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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`67372
dCell`1`n`(RealClosedField)->Join(CoercibleTo(OutputForm),etc)`(TheField)`CELL`0
dChainComplex`0`n`()->Join(SetCategory,etc)``CHAINC`67620
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`68031
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`68121
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,SquareMatrix(n,K))->Join(Ring,etc)`(n,K,bLin)`CLIF`68179
dCoChainComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`COCHNC`68442
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`68857
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`68967
dComplexDoubleFloatMatrix`0`n`()->MatrixCategory(Complex(DoubleFloat),ComplexDoubleFloatVector,ComplexDoubleFloatVector)``CDFMAT`69002
dComplexDoubleFloatVector`0`n`()->Join(VectorCategory(Complex(DoubleFloat)),etc)``CDFVEC`69222
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`69441
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`69646
dCubicalFacet`0`n`()->Join(FacetCategory,etc)``CFACET`70230
dCyclicGroup`2`n`(PositiveInteger,Symbol)->Join(FiniteGroup,etc)`(n,g)`CYCGRP`70565
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`70606
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`70662
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`70769
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`71034
dDeltaComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`DELTAC`71125
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`71763
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`72050
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`72096
dDihedralGroup`3`n`(PositiveInteger,Symbol,Symbol)->Join(FiniteGroup,etc)`(n,a,b)`DIHGRP`72362
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`72495
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`72581
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->Join(DirectProductCategory(dim,R),etc)`(dim,R)`DIRPROD`72680
dDirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`DGRPH`73280
dDirichletRing`1`n`(Ring)->Join(Ring,etc)`(Coef)`DIRRING`73360
dDistributedJetBundlePolynomial`4`n`(Ring,JB:JetBundleCategory,LJV:List(JB),E:DirectProductCategory(#(LJV),NonNegativeInteger))->Join(PolynomialCategory(R,E,JB),etc)`(R,JB,LJV,E)`DJBP`73463
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`73728
dDistribution`1`x`(CommutativeRing)->Join(DistributionCategory(R),etc)`(R)`DISTRO`74082
dDoubleFloatMatrix`0`n`()->MatrixCategory(DoubleFloat,DoubleFloatVector,DoubleFloatVector)``DFMAT`74227
dDoubleFloatVector`0`n`()->Join(VectorCategory(DoubleFloat),etc)``DFVEC`74439
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`74650
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`76497
dElementaryFunctionsGeneralizedUnivariatePowerSeries`3`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,PS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc))->Join(PartialTranscendentalFunctions(PS),etc)`(Coef,Expon,PS)`EFGUSER`76591
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`76620
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`77030
dEnumeration`1`x`special`(a,b,...,c)`ENUM`77440
dEqTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`77596
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`77761
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`78001
dExit`0`x`()->SetCategory``EXIT`78201
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`78488
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Join(Field,etc),var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`78772
dExpression`1`x`(Comparable)->Join(FunctionSpace(R),etc)`(R)`EXPR`79544
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`79592
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`80427
dFakePolynomial`0`n`()->Join(CoercibleTo(OutputForm),etc)``FAKEPOL`81263
dFileName`0`x`()->FileNameCategory``FNAME`81594
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`81663
dFiniteBiCPO`1`n`(SetCategory)->BiCPO(S)`(S)`FBICPO`81797
dFiniteCoDcpo`1`n`(SetCategory)->CoDcpo(S)`(S)`FCDCPO`82233
dFiniteCubicalComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`CUBEC`82697
dFiniteDcpo`1`n`(SetCategory)->Dcpo(S)`(S)`FDCPO`82998
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`83462
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`83691
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`84290
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`84919
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`85567
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`85841
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`86140
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`86649
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`87155
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`87643
dFiniteLattice`2`n`(S:SetCategory,FiniteBiCPO(S))->Join(Lattice,etc)`(S,p)`FINLAT`87842
dFiniteMoebiusFunction`1`n`(Join(PartialOrder,etc))->Join(SetCategory,etc)`(P)`FMOEBF`88100
dFinitePoset`1`n`(SetCategory)->Poset(S)`(S)`FPOSET`88179
dFiniteSimplicialComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`SIMPC`88643
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`89111
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`90109
dFormat1D`0`n`()->FormatterCategory``FMT1D`93856
dFormat2D`0`n`()->FormatterCategory``FMT2D`94023
dFormatLaTeX`0`n`()->Join(FormatterCategory,etc)``FMTLATEX`94137
dFormatMathJax`0`n`()->Join(FormatterCategory,etc)``FMTMJAX`94546
dFormattedOutput`0`n`()->Join(OutputFormatterCategory,etc)``FMTOUT`94733
dFormatter`1`n`(FormatterCategory)->Join(OutputFormatterCategory,etc)`(F)`FORMAT`0
dFortranCode`0`n`()->Join(SetCategory,etc)``FC`94954
dFortranExpression`3`n`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`95060
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`95219
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`95389
dFortranTemplate`0`n`()->Join(FileCategory(FileName,String),etc)``FTEM`95529
dFortranType`0`n`()->Join(SetCategory,etc)``FT`95572
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`95680
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`95857
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`96034
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`96302
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`96352
dFreeDivisionAlgebra`2`n`(OrderedSet,F:Field)->Join(DivisionRing,etc)`(VAR,F)`FDALG`96397
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`96506
dFreeMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`FMAGMA`96761
dFreeModule`2`n`(Join(SemiRng,etc),S:SetCategory)->Join(BiModule(R,R),etc)`(R,S)`FM`96960
dFreeMonoid`1`n`(SetCategory)->Join(Monoid,etc)`(S)`FMONOID`97761
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`98366
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`98506
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`98833
dFunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`FNGRPH`98878
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`98927
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`99479
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`99512
dGeneralQuaternion`3`n`(R:CommutativeRing,R,R)->QuaternionCategory(R)`(R,p,q)`QUAT2`99548
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:BasicType,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`99866
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`99984
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`100460
dGeneralizedFiniteMoebiusFunction`2`n`(Join(PartialOrder,etc),R:Field)->etc`(P,R)`GENMOEBF`100760
dGeneralizedUnivariatePowerSeries`4`n`(Coef:Ring,Expon:Join(OrderedAbelianMonoid,etc),Symbol,Coef)->Join(UnivariatePowerSeriesCategory(Coef,Expon),etc)`(Coef,Expon,var,cen)`GENUSER`100832
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`100861
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`101027
dGroupPresentation`0`n`()->Join(SetCategory,etc)``GROUPP`101138
dGuessOptionFunctions0`0`n`()->Join(SetCategory,etc)``GOPT0`101576
dGuessOption`0`x`()->Join(SetCategory,etc)``GOPT`101688
dHTMLFormat`0`n`()->Join(SetCategory,etc)``HTMLFORM`101779
dHashState`0`n`()->etc``HASHSTAT`101863
dHashTable`3`n`(SetCategory,Entry:Type,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`101930
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`102089
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`102156
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->DirectProductCategory(dim,S)`(dim,S)`HDP`102251
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`102589
dHomology`0`n`()->Join(SetCategory,etc)``HOMOL`102989
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`103330
dI16Matrix`0`n`()->MatrixCategory(Integer,I16Vector,I16Vector)``I16MAT`103675
dI16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I16VEC`103870
dI32Matrix`0`n`()->MatrixCategory(Integer,I32Vector,I32Vector)``I32MAT`104063
dI32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I32VEC`104258
dI8Matrix`0`n`()->MatrixCategory(Integer,I8Vector,I8Vector)``I8MAT`104451
dI8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I8VEC`104645
dILogic`0`n`()->Join(BoundedLattice,etc)``ILOGIC`104837
dIncidenceAlgebra`2`n`(Ring,S:SetCategory)->Join(SetCategory,etc)`(R,S)`INCALG`104893
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`104949
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`105044
dIndexedDirectProductObject`2`n`(SetCategory,S:SetCategory)->Join(IndexedDirectProductCategory(A,S),etc)`(A,S)`IDPO`105142
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`105623
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`105845
dIndexedJetBundle`5`n`(Symbol,Symbol,Symbol,PositiveInteger,PositiveInteger)->JetBundleCategory`(x,u,p,n,m)`IJB`106920
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`107061
dIndexedMatrix`3`n`(AbelianMonoid,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`107311
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`107773
dIndexedString`1`n`(Integer)->StringAggregate`(mn)`ISTRING`107881
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`107928
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`108498
dInfiniteCyclicGroup`1`n`(Symbol)->Join(Group,etc)`(g)`INFCG`108616
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`108646
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`108761
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`108989
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`109146
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`109262
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`109827
dInnerTable`3`n`(Key:SetCategory,Entry:Type,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`109954
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`110062
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat),etc)``INFORM`110438
dIntegerLocalizedAtPrime`1`n`(PositiveInteger)->Join(EuclideanDomain,etc)`(p)`INTLOCP`110590
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`110801
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`110894
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`110972
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`111467
dJetBundleExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBE`111762
dJetBundleLinearFunction`2`n`(JB:JetBundleCategory,D:JetBundleBaseFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JBLF`112096
dJetBundlePolynomial`2`n`(Ring,JB:JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(R,JB)`JBP`112250
dJetBundleSymAna`3`n`(JetBundleCategory,Union(Symbol,List(Symbol)),Union(Symbol,List(Symbol)))->Join(JetBundleCategory,etc)`(JB1,xi,eta)`JBSA`112407
dJetBundleXExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBX`112635
dJetBundle`2`n`(List(Symbol),List(Symbol))->Join(JetBundleCategory,etc)`(IVar,DVar)`JBUNDLE`112898
dJetDifferentialEquation`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`JDE`113068
dJetDifferential`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JDIFF`113672
dJetLazyFunction`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JLF`113899
dJetVectorField`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JVF`114820
dKernel`1`n`(Comparable)->Join(CachableSet,etc)`(S)`KERNEL`114992
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`115094
dLambda`1`n`(VarCat)->Join(CoercibleTo(OutputForm),etc)`(UT)`LAMBDA`115191
dLatticeJoinOfMeets`0`n`()->Join(BoundedDistributiveLattice,etc)``LATJOFM`115222
dLatticeMeetOfJoins`0`n`()->Join(BoundedDistributiveLattice,etc)``LATMOFJ`115278
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`115334
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`115463
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`115528
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`115896
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(CoercibleTo(SquareMatrix(n,R)),etc)`(n,R)`LSQM`116088
dLinearMultivariateMatrixPencil`1`n`(Ring)->etc`(R)`LINPEN`116443
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`116715
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`116961
dLinearOrdinaryDifferentialOperator3`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->LinearOrdinaryDifferentialOperatorCategory(R)`(Coeff,A,R)`LODO3`117242
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`117499
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`117755
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`117926
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`118313
dLocalAlgebra`2`n`(Algebra(R),R:CommutativeRing)->Join(Algebra(R),etc)`(A,R)`LA`118602
dLocalize`2`n`(Module(R),R:CommutativeRing)->Join(Module(R),etc)`(M,R)`LO`118742
dLoop`0`n`()->Join(SetCategory,etc)``LOOP`118904
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`119214
dMachineComplex`0`n`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`120029
dMachineFloat`0`n`()->Join(FloatingPointSystem,etc)``MFLOAT`120131
dMachineInteger`0`n`()->Join(FortranMachineTypeCategory,etc)``MINT`120233
dMakeCachableSet`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`MKCHSET`120328
dMapping`1`x`special`(T,S)`MAPPING`120420
dMathMLFormat`0`n`()->Join(SetCategory,etc)``MMLFORM`120660
dMatrix`1`x`(AbelianMonoid)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`120755
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(Ring,etc)`(R,Rep)`MODMON`120856
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`121093
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`121315
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`121525
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`121558
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`121607
dMonoidRing`2`n`(Ring,M:Monoid)->MonoidRingCategory(R,M)`(R,M)`MRING`121730
dMultifunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`MFGRPH`122675
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`122724
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`122771
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`123093
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`123346
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`123532
dNonNegativeRational`0`n`()->Join(OrderedAbelianMonoidSup,etc)``NNRAT`123628
dNone`0`n`()->SetCategory``NONE`123722
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`123996
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`124510
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`124569
dOpenMathConnection`0`x`()->etc``OMCONN`124643
dOpenMathDevice`0`x`()->etc``OMDEV`124780
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`124972
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`125046
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`125212
dOperatorHandlers`1`n`(Type)->etc`(HANDLER)`OPHANDL`125277
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`125462
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`125511
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`125770
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoid,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`125855
dOrderedExpression`0`n`()->Join(OrderedRing,etc)``OEXPR`0
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`126185
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`126232
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`126538
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(%,%),etc)`(Kernels,R,var)`ODR`127217
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`127338
dOrientedFacet`0`n`()->Join(FacetCategory,etc)``OFACET`127566
dOutputBox`0`n`()->Join(CoercibleTo(OutputForm),etc)``OUTBOX`127895
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`128227
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`128489
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`128684
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`128757
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`128942
dParametricComplexCurve`1`x`(Type)->etc`(VT)`PARCCURV`129010
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`129358
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`129451
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`129542
dPartialDifferentialOperator`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var)`PDO`129626
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`129901
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`130746
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`130991
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`131227
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`131448
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`131495
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`131634
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`132094
dPiDomain`0`x`()->Join(Field,etc)``HACKPI`132578
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`132856
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`133087
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`133423
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`133788
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`134123
dPolynomialIdeal`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`134179
dPolynomialRing`2`n`(Join(SemiRng,etc),E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`134681
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`135045
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`135334
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`135423
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`135558
dPrimitiveTwoDimensionalArray`1`n`(Type)->Join(TwoDimensionalArrayCategory(S,PrimitiveArray(S),PrimitiveArray(S)),etc)`(S)`PRIMMAT2`135703
dProductFacet`0`n`()->Join(FacetCategory,etc)``PFACET`135932
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`136265
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`136529
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`136592
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`138284
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`138383
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`138436
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`138480
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`138545
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`138690
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`138757
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`138994
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`139129
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`139220
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`139442
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`139695
dResult`0`n`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`139897
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`140093
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`140233
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`140329
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`140435
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`140476
dSArgand`0`n`()->Join(SPointCategory,etc)``SARGND`140545
dSBoundary`1`n`(SPointCategory)->etc`(PT)`SBOUND`140682
dSCartesian`1`n`(PositiveInteger)->SPointCategory`(n)`SCRT`142294
dSConformal`1`n`(PositiveInteger)->Join(SPointCategory,etc)`(n)`SCONF`142405
dSExpressionOf`4`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt)`(Str,Sym,Int,Flt)`SEXOF`142501
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat)``SEX`142587
dSKICombinators`1`n`(VarCat)->Join(SetCategory,etc)`(UT)`SKICOMB`142655
dSTransform`1`n`(SPointCategory)->etc`(PT)`STR`142711
dSceneIFS`1`n`(SPointCategory)->etc`(PT)`SCIFS`143034
dSceneNamedPoints`1`n`(SPointCategory)->Join(SetCategory,etc)`(PT)`SCNP`143386
dScene`1`n`(SPointCategory)->etc`(PT)`SCENE`143594
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`143682
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`143837
dSequence`1`x`(CommutativeRing)->SequenceCategory(R)`(R)`SEQU`143910
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`144019
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`144276
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`144942
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`145056
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->Join(MonogenicAlgebra(R,UP),etc)`(R,UP,M)`SAE`146146
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`146716
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`146962
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`147033
dSmallOrdinal`0`n`()->Join(OrderedAbelianMonoid,etc)``SORD`147135
dSortedExponentVector`0`n`()->OneDimensionalArrayAggregate(Integer)``SOREXPV`147330
dSparseEchelonMatrix`2`n`(OrderedSet,D:Ring)->Join(CoercibleTo(OutputForm),etc)`(C,D)`SEM`147436
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`147847
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`148195
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`148487
dSparseTable`3`n`(SetCategory,Ent:BasicType,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`148779
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`148897
dSparseUnivariatePolynomial`1`n`(Join(SemiRng,etc))->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`149454
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`149828
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`150396
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`150558
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoid)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`151132
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`151597
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`152211
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`153185
dSquareMatrix`2`n`(NonNegativeInteger,R:Join(SemiRng,etc))->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`153460
dStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`STACK`153606
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`153650
dStringTable`1`n`(Type)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`153828
dString`0`x`()->Join(StringCategory,etc)``STRING`153939
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`153986
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`154052
dSubsetLattice`2`n`(S:SetCategory,List(S))->Join(Lattice,etc)`(S,top)`SETLAT`154084
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`154342
dSwitch`0`n`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`154389
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`154501
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`154571
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`154605
dTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`154655
dTableau`1`x`(SetCategory)->Join(CoercibleTo(OutputForm),etc)`(S)`TABLEAU`154879
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`155008
dTensorPower`4`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M:FreeModuleCategory(R,B))->Join(TensorPowerCategory(n,R,M),etc)`(n,R,B,M)`TENSPOW`155139
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`155275
dTexFormat`0`n`()->Join(SetCategory,etc)``TEX`155541
dTexmacsFormat`0`n`()->Join(SetCategory,etc)``TMFORM`156284
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`156381
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`156519
dThreeDimensionalMatrix`1`n`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`156669
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`156752
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`156819
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`157001
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`157158
dTuple`1`n`(Type)->Join(CoercibleTo(PrimitiveArray(S)),etc)`(S)`TUPLE`157305
dTwoDimensionalArray`1`n`(Type)->TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R))`(R)`ARRAY2`157435
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`157553
dTyped`0`n`()->VarCat``TYPED`157619
dU16Matrix`0`n`()->MatrixCategory(Integer,U16Vector,U16Vector)``U16MAT`157677
dU16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U16VEC`157874
dU32Matrix`0`n`()->MatrixCategory(Integer,U32Vector,U32Vector)``U32MAT`158069
dU32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U32VEC`158266
dU64Int`0`n`()->Join(Ring,etc)``U64INT`158461
dU8Matrix`0`n`()->MatrixCategory(Integer,U8Vector,U8Vector)``U8MAT`158588
dU8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U8VEC`158784
dUndirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`UDGRPH`158978
dUnion`1`x`special`(A,B,...,C)`UNION`159027
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`159176
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`159503
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`160047
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`160262
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`160593
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`161113
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`161668
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`161843
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`162304
dUntyped`0`n`()->VarCat``UNTYPED`162421
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`163002
dVectorIntegerReconstructor`0`n`()->etc``VECREC2`163041
dVectorModularReconstructor`0`n`()->etc``VECREC1`163453
dVectorSpaceBasis`1`n`(Field)->Join(BasicType,etc)`(R)`VSBASIS`163997
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`164277
dVoid`0`x`()->etc``VOID`164404
dWeightedGraph`2`n`(SetCategory,W:OrderedAbelianMonoid)->Join(FiniteGraph(S),etc)`(S,W)`WGRPH`164628
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`165139
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`165401
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(vl,R),etc)`(vl,R)`XDPOLY`166100
dXHashTable`2`n`(Hashable,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`XHASHTBL`166304
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`166414
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(XAlgebra(R),etc)`(R,E)`XPR`166698
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`166999
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`167266
dXmlAttribute`0`n`()->etc``XMLAT`167476
dXmlElement`0`n`()->etc``XMLEL`167642
o#`1`n`(%)->NonNegativeInteger`dTuple(S)``167895
o#`1`n`(%)->NonNegativeInteger`dXPolynomialRing(R,E)``167963
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)``168022
o#`1`x`(%)->NonNegativeInteger`cAggregate`has(%,finiteAggregate)`168075
o*`2`n`(%,%)->%`dFreeMagma(VarSet)``168138
o*`2`n`(%,%)->%`dIncidenceAlgebra(R,S)``168189
o*`2`n`(%,%)->%`dInputForm``168305
o*`2`n`(%,%)->%`dOutputForm``168378
o*`2`n`(%,%)->%`dPattern(R)``168432
o*`2`n`(%,%)->%`dVectorSpaceBasis(R)``168485
o*`2`n`(%,%)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``168559
o*`2`n`(%,%)->FunctionGraph(Product(S,S))`dFunctionGraph(S)``168992
o*`2`n`(%,%)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``169475
o*`2`n`(%,%)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``169873
o*`2`n`(%,%)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``170271
o*`2`n`(%,Coef)->%`dInnerTaylorSeries(Coef)``170669
o*`2`n`(%,Integer)->%`dInnerTaylorSeries(Coef)``170743
o*`2`n`(%,Matrix(F))->%`dFreeDivisionAlgebra(VAR,F)``170825
o*`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``170866
o*`2`n`(%,R)->%`dIncidenceAlgebra(R,S)``170911
o*`2`n`(%,R)->%`dXPolynomialRing(R,E)``171004
o*`2`n`(%,S)->%`dFreeGroup(S)``171066
o*`2`n`(%,S)->%`dFreeMonoid(S)``171143
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``171220
o*`2`n`(Coef,%)->%`dInnerTaylorSeries(Coef)``171368
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(D,%)->%`dJetLazyFunction(JB,D)``171442
o*`2`n`(DoubleFloat,%)->%`cSPointCategory``171585
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``171917
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)``172103
o*`2`n`(Matrix(F),%)->%`dFreeDivisionAlgebra(VAR,F)``172172
o*`2`n`(Matrix(Fraction(D)),%)->%`dSparseEchelonMatrix(C,D)`has(D,IntegralDomain)`172210
o*`2`n`(Matrix(R),%)->%`dLinearMultivariateMatrixPencil(R)``172315
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)``172357
