1444582
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1444650
pSymmetryAnalysis`3`n`(JetBundleCategory,xi:Union(Symbol,List(Symbol)),eta:Union(Symbol,List(Symbol)))->etc`(JB1,xi,eta)`SYMANA`1444857
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1445139
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`1445264
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1446124
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1446324
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1446744
pTaylorSolve`3`n`(F:Field,UTSF:UnivariateTaylorSeriesCategory(F),UTSSMPF:UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(F,UTSF,UTSSMPF)`UTSSOL`0
pTemplateUtilities`0`n`()->etc``TEMUTL`1446798
pTensorPowerFunctions2`5`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M1:FreeModuleCategory(R,B),M2:Module(R))->etc`(n,R,B,M1,M2)`TENSPO2`1446864
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1446911
pTimeoutPackage`1`n`(Type)->etc`(S)`TIMEOUT`1447056
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1447111
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1447157
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1447277
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1447393
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1447522
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1447618
pTransSolvePackageService`1`n`(Join(Comparable,etc))->etc`(R)`SOLVESER`1447693
pTransSolvePackage`1`x`(Join(Comparable,etc))->etc`(R)`SOLVETRA`1448243
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1449080
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1449132
pTranscendentalManipulations`2`x`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1449224
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1449350
pTrigonometricManipulationsAux`2`n`(G:Join(IntegralDomain,etc),FG:Join(FunctionSpace(G),etc))->etc`(G,FG)`TRIGMNPA`1449816
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1450001
pTubePlotTools`0`n`()->etc``TUBETOOL`1450153
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`1450230
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1450344
pU32VectorPolynomialOperations`0`n`()->etc``POLYVEC`1450512
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1450854
pUnitGaussianElimination`0`n`()->etc``UGAUSS`1450984
pUnittestAux`1`n`(BasicType)->etc`(R)`TESTAUX`1451060
pUnittestCount`0`n`()->etc``TESTCNT`1451201
pUnittest`0`n`()->etc``TESTUNIT`1451483
pUnivariateFiniteFieldFactorize`2`n`(F:FiniteFieldCategory,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`UFFACT`0
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`1451710
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Join(SemiRng,etc),PR:UnivariatePolynomialCategory(R),S:Join(SemiRng,etc),PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1451888
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`1452032
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1452218
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1452365
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1452711
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1453003
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1453669
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1453820
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1453949
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1454126
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1454278
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1454356
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1454423
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1454657
pVectorHermitePadeSolver`0`n`()->etc``VHPSOLV`0
pVectorPolynomialOperationsF`1`n`(FiniteFieldCategory)->etc`(K)`POLVECF`0
pVectorPolynomialOperationsP`1`n`(PositiveInteger)->etc`(p)`POLVECP`0
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1454963
pViewportPackage`0`n`()->etc``VIEW`1455052
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1455179
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1455756
pXDistributedPolynomialFunctions`2`n`(OrderedSet,F:Field)->etc`(VAR,F)`XDPOLYF`1456109
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1456401
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`1456579
pcompCode`0`n`()->etc``COMPCODE`1457882
pcompUtil`1`n`(VarCat)->etc`(UT)`COMPUTIL`1458715
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1458748
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1458877
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1458999
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1459594
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1459748
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1460262
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1460356
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),Join(Comparable,etc))->etc`(S,R)`ACFS-`1460403
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1460459
xAssociationListAggregate&`3`n`(AssociationListAggregate(Key,Entry),SetCategory,Entry:Type)->etc`(S,Key,Entry)`ALAGG-`1460517
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1460687
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1460916
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1461035
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1461176
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1461395
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1461495
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1461937
xDictionary&`2`n`(Dictionary(S),S:Type)->etc`(A,S)`DIAGG-`1462025
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:Type)->etc`(A,S)`DIOPS-`1462346
xDifferentialExtension&`2`n`(DifferentialExtension(R),R:Ring)->etc`(S,R)`DIFEXT-`1462477
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1462606
xDifferentialRing&`1`n`(DifferentialRing)->etc`(S)`DIFRING-`1463913
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1464026
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1466377
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1466535
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1466705
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:Type,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1466752
xEntireRing&`1`n`(EntireRing)->etc`(S)`ENTIRER-`1467124
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1467275
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1467666
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1467824
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1467902
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1468298
xFacetCategory&`1`n`(FacetCategory)->etc`(S)`FACTCAT-`1468387
xField&`1`n`(Field)->etc`(S)`FIELD-`1468557
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1468780
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1469023
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1469254