o*`2`n`(Permutation(Integer),%)->%`dIncidenceAlgebra(R,S)``172388
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)``172486
o*`2`n`(R,S)->%`dFreeModule(R,S)``172579
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)``172641
o*`2`n`(S,%)->%`dFreeMonoid(S)``172717
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)``172793
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)``172881
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``172953
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``173101
o*`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``173305
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``173528
o*`2`x`(%,%)->%`cMagma``173592
o*`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`173683
o*`2`x`(%,%)->%`dCartesianTensor(minix,dim,R)``173799
o*`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``174207
o*`2`x`(%,Col)->Col`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`174281
o*`2`x`(%,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``174413
o*`2`x`(%,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``174545
o*`2`x`(%,R)->%`cDirectProductCategory(dim,R)`has(R,SemiGroup)`174610
o*`2`x`(%,R)->%`cGradedModule(R,E)``174703
o*`2`x`(%,R)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`174752
o*`2`x`(%,R)->%`cRightModule(R)``174848
o*`2`x`(%,R)->%`cVectorCategory(R)`has(R,SemiGroup)`174959
o*`2`x`(%,R)->%`cXFreeAlgebra(vl,R)``175052
o*`2`x`(%,S)->%`dEquation(S)`has(S,SemiGroup)`175163
o*`2`x`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``175261
o*`2`x`(DoubleFloat,%)->%`dColor``175347
o*`2`x`(Integer,%)->%`cAbelianGroup``175449
o*`2`x`(Integer,%)->%`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`175518
o*`2`x`(Integer,%)->%`cVectorCategory(R)`has(R,AbelianGroup)`175561
o*`2`x`(NonNegativeInteger,%)->%`cAbelianMonoid``175654
o*`2`x`(PositiveInteger,%)->%`cAbelianSemiGroup``175722
o*`2`x`(PositiveInteger,%)->%`dColor``175882
o*`2`x`(R,%)->%`cDirectProductCategory(dim,R)`has(R,SemiGroup)`175984
o*`2`x`(R,%)->%`cGradedModule(R,E)``176080
o*`2`x`(R,%)->%`cLeftModule(R)``176128
o*`2`x`(R,%)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`176238
o*`2`x`(R,%)->%`cVectorCategory(R)`has(R,SemiGroup)`176331
o*`2`x`(Row,%)->Row`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`176427
o*`2`x`(Row,%)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``176556
o*`2`x`(S,%)->%`dEquation(S)`has(S,SemiGroup)`176685
o*`2`x`(vl,%)->%`cXFreeAlgebra(vl,R)``176783
o+`2`n`(%,%)->%`cFiniteGraph(S)``176858
o+`2`n`(%,%)->%`cSPointCategory``176929
o+`2`n`(%,%)->%`dIncidenceAlgebra(R,S)``177501
o+`2`n`(%,%)->%`dInputForm``177613
o+`2`n`(%,%)->%`dOutputForm``177686
o+`2`n`(%,%)->%`dPattern(R)``177740
o+`2`n`(%,%)->%`dVectorSpaceBasis(R)``177793
o+`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``177858
o+`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``177916
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``177974
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)``178227
o+`2`x`(%,%)->%`cAbelianSemiGroup``178373
o+`2`x`(%,%)->%`cGradedModule(R,E)``178433
o+`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)``178613
o+`2`x`(%,%)->%`cVectorCategory(R)`has(R,AbelianSemiGroup)`178725
o+`2`x`(%,%)->%`dColor``178873
o+`2`x`(%,%)->%`dDatabase(S)``178951
o+`2`x`(%,%)->%`dOrderedCompletion(R)`has(R,AbelianMonoid)`0
o+`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``179029
o+`2`x`(%,S)->%`cSegmentCategory(S)`has(S,AbelianSemiGroup)`179114
o+`2`x`(%,S)->%`dEquation(S)`has(S,AbelianSemiGroup)`179178
o+`2`x`(S,%)->%`cSegmentCategory(S)`has(S,AbelianSemiGroup)`179271
o+`2`x`(S,%)->%`dEquation(S)`has(S,AbelianSemiGroup)`179328
o+`2`x`(UP,%)->%`dFullPartialFractionExpansion(F,UP)``179421
o-`1`n`(%)->%`dOutputForm``179481
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)``179534
o-`1`x`(%)->%`cAbelianGroup``179649
o-`1`x`(%)->%`cGradedModule(R,E)``179702
o-`1`x`(%)->%`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`179811
o-`1`x`(%)->%`cVectorCategory(R)`has(R,AbelianGroup)`179872
o-`1`x`(%)->%`dOrderedCompletion(R)`has(R,AbelianGroup)`0
o-`2`n`(%,%)->%`cSPointCategory``179935
o-`2`n`(%,%)->%`dOutputForm``180406
o-`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``180460
o-`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``180525
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``180584
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)``180840
o-`2`x`(%,%)->%`cAbelianGroup``180993
o-`2`x`(%,%)->%`cGradedModule(R,E)``181088
o-`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`181275
o-`2`x`(%,%)->%`cVectorCategory(R)`has(R,AbelianGroup)`181394
o-`2`x`(%,%)->%`dDatabase(S)``181549
o-`2`x`(%,%)->Union(%,"failed")`dCardinalNumber``181709
o-`2`x`(%,S)->%`cSegmentCategory(S)`has(S,AbelianGroup)`181818
o-`2`x`(%,S)->%`dEquation(S)`has(S,AbelianGroup)`181882
o-`2`x`(S,%)->%`dEquation(S)`has(S,AbelianGroup)`181982
o/\`2`n`(%,%)->%`cMeetSemilattice``182082
o/\`2`n`(S,S)->S`xBitAggregate&(S)``0
o/\`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``182143
o/\`2`x`(%,%)->%`dSingleInteger``182251
o/`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``182372
o/`2`n`(%,%)->%`dInputForm``182453
o/`2`n`(%,%)->%`dOutputForm``182526
o/`2`n`(%,%)->%`dPattern(R)``182580
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)`182633
o/`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``182739
o/`2`n`(%,R)->%`dLocalAlgebra(A,R)``182807
o/`2`n`(%,R)->%`dLocalize(M,R)``182868
o/`2`n`(%,R)->%`dXPolynomialRing(R,E)`has(R,Field)`182929
o/`2`n`(A,R)->%`dLocalAlgebra(A,R)``182970
o/`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``183031
o/`2`n`(M,R)->%`dLocalize(M,R)``183102
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)``183163
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``183352
o/`2`x`(%,%)->%`cField``183412
o/`2`x`(%,%)->%`cGroup``183508
o/`2`x`(%,%)->%`dEquation(S)`has(S,Field)`183580
o/`2`x`(%,F)->%`cExtensionField(F)``183703
o/`2`x`(%,Integer)->%`cFloatingPointSystem``183761
o/`2`x`(%,R)->%`cAbelianMonoidRing(R,E)`has(R,Field)`183840
o/`2`x`(%,R)->%`cLieAlgebra(R)`has(R,Field)`183903
o/`2`x`(%,R)->%`cMatrixCategory(R,Row,Col)`has(R,Field)`183966
o/`2`x`(%,R)->%`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,Field)`184053
o/`2`x`(S,S)->%`cQuotientFieldCategory(S)``184140
o/`2`x`(SparseMultivariatePolynomial(R,Kernel(%)),SparseMultivariatePolynomial(R,Kernel(%)))->%`cFunctionSpace(R)`has(R,IntegralDomain)`184214
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``184302
o<=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o<=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o<=`2`x`(%,%)->Boolean`cPartialOrder``184357
o<=`2`x`(%,%)->Boolean`dPermutationGroup(S)``184407
o<`2`n`(%,%)->%`dOutputForm``184617
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``184671
o<`2`x`(%,%)->Boolean`cPermutationCategory(S)``184711
o<`2`x`(%,%)->Boolean`dPermutationGroup(S)``184865
o=`2`n`(%,%)->%`dOutputForm``184968
o=`2`n`(%,%)->Boolean`cVarCat``185022
o=`2`n`(%,%)->Boolean`dFortranScalarType``185135
o=`2`n`(%,%)->Boolean`dILogic``185171
o=`2`n`(%,%)->Boolean`dLambda(UT)``185317
o=`2`n`(%,%)->Boolean`dLatticeJoinOfMeets``185610
o=`2`n`(%,%)->Boolean`dLatticeMeetOfJoins``185756
o=`2`n`(%,%)->Boolean`dLinearMultivariateMatrixPencil(R)``185902
o=`2`n`(%,%)->Boolean`dReference(S)``185941
o=`2`n`(%,%)->Boolean`dSKICombinators(UT)``186021
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``186290
o=`2`x`(S,S)->%`dEquation(S)``186351
o>=`2`n`(%,%)->%`dOutputForm``186389
o>=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>=`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>=`2`x`(%,%)->Boolean`cPartialOrder``186444
o>`2`n`(%,%)->%`dOutputForm``186497
o>`2`n`(%,%)->Boolean`cJetBundleCategory``186551
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``186653
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``186696
oAleph`1`x`(NonNegativeInteger)->%`dCardinalNumber``186791
oAlpha`0`n`()->Symbol`pMathematicalSymbols``186860
oAnd`2`n`(%,%)->%`dIndexedBits(mn)``186928
oAnd`2`x`(%,%)->%`dSingleInteger``187020
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)``187132
oBY`2`x`(%,Integer)->%`cSegmentCategory(S)``187723
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``187821
oBeta`0`n`()->Symbol`pMathematicalSymbols``187913
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``187979
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``188065
oBeta`2`x`(%,%)->%`cSpecialFunctionCategory``188105
oBeta`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oBeta`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``188173
oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oBeta`2`x`(Float,Float)->Float`pFloatSpecialFunctions``188227
oBeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``188281
oBeta`3`x`(%,%,%)->%`cSpecialFunctionCategory``188379
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)``188443
oChi`0`n`()->Symbol`pMathematicalSymbols``188557
oChi`1`n`(F)->F`pLiouvillianFunction(R,F)``188621
oChi`1`x`(%)->%`cLiouvillianFunctionCategory``188680
oChi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``188811
oChi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oChi`1`x`(Float)->Float`pFloatLiouvilianFunctions``188870
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``188929
oCi`1`x`(%)->%`cLiouvillianFunctionCategory``188983
oCi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``189108
oCi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oCi`1`x`(Float)->Float`pFloatLiouvilianFunctions``189162
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`x`()->%`cLinearOrdinaryDifferentialOperatorCategory(A)``189216
oD`1`n`(S)->S`xDifferentialExtension&(S,R)``0
oD`1`n`(S)->S`xDifferentialRing&(S)``0
oD`1`n`(Var)->%`dPartialDifferentialOperator(R,Var)``189307
oD`1`n`(Var)->%`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)``189412
oD`1`x`(%)->%`cDifferentialRing``189513
oD`1`x`(%)->%`dFullPartialFractionExpansion(F,UP)``189656
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)``189710
oD`2`n`(Symbol,List(Symbol))->%`dJetBundleSymAna(JB1,xi,eta)``189840
oD`2`x`(%,(R)->R)->%`cDifferentialExtension(R)``189889
oD`2`x`(%,List(S))->%`cPartialDifferentialRing(S)``189984
oD`2`x`(%,NonNegativeInteger)->%`cDifferentialRing``190114
oD`2`x`(%,NonNegativeInteger)->%`dFullPartialFractionExpansion(F,UP)``190185
oD`2`x`(%,S)->%`cPartialDifferentialRing(S)``190256
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)``190349
oD`3`x`(%,List(S),List(NonNegativeInteger))->%`cPartialDifferentialRing(S)``190478
oD`3`x`(%,S,NonNegativeInteger)->%`cPartialDifferentialRing(S)``190643
oDelta`0`n`()->Symbol`pMathematicalSymbols``190791
oDelta`1`n`(Symbol)->%`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)`has(Var,SIGNATURE(variable,Var(Symbol)))`190859
oDiffAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``190964
oDiffC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``191187
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``191501
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)``191593
oEi`1`x`(%)->%`cLiouvillianFunctionCategory``191652
oEi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``191780
oEi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oEi`1`x`(Float)->Float`pFloatLiouvilianFunctions``191839
oEpsilon`0`n`()->Symbol`pMathematicalSymbols``191898
oEta`0`n`()->Symbol`pMathematicalSymbols``191970
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)``192034
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``192092
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``192150
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``192187
oFormatRadix`2`n`(Integer,Integer)->String`pNumberFormats``192273
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``192365
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``192448
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`x`(%)->%`cExtensionField(F)`has(F,Finite)`192488
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(%,NonNegativeInteger)->%`cExtensionField(F)`has(F,Finite)`192575
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``192669
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``192760
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``192891
oGamma`0`n`()->Symbol`pMathematicalSymbols``192981
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``193041
oGamma`1`x`(%)->%`cSpecialFunctionCategory``193118
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``193169
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oGamma`1`x`(Float)->Float`pFloatSpecialFunctions``193220
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``193271
oGamma`2`x`(%,%)->%`cSpecialFunctionCategory``193363
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``193424
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``193981
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``194023
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``194064
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``194143
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``194209
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)``194261
oHankelMatrix`1`n`(List(R))->Matrix(R)`pHankelPackage(R)``194666
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``194857
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``194956
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``195162
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``195585
oHermiteIntegrate`3`n`(Fraction(UP),(UP)->UP,UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``195727
oHermiteIntegrate`3`n`(R,(UP)->UP,R)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``196163
oI`0`n`()->%`dSKICombinators(UT)``196352
oIota`0`n`()->Symbol`pMathematicalSymbols``196391
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``196457
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`196599
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`196854
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`197109
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)))`197391
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,R))->ContinuedFraction(UnivariatePolynomial(z,R))`pDistributionContinuedFractionPackage(R,z)`has(R,Field)`197497
oK`0`n`()->%`dSKICombinators(UT)``197603
oKappa`0`n`()->Symbol`pMathematicalSymbols``197642
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``197710
oLLFI_to_LPA`3`n`(List(List(Fraction(Integer))),Integer,Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``197801
oLLFPI_to_LPA`5`n`(List(List(Fraction(Polynomial(Integer)))),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``197826
oLLF_to_LPA`5`n`(List(List(F)),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePadeSolver(F,S)``197851
oLLL`1`n`(Matrix(Integer))->Matrix(Integer)`pLLLReduction``197875
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``198020
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``198135
oLUDecomp`1`n`(Matrix(D))->Record(LU:Matrix(D),Perm:Vector(Integer),Pivots:List(D))`pLUDecomposition(D)``198225
oLUInverse`1`n`(Matrix(D))->Record(Inv:Matrix(D),Pivots:List(D))`pLUDecomposition(D)``198464
oLUSolve`3`n`(Matrix(D),Vector(Integer),Vector(D))->Vector(D)`pLUDecomposition(D)``198549
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``198753
oLambda`0`n`()->Symbol`pMathematicalSymbols``198812
oLazardQuotient2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``198882
oLazardQuotient2`4`x`(%,%,%,NonNegativeInteger)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`198973
oLazardQuotient`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``199106
oLazardQuotient`3`x`(%,%,NonNegativeInteger)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`199181
oLiePolyIfCan`1`n`(%)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``199298
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(%,"failed")`dLiePolynomial(VarSet,R)``199376
oLiePoly`1`x`(LyndonWord(VarSet))->%`cFreeLieAlgebra(VarSet,R)``199512
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``199596
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``199808
oLyndonCoordinates`1`n`(%)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``199897
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(%))`dLyndonWord(VarSet)``199980
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(%)`dLyndonWord(VarSet)``200114
oMPtoMPT`4`n`(MP,Symbol,List(Symbol),MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``200238
oMu`0`n`()->Symbol`pMathematicalSymbols``200322
oNOT`1`n`(%)->%`dSwitch``200384
oNOT`1`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``200471
oNot`1`n`(%)->%`dIndexedBits(mn)``200558
oNot`1`x`(%)->%`dSingleInteger``200632
oNu`0`n`()->Symbol`pMathematicalSymbols``200725
oNul`1`n`(NonNegativeInteger)->%`dExtAlgBasis``200787
oOMParseError?`1`x`(%)->Boolean`dOpenMathErrorKind``200882
oOMReadError?`1`x`(%)->Boolean`dOpenMathErrorKind``200965
oOMUnknownCD?`1`x`(%)->Boolean`dOpenMathErrorKind``201044
oOMUnknownSymbol?`1`x`(%)->Boolean`dOpenMathErrorKind``201136
oOMbindTCP`2`x`(%,SingleInteger)->Boolean`dOpenMathConnection``201229
oOMcloseConn`1`x`(%)->Void`dOpenMathConnection``201252
oOMclose`1`x`(%)->Void`dOpenMathDevice``201277
oOMconnInDevice`1`x`(%)->OpenMathDevice`dOpenMathConnection``201354
oOMconnOutDevice`1`x`(%)->OpenMathDevice`dOpenMathConnection``201385
oOMconnectTCP`3`x`(%,String,SingleInteger)->Boolean`dOpenMathConnection``201417
oOMencodingBinary`0`x`()->%`dOpenMathEncoding``201443
oOMencodingSGML`0`x`()->%`dOpenMathEncoding``201525
oOMencodingUnknown`0`x`()->%`dOpenMathEncoding``201614
oOMencodingXML`0`x`()->%`dOpenMathEncoding``201809
oOMgetApp`1`x`(%)->Void`dOpenMathDevice``201892
oOMgetAtp`1`x`(%)->Void`dOpenMathDevice``201968
oOMgetAttr`1`x`(%)->Void`dOpenMathDevice``202047
oOMgetBVar`1`x`(%)->Void`dOpenMathDevice``202122
oOMgetBind`1`x`(%)->Void`dOpenMathDevice``202207
oOMgetEndApp`1`x`(%)->Void`dOpenMathDevice``202279
oOMgetEndAtp`1`x`(%)->Void`dOpenMathDevice``202357
oOMgetEndAttr`1`x`(%)->Void`dOpenMathDevice``202438
oOMgetEndBVar`1`x`(%)->Void`dOpenMathDevice``202515
oOMgetEndBind`1`x`(%)->Void`dOpenMathDevice``202602
oOMgetEndError`1`x`(%)->Void`dOpenMathDevice``202676
oOMgetEndObject`1`x`(%)->Void`dOpenMathDevice``202750
oOMgetError`1`x`(%)->Void`dOpenMathDevice``202826
oOMgetFloat`1`x`(%)->DoubleFloat`dOpenMathDevice``202898
oOMgetInteger`1`x`(%)->Integer`dOpenMathDevice``202958
oOMgetObject`1`x`(%)->Void`dOpenMathDevice``203023
oOMgetString`1`x`(%)->String`dOpenMathDevice``203097
oOMgetSymbol`1`x`(%)->Record(cd:String,name:String)`dOpenMathDevice``203159
oOMgetType`1`x`(%)->Symbol`dOpenMathDevice``203221
oOMgetVariable`1`x`(%)->Symbol`dOpenMathDevice``203300
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``203366
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``203437
oOMmakeConn`1`x`(SingleInteger)->%`dOpenMathConnection``203504
oOMopenFile`3`x`(String,String,OpenMathEncoding)->%`dOpenMathDevice``203528
oOMopenString`2`x`(String,OpenMathEncoding)->%`dOpenMathDevice``203775
oOMputApp`1`x`(%)->Void`dOpenMathDevice``203902
oOMputAtp`1`x`(%)->Void`dOpenMathDevice``203977
oOMputAttr`1`x`(%)->Void`dOpenMathDevice``204055
oOMputBVar`1`x`(%)->Void`dOpenMathDevice``204129
oOMputBind`1`x`(%)->Void`dOpenMathDevice``204213
oOMputEndApp`1`x`(%)->Void`dOpenMathDevice``204284
oOMputEndAtp`1`x`(%)->Void`dOpenMathDevice``204361
oOMputEndAttr`1`x`(%)->Void`dOpenMathDevice``204441
oOMputEndBVar`1`x`(%)->Void`dOpenMathDevice``204517
oOMputEndBind`1`x`(%)->Void`dOpenMathDevice``204603
oOMputEndError`1`x`(%)->Void`dOpenMathDevice``204676
oOMputEndObject`1`x`(%)->Void`dOpenMathDevice``204749
oOMputError`1`x`(%)->Void`dOpenMathDevice``204824
oOMputFloat`2`x`(%,DoubleFloat)->Void`dOpenMathDevice``204895
oOMputInteger`2`x`(%,Integer)->Void`dOpenMathDevice``204970
oOMputObject`1`x`(%)->Void`dOpenMathDevice``205049
oOMputString`2`x`(%,String)->Void`dOpenMathDevice``205122
oOMputSymbol`3`x`(%,String,String)->Void`dOpenMathDevice``205199
oOMputVariable`2`x`(%,Symbol)->Void`dOpenMathDevice``205307
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``205388
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``205479
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``205569
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``205660
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``205779
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``205860
oOMsetEncoding`2`x`(%,OpenMathEncoding)->Void`dOpenMathDevice``206039
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``206178
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``206285
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``206432
oOMwrite`1`n`(S)->String`xOpenMath&(S)``0
oOMwrite`1`x`(%)->String`cOpenMath``206598
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``206706
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,%)->Void`cOpenMath``206934
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``207067
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``207299
oOmega`0`n`()->Symbol`pMathematicalSymbols``207392
oOmicron`0`n`()->Symbol`pMathematicalSymbols``207453
oOr`2`n`(%,%)->%`dIndexedBits(mn)``207526
oOr`2`x`(%,%)->%`dSingleInteger``207617
oP`1`n`(List(NonNegativeInteger))->%`cJetBundleCategory``207728
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``207838
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``207974
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``208205
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)``208362
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``208543
oPfaffian`1`n`(S)->R`xMatrixCategory&(S,R,Row,Col)``0
oPfaffian`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`208657
oPfaffian`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`208771
oPhi`0`n`()->Symbol`pMathematicalSymbols``208885
oPi`0`n`()->Symbol`pMathematicalSymbols``208950
oPm`2`n`(PositiveInteger,List(NonNegativeInteger))->%`cJetBundleCategory``209027
oPnan?`1`n`(%)->Boolean`cSPointCategory``209121
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``209617
oPr`2`n`(PositiveInteger,List(PositiveInteger))->%`cJetBundleCategory``209713
oPr`2`n`(PositiveInteger,List(PositiveInteger))->S`xJetBundleCategory&(S)``0
oPsi`0`n`()->Symbol`pMathematicalSymbols``209810
oR1_to_R2_coercion`1`x`(R1)->R2`pDistributionFunctions2(R1,R2)``209875
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`209939
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``210001
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``210207
oRemainderList`1`n`(%)->List(Record(k:Symbol,c:%))`dXPolynomial(R)``0
oRemainderList`1`n`(%)->List(Record(k:VarSet,c:%))`dXRecursivePolynomial(VarSet,R)``210510
oRho`0`n`()->Symbol`pMathematicalSymbols``210598
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(%,%)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``210663
oSEGMENT`1`n`(%)->%`dOutputForm``210899
oSEGMENT`1`x`(S)->%`dUniversalSegment(S)``210961
oSEGMENT`2`n`(%,%)->%`dOutputForm``211047
oSEGMENT`2`x`(S,S)->%`cSegmentCategory(S)``211114
oSFunction`1`x`(List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``211196
oSPDE1`3`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))`pRDEaux(F)``211357
oSTransform1`1`x`(Distribution(R))->UTSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``211785
oSTransform2`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``211933
oSTransform`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``212050
oS`0`n`()->%`dSKICombinators(UT)``212147
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``212187
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``212272
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``212400
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``212594
oShi`1`n`(F)->F`pLiouvillianFunction(R,F)``212676
oShi`1`x`(%)->%`cLiouvillianFunctionCategory``212734
oShi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``212864
oShi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oShi`1`x`(Float)->Float`pFloatLiouvilianFunctions``212922
oShiftAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``212980
oShiftC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``213213
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``213529
oSi`1`x`(%)->%`cLiouvillianFunctionCategory``213582
oSi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``213706
oSi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oSi`1`x`(Float)->Float`pFloatLiouvilianFunctions``213759
oSigma`0`n`()->Symbol`pMathematicalSymbols``213812
oSomos`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``213881
oSomos`1`x`(Union(PositiveInteger,Boolean))->%`dGuessOption``213982
oSturmHabichtCoefficients`2`x`(UP,UP)->List(R)`pSturmHabichtPackage(R,UP)``214208
oSturmHabichtMultiple`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`214334
oSturmHabichtSequence`2`x`(UP,UP)->List(UP)`pSturmHabichtPackage(R,UP)``214637
oSturmHabicht`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)``214745
oT$`0`n`()->%`cBoundedMeetSemilattice``215040
oT$`0`n`()->S`xLogic&(S)``0
oTau`0`n`()->Symbol`pMathematicalSymbols``215075
oTheta`0`n`()->Symbol`pMathematicalSymbols``215140
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``215209
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``215271
oU`0`n`()->%`cJetBundleCategory``215374
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``215431
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)``215503
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``215578
oUpsilon`0`n`()->Symbol`pMathematicalSymbols``215790
oVSUPI_to_VPA`2`n`(Vector(SparseUnivariatePolynomial(Integer)),Integer)->Vector(U32Vector)`pModularHermitePade``215863
oVSUPPI_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(Polynomial(Integer))),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePade``215889
oVSUPS_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(S)),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePadeSolver(F,S)``215915
oVectorise`1`n`(%)->Vector(R)`dModMonic(R,Rep)``215940
oX`0`n`()->%`cJetBundleCategory``216017
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``216076
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``216150
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``216227
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``216295
oZeta`0`n`()->Symbol`pMathematicalSymbols``216458
o\/`2`n`(%,%)->%`cJoinSemilattice``216525
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``216586
o\/`2`x`(%,%)->%`dSingleInteger``216701
o^`2`n`(%,%)->%`dOutputForm``216822
o^`2`n`(%,%)->%`dPattern(R)``216877
o^`2`n`(%,%)->%`dSmallOrdinal``216931
o^`2`n`(%,Integer)->%`dFreeDivisionAlgebra(VAR,F)``217080
o^`2`n`(%,Integer)->%`dInputForm``217118
o^`2`n`(%,Integer)->%`dOperator(R)``0
o^`2`n`(%,NonNegativeInteger)->%`dIncidenceAlgebra(R,S)``217192
o^`2`n`(%,NonNegativeInteger)->%`dInputForm``217311
o^`2`n`(%,NonNegativeInteger)->%`dPattern(R)``217385
o^`2`n`(%,PositiveInteger)->%`cDistributionCategory(R)``217439
o^`2`n`(%,PositiveInteger)->%`dFreeDivisionAlgebra(VAR,F)``217596
o^`2`n`(F,F)->F`pCombinatorialFunction(R,F)``217634
o^`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`217690
o^`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``217761
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)``217878
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)``217956
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)``218034
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``218142
o^`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`218250
o^`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`218332
o^`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``218415
o^`2`x`(%,%)->%`cElementaryFunctionCategory``218483
o^`2`x`(%,%)->%`dCardinalNumber``218541
o^`2`x`(%,Coef)->%`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`218650
o^`2`x`(%,Fraction(Integer))->%`cRadicalCategory``218871
o^`2`x`(%,Integer)->%`cDivisionRing``218957
o^`2`x`(%,Integer)->%`cGroup``219030
o^`2`x`(%,Integer)->%`cMatrixCategory(R,Row,Col)`has(R,Field)`219103
o^`2`x`(%,Integer)->%`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`219250
o^`2`x`(%,Integer)->%`dModuleOperator(R,M)``219359
o^`2`x`(%,NonNegativeInteger)->%`cMagmaWithUnit``219392
o^`2`x`(%,NonNegativeInteger)->%`cMatrixCategory(R,Row,Col)`AND(has(R,Monoid),has(R,SemiRng))`219492
o^`2`x`(%,NonNegativeInteger)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``219611
o^`2`x`(%,PositiveInteger)->%`cMagma``219682
o^`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``219782
o_|_`0`n`()->%`cBoundedJoinSemilattice``219882
o_|_`0`n`()->S`xLogic&(S)``0
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``219921
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``219974
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``220018
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``220070
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``220130
oabs`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``220277
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``220344
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)`220422
oabs`1`x`(%)->%`cOrderedRing``220506
oabs`1`x`(%)->%`cSpecialFunctionCategory``220567
oabs`1`x`(%)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`220628
oabs`1`x`(%)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`220757
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``220845
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``220927
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``221009
oacos`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``221098
oacos`1`n`(F)->F`pElementaryFunction(R,F)``221167
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)``221237
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``221308
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``221379
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``221452
oacos`1`x`(%)->%`cArcTrigonometricFunctionCategory``221527
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``221891
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``221982
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)``222064
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``222156
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``222248
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``222337
oacosh`1`x`(%)->%`cArcHyperbolicFunctionCategory``222428
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``222498
oacot`1`n`(F)->F`pElementaryFunction(R,F)``222587
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)``222660
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``222734
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``222808
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``222884
oacot`1`x`(%)->%`cArcTrigonometricFunctionCategory``222962
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``223023
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``223114
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)``223199
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``223294
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``223389
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``223481
oacoth`1`x`(%)->%`cArcHyperbolicFunctionCategory``223575
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``223648
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``223737
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)``223809
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``223882
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``223955
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``224030
oacsc`1`x`(%)->%`cArcTrigonometricFunctionCategory``224107
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``224167
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``224258
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)``224342
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``224436
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``224530
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``224621
oacsch`1`x`(%)->%`cArcHyperbolicFunctionCategory``224714
oadaptive3D?`0`n`()->Boolean`dPlot3D``224786
oadaptive?`0`n`()->Boolean`dPlot``224862
oadaptive`0`x`()->Boolean`pGraphicsDefaults``224935
oadaptive`1`x`(Boolean)->%`dDrawOption``225013
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``225194
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``225303
oaddALS`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``225514
oaddArrow!`2`n`(%,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->%`cFiniteGraph(S)``225654
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)``225726
oaddArrow!`3`n`(A,NonNegativeInteger,NonNegativeInteger)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(%,String,NonNegativeInteger,NonNegativeInteger)->%`cFiniteGraph(S)``226017
oaddArrow!`4`n`(%,String,S,S)->%`cFiniteGraph(S)``226227
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)``226411
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)``226672
oaddBadValue`2`n`(%,Any)->%`dPattern(R)``226815
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``226969
oaddChild!`2`n`(%,%)->Void`dScene(PT)``227117
oaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``227212
oaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``227444
oaddColumnsRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``227587
oaddCube`2`n`(%,CubicalFacet)->%`dFiniteCubicalComplex(VS)``227764
oaddImpliedFaces`1`n`(%)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``227888
oaddImpliedFaces`1`n`(%)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``228189
oaddMIN`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``228496
oaddMatchRestricted`4`n`(Pattern(R),S,%,S)->%`dPatternMatchResult(R,S)``228576
oaddMatch`3`n`(Pattern(R),S,%)->%`dPatternMatchResult(R,S)``228955
oaddNode!`3`n`(%,String,Scene(PT))->%`dSceneNamedPoints(PT)``229197
oaddObject!`2`n`(%,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->%`cFiniteGraph(S)``229258
oaddObject!`2`n`(%,S)->%`cFiniteGraph(S)``229352
oaddObject!`2`n`(%,S)->%`cPoset(S)``229564
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)``229774
oaddPlot1Din2D`4`n`(%,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``229903
oaddPlot1Din2Dparametric`4`n`(%,ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``230032
oaddPlot1Din3Dparametric`4`n`(%,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``230183
oaddPlot1Din3Dparametric`4`n`(%,ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``230336
oaddPlot2Din3D`5`n`(%,(DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``230487
oaddPlot2Din3Dparametric`5`n`(%,(DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``230622
oaddPlot2Din3Dparametric`5`n`(%,ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``230777
oaddPoint2`2`n`(%,Point(R))->%`dSubSpace(n,R)``230932
oaddPointLast`4`n`(%,%,Point(R),NonNegativeInteger)->%`dSubSpace(n,R)``231112
oaddPoint`2`n`(%,Point(R))->NonNegativeInteger`dSubSpace(n,R)``231416
oaddPoint`3`n`(%,List(NonNegativeInteger),NonNegativeInteger)->%`dSubSpace(n,R)``231578
oaddPoint`3`n`(%,List(NonNegativeInteger),Point(R))->%`dSubSpace(n,R)``232361
oaddPoints!`3`n`(%,String,%)->%`dSceneNamedPoints(PT)``233112
oaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``233177
oaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``233288
oaddRowsColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``233422
oaddSceneArrow`6`n`(%,String,String,PT,Symbol,DoubleFloat)->%`dScene(PT)``233599
oaddSceneArrow`7`n`(%,%,%,PT,Symbol,DoubleFloat,DoubleFloat)->%`dScene(PT)``233741
oaddSceneArrows`4`n`(%,List(List(PT)),Symbol,DoubleFloat)->%`dScene(PT)``233896
oaddSceneBox`2`n`(%,DoubleFloat)->%`dScene(PT)``234026
oaddSceneClip`2`n`(%,Record(mins:PT,maxs:PT))->%`dScene(PT)``234134
oaddSceneClip`2`n`(%,SBoundary(PT))->%`dScene(PT)``234259
oaddSceneDef`3`n`(%,String,%)->%`dScene(PT)``234367
oaddSceneGraph`5`n`(%,DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->%`dScene(PT)``234481
oaddSceneGrid`2`n`(%,Record(mins:PT,maxs:PT))->%`dScene(PT)``234617
oaddSceneGrid`2`n`(%,SBoundary(PT))->%`dScene(PT)``234742
oaddSceneGrid`3`n`(%,DoubleFloat,Record(mins:PT,maxs:PT))->%`dScene(PT)``234850
oaddSceneGrid`3`n`(%,DoubleFloat,SBoundary(PT))->%`dScene(PT)``234975
oaddSceneGroup`1`n`(%)->%`dScene(PT)``235095
oaddSceneIFS`2`n`(%,SceneIFS(PT))->%`dScene(PT)``235199
oaddSceneIFS`3`n`(%,List(List(NonNegativeInteger)),List(PT))->%`dScene(PT)``235306
oaddSceneLine`2`n`(%,List(PT))->%`dScene(PT)``235420
oaddSceneLine`4`n`(%,%,%,DoubleFloat)->%`dScene(PT)``235530
oaddSceneLine`5`n`(%,%,%,DoubleFloat,Boolean)->%`dScene(PT)``235657
oaddSceneLines`2`n`(%,List(List(PT)))->%`dScene(PT)``235784
oaddSceneMaterial`2`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->%`dScene(PT)``235896
oaddSceneMaterial`4`n`(%,DoubleFloat,String,String)->%`dScene(PT)``236013
oaddSceneNamedPoints`2`n`(%,SceneNamedPoints(PT))->%`dScene(PT)``236150
oaddScenePattern`4`n`(%,Symbol,NonNegativeInteger,Record(mins:PT,maxs:PT))->%`dScene(PT)``236272
oaddScenePattern`4`n`(%,Symbol,NonNegativeInteger,SBoundary(PT))->%`dScene(PT)``236397
oaddSceneRuler`4`n`(%,Symbol,PT,Record(mins:PT,maxs:PT))->%`dScene(PT)``236528
oaddSceneRuler`4`n`(%,Symbol,PT,SBoundary(PT))->%`dScene(PT)``236653
oaddSceneShape`2`n`(%,Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->%`dScene(PT)``236782
oaddSceneShape`2`n`(%,SBoundary(PT))->%`dScene(PT)``236895
oaddSceneText`2`n`(%,Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->%`dScene(PT)``237008
oaddSceneText`4`n`(%,List(String),NonNegativeInteger,PT)->%`dScene(PT)``237118
oaddSceneText`4`n`(%,String,NonNegativeInteger,PT)->%`dScene(PT)``237239
oaddSceneTransform`2`n`(%,STransform(PT))->%`dScene(PT)``237360
oaddSceneUse`2`n`(%,String)->%`dScene(PT)``237480
oaddSimplex`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``237587
oaddVertex2`2`n`(%,Record(left:NonNegativeInteger,right:NonNegativeInteger))->%`dProductFacet``237737
oaddVertex`2`n`(%,NonNegativeInteger)->%`dOrientedFacet``237781
oaddWArrow!`5`n`(%,String,NonNegativeInteger,NonNegativeInteger,W)->%`dWeightedGraph(S,W)``237825
oaddWarning`1`n`(OutputForm)->Void`pUnittestCount``238089
oadd_poly`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``238265
oadd_slots`2`n`(List(Integer),%)->Void`dVectorModularReconstructor``238353
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``238418
oadditive?`2`n`(%,PositiveInteger)->Boolean`dDirichletRing(Coef)``238705
oaddmod`3`x`(%,%,%)->%`cIntegerNumberSystem``238810
oadjacencyMatrix`1`n`(%)->Matrix(NonNegativeInteger)`cFiniteGraph(S)``238895
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)``239288
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`x`(%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)``239355
oadjoint`1`x`(%)->%`dModuleOperator(R,M)`has(R,CommutativeRing)`239415
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`239488
oadjoint`2`n`(%,%)->%`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(%,%)->%`dModuleOperator(R,M)`has(R,CommutativeRing)`239671
oadmissibleLinearSystem`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``239790
oairyAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``239845
oairyAiPrime`1`x`(%)->%`cSpecialFunctionCategory``239945
oairyAiPrime`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyAiPrime`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``240034
oairyAi`1`x`(%)->%`cSpecialFunctionCategory``240115
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``240181
oairyBiPrime`1`x`(%)->%`cSpecialFunctionCategory``240281
oairyBiPrime`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyBiPrime`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``240360
oairyBi`1`x`(%)->%`cSpecialFunctionCategory``240441
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)``240507
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)``240637
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``240731
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)``241055
oalg_reduce0`4`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),Symbol)->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``241380
oalg_reduce`4`n`(SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``241457
oalg_split_root0`3`n`(F,Kernel(F),Integer)->List(F)`pRootFSSplit(R,F)``241550
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)``241734
oalg_trial_division`5`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->Boolean`pPrimGCD``241919
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(%)->Boolean`cExtensionField(F)``242205
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,%)->Boolean`cTriangularSetCategory(R,E,V,P)``242323
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``242444
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)``242631
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)``242884
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``242939
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``243071
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(%)->List(V)`cTriangularSetCategory(R,E,V,P)``243202
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)``243331
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)``243618
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)``243779
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)``244091
oalgint`5`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(F)->IntegrationResult(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``244354
oalgintegrate`3`n`(R,(UP)->UP,(F)->IntegrationResult(F))->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``244539
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)`244642
oalgtower`1`x`(List(%))->List(Kernel(%))`cFunctionSpace(R)`has(R,IntegralDomain)`244692
oallDegrees`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``244946
oallDegrees`1`x`(Boolean)->%`dGuessOption``245077
oallIndices`1`n`(%)->List(C)`dSparseEchelonMatrix(C,D)``245329
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`cJetBundleCategory``245434
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`xJetBundleCategory&(S)``245551
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``245668
oallRootsOf`1`x`(Polynomial(Fraction(Integer)))->List(%)`cRealClosedField``245755
oallRootsOf`1`x`(Polynomial(Integer))->List(%)`cRealClosedField``245842
oallRootsOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cRealClosedField``245929
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(%)`cRealClosedField``246016
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(%)`cRealClosedField``246103
oallRootsOf`1`x`(ThePols)->List(%)`cRealRootCharacterizationCategory(TheField,ThePols)``246190
oallSimpleCells`2`n`(List(ThePols),Symbol)->List(%)`dSimpleCell(TheField,ThePols)``246297
oallSimpleCells`2`n`(ThePols,Symbol)->List(%)`dSimpleCell(TheField,ThePols)``246457
oallSubsets`2`n`(%,NonNegativeInteger)->List(%)`dCubicalFacet``246540
oallSubsets`2`n`(%,NonNegativeInteger)->List(%)`dOrientedFacet``246642
oallSubsets`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(%)`dCubicalFacet``246744
oallSubsets`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(%)`dOrientedFacet``246847
oalphaHilbert`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``246950
oalpha`0`n`()->Symbol`pMathematicalSymbols``247050
oalpha`2`n`(NonNegativeInteger,List(NonNegativeInteger))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``247117
oalphabetic?`1`x`(%)->Boolean`dCharacter``247258
oalphabetic`0`x`()->%`dCharacterClass``247373
oalphanumeric?`1`x`(%)->Boolean`dCharacter``247499
oalphanumeric`0`x`()->%`dCharacterClass``247641
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``247771
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``248337
oalternating`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``248729
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``248835
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``249085
oaltsupersub`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``249335
oanalyseSymbol`1`n`(SparseEchelonMatrix(JB,D))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``249742
oand`2`n`(%,%)->%`dOutputForm``249841
oand`2`x`(%,%)->%`cBitAggregate``249898
oand`2`x`(%,%)->%`dBoolean``249991
oangerJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``250077
oangerJ`2`x`(%,%)->%`cSpecialFunctionCategory``250138
oannihilate?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oannihilate?`2`n`(S,S)->Boolean`xRng&(S)``0
oannihilate?`2`x`(%,%)->Boolean`cRng``250199
oansatz`0`n`()->JetVectorField(JB1,JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``250293
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``250367
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``250562
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``250757
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``250918
oantiCommutator`2`n`(%,%)->%`cNonAssociativeSemiRng``251079
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)``251140
oantipode`1`x`(%)->%`cHopfAlgebra(R,MxM)``251178
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)`251250
oantisymmetric?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``251461
oantisymmetric?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,AbelianGroup)`251672
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,CommutativeRing)`251883
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,CommutativeRing)`252461
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)`253057
oany`2`x`(SExpression,None)->%`dAny``253357
oappend!`2`n`(%,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``253543
oappendPoint`2`n`(%,Point(DoubleFloat))->Void`dGraphImage``253621
oappendRow!`2`n`(%,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``253818
oappendSupport!`2`n`(%,List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``253911
oappend`2`n`(%,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``253989
oappend`2`x`(%,%)->%`dList(S)``254066
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)``254225
oapplyQuote`2`x`(Symbol,List(%))->%`cFunctionSpace(R)``254284
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`x`(Symbol,%,%)->%`cFunctionSpace(R)``254373
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`x`(Symbol,%,%,%)->%`cFunctionSpace(R)``254442
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`x`(Symbol,%,%,%,%)->%`cFunctionSpace(R)``254521
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``254610
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``254849
oapplyTaylor`2`n`((UTS)->UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``254989
oapply_taylor`2`n`(Stream(Coef),%)->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``255052
oapply_taylor`2`n`(UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``255293
oapply`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dFunctionGraph(S)``255357
oapply`2`n`(%,Partition)->R`cSequenceCategory(R)``255434
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`x`(Matrix(R),%)->%`cFramedNonAssociativeAlgebra(R)``255576
oapply`2`x`(UPS,Distribution(R))->Distribution(S)`pDistributionPolynomialPackage(R,S,UPS)``255844
oapply`3`n`(%,Integer,Integer)->R`dIncidenceAlgebra(R,S)``255977
oapply`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`dMultifunctionGraph(S)``256038
oapply`3`n`(%,P,P)->Integer`dFiniteMoebiusFunction(P)``256115
oapply`3`n`(%,P,P)->R`dGeneralizedFiniteMoebiusFunction(P,R)``256224
oapply`3`n`(%,S,S)->R`dIncidenceAlgebra(R,S)``256333
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``256502
oapply`3`x`(%,R,R)->R`cUnivariateSkewPolynomialCategory(R)``256663
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``256781
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``256917
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``257040
oapproximants`1`x`(%)->Stream(Fraction(R))`dContinuedFraction(R)``257283
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)``257494
oapproximate`2`x`(%,%)->Fraction(Integer)`cRealClosedField``257597
oapproximate`2`x`(%,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(^,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`257694
oapproximate`2`x`(%,Integer)->Integer`cPAdicIntegerCategory(p)``257829
oapproximate`3`x`(ThePols,%,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``257970
oarbFunctions`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``258100
oarcsineDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)`has(R,Algebra(Fraction(Integer)))`258327
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`258420
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`258560
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`258717
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``260003
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``260058
oargscript`2`x`(%,List(OutputForm))->%`dSymbol``260114
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``260221
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``260351
oargumentList!`3`n`(Symbol,List(Symbol),%)->Void`dTheSymbolTable``260483
oargumentListOf`2`n`(Symbol,%)->List(Symbol)`dTheSymbolTable``260615
oargument`1`n`(%)->E`dFourierComponent(E)``260692
oargument`1`n`(%)->List(S)`cKernelCategory(S)``260770
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`x`(%)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`260848
oarguments`1`n`(OutputForm)->List(OutputForm)`pOutputFormTools``260923
oarity`1`x`(%)->Union(NonNegativeInteger,"failed")`dBasicOperator``261032
oaromberg`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``261152
oarray2`1`n`(List(List(R)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oarray2`1`x`(List(List(R)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``261949
oarrayStack`1`x`(List(S))->%`dArrayStack(S)``262041
oarrowName`3`n`(%,NonNegativeInteger,NonNegativeInteger)->String`cFiniteGraph(S)``262209
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)``262330
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)``262382
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)``262468
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)``262570
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)``262656
oasec`1`n`(F)->F`pElementaryFunction(R,F)``262745
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)``262815
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``262886
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``262957
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``263030
oasec`1`x`(%)->%`cArcTrigonometricFunctionCategory``263105
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``263163
oasech`1`n`(F)->F`pElementaryFunction(R,F)``263254
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)``263336
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``263428
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``263520
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``263609
oasech`1`x`(%)->%`cArcHyperbolicFunctionCategory``263700
oasimpson`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``263770
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``264567
oasin`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``264656
oasin`1`n`(F)->F`pElementaryFunction(R,F)``264725
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)``264793
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``264862
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``264931
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``265002
oasin`1`x`(%)->%`cArcTrigonometricFunctionCategory``265075
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``265437
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``265528
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)``265608
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``265698
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``265788
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``265875
oasinh`1`x`(%)->%`cArcHyperbolicFunctionCategory``265964
oassert`2`x`(%,Symbol)->%`dBasicOperator``266032
oassign`2`n`(%,%)->%`dOutputForm``266183
oassign`2`n`(Symbol,Expression(Complex(Float)))->%`dFortranCode``266261
oassign`2`n`(Symbol,Expression(Float))->%`dFortranCode``266346
oassign`2`n`(Symbol,Expression(Integer))->%`dFortranCode``266431
oassign`2`n`(Symbol,Expression(MachineComplex))->%`dFortranCode``266516
oassign`2`n`(Symbol,Expression(MachineFloat))->%`dFortranCode``266601
oassign`2`n`(Symbol,Expression(MachineInteger))->%`dFortranCode``266686
oassign`2`n`(Symbol,Matrix(Expression(Complex(Float))))->%`dFortranCode``266771
oassign`2`n`(Symbol,Matrix(Expression(Float)))->%`dFortranCode``266856
oassign`2`n`(Symbol,Matrix(Expression(Integer)))->%`dFortranCode``266941
oassign`2`n`(Symbol,Matrix(Expression(MachineComplex)))->%`dFortranCode``267026
oassign`2`n`(Symbol,Matrix(Expression(MachineFloat)))->%`dFortranCode``267111
oassign`2`n`(Symbol,Matrix(Expression(MachineInteger)))->%`dFortranCode``267196
oassign`2`n`(Symbol,Matrix(MachineComplex))->%`dFortranCode``267281
oassign`2`n`(Symbol,Matrix(MachineFloat))->%`dFortranCode``267366
oassign`2`n`(Symbol,Matrix(MachineInteger))->%`dFortranCode``267451
oassign`2`n`(Symbol,String)->%`dFortranCode``267536
oassign`2`n`(Symbol,Vector(Expression(Complex(Float))))->%`dFortranCode``267621
oassign`2`n`(Symbol,Vector(Expression(Float)))->%`dFortranCode``267706
oassign`2`n`(Symbol,Vector(Expression(Integer)))->%`dFortranCode``267791
oassign`2`n`(Symbol,Vector(Expression(MachineComplex)))->%`dFortranCode``267876
oassign`2`n`(Symbol,Vector(Expression(MachineFloat)))->%`dFortranCode``267961
oassign`2`n`(Symbol,Vector(Expression(MachineInteger)))->%`dFortranCode``268046
oassign`2`n`(Symbol,Vector(MachineComplex))->%`dFortranCode``268131
oassign`2`n`(Symbol,Vector(MachineFloat))->%`dFortranCode``268216
oassign`2`n`(Symbol,Vector(MachineInteger))->%`dFortranCode``268301
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->%`dFortranCode``268386
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Float))->%`dFortranCode``268560
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Integer))->%`dFortranCode``268734
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->%`dFortranCode``268908
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->%`dFortranCode``269082
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->%`dFortranCode``269256
oassoc`2`x`(Key,%)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``269430
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`269589
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``269787
oassociates?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`x`(%,%)->Boolean`cEntireRing``269936
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``270067
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``270147
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``270227
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`270576
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(%,%,%)->%`cNonAssociativeRng``270925
oatType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``270995
oatan1`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``271070
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``271122
oatan`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``271211
oatan`1`n`(F)->F`pElementaryFunction(R,F)``271280
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)``271351
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``271423
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``271495
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``271569
oatan`1`x`(%)->%`cArcTrigonometricFunctionCategory``271645
oatan`2`x`(%,%)->%`dDoubleFloat``272064
oatan`2`x`(%,%)->%`dFloat``272151
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``272238
oatanh`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatElementaryFunctions``272329
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``272375
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)``272458
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``272551
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``272644
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``272734
oatanh`1`x`(%)->%`cArcHyperbolicFunctionCategory``272826
oatom?`1`n`(%)->Boolean`dILogic``272897
oatom?`1`n`(%)->Boolean`dLambda(UT)``273023
oatom?`1`n`(%)->Boolean`dLatticeJoinOfMeets``273176
oatom?`1`n`(%)->Boolean`dLatticeMeetOfJoins``273302
oatom?`1`n`(%)->Boolean`dSKICombinators(UT)``273428
oatom?`1`n`(OutputForm)->Boolean`pOutputFormTools``273554
oatom?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``273643
oatom_to_string`1`n`(OutputForm)->String`pOutputFormTools``273709
oatoms`1`n`(%)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``273775
oatrapezoidal`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``273868
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)``274673
oaugment`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``274853
oaugment`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``274955
oaugment`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``275387
oautoReduce`1`n`(List(%))->List(%)`cJetBundleFunctionCategory(JB)``275487
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)``275636
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``275811
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``275900
oaxes`2`x`(%,String)->Void`dThreeDimensionalViewport``276011
oaxes`3`n`(%,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``276243
oaxes`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``276494
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:%))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``276758
oback`1`x`(%)->S`cQueueAggregate(S)``277000
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``277148
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``277186
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``277224
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->%`dBalancedBinaryTree(S)``277356
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``277474
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``277664
obandMatrix`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`277829