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1469426
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-`1470946
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1471177
xFiniteGraph&`2`n`(FiniteGraph(S),S:SetCategory)->etc`(A,S)`FGRPH-`1471238
xFiniteGroup&`1`n`(FiniteGroup)->etc`(S)`FINGRP-`1471318
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1471357
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1471480
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1471632
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1471836
xFormatterCategory&`1`n`(FormatterCategory)->etc`(S)`FMTCAT-`0
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1472852
xFramedModule&`2`n`(FramedModule(R),R:Join(SemiRng,etc))->etc`(S,R)`FRMOD-`1472966
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1473063
xFreeModuleCategory&`3`n`(FreeModuleCategory(R,S),R:Join(SemiRng,etc),S:SetCategory)->etc`(A,R,S)`FMCAT-`1473342
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1474167
xFullyLinearlyExplicitOver&`2`n`(FullyLinearlyExplicitOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1474290
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1474510
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1474918
xFunctionSpace&`2`n`(FunctionSpace(R),R:Comparable)->etc`(S,R)`FS-`1475002
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1475082
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1475390
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1475746
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1476288
xHashable&`1`n`(Hashable)->etc`(S)`HASHABL-`1476401
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1476500
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1477032
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:Type,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1477093
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1477353
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1477679
xJetBundleBaseFunctionCategory&`2`n`(JetBundleBaseFunctionCategory(JB),JetBundleCategory)->etc`(S,JB)`JBBFC-`1477746
xJetBundleCategory&`1`n`(JetBundleCategory)->etc`(S)`JBC-`1478037
xJetBundleFunctionCategory&`2`n`(JetBundleFunctionCategory(JB),JB:JetBundleCategory)->etc`(S,JB)`JBFC-`1478710
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`KDAGG-`1479135
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1479245
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1479907
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1479973
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1480190
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1480876
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1481143
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1481332
xMagma&`1`n`(Magma)->etc`(S)`MAGMA-`1481420
xMagmaWithUnit&`1`n`(MagmaWithUnit)->etc`(S)`MAGMAWU-`1481527
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:AbelianMonoid,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1481991
xMaybeSkewPolynomialCategory&`4`n`(MaybeSkewPolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`GPOLCAT-`1482598
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1482783
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1482851
xMultivariateTaylorSeriesCategory&`3`n`(MultivariateTaylorSeriesCategory(Coef,Var),Coef:Ring,Var:OrderedSet)->etc`(S,Coef,Var)`MTSCAT-`1482962
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1483071
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NARING-`1483268
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1483415
xNonAssociativeSemiRng&`1`n`(NonAssociativeSemiRng)->etc`(S)`NASRNG-`1483773
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1483902
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1484121
xOpenMath&`1`n`(OpenMath)->etc`(S)`OM-`1484920
xOrderedRing&`1`n`(OrderedRing)->etc`(S)`ORDRING-`1485012
xOrderedSet&`1`n`(OrderedSet)->etc`(S)`ORDSET-`1485147
xPartialDifferentialRing&`2`n`(PartialDifferentialRing(S),S:SetCategory)->etc`(A,S)`PDRING-`1485468
xPartialOrder&`1`n`(PartialOrder)->etc`(S)`PORDER-`1485575
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1485694
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1485911
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-`1486056
xPoset&`2`n`(Poset(S),S:SetCategory)->etc`(A,S)`POSET-`1486661
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1487127
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1487253
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1487392
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1487485
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1487557
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1487653
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1487949
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-`1488061
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1488291
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1488740
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-`1489210
xRetractableFrom&`2`n`(RetractableFrom(S),S:Type)->etc`(A,S)`RETFROM-`1491452
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1491631
xRng&`1`n`(Rng)->etc`(S)`RNG-`1491808
xSPointCategory&`1`n`(SPointCategory)->etc`(S)`SPTCAT-`1492034
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1492365
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1492692
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-`1492965
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1493222
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1493485
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`TBAGG-`1493590
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-`1493712
xTensorPowerCategory&`4`n`(TensorPowerCategory(n,R,M),NonNegativeInteger,R:CommutativeRing,M:Module(R))->etc`(S,n,R,M)`TENSPC-`1493743
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1493812
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-`1493874
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1494942
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:IndexedAggregate(Integer,R),Col:IndexedAggregate(Integer,R))->etc`(S,R,Row,Col)`ARR2CAT-`1494992
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1495538
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1496021
xUnivariateLaurentSeriesCategory&`2`n`(UnivariateLaurentSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`ULSCAT-`1496195
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1496297
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Join(SemiRng,etc))->etc`(S,R)`UPOLYC-`1496594
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1496743
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1497091
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1497392
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1497775
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1497875