obandMatrix`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`278061
oband`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``278293
oband`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``278369
obandedHessian`3`n`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``278451
obandedJacobian`4`n`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``279024
obase`0`n`()->PositiveInteger`dMachineFloat``279744
obase`0`x`()->%`cIntegerNumberSystem``279795
obase`0`x`()->PositiveInteger`cFloatingPointSystem``279883
obase`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``279973
obase`1`x`(%)->List(S)`dPermutationGroup(S)``280034
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)``280096
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)``280422
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``280609
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``280870
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``281029
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``281198
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``281322
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``281502
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``281683
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``281865
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``282093
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``282218
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``282399
obasis`0`n`()->Vector(%)`cFramedModule(R)``282582
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)``282645
obasis`1`n`(%)->Vector(A)`dFractionalIdealAsModule(R,F,UP,A,ibasis)``282729
obasis`1`n`(List(Vector(R)))->%`dVectorSpaceBasis(R)``282807
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``282905
obasis`1`x`(PositiveInteger)->Vector(%)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`282999
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`283090
obasis`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``283162
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``283474
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``283581
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``283631
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``283731
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``283875
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``283963
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``284043
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``284134
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``284195
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace``284282
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`284369
obernoulliDistribution01`1`x`(R)->Distribution(R)`pDistributionPackage(R)``284468
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``284562
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``284886
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``285045
obesselI`2`x`(%,%)->%`cSpecialFunctionCategory``285146
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``285227
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``285442
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``285657
obesselJ`2`x`(%,%)->%`cSpecialFunctionCategory``285758
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``285830
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``286036
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``286242
obesselK`2`x`(%,%)->%`cSpecialFunctionCategory``286343
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``286425
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``286824
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``287224
obesselY`2`x`(%,%)->%`cSpecialFunctionCategory``287325
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``287398
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``287800
obeta`0`n`()->Symbol`pMathematicalSymbols``288202
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`288267
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``288403
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)`288511
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``288666
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``289057
obinarySearchTree`1`x`(List(S))->%`dBinarySearchTree(S)``289109
obinarySearch`2`n`(S,(S,S)->Integer)->Union(S,"failed")`pSortedCache(S)``289209
obinaryTournament`1`x`(List(S))->%`dBinaryTournament(S)``289433
obinaryTree`1`x`(S)->%`dBinaryTree(S)``289551
obinaryTree`3`x`(%,S,%)->%`dBinaryTree(S)``289656
obinary`1`x`(Fraction(Integer))->%`dBinaryExpansion``289790
obinary`2`n`(%,List(%))->%`dInputForm``289864
obinary`2`n`((Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``289980
obinary`2`n`((Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``290310
obind`1`n`(%)->%`dLambda(UT)``290640
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(%,%,NonNegativeInteger)->%`cFiniteAbelianMonoidRing(R,E)`has(%,CommutativeRing)`290731
obinomial`2`n`(%,%)->%`dOutputForm``290834
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``290935
obinomial`2`n`(Integer,Fraction(Integer))->()->Integer`pRandomIntegerDistributions``291112
obinomial`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``291157
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`x`(%,%)->%`cCombinatorialFunctionCategory``291290
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``291490
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``291698
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``292001
obirth`1`n`(%)->%`dSubSpace(n,R)``292243
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(%,%)->Boolean`cIntegerNumberSystem``292280
obitCoef`2`n`(Integer,NonNegativeInteger)->Integer`pIntegerBits``292378
obitTruth`2`n`(Integer,NonNegativeInteger)->Boolean`pIntegerBits``292485
obits`0`x`()->PositiveInteger`cFloatingPointSystem``292609
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`292674
obits`2`x`(NonNegativeInteger,Boolean)->%`dBits``292767
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``292840
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``292938
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``293099
oblankSeparate`1`n`(List(%))->%`dOutputForm``293267
oblockConcat`1`n`(List(List(S)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockConcat`1`x`(List(List(%)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``293362
oblockElimination`5`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``293509
oblockElimination`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),Boolean,List(NonNegativeInteger),List(NonNegativeInteger),Boolean)->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``293618
oblockElimination`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`294010
oblockSplit`3`n`(M,List(NonNegativeInteger),PositiveInteger)->List(List(M))`pMatrixManipulation(R,Row,Col,M)``294364
oblockSplit`3`n`(M,PositiveInteger,List(NonNegativeInteger))->List(List(M))`pMatrixManipulation(R,Row,Col,M)``294485
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)``294606
oblockSplit`3`x`(%,PositiveInteger,PositiveInteger)->List(List(%))`cTwoDimensionalArrayCategory(R,Row,Col)``294983
oblockStructure`1`n`(%)->Matrix(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``295232
oblock`1`n`(List(%))->%`dFortranCode``295527
oblue`0`x`()->%`dColor``295617
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``295692
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``295776
oboolWordPermute`2`n`(NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``295870
oboolWordPermute`3`n`(List(List(Boolean)),NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``296003
obooleanConvolution`2`n`(%,%)->%`cDistributionCategory(R)``296044
obooleanCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``296160
obooleanCumulantFromJacobi`3`x`(Integer,Sequence(R),Sequence(R))->R`dDistribution(R)``296283
obooleanCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``296436
obooleanCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``296544
obottom`1`n`(Stream(List(R)))->Stream(R)`pPathArrayPackage(R)``296650
obottom`1`x`(%)->S`cDequeueAggregate(S)``296715
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`296796
obound`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``296856
oboundary`1`n`(%)->%`dFiniteCubicalComplex(VS)``297075
oboundary`1`n`(%)->%`dFiniteSimplicialComplex(VS)``297293
oboundary`1`n`(%)->List(%)`dCubicalFacet``297492
oboundary`1`n`(%)->List(%)`dOrientedFacet``297561
oboundary`2`n`(%,DoubleFloat)->SBoundary(PT)`dScene(PT)``297630
oboxBoundary`2`n`(PT,PT)->%`dSBoundary(PT)``298519
obox`1`n`(%)->%`dOutputForm``298743
obox`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``298792
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(String)->%`dOutputBox``298977
obox`1`x`(%)->%`cExpressionSpace``299047
obrace`1`n`(%)->%`dOutputForm``299284
obrace`1`n`(List(%))->%`dOutputForm``299371
obracket`1`n`(%)->%`dOutputForm``299502
obracket`1`n`(List(%))->%`dOutputForm``299583
obracket`3`n`(String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``299717
obracket`3`n`(String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``299961
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)``300205
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)``300342
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``300479
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``300555
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``300634
obright`1`x`(Color)->%`dPalette``300719
obright`1`x`(List(String))->List(String)`pDisplayPackage``300813
obright`1`x`(String)->List(String)`pDisplayPackage``300915
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``301004
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``301164
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``301461
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``301557
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``301694
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``301830
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)``301988
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``302246
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`302769
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``302812
obuild`3`n`(R,IS,E)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``302860
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``302907
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``303078
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``303222
ocAcos`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303369
ocAcosh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303495
ocAcot`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303638
ocAcoth`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303767
ocAcsc`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303913
ocAcsch`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304041
ocAsec`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304186
ocAsech`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304312
ocAsin`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304455
ocAsinh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304579
ocAtan`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304720
ocAtanh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304847
ocCos`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304991
ocCosh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305113
ocCot`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305247
ocCoth`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305372
ocCsc`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305509
ocCsch`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305633
ocExp`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305769
ocLog`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305896
ocPower`2`n`(%,Coef)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306021
ocRationalPower`2`n`(%,Fraction(Integer))->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306166
ocSec`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306274
ocSech`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306396
ocSin`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306530
ocSinh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306650
ocTan`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306782
ocTanh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`306905
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``307040
ocall`1`n`(String)->%`dFortranCode``307082
ocanonicalBasis`1`n`(NonNegativeInteger)->%`dVectorSpaceBasis(R)``307157
ocanonicalIfCan`2`n`(MPT,MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``307258
ocanonicalMoebiusFunction`1`n`(List(P))->%`dGeneralizedFiniteMoebiusFunction(P,R)``307364
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``307443
ocar`1`x`(%)->%`cSExpressionCategory(Str,Sym,Int,Flt)``307558
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(%)->NonNegativeInteger`cFiniteSetAggregate(S)``307614
ocarmichaelLambda`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``307722
ocartesianPower`2`n`(List(T),NonNegativeInteger)->List(List(T))`pListPackage(T)``307953
ocartesian`1`n`(List(List(T)))->List(List(T))`pListPackage(T)``308051
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``308179
ocartesian`2`n`(%,%)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``308261
ocartesian`2`n`(%,%)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``308721
ocartesian`2`n`(%,%)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``308843
ocartesian`2`n`(%,%)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``309268
ocatalan`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``309693
ocdr`1`x`(%)->%`cSExpressionCategory(Str,Sym,Int,Flt)``309757
oceiling`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``309828
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(%)->%`cRealNumberSystem``309907
oceiling`1`x`(%)->%`cSpecialFunctionCategory``309970
oceiling`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`310049
ocenter`1`n`(%)->%`dOutputForm``310128
ocenter`1`x`(%)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``310190
ocenter`2`n`(%,Integer)->%`dOutputForm``310277
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``310360
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``310646
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``310965
ochainComplex`1`n`(List(Matrix(Integer)))->%`dChainComplex``311172
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``311191
ochain`1`n`(%)->ChainComplex`dDeltaComplex(VS)``311302
ochain`1`n`(%)->ChainComplex`dFiniteCubicalComplex(VS)``311385
ochain`1`n`(%)->ChainComplex`dFiniteSimplicialComplex(VS)``311468
ochangeBase`3`n`(Integer,Integer,PositiveInteger)->%`dMachineFloat``311664
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``311725
ochangeExprLength`1`n`(Integer)->Void`pFortranCodeTools``311882
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``311964
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``312070
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``312176
ocharClass`1`x`(List(Character))->%`dCharacterClass``312316
ocharClass`1`x`(String)->%`dCharacterClass``312435
ochar_pol_via_den_interpolation`1`n`(Matrix(Fraction(R)))->SparseUnivariatePolynomial(Fraction(R))`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`312556
ochar_pol_via_interpolation`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial3(R)``312652
ochar_pol`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pCharacteristicPolynomial2(F)``312744
ochar`1`x`(Integer)->%`dCharacter``312818
ochar`1`x`(String)->%`dCharacter``312958
ocharacter?`1`n`(%)->Boolean`dFortranScalarType``313039
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``313135
ocharacteristicPolynomial`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pInnerEigenPackage(F)``313244
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)``313347
ocharacteristicPolynomial`1`x`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``313496
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``313677
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``313850
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``314010
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``314189
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``314360
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``314512
ocharacteristicSerie`1`x`(List(P))->List(%)`dWuWenTsunTriangularSet(R,E,V,P)``314800
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(%)`dWuWenTsunTriangularSet(R,E,V,P)``314930
ocharacteristicSet`1`x`(List(P))->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``315309
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``315435
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``316117
ocharlierC`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``316188
ocharlierC`3`x`(%,%,%)->%`cSpecialFunctionCategory``316253
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``316317
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``316428
ocharthRoot`1`x`(%)->Union(%,"failed")`cCharacteristicNonZero``316554
ocharthRoot`1`x`(%)->Union(%,"failed")`cPolynomialFactorizationExplicit`has(%,CharacteristicNonZero)`316672
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``316793
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``317085
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``317277
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``317564
ocheckExtraValues`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``317751
ocheckExtraValues`1`x`(Boolean)->%`dGuessOption``317906
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``318099
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``318360
ocheckOptions`1`n`(List(GuessOption))->Void`dGuessOptionFunctions0``318639
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``318747
ocheckType`1`n`(String)->String`pFortranCodeTools``318869
ocheck_sol1a`6`n`(Vector(U32Vector),List(U32Vector),(List(U32Vector),Integer,Integer)->Vector(U32Vector),Integer,Integer,Integer)->U32Vector`pModularHermitePade``318896
ocheck`1`n`(List(GuessOption))->Union("skip","MonteCarlo","deterministic")`dGuessOptionFunctions0``318957
ocheck`1`x`(%)->%`cThreeSpaceCategory(R)``319222
ocheck`1`x`(Union("skip","MonteCarlo","deterministic"))->%`dGuessOption``319348
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``319636
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``319672
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``319714
ochi`0`n`()->Symbol`pMathematicalSymbols``319755
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)`319818
ochild`2`n`(%,NonNegativeInteger)->%`dSubSpace(n,R)``319899
ochildren`1`n`(%)->List(%)`dSubSpace(n,R)``319941
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)``319981
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``320090
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``320335
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)``320543
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``320603
ochinese_update`3`n`(U32Vector,Integer,%)->Void`dVectorIntegerReconstructor``320807
ochinese_update`3`n`(U32Vector,Integer,%)->Void`dVectorModularReconstructor``320895
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``321015
ochvar`2`n`(List(UPUP),UPUP)->Record(func:List(UPUP),poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``321053
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``321148
ocircle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``321547
oclass`1`n`(%)->NonNegativeInteger`cJetBundleCategory``321613
oclass`1`n`(%)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``321733
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`cJetBundleCategory``321844
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`xJetBundleCategory&(S)``321958
oclass`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oclass`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oclassicalConvolution`2`n`(%,%)->%`cDistributionCategory(R)``322072
oclassicalCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``322192
oclassicalCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``322304
oclearCache`0`n`()->Void`pSortedCache(S)``322409
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``322455
oclearDenominator`1`n`(P)->P`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``322639
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``322788
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``322972
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
oclearFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``323117
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``323189
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``323283
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``323352
oclear_used_intrinsics`0`n`()->Void`pFortranCodeTools``323432
oclexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``323500
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``324085
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``324302
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``324657
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``325046
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``325140
oclipSurface`2`x`(%,String)->Void`dThreeDimensionalViewport``325305
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``325611
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``325955
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``326226
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``326503
oclip`1`x`(Boolean)->%`dDrawOption``326787
oclip`1`x`(List(Segment(Float)))->%`dDrawOption``326951
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``327109
oclose!`1`x`(%)->%`cFileCategory(Name,S)``327424
oclose!`1`x`(%)->%`dLibrary``327502
ocloseComponent`3`n`(%,List(NonNegativeInteger),Boolean)->%`dSubSpace(n,R)``327583
oclose`1`n`(%)->Void`dTwoDimensionalViewport``328051
oclose`1`x`(%)->Void`dThreeDimensionalViewport``328255
oclose`2`n`(%,Boolean)->Boolean`dSubSpaceComponentProperty``328463
oclosed?`1`n`(%)->Boolean`dSubSpaceComponentProperty``328505
oclosed?`1`n`(%)->Boolean`dTubePlot(Curve)``328544
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dDirectedGraph(S)``328623
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dMultifunctionGraph(S)``328753
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dUndirectedGraph(S)``328875
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dWeightedGraph(S,W)``328919
oclosedCurve?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``328963
oclosedCurve`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``329199
oclosedCurve`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``329545
oclosedCurve`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``329808
oclosedCurve`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``330347
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dDirectedGraph(S)``330627
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dFunctionGraph(S)``330751
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dMultifunctionGraph(S)``330877
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dUndirectedGraph(S)``330918
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dWeightedGraph(S,W)``330959
ocmult`1`n`(List(SparseMultivariatePolynomial(R0,Kernel(F))))->SparseMultivariatePolynomial(R0,Kernel(F))`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``331000
ocnlexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``331055
ocoAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``331650
ocoAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``331766
ocoChainComplex`1`n`(ChainComplex)->%`dCoChainComplex(VS)``331882
ocoChainComplex`1`n`(List(Matrix(Integer)))->%`dCoChainComplex(VS)``331926
ocoChain`1`n`(%)->CoChainComplex(VS)`dDeltaComplex(VS)``331945
ocoChain`1`n`(%)->CoChainComplex(VS)`dFiniteSimplicialComplex(VS)``332028
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(%)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`332232
ocoHomology`1`n`(%)->List(Homology)`dCoChainComplex(VS)``332303
ocoHomology`1`n`(%)->List(Homology)`dDeltaComplex(VS)``332351
ocoHomology`1`n`(%)->List(Homology)`dFiniteSimplicialComplex(VS)``332401
ocoboundary`3`n`(%,NonNegativeInteger,List(VS))->List(VS)`dCoChainComplex(VS)``332553
ococyclotomic_decomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicUtilities``332621
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``332735
ocoefChoose`3`n`(Integer,P,List(Record(factor:P,exponent:NonNegativeInteger)))->P`pMultivariateSquareFree(E,OV,R,P)``332832
ocoef`2`n`(%,E)->R`dXPolynomialRing(R,E)``332873
ocoef`2`x`(%,%)->R`cXFreeAlgebra(vl,R)``332992
ocoef`2`x`(%,FreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``333125
ocoef`2`x`(XRecursivePolynomial(VarSet,R),%)->R`cFreeLieAlgebra(VarSet,R)``333210
ocoefficientSet`1`n`(SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
ocoefficient`2`n`(%,%)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``333347
ocoefficient`2`n`(%,%)->R`dAntiSymm(R,lVar)``333541
ocoefficient`2`n`(%,Integer)->R`dLaurentPolynomial(R,UP)``333763
ocoefficient`2`n`(%,JB)->D`dJetDifferential(JB,D)``333811
ocoefficient`2`n`(%,JB)->D`dJetVectorField(JB,D)``333919
ocoefficient`2`n`(%,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``334014
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)``334090
ocoefficient`2`x`(%,List(PositiveInteger))->K`dCliffordAlgebra(n,K,bLin)``334260
ocoefficient`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``334386
ocoefficient`2`x`(%,S)->R`cFreeModuleCategory(R,S)``334462
ocoefficient`3`n`(%,List(VarSet),List(NonNegativeInteger))->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``334550
ocoefficient`3`n`(%,VarSet,NonNegativeInteger)->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``334767
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)``334927
ocoefficient`3`x`(%,Var,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``335077
ocoefficients`1`n`(%)->List(D)`dJetDifferential(JB,D)``335167
ocoefficients`1`n`(%)->List(D)`dJetVectorField(JB,D)``335236
ocoefficients`1`n`(%)->Stream(Coef)`dInnerTaylorSeries(Coef)``335303
ocoefficients`1`n`(%)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``335644
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)``335800
ocoefficients`1`x`(%)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``335876
ocoeffs0`3`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``336034
ocoeffs1`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``336097
ocoerceImages`1`x`(List(S))->%`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`336301
ocoerceImages`1`x`(List(S))->%`dPermutation(S)`has(S,IntegerNumberSystem)`336622
ocoerceL`1`n`(OutputForm)->String`dHTMLFormat``336943
ocoerceL`1`n`(OutputForm)->String`dMathMLFormat``337070
ocoerceL`1`n`(OutputForm)->String`dTexmacsFormat``337199
ocoerceListOfPairs`1`x`(List(List(S)))->%`dPermutation(S)``337329
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``337623
ocoercePreimagesImages`1`x`(List(List(S)))->%`dPermutation(S)``337756
ocoerceS`1`n`(OutputForm)->String`dHTMLFormat``337970
ocoerceS`1`n`(OutputForm)->String`dMathMLFormat``338088
ocoerceToType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``338208
ocoerce_Q`1`n`(Fraction(Integer))->F`pFunctionalSpecialFunction(R,F)``338283
ocoerce`1`n`(%)->(PositiveInteger)->Coef`dDirichletRing(Coef)``0
ocoerce`1`n`(%)->Complex(DoubleFloat)`dSArgand``0
ocoerce`1`n`(%)->Complex(Float)`dMachineComplex``338341
ocoerce`1`n`(%)->D`dJetLazyFunction(JB,D)``338406
ocoerce`1`n`(%)->DeltaComplex(VS)`dFiniteCubicalComplex(VS)``338612
ocoerce`1`n`(%)->DeltaComplex(VS)`dFiniteSimplicialComplex(VS)``338664
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)``338719
ocoerce`1`n`(%)->FiniteSimplicialComplex(VS)`dDeltaComplex(VS)``338759
ocoerce`1`n`(%)->Float`dMachineFloat``338820
ocoerce`1`n`(%)->FreeMagma(VarSet)`dLyndonWord(VarSet)``338890
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dFreeMagma(VarSet)``338993
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dLyndonWord(VarSet)``339121
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``339225
ocoerce`1`n`(%)->LatticeMeetOfJoins`dLatticeJoinOfMeets``339376
ocoerce`1`n`(%)->List(Integer)`dPartition``339435
ocoerce`1`n`(%)->List(String)`dXmlElement``339503
ocoerce`1`n`(%)->List(Vector(R))`dVectorSpaceBasis(R)``339701
ocoerce`1`n`(%)->Matrix(D)`dSparseEchelonMatrix(C,D)``339764
ocoerce`1`n`(%)->Matrix(R)`dRectangularMatrix(m,n,R)``339841
ocoerce`1`n`(%)->Matrix(R)`dSquareMatrix(ndim,R)``339955
ocoerce`1`n`(%)->OutputForm`cSPointCategory``340068
ocoerce`1`n`(%)->OutputForm`dFortranCode``340082
ocoerce`1`n`(%)->OutputForm`dFortranType``340144
ocoerce`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``340207
ocoerce`1`n`(%)->OutputForm`dGraphImage``340348
ocoerce`1`n`(%)->OutputForm`dJetDifferentialEquation(JB,D)``340510
ocoerce`1`n`(%)->OutputForm`dLinearMultivariateMatrixPencil(R)``340608
ocoerce`1`n`(%)->OutputForm`dSBoundary(PT)``340680
ocoerce`1`n`(%)->OutputForm`dSTransform(PT)``340756
ocoerce`1`n`(%)->OutputForm`dScene(PT)``340788
ocoerce`1`n`(%)->OutputForm`dSceneIFS(PT)``341032
ocoerce`1`n`(%)->OutputForm`dTwoDimensionalViewport``341096
ocoerce`1`n`(%)->P`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``341278
ocoerce`1`n`(%)->Polynomial(R)`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(%)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``341336
ocoerce`1`n`(%)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``341409
ocoerce`1`n`(%)->R`dModularField(R,Mod,reduction,merge,exactQuo)``341447
ocoerce`1`n`(%)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``341485
ocoerce`1`n`(%)->Record(index:IS,exponent:E)`dModuleMonomial(IS,E,ff)``341523
ocoerce`1`n`(%)->SExpression`dFortranScalarType``341561
ocoerce`1`n`(%)->Stream(Coef)`dDirichletRing(Coef)``0
ocoerce`1`n`(%)->String`dFortranScalarType``341642
ocoerce`1`n`(%)->String`dXmlAttribute``341720
ocoerce`1`n`(%)->Symbol`dFortranScalarType``341773
ocoerce`1`n`(%)->Symbol`dVariable(sym)``341841
ocoerce`1`n`(%)->Table(Symbol,FortranType)`dSymbolTable``341884
ocoerce`1`n`(%)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``341941
ocoerce`1`n`(%)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``342011
ocoerce`1`n`(%)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``342084
ocoerce`1`n`(%)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``342154
ocoerce`1`n`(%)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``342227
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)``342295
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``342382
ocoerce`1`n`(Complex(Integer))->%`dMachineComplex``342448
ocoerce`1`n`(Complex(MachineFloat))->%`dMachineComplex``342514
ocoerce`1`n`(Complex(MachineInteger))->%`dMachineComplex``342580
ocoerce`1`n`(D)->%`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(D)->%`dJetLazyFunction(JB,D)``342646
ocoerce`1`n`(E)->%`dXPolynomialRing(R,E)``342801
ocoerce`1`n`(Equation(Expression(Complex(Float))))->%`dFortranProgram(name,returnType,arguments,symbols)``342844
ocoerce`1`n`(Equation(Expression(Float)))->%`dFortranProgram(name,returnType,arguments,symbols)``342885
ocoerce`1`n`(Equation(Expression(Integer)))->%`dFortranProgram(name,returnType,arguments,symbols)``342926
ocoerce`1`n`(Equation(Expression(MachineComplex)))->%`dFortranProgram(name,returnType,arguments,symbols)``342967
ocoerce`1`n`(Equation(Expression(MachineFloat)))->%`dFortranProgram(name,returnType,arguments,symbols)``343008
ocoerce`1`n`(Equation(Expression(MachineInteger)))->%`dFortranProgram(name,returnType,arguments,symbols)``343049
ocoerce`1`n`(Expression(Complex(Float)))->%`dFortranProgram(name,returnType,arguments,symbols)``343090
ocoerce`1`n`(Expression(Float))->%`dFortranProgram(name,returnType,arguments,symbols)``343130
ocoerce`1`n`(Expression(Integer))->%`dFortranProgram(name,returnType,arguments,symbols)``343170
ocoerce`1`n`(Expression(Integer))->%`dJetBundleExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->%`dJetBundleXExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->Expression(%)`dMachineInteger``343210
ocoerce`1`n`(Expression(MachineComplex))->%`dFortranProgram(name,returnType,arguments,symbols)``343283
ocoerce`1`n`(Expression(MachineFloat))->%`dFortranProgram(name,returnType,arguments,symbols)``343323
ocoerce`1`n`(Expression(MachineInteger))->%`dFortranProgram(name,returnType,arguments,symbols)``343363
ocoerce`1`n`(F)->%`dFreeDivisionAlgebra(VAR,F)``343403
ocoerce`1`n`(FPol)->%`dResidueRing(F,Expon,VarSet,FPol,LFPol)``343539
ocoerce`1`n`(FinitePoset(S))->%`dDirectedGraph(S)``343626
ocoerce`1`n`(FinitePoset(S))->%`dUndirectedGraph(S)``343668
ocoerce`1`n`(FinitePoset(S))->%`dWeightedGraph(S,W)``343710
ocoerce`1`n`(FortranCode)->%`cFortranFunctionCategory``343752
ocoerce`1`n`(FortranCode)->%`cFortranMatrixCategory``343869
ocoerce`1`n`(FortranCode)->%`cFortranMatrixFunctionCategory``343986
ocoerce`1`n`(FortranCode)->%`cFortranVectorCategory``344103
ocoerce`1`n`(FortranCode)->%`cFortranVectorFunctionCategory``344220
ocoerce`1`n`(FortranCode)->%`dFortranProgram(name,returnType,arguments,symbols)``344337
ocoerce`1`n`(FortranScalarType)->%`dFortranType``344378
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)``344440
ocoerce`1`n`(GraphImage)->TwoDimensionalViewport`pViewportPackage``344574
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)``344716
ocoerce`1`n`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Lambda(UT))->SKICombinators(UT)`pcompUtil(UT)``344798
ocoerce`1`n`(LatticeMeetOfJoins)->%`dLatticeJoinOfMeets``345514
ocoerce`1`n`(LiePolynomial(VarSet,R))->%`dXPBWPolynomial(VarSet,R)``345573
ocoerce`1`n`(List(%))->SparseEchelonMatrix(JB,D)`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(List(FortranCode))->%`cFortranFunctionCategory``345615
ocoerce`1`n`(List(FortranCode))->%`cFortranMatrixCategory``345737
ocoerce`1`n`(List(FortranCode))->%`cFortranMatrixFunctionCategory``345859
ocoerce`1`n`(List(FortranCode))->%`cFortranVectorCategory``345981
ocoerce`1`n`(List(FortranCode))->%`cFortranVectorFunctionCategory``346103
ocoerce`1`n`(List(FortranCode))->%`dFortranProgram(name,returnType,arguments,symbols)``346225
ocoerce`1`n`(List(Integer))->%`dExtAlgBasis``346267
ocoerce`1`n`(List(List(Point(DoubleFloat))))->%`dGraphImage``346538
ocoerce`1`n`(List(S))->%`dDirectedGraph(S)``347006
ocoerce`1`n`(MachineInteger)->%`dMachineFloat``347041
ocoerce`1`n`(Matrix(MachineFloat))->%`cFortranMatrixCategory``347113
ocoerce`1`n`(OutputForm)->%`dTexFormat``347190
ocoerce`1`n`(OutputForm)->String`dHTMLFormat``347276
ocoerce`1`n`(OutputForm)->String`dMathMLFormat``347363
ocoerce`1`n`(OutputForm)->String`dTexmacsFormat``347452
ocoerce`1`n`(P)->%`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``347542
ocoerce`1`n`(PermutationGroup(S))->%`dDirectedGraph(S)``347641
ocoerce`1`n`(PermutationGroup(S))->%`dMultifunctionGraph(S)``347688
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)``347780
ocoerce`1`n`(PrimitiveArray(S))->%`dTuple(S)``347909
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)``347970
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranFunctionCategory``348008
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranMatrixCategory``348200
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranMatrixFunctionCategory``348392
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranVectorCategory``348584
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranVectorFunctionCategory``348776
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`dFortranProgram(name,returnType,arguments,symbols)``348968
ocoerce`1`n`(S)->%`cCoercibleFrom(S)``349008
ocoerce`1`n`(S)->%`dMakeCachableSet(S)``349068
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)``349137
ocoerce`1`n`(SKICombinators(UT))->Lambda(UT)`pcompUtil(UT)``349582
ocoerce`1`n`(SMP)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``349902
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseEchelonMatrix(JB,D))->List(%)`dJetBundleLinearFunction(JB,D)``349984
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)``350032
ocoerce`1`n`(String)->%`dFortranScalarType``350077
ocoerce`1`n`(Symbol)->%`dFortranScalarType``350366
ocoerce`1`n`(Symbol)->%`dJetBundle(IVar,DVar)``350631
ocoerce`1`n`(Symbol)->%`dJetBundleSymAna(JB1,xi,eta)``350787
ocoerce`1`n`(Symbol)->%`dSwitch``350861
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)``350901
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->%`dUnivariateTaylorSeries(Coef,var,cen)``351039
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->%`dExponentialExpansion(R,FE,var,cen)``351177
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)``351286
ocoerce`1`n`(VarSet)->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``351351
ocoerce`1`n`(Variable('x))->%`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(Variable(var))->%`dSparseUnivariateLaurentSeries(Coef,var,cen)``351391
ocoerce`1`n`(Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``351480
ocoerce`1`n`(Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``351569
ocoerce`1`n`(Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)``351671
ocoerce`1`n`(Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)``351760
ocoerce`1`n`(Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)``351849
ocoerce`1`n`(Variable(x))->%`dUnivariateSkewPolynomial(x,R,sigma,delta)``351951
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``352014
ocoerce`1`n`(Vector(MachineFloat))->%`cFortranVectorCategory``352188
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``352265
ocoerce`1`n`(XDistributedPolynomial(VAR,F))->%`dFreeDivisionAlgebra(VAR,F)``352406
ocoerce`1`x`(%)->Fraction(Integer)`dBinaryExpansion``352547
ocoerce`1`x`(%)->Fraction(Integer)`dDecimalExpansion``352621
ocoerce`1`x`(%)->Fraction(Integer)`dHexadecimalExpansion``352696
ocoerce`1`x`(%)->Fraction(Integer)`dRadixExpansion(bb)``352775
ocoerce`1`x`(%)->Fraction(R)`dPartialFraction(R)``352849
ocoerce`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``352951
ocoerce`1`x`(%)->List(S)`dDataList(S)``353022
ocoerce`1`x`(%)->OutputForm`cThreeSpaceCategory(R)``353087
ocoerce`1`x`(%)->OutputForm`dVoid``353172
ocoerce`1`x`(%)->R`dOrdinaryDifferentialRing(Kernels,R,var)``353231
ocoerce`1`x`(%)->RadixExpansion(10)`dDecimalExpansion``353315
ocoerce`1`x`(%)->RadixExpansion(16)`dHexadecimalExpansion``353403
ocoerce`1`x`(%)->RadixExpansion(2)`dBinaryExpansion``353495
ocoerce`1`x`(%)->S`cCoercibleTo(S)``353581
ocoerce`1`x`(%)->String`cFileNameCategory``353647
ocoerce`1`x`(%)->Tree(S)`dPendantTree(S)``353759
ocoerce`1`x`(%)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``353797
ocoerce`1`x`(%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``353865
ocoerce`1`x`(A)->%`dAssociatedJordanAlgebra(R,A)``353933
ocoerce`1`x`(A)->%`dAssociatedLieAlgebra(R,A)``354097
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``354255
ocoerce`1`x`(Character)->%`cStringAggregate``354338
ocoerce`1`x`(Col)->%`cMatrixCategory(R,Row,Col)``354429
ocoerce`1`x`(Color)->%`dPalette``354506
ocoerce`1`x`(DirectProduct(dim,R))->%`dCartesianTensor(minix,dim,R)``354610
ocoerce`1`x`(Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``354669
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``354754
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``354911
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``355362
ocoerce`1`x`(FourierComponent(E))->%`dFourierSeries(R,E)``355816
ocoerce`1`x`(Fraction(Factored(R)))->%`dPartialFraction(R)``355883
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``356175
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->%`cFunctionSpace(R)`has(R,IntegralDomain)`356325
ocoerce`1`x`(Fraction(R))->%`cFunctionSpace(R)`has(R,IntegralDomain)`356387
ocoerce`1`x`(Integer)->%`cNonAssociativeRing``356449
ocoerce`1`x`(Integer)->%`dOrdSetInts``356529
ocoerce`1`x`(List(%))->%`dCartesianTensor(minix,dim,R)``356599
ocoerce`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``356689
ocoerce`1`x`(List(List(S)))->%`dPermutation(S)``356782
ocoerce`1`x`(List(Permutation(S)))->%`dPermutationGroup(S)``357106
ocoerce`1`x`(List(R))->%`dCartesianTensor(minix,dim,R)``357208
ocoerce`1`x`(List(Record(k:M,c:R)))->%`cMonoidRingCategory(R,M)``357298
ocoerce`1`x`(List(S))->%`dDataList(S)``357392
ocoerce`1`x`(List(S))->%`dDatabase(S)``357449
ocoerce`1`x`(List(S))->%`dPermutation(S)``357504
ocoerce`1`x`(List(S))->%`dStream(S)``357732
ocoerce`1`x`(PiDomain)->Expression(R)`pPiCoercions(R)``357794
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``357863
ocoerce`1`x`(Polynomial(Coef))->%`dTaylorSeries(Coef)``357989
ocoerce`1`x`(Polynomial(Fraction(R)))->%`cFunctionSpace(R)`has(R,IntegralDomain)`358090
ocoerce`1`x`(R)->%`cAlgebra(R)``358152
ocoerce`1`x`(R)->%`cLeftAlgebra(R)``358235
ocoerce`1`x`(R)->%`cXAlgebra(R)``358325
ocoerce`1`x`(R)->%`dFourierSeries(R,E)``358368
ocoerce`1`x`(R)->%`dOrdinaryDifferentialRing(Kernels,R,var)``358434
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``358519
ocoerce`1`x`(S)->%`cDifferentialVariableCategory(S)``358605
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``358701
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``358804
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``358885
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``359112
ocoerce`1`x`(Segment(S))->%`dUniversalSegment(S)``359447
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``359522
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(%)))->%`dAlgebraicNumber``359656
ocoerce`1`x`(SparseMultivariatePolynomial(R,Kernel(%)))->%`cFunctionSpace(R)`has(R,Ring)`359728
ocoerce`1`x`(SquareMatrix(dim,R))->%`dCartesianTensor(minix,dim,R)``359790
ocoerce`1`x`(String)->%`cFileNameCategory``359849
ocoerce`1`x`(String)->%`dIndexCard``359959
ocoerce`1`x`(String)->%`dSymbol``360115
ocoerce`1`x`(Symbol)->%`dOpenMathErrorKind``360181
ocoerce`1`x`(Symbol)->%`dTaylorSeries(Coef)``360413
ocoerce`1`x`(ULS)->%`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``360476
ocoerce`1`x`(UTS)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``360564
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``360651
ocoerce`1`x`(VarSet)->%`cFreeLieAlgebra(VarSet,R)``360728
ocoerce`1`x`(Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``360790
ocoerce`1`x`(Variable(x))->%`dUnivariatePolynomial(x,R)``360879
ocoerce`1`x`(Vector(R))->%`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``360962
ocoerce`1`x`(vl)->%`cXFreeAlgebra(vl,R)``361169
ocolSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolSlice`1`x`(%)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``361211
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``361356
ocolinearity`2`n`(%,%)->DoubleFloat`cSPointCategory``362163
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)``362385
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)``362509
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)``362643
ocollect`1`n`(%)->%`dJetLazyFunction(JB,D)``362780
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(%,VarSet)->%`cPolynomialSetCategory(R,E,VarSet,P)``362873
ocolorDef`3`x`(%,Color,Color)->Void`dThreeDimensionalViewport``362995
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->%`dDrawOption``363310
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->%`dDrawOption``363493
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->%`dDrawOption``363707
ocolor`1`n`(Point(R))->R`pPointPackage(R)``363943
ocolor`1`x`(Integer)->%`dColor``364256
ocolumnMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``364326
ocolumnSpace`1`n`(Matrix(R))->%`dVectorSpaceBasis(R)``364443
ocolumnSpace`1`n`(S)->List(Col)`xMatrixCategory&(S,R,Row,Col)``0
ocolumnSpace`1`x`(%)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`364668
ocolumnSpace`1`x`(%)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`364785
ocolumnSpan`1`n`(%)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``364903
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(%,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``365076
ocolumn`2`x`(%,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``365205
ocolumns`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``365330
ocolumns`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``365432
ocommaSeparate`1`n`(List(%))->%`dOutputForm``365534
ocomment`1`n`(List(String))->%`dFortranCode``365629
ocomment`1`n`(String)->%`dFortranCode``365736
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``365838
ocommonDenominator`1`n`(P)->R`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``365962
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``366069
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``366193
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
ocommon`2`n`(Symbol,List(Symbol))->%`dFortranCode``366296
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``366382
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``366466
ocommutator`2`n`(%,%)->%`dJetVectorField(JB,D)``366550
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`x`(%,%)->%`cGroup``366631
ocommutator`2`x`(%,%)->%`cNonAssociativeRng``366705
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``366762
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``367007
ocompactFraction`1`x`(%)->%`dPartialFraction(R)``367057
ocompanionBlocks`2`n`(Matrix(K),List(Vector(K)))->List(Record(C:Matrix(K),lg:List(Vector(K))))`pPseudoLinearNormalForm(K)``367258
ocomparison`2`x`(%,(%,%)->Boolean)->%`dBasicOperator``367443
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Integer`pMultivariateSquareFree(E,OV,R,P)``367710
ocompile`2`n`(Symbol,List(%))->Symbol`dInputForm``367749
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``368086
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``368279
ocomplementSpace`1`n`(%)->%`dVectorSpaceBasis(R)``368499
ocomplementSpace`1`n`(List(Vector(R)))->%`dVectorSpaceBasis(R)``368663
ocomplementSpace`2`n`(%,NonNegativeInteger)->%`dVectorSpaceBasis(R)``368822
ocomplementSpace`2`n`(List(Vector(R)),NonNegativeInteger)->%`dVectorSpaceBasis(R)``369047
ocomplement`1`n`(%)->%`dSubsetLattice(S,top)``369258
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`x`(%)->%`cFiniteSetAggregate(S)`has(S,Finite)`369283
ocomplement`2`n`(%,List(S))->%`dSubsetLattice(S,top)``369414
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(%))->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``369439
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)``369577
ocompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`369869
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``370080
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``370473
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``370746
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``370956
ocompleteReflexivity`1`n`(%)->%`cPoset(S)``371125
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)``371307
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``371504
ocompleteTransitivity`1`n`(%)->%`cPoset(S)``371719
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)``371917
ocomplete`1`x`(%)->%`cLazyStreamAggregate(S)``372095
ocomplete`1`x`(%)->%`cPAdicIntegerCategory(p)``372242
ocomplete`1`x`(%)->%`cPowerSeriesCategory(Coef,Expon,Var)``372306
ocomplete`1`x`(%)->%`dContinuedFraction(R)``372455
ocomplete`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``372708
ocompletelyOrderedSet`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``372947
ocomplex?`1`n`(%)->Boolean`dFortranScalarType``372989
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``373081
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``373316
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``373661
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``373808
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``373955
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``374141
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``374327
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``374423
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``374519
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``374583
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``374647
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`374772
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``374897
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``374994
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``375121
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``375248
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``375364
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``375480
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``375620
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`375760
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`375887
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`376014
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`376141
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`376268
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`376393
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`376520
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`376682
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`376844
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`377006
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`377138
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`377300
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`377462
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`377539
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`377616
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`377693
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`377770
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`377847
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`377924
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``378001
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`378078
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`378190
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`378302
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`378414
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`378526
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`378607
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`378719
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``378831
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``378943
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``379127
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``379439
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``379673
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``379889
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``380118
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``380336
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``380535
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``380670
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)``380877
ocomplex`2`x`(R,R)->%`cComplexCategory(R)``381027
ocomponent`2`n`(%,Point(DoubleFloat))->Void`dGraphImage``381086
ocomponent`5`n`(%,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``381423
ocomponent`5`n`(%,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``381921
ocomponents`1`x`(%)->List(%)`cThreeSpaceCategory(R)``382272
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``382513
ocomposite`1`x`(List(%))->%`cThreeSpaceCategory(R)``382610
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)`382818
ocomposite`2`x`(Fraction(%),%)->Union(Fraction(%),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`382927
ocomposites`1`x`(%)->List(%)`cThreeSpaceCategory(R)``383053
ocompound`2`n`(%,%)->%`dSTransform(PT)``383402
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``383460
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``383688
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``383873
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``384042
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)`384452
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)`384758
oconcat!`2`x`(%,%)->%`cExtensibleLinearAggregate(S)``384896
oconcat!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`385003
oconcat!`2`x`(%,S)->%`cExtensibleLinearAggregate(S)``385093
oconcat!`2`x`(%,S)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`385183
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)``385323
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``385640
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)``385779
oconcat`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)``386038
oconcat`2`x`(%,S)->%`cLinearAggregate(S)``386207
oconcat`2`x`(S,%)->%`cLinearAggregate(S)``386369
oconcat`2`x`(S,%)->%`cUnaryRecursiveAggregate(S)``386531
ocond`2`n`(Switch,%)->%`dFortranCode``386721
ocond`3`n`(Switch,%,%)->%`dFortranCode``386828
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)`386954
ocondition`1`n`(%)->C`dSplittingNode(V,C)``387223
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`387294
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``387470
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``387647
oconditionsForIdempotents`1`n`(Vector(%))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`387824
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)``388041
oconditions`1`n`(%)->List(C)`dSplittingTree(V,C)``388259
ocone`2`n`(%,NonNegativeInteger)->%`dFiniteSimplicialComplex(VS)``388341
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``388566
oconj`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``388904
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`389068
oconjugate`1`n`(%)->%`dPartition``389123
oconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``389206
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)``389291
oconjugate`1`x`(%)->%`cOctonionCategory(R)``389366
oconjugate`1`x`(%)->%`cQuaternionCategory(R)``389524
oconjugate`1`x`(%)->%`cSpecialFunctionCategory``389603
oconjugate`1`x`(List(Integer))->List(Integer)`pPartitionsAndPermutations``389665
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(%,%)->%`cGroup``389738
oconjugates`1`x`(Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``389841
oconnect`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``389949
oconsRow!`2`n`(%,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``390233
ocons`2`n`(R,%)->%`cSequenceCategory(R)``390324
ocons`2`x`(S,%)->%`dList(S)``390392
ocons`2`x`(S,%)->%`dStream(S)``390563
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``390717
oconst?`1`n`(%)->Boolean`cJetBundleFunctionCategory(JB)``390758
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)``390832
oconst`1`n`(%)->R`dDistributedJetBundlePolynomial(R,JB,LJV,E)``391072
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``391205
oconstant?`1`n`(%)->Boolean`dPattern(R)``391309
oconstant?`1`n`(%)->Boolean`dXPolynomialRing(R,E)``391386
oconstant?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``391484
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``391556
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``392012
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``392057
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``392103
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``392206
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``392352
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``392467
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``392571
oconstant_subspace`2`n`(List(Vector(F)),List((F)->F))->Record(transform:Matrix(F),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``392797
oconstant`1`n`(%)->R`dXPolynomialRing(R,E)``393186
oconstant`1`x`(%)->R`cXFreeAlgebra(vl,R)``393250
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``393315
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``393408
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``393572
oconstructOrdered`1`n`(List(Record(k:S,c:A)))->%`cIndexedProductCategory(A,S)`has(S,Comparable)`393700
oconstruct`1`n`(List(List(List(R))))->%`dThreeDimensionalMatrix(R)``394122
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)``394221
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->%`dPatternMatchResult(R,S)``394378
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(%)`dSplittingNode(V,C)``394537
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)``394639
oconstruct`1`n`(SplittingNode(V,C))->%`dSplittingTree(V,C)``394724
oconstruct`1`x`(%)->Stream(S)`dInfiniteTuple(S)``395024
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->%`dFullPartialFractionExpansion(F,UP)``395091
oconstruct`1`x`(List(S))->%`cCollection(S)``395146
oconstruct`2`n`(%,LyndonWord(VarSet))->%`dLiePolynomial(VarSet,R)``395407
oconstruct`2`n`(A,B)->%`dProduct(A,B)``395480
oconstruct`2`n`(IS,E)->%`dModuleMonomial(IS,E,ff)``395575
oconstruct`2`n`(LyndonWord(VarSet),%)->%`dLiePolynomial(VarSet,R)``395621
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->%`dLiePolynomial(VarSet,R)``395694
oconstruct`2`n`(OutputForm,List(OutputForm))->OutputForm`pOutputFormTools``395767
oconstruct`2`n`(S1,S2)->%`dSuchThat(S1,S2)``395861
oconstruct`2`n`(V,C)->%`dSplittingNode(V,C)``395925
oconstruct`2`n`(V,List(C))->List(%)`dSplittingNode(V,C)``396011
oconstruct`2`x`(%,%)->%`cLieAlgebra(R)``396103
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->%`dFortranType``396185
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->%`dFortranType``396257
oconstruct`3`n`(V,C,Boolean)->%`dSplittingNode(V,C)``396329
oconstruct`3`n`(V,C,List(%))->%`dSplittingTree(V,C)``396453
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->%`dSplittingTree(V,C)``396624
oconstruct`4`n`(V,C,V,List(C))->%`dSplittingTree(V,C)``396820
oconstruct`4`x`(Sequence(R),Sequence(R),Sequence(R),Sequence(R))->%`dDistribution(R)``397033
ocontains?`2`x`(%,R)->Boolean`cIntervalCategory(R)``397330
ocontainsPoint?`2`n`(%,PT)->Boolean`dSBoundary(PT)``397463
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``397618
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)`397704
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)`397794
ocontinue`1`n`(SingleInteger)->%`dFortranCode``398092
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)``398188
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``398300
ocontinuedFraction`1`x`(Fraction(R))->%`dContinuedFraction(R)``398412
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->%`dContinuedFraction(R)``398560
ocontraAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``398804
ocontraAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``398920
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``399036
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``399310
ocontract`2`n`(JetVectorField(JB,D),%)->D`dJetDifferential(JB,D)``399608
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)``399712
ocontract`3`x`(%,Integer,Integer)->%`dCartesianTensor(minix,dim,R)``399814
ocontract`4`x`(%,Integer,%,Integer)->%`dCartesianTensor(minix,dim,R)``400175
ocontrolPanel`2`n`(%,String)->Void`dTwoDimensionalViewport``400646
ocontrolPanel`2`x`(%,String)->Void`dThreeDimensionalViewport``400889
oconvergents`1`x`(%)->Stream(Fraction(R))`dContinuedFraction(R)``401136
oconvert`1`n`(%)->JetBundlePolynomial(R,JB)`dDistributedJetBundlePolynomial(R,JB,LJV,E)``401320
oconvert`1`n`(%)->Symbol`dSingletonAsOrderedSet``0
oconvert`1`n`(%)->Vector(R)`cFramedModule(R)``401454
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)``401564
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(JetBundlePolynomial(R,JB))->%`dDistributedJetBundlePolynomial(R,JB,LJV,E)``401645
oconvert`1`n`(LinearOrdinaryDifferentialOperator1(R))->LinearOrdinaryDifferentialOperator3(Coeff,Ab,R)`pLODOConvertions(Coeff,Ab,R)``401779
oconvert`1`n`(LinearOrdinaryDifferentialOperator3(Coeff,Ab,R))->LinearOrdinaryDifferentialOperator1(R)`pLODOConvertions(Coeff,Ab,R)``402062
oconvert`1`n`(List(%))->%`dPattern(R)``402345
oconvert`1`n`(List(P))->%`dGeneralPolynomialSet(R,E,VarSet,P)``402432
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)``402533
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``402591
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)``402651
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)``402802
oconvert`1`x`(DoubleFloat)->%`dFloat``402869
oconvert`1`x`(Factored(%))->%`cFunctionSpace(R)`has(R,IntegralDomain)`402960
oconvert`1`x`(Flt)->%`cSExpressionCategory(Str,Sym,Int,Flt)``403136
oconvert`1`x`(Int)->%`cSExpressionCategory(Str,Sym,Int,Flt)``403193
oconvert`1`x`(List(%))->%`cSExpressionCategory(Str,Sym,Int,Flt)``403250
oconvert`1`x`(List(R))->%`cPointCategory(R)``403349
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``403475
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``403519
oconvert`1`x`(Polynomial(Fraction(Integer)))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`403563
oconvert`1`x`(Polynomial(Integer))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`403627
oconvert`1`x`(Polynomial(R))->%`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`403691
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``403755
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)``403799
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``403857
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``403901
oconvert`1`x`(SquareMatrix(n,R))->%`dLieSquareMatrix(n,R)``403961
oconvert`1`x`(Str)->%`cSExpressionCategory(Str,Sym,Int,Flt)``404013
oconvert`1`x`(Sym)->%`cSExpressionCategory(Str,Sym,Int,Flt)``404070
oconvert`1`x`(Symbol)->%`dRomanNumeral``404127
oconvert`1`x`(UP)->%`cMonogenicAlgebra(R,UP)``404197
oconvert`2`n`(List(S),List(FreeGroup(S)))->GroupPresentation`pGroupPresentationFunctions1(S)``404351
oconvert`2`n`(OutputForm,Integer)->%`cOutputFormatterCategory``404476
oconvert`2`n`(OutputForm,Integer)->%`dTexFormat``404605
oconvert`3`n`(OutputForm,Integer,OutputForm)->%`dTexFormat``404871
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->%`dDrawOption``405168
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``405300
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``405334
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``405539
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``405755
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``405976
ocoordinatesIfCan`2`n`(Vector(R),%)->Union(Vector(R),"failed")`dVectorSpaceBasis(R)``406193
ocoordinates`1`n`(%)->Vector(R)`cFramedModule(R)``406353
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)``406467
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``406693
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)``406844
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)``406993
ocoordinates`2`x`(%,Vector(%))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``407107
ocoordinates`2`x`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``407266
ocoordinates`2`x`(Vector(%),Vector(%))->Matrix(R)`cFiniteRankAlgebra(R,UP)``407425
ocoordinates`2`x`(Vector(%),Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``407667
ocopies`2`x`(Integer,String)->String`pDisplayPackage``407894
ocoproduct`1`x`(%)->MxM`cCoalgebra(R,MxM)``408016
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``408089
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))`408235
ocopy_first`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``408359
ocopy_mat_part`2`n`(MMT,Integer)->MMT`cModularFactorizationOperations(PA,MMT,MD,PMD)``408487
ocopy_poly`3`n`(PA,Integer,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``408608
ocopy_slice`4`n`(U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``408814
ocopy`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``408991
ocopy`1`n`(%)->%`dJetDifferential(JB,D)``409051
ocopy`1`n`(%)->%`dJetDifferentialEquation(JB,D)``409120
ocopy`1`n`(%)->%`dJetVectorField(JB,D)``409185
ocopy`1`n`(%)->%`dLinearMultivariateMatrixPencil(R)``409252
ocopy`1`n`(%)->%`dPattern(R)``409320
ocopy`1`n`(%)->%`dSparseEchelonMatrix(C,D)``409380
ocopy`1`n`(%)->%`dSplittingNode(V,C)``409441
ocopy`1`n`(%)->%`dSubSpaceComponentProperty``409491
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``409527
ocopy`1`x`(%)->%`cIntegerNumberSystem``409661
ocopy`1`x`(%)->%`cThreeSpaceCategory(R)``409709
ocopy`1`x`(%)->%`dBasicOperator``409802
ocopy`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``409854
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)``409939
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``410393
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``410491
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``410578
ocos`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``410828
ocos`1`n`(E)->%`dFourierComponent(E)``410895
ocos`1`n`(F)->F`pElementaryFunction(R,F)``410961
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)``411022
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``411089
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``411156
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``411224
ocos`1`x`(%)->%`cTrigonometricFunctionCategory``411294
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``411347
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``411449
ocosh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``411538
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``411607
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)``411680
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``411763
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``411846
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``411926
ocosh`1`x`(%)->%`cHyperbolicFunctionCategory``412008
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``412073
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``412171
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``412275
ocot`1`n`(F)->F`pElementaryFunction(R,F)``412362
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)``412426
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``412496
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``412566
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``412637
ocot`1`x`(%)->%`cTrigonometricFunctionCategory``412710
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``412766
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``412868
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``412977
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``413066
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)``413142
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``413228
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``413314
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``413397
ocoth`1`x`(%)->%`cHyperbolicFunctionCategory``413482
ocounit`1`x`(%)->R`cCoalgebra(R,MxM)``413550
ocountRealRootsMultiple`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`413618
ocountRealRoots`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)``413725
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)`413795
ocount`2`x`(S,%)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`413996
ocountable?`1`x`(%)->Boolean`dCardinalNumber``414167
ocoverMatrix`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``414305
ocoverMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ocreate3Space`0`x`()->%`cThreeSpaceCategory(R)``414700
ocreate3Space`1`x`(SubSpace(3,R))->%`cThreeSpaceCategory(R)``414842
ocreateArrows2Din2D`4`n`((PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``414984
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``415218
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``415418
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``415579
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``415922
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``416130
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``416250
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`416543
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``416814
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``416948
ocreatePlot1Din2D`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``417171
ocreatePlot1Din2D`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``417408
ocreatePlot1Din2Dparametric`3`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``417646
ocreatePlot1Din3Dparametric`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``418245
ocreatePlot1Din3Dparametric`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``418661
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``419255
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``419681
ocreatePlot2Din3Dparametric`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``419885
ocreatePlot2Din3Dparametric`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``420344
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->%`cFiniteFieldCategory``420923
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``421034
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``421184
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``421324
ocreateSceneArrow`5`n`(String,String,PT,Symbol,DoubleFloat)->%`dScene(PT)``421436
ocreateSceneArrow`6`n`(%,%,PT,Symbol,DoubleFloat,DoubleFloat)->%`dScene(PT)``422395
ocreateSceneArrows`3`n`(List(List(PT)),Symbol,DoubleFloat)->%`dScene(PT)``423720
ocreateSceneBox`1`n`(DoubleFloat)->%`dScene(PT)``424648
ocreateSceneClip`1`n`(Record(mins:PT,maxs:PT))->%`dScene(PT)``424760
ocreateSceneClip`1`n`(SBoundary(PT))->%`dScene(PT)``424885
ocreateSceneDef`2`n`(String,%)->%`dScene(PT)``425017
ocreateSceneGraph`4`n`(DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->%`dScene(PT)``425126
ocreateSceneGrid`1`n`(Record(mins:PT,maxs:PT))->%`dScene(PT)``425218
ocreateSceneGrid`1`n`(SBoundary(PT))->%`dScene(PT)``425343
ocreateSceneGrid`2`n`(DoubleFloat,Record(mins:PT,maxs:PT))->%`dScene(PT)``425496
ocreateSceneGrid`2`n`(DoubleFloat,SBoundary(PT))->%`dScene(PT)``425621
ocreateSceneGroup`0`n`()->%`dScene(PT)``425802
ocreateSceneIFS`1`n`(SceneIFS(PT))->%`dScene(PT)``425925
ocreateSceneIFS`2`n`(List(List(NonNegativeInteger)),List(PT))->%`dScene(PT)``426085
ocreateSceneLine`1`n`(List(PT))->%`dScene(PT)``426252
ocreateSceneLine`3`n`(%,%,DoubleFloat)->%`dScene(PT)``426516
ocreateSceneLine`4`n`(%,%,DoubleFloat,Boolean)->%`dScene(PT)``427140
ocreateSceneLines`1`n`(List(List(PT)))->%`dScene(PT)``427888
ocreateSceneMaterial`1`n`(Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->%`dScene(PT)``428145
ocreateSceneMaterial`3`n`(DoubleFloat,String,String)->%`dScene(PT)``428520
ocreateSceneNamedPoints`1`n`(SceneNamedPoints(PT))->%`dScene(PT)``428849
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,Record(mins:PT,maxs:PT))->%`dScene(PT)``429017
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,SBoundary(PT))->%`dScene(PT)``429142
ocreateSceneRoot`0`n`()->%`dScene(PT)``429675
ocreateSceneRoot`1`n`(Record(mins:PT,maxs:PT))->%`dScene(PT)``429801
ocreateSceneRoot`1`n`(SBoundary(PT))->%`dScene(PT)``429926
ocreateSceneRoot`4`n`(Integer,Integer,Integer,Integer)->%`dScene(PT)``430054
ocreateSceneRuler`3`n`(Symbol,PT,Record(mins:PT,maxs:PT))->%`dScene(PT)``430208
ocreateSceneRuler`3`n`(Symbol,PT,SBoundary(PT))->%`dScene(PT)``430333
ocreateSceneShape`1`n`(Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->%`dScene(PT)``430584
ocreateSceneShape`1`n`(SBoundary(PT))->%`dScene(PT)``430720
ocreateSceneText`1`n`(Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->%`dScene(PT)``430872
ocreateSceneText`3`n`(List(String),NonNegativeInteger,PT)->%`dScene(PT)``431022
ocreateSceneText`3`n`(String,NonNegativeInteger,PT)->%`dScene(PT)``431134
ocreateSceneTransform`1`n`(STransform(PT))->%`dScene(PT)``431281
ocreateSceneUse`1`n`(String)->%`dScene(PT)``431513
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``431585
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``431744
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``431870
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``431996
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``432135
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``432274
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``432413
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``432552
ocreate`0`n`()->%`dSingletonAsOrderedSet``432976
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``433038
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``433074
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)``433108
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)``433145
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``433184
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)``433218
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``433256
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)``433290
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``433329
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(%,%)->%`cPointCategory(R)``433552
ocross`2`x`(%,%)->%`cVectorCategory(R)`has(R,Ring)`433705
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``433841
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``434050
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``434148
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``434242
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)``434305
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``434374
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``434443
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``434513
ocsc`1`x`(%)->%`cTrigonometricFunctionCategory``434585
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``434640
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``434742
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``434831
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)``434906
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``434991
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``435076
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``435158
ocsch`1`x`(%)->%`cHyperbolicFunctionCategory``435242
ocsolve_pol`2`n`((Matrix(F))->List(Vector(Q)),List(UP))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``435309
ocsolve_rf`2`n`((Matrix(F))->List(Vector(Q)),List(Fraction(UP)))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``435418
ocsolve_rmat`2`n`((Matrix(F))->List(Vector(Q)),Matrix(Fraction(UP)))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``435534
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``435652
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``435706
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``435743
ocubicalComplex`1`n`(List(VS))->%`dFiniteCubicalComplex(VS)``435795
ocubicalComplex`2`n`(List(VS),List(CubicalFacet))->%`dFiniteCubicalComplex(VS)``435834
ocubicalComplex`2`n`(List(VS),List(List(List(Integer))))->%`dFiniteCubicalComplex(VS)``435882
ocubicalComplex`2`n`(List(VS),List(List(Segment(Integer))))->%`dFiniteCubicalComplex(VS)``435930
ocubicalFacet`2`n`(Integer,CubicalFacet)->%`dCubicalFacet``435978
ocubicalFacet`2`n`(Integer,List(List(Integer)))->%`dCubicalFacet``436023
ocubicalFacet`2`n`(Integer,List(Segment(Integer)))->%`dCubicalFacet``436060
ocumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``436241
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``436359
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``436553
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``436646
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``436751
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``436857
ocurve?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``436952
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``437177
ocurveColor`1`x`(Float)->%`dDrawOption``437406
ocurveColor`1`x`(Palette)->%`dDrawOption``437549
ocurveLoops`3`n`(List(PT),DoubleFloat,Integer)->List(List(PT))`dSceneIFS(PT)``437719
ocurve`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``437806
ocurve`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``438045
ocurve`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``438247
ocurve`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``438617
ocurve`2`x`(ComponentFunction,ComponentFunction)->%`dParametricPlaneCurve(ComponentFunction)``438794
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->%`dParametricSpaceCurve(ComponentFunction)``438898
ocycleClosed`2`n`(List(S),String)->%`cFiniteGraph(S)``439024
ocycleClosed`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``439278
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(%)->%`cUnaryRecursiveAggregate(S)``439425
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(%)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``439560
ocycleOpen`2`n`(List(S),String)->%`cFiniteGraph(S)``439700
ocycleOpen`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocyclePartition`1`x`(%)->Partition`dPermutation(S)``440052
ocycleRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``440195
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`440429
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(%)->%`cUnaryRecursiveAggregate(S)``440810
ocycle`1`x`(List(S))->%`cPermutationCategory(S)``440902
ocycles`1`x`(List(List(S)))->%`cPermutationCategory(S)``441129
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)``441459
ocyclicGroup`1`n`(PositiveInteger)->%`dGroupPresentation``441515
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``441635
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``441824
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`441944
ocyclic`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``442575
ocyclotomic?`1`n`(SparseUnivariatePolynomial(Integer))->Union(Integer,"failed")`pCyclotomicUtilities``442671
ocyclotomic_array`1`n`(Integer)->PrimitiveArray(Integer)`pCyclotomicUtilities``442835
ocyclotomic_case?`1`x`(SparseUnivariatePolynomial(Polynomial(R)))->Union(Integer,"failed")`pRadicalSolvePackage(R)``443105
ocyclotomic_decomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicUtilities``443171
ocyclotomic_roots`1`n`(PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``443283
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicUtilities``443377
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``443449
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``443652
ocylindricalDecomposition`1`n`(List(Polynomial(TheField)))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``443752
ocylindricalDecomposition`2`n`(List(Polynomial(TheField)),List(Symbol))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``443898
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``444038
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``444275
odP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`dJetDifferential(JB,D)``444704
odSubst`3`n`(%,JB,%)->%`cJetBundleFunctionCategory(JB)``444777
odSubst`3`n`(S,JB,S)->S`xJetBundleFunctionCategory&(S,JB)``0
odU`1`n`(PositiveInteger)->%`dJetDifferential(JB,D)``444949
odX`1`n`(PositiveInteger)->%`dJetDifferential(JB,D)``445010
od`1`n`(D)->%`dJetDifferential(JB,D)``445071
od`1`n`(JB)->%`dJetDifferential(JB,D)``445129
odanilewski`1`n`(Matrix(F))->Record(matrix:Matrix(F),block_list:List(Integer))`pCharacteristicPolynomial2(F)``445188
odark`1`x`(Color)->%`dPalette``445325
odatalist`1`x`(List(S))->%`dDataList(S)``445424
oddFact`2`n`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``445483
oddfact`2`n`(PA,MD)->List(Record(poly:PA,degree:NonNegativeInteger,separate_factors:()->List(PA)))`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``445775
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``445949
odebug`1`n`(Boolean)->Boolean`dPlot``446042
odebug`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``446129
odebug`1`x`(Boolean)->%`dGuessOption``446237
odec`1`x`(%)->%`cIntegerNumberSystem``446377
odecimal`1`x`(Fraction(Integer))->%`dDecimalExpansion``446420
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``446496
odeclare!`3`n`(List(Symbol),FortranType,%)->FortranType`dSymbolTable``446623
odeclare!`3`n`(Symbol,FortranType,%)->FortranType`dSymbolTable``446740
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``446850
odeclare!`4`n`(List(Symbol),FortranType,Symbol,%)->FortranType`dTheSymbolTable``446950
odeclare!`4`n`(Symbol,FortranType,Symbol,%)->FortranType`dTheSymbolTable``447096
odeclare`1`n`(List(%))->Symbol`dInputForm``447241
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``447590
odecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`447829
odecompose`1`x`(%)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``447960
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``448044
odecompose`2`n`(UP,List(UP))->List(UP)`pPartialFractionUtilities(F,UP)``448404
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)`448612
odeductions`1`n`(List(%))->List(%)`dILogic``448752
odeductions`1`n`(List(%))->List(%)`dLatticeJoinOfMeets``449138
odeductions`1`n`(List(%))->List(%)`dLatticeMeetOfJoins``449524
odeepCopy`1`n`(%)->%`dSubSpace(n,R)``449910
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)``449950
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``450039
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``450186
odefaultEpilogue`1`n`(String)->OutputBox`cFormatterCategory``450425
odefaultPrologue`1`n`(String)->OutputBox`cFormatterCategory``450517
odefineProperty`3`n`(%,List(NonNegativeInteger),SubSpaceComponentProperty)->%`dSubSpace(n,R)``450615
odefiningEquations`1`n`(%)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``451090
odefiningInequation`1`n`(%)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``451233
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``451374
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``451468
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`451570
odefiningPolynomial`1`x`(%)->%`cExpressionSpace`has(%,Ring)`451713
odefiningPolynomial`1`x`(%)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``451807
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``451919
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``452084
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``452367
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``452536
odegree`1`n`(%)->Expon`cSolvableSkewPolynomialCategory(R,Expon)``452626
odegree`1`n`(%)->Integer`dLaurentPolynomial(R,UP)``452713
odegree`1`n`(%)->NonNegativeInteger`dAntiSymm(R,lVar)``452751
odegree`1`n`(%)->NonNegativeInteger`dDeRhamComplex(CoefRing,listIndVar)``452819
odegree`1`n`(%)->NonNegativeInteger`dExtAlgBasis``452907
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(MPT)->Integer`cModularAlgebraicGcdOperations(MP,MPT,MD)``453076
odegree`1`n`(PA)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``453126
odegree`1`n`(PrimitiveArray(K))->Integer`pVectorPolynomialOperationsF(K)``453197
odegree`1`n`(PrimitiveArray(PrimeField(p)))->Integer`pVectorPolynomialOperationsP(p)``453265
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``453333
odegree`1`x`(%)->E`cAbelianMonoidRing(R,E)``453401
odegree`1`x`(%)->E`cGradedModule(R,E)``453488
odegree`1`x`(%)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``453609
odegree`1`x`(%)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``453692
odegree`1`x`(%)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``453833
odegree`1`x`(%)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``453960
odegree`1`x`(%)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``454050
odegree`1`x`(%)->NonNegativeInteger`cXPolynomialsCat(vl,R)``454140
odegree`1`x`(%)->NonNegativeInteger`dPermutation(S)``454256
odegree`1`x`(%)->NonNegativeInteger`dPermutationGroup(S)``454344
odegree`1`x`(%)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``454447
odegree`1`x`(%)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``454636
odegree`2`n`(%,List(VarSet))->List(NonNegativeInteger)`cMaybeSkewPolynomialCategory(R,E,VarSet)``454760
odegree`2`n`(%,Symbol)->NonNegativeInteger`dFakePolynomial``0
odegree`2`n`(%,VarSet)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``454900
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)``455008
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)``455091
odegree`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``455199
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)``455381
odelay`1`x`(()->%)->%`dStream(S)``455831
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)``455984
odelete!`2`x`(%,UniversalSegment(Integer))->%`cExtensibleLinearAggregate(S)``456072
odeleteProperty!`2`x`(%,Symbol)->%`dBasicOperator``456181
odeleteRow!`2`n`(%,Integer)->Void`dSparseEchelonMatrix(C,D)``456345
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)``456436
odelete`2`x`(%,UniversalSegment(Integer))->%`cLinearAggregate(S)``456604
odeltaComplex`1`n`(FiniteCubicalComplex(VS))->%`dDeltaComplex(VS)``456793
odeltaComplex`1`n`(FiniteSimplicialComplex(VS))->%`dDeltaComplex(VS)``456888
odeltaComplex`2`n`(FiniteSimplicialComplex(VS),Boolean)->%`dDeltaComplex(VS)``0
odeltaComplex`3`n`(List(VS),NonNegativeInteger,List(List(List(Integer))))->%`dDeltaComplex(VS)``456988
odelta_deriv`1`n`(R)->R`pLinearOrdinaryDifferentialOperator3Aux(Coeff,A,R)``457040
odelta`0`n`()->Symbol`pMathematicalSymbols``457109
odelta`3`n`(%,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``457176
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``457331
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``457561
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``457765
odenom`1`n`(%)->R`dFractionalIdeal(R,F,UP,A)``458089
odenom`1`n`(%)->R`dLocalAlgebra(A,R)``458152
odenom`1`n`(%)->R`dLocalize(M,R)``458211
odenom`1`x`(%)->S`cQuotientFieldCategory(S)``458270
odenom`1`x`(%)->SparseMultivariatePolynomial(Integer,Kernel(%))`dAlgebraicNumber``458343
odenom`1`x`(%)->SparseMultivariatePolynomial(R,Kernel(%))`cFunctionSpace(R)`has(R,IntegralDomain)`458455
odenominator`1`n`(%)->%`cJetBundleFunctionCategory(JB)``458567
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)`458632
odenominator`1`x`(%)->%`cQuotientFieldCategory(S)``458714
odenominators`1`x`(%)->Stream(R)`dContinuedFraction(R)``458804
odepth`1`n`(%)->NonNegativeInteger`dOutputBox``459006
odepth`1`n`(%)->NonNegativeInteger`dPattern(R)``459088
odequeue!`1`x`(%)->S`cQueueAggregate(S)``459150
odequeue`1`x`(List(S))->%`dDequeue(S)``459343
oderef`1`n`(%)->S`dReference(S)``459529
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``459584
oderiv`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``459780
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)`459863
oderivativeOf?`2`n`(%,%)->List(NonNegativeInteger)`cJetBundleCategory``459951
oderivativeOf?`2`n`(S,S)->List(NonNegativeInteger)`xJetBundleCategory&(S)``0
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``460155
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``460281
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``460533
odestruct`1`n`(%)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``460873
odestruct`1`x`(%)->List(%)`cSExpressionCategory(Str,Sym,Int,Flt)``460992
odetSysNS`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``461077
odetSysNS`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``461235
odetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``461393
odetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``461576
odetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``461804
odet_via_common_denominator`1`n`(Matrix(Fraction(R)))->Fraction(R)`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`462048
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`462126
odeterminant`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`462261
odeterminant`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`462374
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``462451
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``462586
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)``462681
odiagonal?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``462875
odiagonal?`2`n`(%,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``463069
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)`463134
odiagonalMatrix`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)``463275
odiagonalMatrix`1`x`(List(R))->%`cMatrixCategory(R,Row,Col)``463826
odiagonalMatrix`1`x`(List(R))->%`cSquareMatrixCategory(ndim,R,Row,Col)``463931
odiagonalMatrix`1`x`(Vector(R))->%`dMatrix(R)``464036
odiagonalMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`464149
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``464375
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)``464483
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(%)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``464592
odiagonal`2`n`(%,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``464699
odiagonals`2`x`(%,String)->Void`dThreeDimensionalViewport``464780
odiagramHeight`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``465124
odiagramHeight`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramSvg2`3`n`(String,%,Boolean)->Void`dUndirectedGraph(S)``465286
odiagramSvg`3`n`(String,%,Boolean)->Void`cFiniteGraph(S)``465627
odiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramWidth`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``465906
odiagramWidth`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramsSvg`3`n`(String,List(%),Boolean)->Void`cFiniteGraph(S)``466066
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)``466330
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)``466413
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)``466530
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)))`466645
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)``466769
odiffU`1`n`(PositiveInteger)->%`dJetVectorField(JB,D)``466860
odiffX`1`n`(PositiveInteger)->%`dJetVectorField(JB,D)``466939
odiff_map`1`n`(Var)->(R)->R`pPartialDifferentialOperatorHelper(R,Var)``0
odiff`1`n`(JB)->%`dJetVectorField(JB,D)``467018
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``467095
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)``467166
odifference`2`x`(%,S)->%`cSetAggregate(S)``467531
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(%)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``467763
odifferentials`1`n`(%)->List(JB)`dJetDifferential(JB,D)``467897
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``467999
odifferentiate`1`x`(%)->%`cDifferentialVariableCategory(S)``468155
odifferentiate`1`x`(%)->%`dFullPartialFractionExpansion(F,UP)``468222
odifferentiate`2`n`(%,(F)->F)->F`dIntegrationResult(F)``468289
odifferentiate`2`n`(%,JB)->%`cJetBundleFunctionCategory(JB)``468392
odifferentiate`2`n`(%,NonNegativeInteger)->%`dOutputForm``468505
odifferentiate`2`n`(%,PositiveInteger)->Union(%,"0")`cJetBundleCategory``468689
odifferentiate`2`n`(%,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`468807
odifferentiate`2`n`(%,Variable('x))->%`dUnivariateFormalPowerSeries(Coef)``0
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariateLaurentSeries(Coef,var,cen)``468894
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``468997
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``469100
odifferentiate`2`n`(%,Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)``469204
odifferentiate`2`n`(%,Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)``469307
odifferentiate`2`n`(%,Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)``469410
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``469514
odifferentiate`2`x`(%,(R)->R)->%`cDifferentialExtension(R)``469549
odifferentiate`2`x`(%,(UP)->UP)->%`cFunctionFieldCategory(F,UP,UPUP)``469657
odifferentiate`2`x`(%,List(S))->%`cPartialDifferentialRing(S)``469767
odifferentiate`2`x`(%,NonNegativeInteger)->%`cDifferentialRing``469934
odifferentiate`2`x`(%,NonNegativeInteger)->%`cDifferentialVariableCategory(S)``470018
odifferentiate`2`x`(%,NonNegativeInteger)->%`dFullPartialFractionExpansion(F,UP)``470102
odifferentiate`2`x`(%,S)->%`cPartialDifferentialRing(S)``470186
odifferentiate`2`x`(%,Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``470292
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``470395
odifferentiate`3`x`(%,(R)->R,%)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`470430
odifferentiate`3`x`(%,(R)->R,NonNegativeInteger)->%`cDifferentialExtension(R)``470617
odifferentiate`3`x`(%,List(S),List(NonNegativeInteger))->%`cPartialDifferentialRing(S)``470759
odifferentiate`3`x`(%,S,NonNegativeInteger)->%`cPartialDifferentialRing(S)``470891
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)``471052
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``471195
odigamma`1`x`(%)->%`cSpecialFunctionCategory``471270
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``471393
odigamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``471515
odigamma`1`x`(Float)->Float`pFloatSpecialFunctions``471590
odigit?`1`x`(%)->Boolean`dCharacter``471665
odigit`0`x`()->%`dCharacterClass``471762
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``471878
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``471955
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``472032
odigits`1`x`(%)->Stream(Integer)`cPAdicIntegerCategory(p)``472129
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`472207
odihedralGroup`1`n`(PositiveInteger)->%`dGroupPresentation``472304
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``472418
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``472612
odihedral`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``472726
odilate`2`n`(R,%)->%`cSequenceCategory(R)``472826
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``472924
odilog`1`x`(%)->%`cLiouvillianFunctionCategory``472971
odilog`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``473095
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``473136
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``473233
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``473330
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``473442
odim`1`x`(Color)->%`dPalette``473554
odimensionOfIrreducibleRepresentation`1`x`(List(Integer))->NonNegativeInteger`pIrrRepSymNatPackage``473646
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``473874
odimension`1`n`(%)->NonNegativeInteger`dCell(TheField)``473932
odimension`1`n`(%)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``473989
odimension`1`n`(%)->PositiveInteger`cSPointCategory``474050
odimension`1`x`(%)->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``474152
odimension`1`x`(%)->PositiveInteger`cPointCategory(R)``474303
odimension`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``474384
odimension`2`x`(%,List(VarSet))->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``474598
odimension`3`n`(List(%),SparseEchelonMatrix(JB,%),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``474705
odimension`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
odimensionsOf`1`n`(%)->List(Polynomial(Integer))`dFortranType``474885
odimensions`5`n`(%,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``474950
odimensions`5`x`(%,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``475400
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``475854
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``476031
odiracDelta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``476162
odiracDelta`1`x`(%)->%`cSpecialFunctionCategory``476225
odirectProduct`1`x`(Vector(R))->%`cDirectProductCategory(dim,R)``476288
odirectProduct`2`n`(%,%)->%`dGroupPresentation``476425
odirectSum`2`x`(%,%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`476467
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``476664
odirectedGraph`1`n`(FinitePoset(S))->%`dDirectedGraph(S)``476901
odirectedGraph`1`n`(List(Permutation(S)))->%`dDirectedGraph(S)``477056
odirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->%`dDirectedGraph(S)``477151
odirectedGraph`1`n`(List(S))->%`dDirectedGraph(S)``477298
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)``477574
odirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dDirectedGraph(S)``477725
odirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dDirectedGraph(S)``477828
odirection`1`n`(String)->Integer`pToolsForSign(R)``478015
odirections`1`n`(%)->List(JB)`dJetVectorField(JB,D)``478056
odirectory`1`x`(%)->String`cFileNameCategory``478173
odisableAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``478245
odisableDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``478326
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(%)->NonNegativeInteger`cFiniteFieldCategory``478390
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(%,%)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``478519
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``478619
odiscriminantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``478734
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``478878
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``478937
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)``478996
odiscriminant`1`x`(%)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`479064
odiscriminant`1`x`(Vector(%))->R`cFiniteRankAlgebra(R,UP)``479147
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`479251
odispGenerators`1`n`(%)->OutputForm`dHomology``479376
odispStatement`1`n`(OutputForm)->Void`pFortranCodeTools``479420
odisplayKind`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``479452
odisplayKind`1`x`(Symbol)->%`dGuessOption``479646
odisplayLines`1`n`(List(String))->Void`pFortranCodeTools``479840
odisplay`1`n`(%)->Void`cOutputFormatterCategory``479870
odisplay`1`n`(%)->Void`dJetDifferentialEquation(JB,D)``479922
odisplay`1`n`(%)->Void`dTexFormat``480270
odisplay`1`n`(Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F)))->OutputForm`pXDistributedPolynomialFunctions(VAR,F)``480452
odisplay`1`n`(String)->Void`dHTMLFormat``480582
odisplay`1`n`(String)->Void`dMathMLFormat``480645
odisplay`1`n`(String)->Void`dTexmacsFormat``480716
odisplay`1`x`(%)->Union((List(OutputForm))->OutputForm,"failed")`dBasicOperator``480787
odisplay`1`x`(%)->Void`dDatabase(S)``480909
odisplay`1`x`(%)->Void`dIndexCard``480986
odisplay`2`n`(%,Integer)->Void`dTexFormat``481072
odisplay`2`n`(%,List(Symbol))->OutputForm`dFreeDivisionAlgebra(VAR,F)``481214
odisplay`2`n`(%,OutputForm)->OutputForm`dFreeDivisionAlgebra(VAR,F)``481336
odisplay`2`x`(%,(List(OutputForm))->OutputForm)->%`dBasicOperator``481416
odisplay`2`x`(%,(OutputForm)->OutputForm)->%`dBasicOperator``481645
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)``481882
odistanceMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``482403
odistanceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
odistanceSquared`2`n`(%,%)->DoubleFloat`cSPointCategory``482936
odistanceWeighted`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(W,"disjoint")`dWeightedGraph(S,W)``483200
odistance`2`n`(%,%)->DoubleFloat`cSPointCategory``483276
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)``483569
odistance`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Integer`cFiniteGraph(S)``483669
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xFiniteGraph&(A,S)``0
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xPoset&(A,S)``0
odistdfact`2`n`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:NonNegativeInteger)))`pDistinctDegreeFactorize(F,FP)``483873
odistinct_partition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``484091
odistinct_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``484419
odistinct_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``484537
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`x`(%)->%`cExpressionSpace``484776
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`x`(%,%)->%`cExpressionSpace``484959
odistributionByBooleanCumulants`1`x`(Sequence(R))->%`dDistribution(R)``485194
odistributionByBooleanCumulants`1`x`(Stream(R))->%`dDistribution(R)``485308
odistributionByClassicalCumulants`1`x`(Sequence(R))->%`dDistribution(R)``485422
odistributionByClassicalCumulants`1`x`(Stream(R))->%`dDistribution(R)``485533
odistributionByEvenMoments`1`x`(Sequence(R))->%`dDistribution(R)``485644
odistributionByEvenMoments`1`x`(Stream(R))->%`dDistribution(R)``485769
odistributionByFreeCumulants`1`x`(Sequence(R))->%`dDistribution(R)``485894
odistributionByFreeCumulants`1`x`(Stream(R))->%`dDistribution(R)``486002
odistributionByJacobiParameters`2`x`(Sequence(R),Sequence(R))->%`dDistribution(R)``486110
odistributionByJacobiParameters`2`x`(Stream(R),Stream(R))->%`dDistribution(R)``486238
odistributionByMoments`1`x`(Sequence(R))->%`dDistribution(R)``486366
odistributionByMoments`1`x`(Stream(R))->%`dDistribution(R)``486461
odistributionByMonotoneCumulants`1`x`(Sequence(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`486556
odistributionByMonotoneCumulants`1`x`(Stream(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`486672
odistributionBySTransform`1`x`(Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R)))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`486788
odistributionBySTransform`1`x`(UPSR)->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``486905
odistributionBySTransform`3`x`(Fraction(Integer),Fraction(Integer),Sequence(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`487006
odivergence`2`n`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``487123
odivide!`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``487280
odivide!`4`n`(U32Vector,U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``487467
odivideExponents`2`x`(%,NonNegativeInteger)->Union(%,"failed")`cUnivariatePolynomialCategory(R)``487495
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``487730
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``488072
odivide`2`n`(%,%)->Union(Record(lm:%,rm:%),"failed")`dFreeMonoid(S)``488214
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)``488439
odivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cEuclideanDomain``488552
odivide`2`x`(%,%)->Record(quotient:%,remainder:%)`dNonNegativeInteger``488787
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``488873
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``489244
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)``489681
odivisor`1`x`(R)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``489755
odivisor`2`n`(F,F)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`2`x`(F,F)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``489826
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)``489941
odivisor`3`x`(R,UP,UP)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``490119
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)``490339
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``490661
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``490731
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``490791
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``490851
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``490911
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``491000
odoFactor`3`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer,Boolean)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``491086
odo_liou`2`n`(BasicOperator,List(Complex(F)))->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``491328
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)``491393
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)``491768
odo_with_error_env1`1`n`(()->List(String))->List(String)`pFortranCodeTools``492065
odo_with_error_env2`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``492101
odo_with_error_env3`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``492155
odom`1`x`(%)->SExpression`dAny``492209
odomainOf`1`x`(%)->OutputForm`dAny``492335
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)``492459
odot`1`n`(%)->%`dOutputForm``492858
odot`2`n`(%,NonNegativeInteger)->%`dOutputForm``492919
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``493000
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`x`(%,%)->R`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`493183
odot`2`x`(%,%)->R`cVectorCategory(R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`493274
odouble?`1`n`(%)->Boolean`dFortranScalarType``493429
odoubleComplex?`1`n`(%)->Boolean`dFortranScalarType``493528
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``493648
odoubleFloatFormat`1`x`(String)->String`dDoubleFloat``493690
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``493765
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``493933
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``494123
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``494209
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``494432
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``495161
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``496010
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``496247
odrawStyle`2`x`(%,String)->Void`dThreeDimensionalViewport``496669
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``497067
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``497153
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``497350
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``497436
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``497567
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``497717
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``497893
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``498036
odraw`2`x`(ParametricComplexCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``498215
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``498302
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``498478
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``498712
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``498910
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``499164
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``499388
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``499626
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``499836
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``500152
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``500423
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``500692
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``500860
odraw`3`x`(ParametricComplexCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``501096
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``501188
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``501457
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``501786
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``502072
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``502425
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``502725
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``503091
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``503398
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``503715
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``503918
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``504282
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``504527
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``504915
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``505380
odunceHat`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``505438
odunceHat`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``505487
oduplicates?`1`n`(%)->Boolean`dListMultiDictionary(S)``505541
oduplicates`1`x`(%)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``505622
oeFromBinaryMap`1`x`(NonNegativeInteger)->%`dCliffordAlgebra(n,K,bLin)``505709
oePseudoscalar`0`x`()->%`dCliffordAlgebra(n,K,bLin)``505912
oe`1`x`(PositiveInteger)->%`dCliffordAlgebra(n,K,bLin)``505937
oee`1`x`(List(PositiveInteger))->%`dCliffordAlgebra(n,K,bLin)``506094
oei_int`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX(R,F)``506135
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``506393
oeigenvalues`1`n`(Matrix(F))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`506538
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`506615
oeigenvalues`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``506692
oeigenvector`2`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``506922
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``507053
oeigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`507184
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)`507535
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)``507883
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``508292
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``508461
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``508620
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``508744
oelem?`1`n`(%)->Boolean`dIntegrationResult(F)``508894
oelement?`2`x`(DPoly,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``508978
oelement`3`n`(M,Integer,Integer)->M`pMatrixManipulation(R,Row,Col,M)``509078
oelementary`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``509187
oelements`1`n`(%)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``509311
oelimZeroCols!`1`n`(%)->Void`dSparseEchelonMatrix(C,D)``509403
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)`509539
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)`509796
oeliminationEquations`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`510117
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)`510301
oeliminationSolve`1`n`(List(Polynomial(R)))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`510590
oeliminationSolve`2`n`(Polynomial(R),List(R))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`510687
oeliminationSolve`3`n`(List(Polynomial(R)),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`510840
oeliminationSolve`3`n`(Polynomial(R),List(R),List(Equation(Polynomial(R))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`511144
oeliminationSolve`3`n`(Polynomial(R),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`511349
oeliminationTransformations`5`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`511563
oeliminationTransformations`6`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(Equation(Polynomial(R))))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`511815
oeliminationTransformations`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),Symbol,List(NonNegativeInteger),List(NonNegativeInteger),Symbol)->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`511988
oellipseBoundary`2`n`(PT,PT)->%`dSBoundary(PT)``512264
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``512503
oellipticE`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``512780
oellipticE`1`x`(%)->%`cSpecialFunctionCategory``512933
oellipticE`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``513086
oellipticE`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``513166
oellipticE`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``513247
oellipticE`1`x`(Float)->Float`pFloatEllipticFunctions``513327
oellipticE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``513408
oellipticE`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`513573
oellipticE`2`x`(%,%)->%`cSpecialFunctionCategory``513676
oellipticE`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``513841
oellipticE`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``513929
oellipticE`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``514017
oellipticE`2`x`(Float,Float)->Float`pFloatEllipticFunctions``514105
oellipticF`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``514193
oellipticF`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`514358
oellipticF`2`x`(%,%)->%`cSpecialFunctionCategory``514461
oellipticF`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``514626
oellipticF`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``514713
oellipticF`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``514800
oellipticF`2`x`(Float,Float)->Float`pFloatEllipticFunctions``514887
oellipticK`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``514974
oellipticK`1`x`(%)->%`cSpecialFunctionCategory``515126
oellipticK`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``515278
oellipticK`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``515365
oellipticK`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``515445
oellipticK`1`x`(Float)->Float`pFloatEllipticFunctions``515530
oellipticPi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``515610
oellipticPi`3`n`(UTS,Coef,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`515798
oellipticPi`3`x`(%,%,%)->%`cSpecialFunctionCategory``515908
oellipticPi`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``516096
oellipticPi`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``516189
oellipticPi`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``516282
oellipticPi`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``516375
oellipticRC`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``516468
oellipticRC`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``516581
oellipticRD`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``516694
oellipticRD`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``516827
oellipticRF`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``516960
oellipticRF`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``517093
oellipticRJ`4`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``517226
oellipticRJ`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``517396
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``517545
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``517671
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``517797
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``518023
oelt`1`n`(%)->S`dReference(S)``518236
oelt`1`x`(%)->R`dCartesianTensor(minix,dim,R)``518286
oelt`2`n`(%,Integer)->R`cSequenceCategory(R)``518347
oelt`2`n`(%,List(%))->%`dOutputForm``518420
oelt`2`n`(%,NonNegativeInteger)->F`dFreeDivisionAlgebra(VAR,F)``518522
oelt`2`n`(%,R)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``518601
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)``518662
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)``518741
oelt`2`x`(%,"first")->S`cUnaryRecursiveAggregate(S)``518809
oelt`2`x`(%,"last")->S`cUnaryRecursiveAggregate(S)``518906
oelt`2`x`(%,"left")->%`cBinaryRecursiveAggregate(S)``519000
oelt`2`x`(%,"rest")->%`cUnaryRecursiveAggregate(S)``519094
oelt`2`x`(%,"right")->%`cBinaryRecursiveAggregate(S)``519188
oelt`2`x`(%,"sort")->%`dDataList(S)``519285
oelt`2`x`(%,"unique")->%`dDataList(S)``519375
oelt`2`x`(%,"value")->S`cRecursiveAggregate(S)``519485
oelt`2`x`(%,%)->%`cStringAggregate``519582
oelt`2`x`(%,D)->I`cEltable(D,I)``519798
oelt`2`x`(%,DirectProduct(n,K))->K`dQuadraticForm(n,K)``519959
oelt`2`x`(%,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``520071
oelt`2`x`(%,Integer)->%`cSExpressionCategory(Str,Sym,Int,Flt)``520227
oelt`2`x`(%,Integer)->R`cFramedNonAssociativeAlgebra(R)``520295
oelt`2`x`(%,Integer)->R`dCartesianTensor(minix,dim,R)``520418
oelt`2`x`(%,List(Integer))->%`cSExpressionCategory(Str,Sym,Int,Flt)``520482
oelt`2`x`(%,List(Integer))->R`dCartesianTensor(minix,dim,R)``520727
oelt`2`x`(%,List(OutputForm))->%`dSymbol``520814
oelt`2`x`(%,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``520952
oelt`2`x`(%,QueryEquation)->%`dDatabase(S)``521036
oelt`2`x`(%,S)->S`cPermutationCategory(S)``521121
oelt`2`x`(%,Symbol)->Any`dLibrary``521210
oelt`2`x`(%,Symbol)->DataList(String)`dDatabase(S)``521343
oelt`2`x`(%,Symbol)->String`dIndexCard``521427
oelt`2`x`(BasicOperator,%)->%`cExpressionSpace``521619
oelt`2`x`(BasicOperator,List(%))->%`cExpressionSpace``521719
oelt`2`x`(Fraction(%),Fraction(%))->Fraction(%)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`521886
oelt`2`x`(Fraction(%),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`522024
oelt`3`n`(%,Integer,C)->D`dSparseEchelonMatrix(C,D)``522175
oelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``522302
oelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``522419
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)``522507
oelt`3`x`(%,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``522643
oelt`3`x`(%,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``522791
oelt`3`x`(%,F,PositiveInteger)->F`dRuleset(Base,R,F)``522918
oelt`3`x`(%,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``523053
oelt`3`x`(%,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``523221
oelt`3`x`(%,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``523395
oelt`3`x`(%,Integer,List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``523464
oelt`3`x`(%,Integer,List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``523748
oelt`3`x`(%,List(Integer),Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``523955
oelt`3`x`(%,List(Integer),List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``524239
oelt`3`x`(%,List(Integer),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``524616
oelt`3`x`(%,List(Segment(Integer)),Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``524758
oelt`3`x`(%,List(Segment(Integer)),List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``524965
oelt`3`x`(%,List(Segment(Integer)),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``525164
oelt`3`x`(%,Segment(Integer),List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``525362
oelt`3`x`(%,Segment(Integer),List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``525504
oelt`3`x`(%,Segment(Integer),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``525702
oelt`3`x`(BasicOperator,%,%)->%`cExpressionSpace``525844
oelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``525975
oelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``526103
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)``526183
oelt`4`x`(%,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``526257
oelt`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``526476
oelt`4`x`(BasicOperator,%,%,%)->%`cExpressionSpace``526693
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)``526854
oelt`5`x`(BasicOperator,%,%,%,%)->%`cExpressionSpace``526933
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``527121
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``527266
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``527428
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``527607
oeltable?`1`n`(F)->Boolean`pRecurrenceOperator(R,F)``527803
oempty?`1`n`(%)->Boolean`cFacetCategory``527907
oempty?`1`n`(%)->Boolean`dLatticeJoinOfMeets``527975
oempty?`1`n`(%)->Boolean`dLatticeMeetOfJoins``528003
oempty?`1`n`(%)->Boolean`dOutputBox``528031
oempty?`1`n`(%)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``528119
oempty?`1`n`(%)->Boolean`dSplittingNode(V,C)``528243
oempty?`1`n`(%)->Boolean`dXmlElement``528332
oempty?`1`n`(OutputForm)->Boolean`pOutputFormTools``528419
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(S)->Boolean`xFacetCategory&(S)``0
oempty?`1`x`(%)->Boolean`cAggregate``528477
oemptyLattice`0`n`()->%`dLatticeJoinOfMeets``528535
oemptyLattice`0`n`()->%`dLatticeMeetOfJoins``528569
oempty_mat?`1`n`(MMT)->Boolean`cModularFactorizationOperations(PA,MMT,MD,PMD)``528603
oempty_mat`0`n`()->MMT`cModularFactorizationOperations(PA,MMT,MD,PMD)``528699
oempty_poly`0`n`()->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``528773
oempty`0`n`()->%`dOutputBox``528838
oempty`0`n`()->%`dOutputForm``528876
oempty`0`n`()->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``528921
oempty`0`n`()->%`dSplittingNode(V,C)``528981
oempty`0`n`()->%`dSymbolTable``529070
oempty`0`n`()->%`dTheSymbolTable``529128
oempty`0`x`()->%`cAggregate``529187
oempty`1`n`(Integer)->%`dVectorIntegerReconstructor``529379
oempty`2`n`(Integer,Integer)->%`dVectorModularReconstructor``529445
oenableAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``529543
oenableDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``529622
oendOfFile?`1`x`(%)->Boolean`dTextFile``529684
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``529857
oenqueue!`2`x`(S,%)->S`cQueueAggregate(S)``529952
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``530041
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``530236
oenterPointData`2`x`(%,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``530495
oentries`1`n`(%)->List(NonNegativeInteger)`dLoop``530713
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)``530783
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))`530885
oenumerate`0`n`()->List(S)`xFinite&(S)``0
oenumerate`0`n`()->Vector(%)`dSetOfMIntegersInOneToN(m,n)``530977
oenumerate`0`x`()->List(%)`cFinite``531073
oenvironment`4`n`(String,String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`dFormatLaTeX``531136
oenvironment`4`n`(String,String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`dFormatMathJax``531417
oepilogue`1`n`(%)->List(String)`dTexFormat``531698
oepilogue`1`n`(%)->OutputBox`dFormatter(F)``531778
oepsilon`0`n`()->Symbol`pMathematicalSymbols``531948
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(%,%)->Boolean`cAggregate``532019
oeqRep?`2`n`(%,%)->Boolean`dJetLazyFunction(JB,D)``532094
oeq`2`x`(%,%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``532295
oequal?`4`n`(%,List(NonNegativeInteger),%,List(NonNegativeInteger))->Boolean`dLinearMultivariateMatrixPencil(R)``532387
oequality`2`x`(%,(%,%)->Boolean)->%`dBasicOperator``532561
oequation`2`x`(S,S)->%`dEquation(S)``532865
oequation`2`x`(Symbol,Segment(S))->%`dSegmentBinding(S)``532917
oequation`2`x`(Symbol,String)->%`dQueryEquation``533092
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``533148
oerf`1`x`(%)->%`cLiouvillianFunctionCategory``533196
oerf`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``533349
oerf`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerf`1`x`(Float)->Float`pFloatLiouvilianFunctions``533397
oerfi`1`n`(F)->F`pLiouvillianFunction(R,F)``533445
oerfi`1`x`(%)->%`cLiouvillianFunctionCategory``533498
oerfi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``533551
oerfi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerfi`1`x`(Float)->Float`pFloatLiouvilianFunctions``533604
oerrorInfo`1`x`(%)->List(Symbol)`dOpenMathError``533657
oerrorKind`1`x`(%)->OpenMathErrorKind`dOpenMathError``533730
oerror`1`x`(List(String))->Exit`pErrorFunctions``533810
oerror`1`x`(String)->Exit`pErrorFunctions``533887
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``533962
oerror`2`x`(String,String)->Exit`pErrorFunctions``534126
oeta`0`n`()->Symbol`pMathematicalSymbols``534294
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``534357
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``534514
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``534849
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``535156
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``535341
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`535452
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``535543
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``535759
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``536081
oeval1`1`n`(%)->%`dJetLazyFunction(JB,D)``536234
oeval1`4`n`(MP,Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(MP,"failed")`cModularEvaluationCategory(PT,MP)``536346
oeval1`4`n`(Polynomial(Integer),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Polynomial(Integer)`pPolynomialEvaluationUtilities``536487
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``536686
oeval1a`3`n`(Polynomial(Integer),Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Integer`pPolynomialEvaluationUtilities``536906
oeval_at`4`n`(U32Vector,Integer,Integer,Integer)->Integer`pU32VectorPolynomialOperations``537143
oeval_with_timeout`2`n`(()->S,Integer)->Union(S,"failed")`pTimeoutPackage(S)``537317
oeval`1`n`(%)->%`dJetLazyFunction(JB,D)``537505
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``537612
oeval`2`n`(%,D)->D`dJetVectorField(JB,D)``537682
oeval`2`n`(%,F)->F`dMoebiusTransform(F)``537769
oeval`2`n`(%,JetVectorField(JB,D))->D`dJetDifferential(JB,D)``537921
oeval`2`n`(%,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``538014
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``538166
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)``538394
oeval`2`x`(%,%)->%`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`538541
oeval`2`x`(%,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(^,Coef(Coef,Expon)))`538626
oeval`2`x`(%,Equation(R))->%`cEvalable(R)``538747
oeval`2`x`(%,List(%))->%`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`538821
oeval`2`x`(%,List(Equation(R)))->%`cEvalable(R)``538925
oeval`2`x`(%,S)->S`cPermutationCategory(S)``539023
oeval`2`x`(Distribution(R),UPS)->S`pDistributionPolynomialPackage(R,S,UPS)``539113
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``539261
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``539381
oeval`2`x`(MxN,(M,N)->S)->S`cTensorProductProperty(R,M,N,MxN,S)``539644
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)``539745
oeval`3`x`(%,A,B)->%`cInnerEvalable(A,B)``539827
oeval`3`x`(%,BasicOperator,(%)->%)->%`cExpressionSpace``539902
oeval`3`x`(%,BasicOperator,(List(%))->%)->%`cExpressionSpace``540006
oeval`3`x`(%,List(A),List(B))->%`cInnerEvalable(A,B)``540157
oeval`3`x`(%,List(BasicOperator),List((%)->%))->%`cExpressionSpace``540266
oeval`3`x`(%,List(BasicOperator),List((List(%))->%))->%`cExpressionSpace``540418
oeval`3`x`(%,List(Symbol),List((%)->%))->%`cExpressionSpace``540619
oeval`3`x`(%,List(Symbol),List((List(%))->%))->%`cExpressionSpace``540771
oeval`3`x`(%,List(VarSet),List(%))->%`cFreeLieAlgebra(VarSet,R)``540972
oeval`3`x`(%,Symbol,(%)->%)->%`cExpressionSpace``541095
oeval`3`x`(%,Symbol,(List(%))->%)->%`cExpressionSpace``541199
oeval`3`x`(%,VarSet,%)->%`cFreeLieAlgebra(VarSet,R)``541350
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``541425
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``541658
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))`541743
oeval`4`x`(%,List(BasicOperator),List(%),Symbol)->%`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`541887
oeval`4`x`(%,List(Symbol),List(NonNegativeInteger),List((%)->%))->%`cFunctionSpace(R)`has(R,Ring)`542079
oeval`4`x`(%,List(Symbol),List(NonNegativeInteger),List((List(%))->%))->%`cFunctionSpace(R)`has(R,Ring)`542255
oeval`4`x`(%,Symbol,NonNegativeInteger,(%)->%)->%`cFunctionSpace(R)`has(R,Ring)`542473
oeval`4`x`(%,Symbol,NonNegativeInteger,(List(%))->%)->%`cFunctionSpace(R)`has(R,Ring)`542584
oevaluateInverse`2`n`(%,(R)->R)->%`dOperator(R)``0
oevaluateInverse`2`x`(%,(M)->M)->%`dModuleOperator(R,M)``542737
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``542789
oevaluate`2`n`(%,(R)->R)->%`dOperator(R)``0
oevaluate`2`x`(%,(M)->M)->%`dModuleOperator(R,M)``542913
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``543240
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``543474
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``543711
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(%)->Boolean`cExpressionSpace`has(%,RetractableTo(Integer))`543895
oeven?`1`x`(%)->Boolean`cIntegerNumberSystem``543964
oeven?`1`x`(%)->Boolean`dPermutation(S)``544040
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``544171
oevenlambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
oevenlambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``544323
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``544704
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)`545028
oexQuo`2`n`(%,%)->Union(%,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``545344
oexQuo`2`n`(%,%)->Union(%,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``545386
oexQuo`2`n`(%,%)->Union(%,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``545428
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)`545470
oexactQuotient!`2`x`(%,R)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`545557
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)`545645
oexactQuotient`2`x`(%,R)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`545833
oexists?`1`x`(%)->Boolean`cFileNameCategory``546021
oexp0`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``546091
oexp1`0`x`()->%`dDoubleFloat``546290
oexp1`0`x`()->%`dFloat``546363
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``546423
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``546510
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)``546972
oexp`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``547274
oexp`1`n`(F)->F`pElementaryFunction(R,F)``547341
oexp`1`n`(LiePolynomial(VarSet,R))->%`dLieExponentials(VarSet,R,Order)``547407
oexp`1`n`(List(Integer))->%`dAntiSymm(R,lVar)``547465
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)``547539
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``547615
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``547691
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``547764
oexp`1`x`(%)->%`cElementaryFunctionCategory``547839
oexp`2`n`(%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`547902
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``547998
oexpa`1`n`(%)->IntegerMod(n)`dDihedralGroup(n,a,b)``548089
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``548181
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``548347
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)))`548460
oexpand`1`n`(%)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(%)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``548841
oexpand`1`x`(%)->L`cSegmentExpansionCategory(S,L)``548903
oexpand`1`x`(%)->R`dFactored(R)``549092
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``549305
oexpand`1`x`(List(%))->L`cSegmentExpansionCategory(S,L)``549711
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``549967
oexpand`2`x`(IntegrationResult(F),Symbol)->List(F)`pIntegrationResultToFunction(R,F)``550069
oexpand`2`x`(IntegrationResult(Fraction(Polynomial(R))),Symbol)->List(Expression(R))`pIntegrationResultRFToFunction(R)``550181
oexpb`1`n`(%)->IntegerMod(2)`dDihedralGroup(n,a,b)``550293
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)``550394
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``550650
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)``550742
oexplicitEntries?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``550963
oexplicitlyEmpty?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``551103
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(%)->Boolean`cStreamAggregate(S)``551268
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``551470
oexponent`1`n`(%)->E`dModuleMonomial(IS,E,ff)``551607
oexponent`1`n`(%)->Integer`dCyclicGroup(n,g)``551647
oexponent`1`n`(%)->Integer`dInfiniteCyclicGroup(g)``551724
oexponent`1`n`(%)->Integer`dMachineFloat``551801
oexponent`1`n`(%)->NonNegativeInteger`dIntegerLocalizedAtPrime(p)``551860
oexponent`1`n`(%)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``552019
oexponent`1`x`(%)->Integer`cFloatingPointSystem``552073
oexponenta`1`n`(%)->Integer`dDihedralGroup(n,a,b)``552173
oexponentb`1`n`(%)->Integer`dDihedralGroup(n,a,b)``552281
oexponential1`0`n`()->Float`pRandomFloatDistributions``552398
oexponentialOrder`1`n`(%)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``552441
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``552553
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->%`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``552596
oexponents`1`n`(%)->List(Integer)`dExtAlgBasis``552732
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)``552893
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)``554961
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)``557029
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)``557227
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)``557425
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)``557798
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)``558171
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)``560226
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``562281
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``562597
oexpressIdealMember`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(%),%)->Union(List(%),"failed")`cPrincipalIdealDomain``562663
oexpression2Fortran1`3`n`(()->Symbol,OutputForm,Boolean)->List(String)`pFortranCodeTools``562870
oexpression2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``562932
oexprex`1`n`(OutputForm)->String`dHTMLFormat``562969
oexptMod`3`n`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``563044
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``563166
oexquo`2`n`(%,%)->%`dOutputForm``563227
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)``563290
oexquo`2`x`(%,%)->Union(%,"failed")`cEntireRing``563428
oexquo`2`x`(%,%)->Union(%,"failed")`dNonNegativeInteger``563559
oexquo`2`x`(%,R)->Union(%,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`563701
oexquo`2`x`(%,R)->Union(%,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,EntireRing)`563841
oexquo`2`x`(%,R)->Union(%,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`563961
oexquo`2`x`(%,R)->Union(%,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`564111
oexquo`2`x`(%,R)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`564261
oextendIfCan`2`x`(%,P)->Union(%,"failed")`cTriangularSetCategory(R,E,V,P)``564387
oextendToPoint`2`n`(%,PT)->%`dSBoundary(PT)``564945
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)``565106
oextend`2`x`(%,Integer)->%`cLazyStreamAggregate(S)``565209
oextend`2`x`(%,Integer)->%`cPAdicIntegerCategory(p)``565446
oextend`2`x`(%,Integer)->%`dContinuedFraction(R)``565530
oextend`2`x`(%,List(R))->%`cPointCategory(R)``565710
oextend`2`x`(%,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``565758
oextend`2`x`(%,P)->%`cTriangularSetCategory(R,E,V,P)``565854
oextend`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``566147
oextend`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``566312
oextend`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``566413
oextend`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``566710
oextendedALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``566809
oextendedCoords`1`n`(%)->List(DoubleFloat)`cSPointCategory``566920
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(%,%)->Record(coef1:%,coef2:%,generator:%)`cEuclideanDomain``566993
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``567380
oextendedLLL!`2`n`(Matrix(Integer),NonNegativeInteger)->Matrix(Integer)`pLLLReduction``567594
oextendedLLL`1`n`(Matrix(Integer))->Record(lll:Matrix(Integer),trf:Matrix(Integer))`pLLLReduction``567940
oextendedResultant`2`n`(%,%)->Record(resultant:R,coef1:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`568151
oextendedSubResultantGcd`2`n`(%,%)->Record(gcd:%,coef1:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`568314
oextendedSubResultantGcd`2`x`(%,%)->Record(gcd:%,coef1:%,coef2:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`568501
oextended_gcd`3`n`(U32Vector,U32Vector,Integer)->List(U32Vector)`pU32VectorPolynomialOperations``568672
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)``568975
oextendedint`3`n`(Symbol,List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricIntegration(R,F)``569288
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)``569512
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``569769
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``569840
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``569981
oextension`1`x`(%)->String`cFileNameCategory``570052
oexteriorDifferential`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``570119
oexternal?`1`n`(%)->Boolean`dFortranType``570266
oexternalList`1`n`(%)->List(Symbol)`dSymbolTable``570352
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`x`(%)->S`cBagAggregate(S)``570441
oextractBottom!`1`x`(%)->S`cDequeueAggregate(S)``570524
oextractClosed`1`n`(%)->Boolean`dSubSpace(n,R)``570661
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``570895
oextractIndex`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``570966
oextractPoint`1`n`(%)->Point(R)`dSubSpace(n,R)``571094
oextractProperty`1`n`(%)->SubSpaceComponentProperty`dSubSpace(n,R)``571253
oextractSplittingLeaf`1`n`(%)->Union(%,"failed")`dSplittingTree(V,C)``571404
oextractSymbol`1`n`(SparseEchelonMatrix(JB,%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``571547
oextractSymbol`1`n`(SparseEchelonMatrix(JB,S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
oextractSymbol`2`n`(%,Boolean)->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``571633
oextractTop!`1`x`(%)->S`cDequeueAggregate(S)``571828
oextract`3`n`(%,Integer,Integer)->%`dSparseEchelonMatrix(C,D)``571960
oeyeDistance`2`x`(%,Float)->Void`dThreeDimensionalViewport``572072
ofaceMap`2`n`(%,NonNegativeInteger)->List(List(Integer))`dDeltaComplex(VS)``572273
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`572528
ofactorAndSplit`1`x`(%)->List(%)`dEquation(S)`has(S,IntegralDomain)`572636
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``572813
ofactorFraction`1`x`(%)->Fraction(Factored(S))`dFraction(S)`has(S,UniqueFactorizationDomain)`573041
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``573141
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``573287
ofactorList`1`x`(%)->List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger))`dFactored(R)``573528
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``573624
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``573681
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``573818
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``573904
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``574084
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``574227
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``574470
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``574829
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``574947
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``575064
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``575346
ofactorSquareFree`1`n`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``575542
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``575652
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``575764
ofactorSquareFree`1`n`(UP)->Factored(UP)`pUnivariateFiniteFieldFactorize(F,UP)``575908
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``576012
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``576295
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``576541
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``576883
ofactor`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``577197
ofactor`1`n`(%)->List(%)`dILogic``577376
ofactor`1`n`(%)->List(%)`dLatticeJoinOfMeets``577717
ofactor`1`n`(%)->List(%)`dLatticeMeetOfJoins``578058
ofactor`1`n`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``578399
ofactor`1`n`(FreeMonoid(VarSet))->List(%)`dLyndonWord(VarSet)``578487
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``578567
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`578642
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``578698
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``578795
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``578927
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``579002
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)``579093
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``579403
ofactor`1`n`(UP)->Factored(UP)`pUnivariateFiniteFieldFactorize(F,UP)``579484
ofactor`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)`has(F,PolynomialFactorizationExplicit)`579548
ofactor`1`x`(%)->Factored(%)`cUniqueFactorizationDomain``579763
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``579844
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``579946
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``580043
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``580164
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``580248
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``580433
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``580657
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``580769
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``580836
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``580960
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``581069
ofactor`2`n`(SparseUnivariatePolynomial(F),List(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``581218
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``581381
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``581613
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``581811
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``581972
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``582212
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``582352
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``582573
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)``582733
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``582764
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``583021
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``583250
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``583566
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(%)->%`cCombinatorialFunctionCategory``583659
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``583824
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``583978
ofactorials`1`x`(%)->%`cCombinatorialOpsCategory``584082
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``584186
ofactorials`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``584314
ofactorizationEquations`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``584442
ofactorizationGroebner`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``584542
ofactorizationSolve`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``584641
ofactorizationTransformations`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``584856
ofactorize`2`n`(%,NonNegativeInteger)->List(%)`dFreeDivisionAlgebra(VAR,F)``584968
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:NonNegativeInteger))`cFiniteFieldCategory``585116
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``585202
ofactors`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``585316
ofactors`1`n`(%)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``585446
ofactors`1`n`(%)->List(Record(gen:S,exp:NonNegativeInteger))`dFreeMonoid(S)``585543
ofactors`1`x`(%)->List(Record(factor:R,exponent:NonNegativeInteger))`dFactored(R)``585640
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``585932
ofailed?`1`n`(%)->Boolean`dPatternMatchListResult(R,S,L)``586011
ofailed?`1`n`(%)->Boolean`dPatternMatchResult(R,S)``586073
ofailed`0`n`()->%`dPatternMatchListResult(R,S,L)``586135
ofailed`0`n`()->%`dPatternMatchResult(R,S)``586182
ofalse`0`x`()->%`cLogic``586229
offfg`3`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``586272
offfg`4`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``586356
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``587189
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``587348
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``587509
ofilename`3`x`(String,String,String)->%`cFileNameCategory``587838
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)`588093
ofill!`2`x`(%,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``588220
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``588286
ofilterUntil`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``588345
ofilterUntil`2`x`((S)->Boolean,%)->%`dStream(S)``588425
ofilterWhile`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``588606
ofilterWhile`2`x`((S)->Boolean,%)->%`dStream(S)``588682
ofindCycle`2`x`(NonNegativeInteger,%)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``588866
ofindNode`2`n`(%,String)->Scene(PT)`dSceneNamedPoints(PT)``588945
ofindNonZeroEntry`3`n`(Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`pXDistributedPolynomialFunctions(VAR,F)``589000
ofindPoint`2`n`(%,String)->PT`dSceneNamedPoints(PT)``589218
ofind_relation`2`n`(List(Float),NonNegativeInteger)->List(Integer)`pLLLReduction``589302
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)``589434
ofinite?`1`x`(%)->Boolean`dCardinalNumber``589564
ofinite?`1`x`(%)->Boolean`dOnePointCompletion(R)``589678
ofinite?`1`x`(%)->Boolean`dOrderedCompletion(R)``589732
ofiniteBasis`1`n`(%)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``589786
ofiniteLattice`1`n`(NonNegativeInteger)->%`dFiniteLattice(S,p)``589873
ofiniteLattice`1`n`(S)->%`dFiniteLattice(S,p)``589924
ofinitePoset`2`n`(List(S),(S,S)->Boolean)->%`cPoset(S)``589976
ofinitePoset`2`n`(List(S),List(List(Boolean)))->%`cPoset(S)``590087
ofintegrate`3`n`(()->%,Var,Coef)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`590147
ofintegrate`3`x`(()->%,Symbol,Coef)->%`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`590361
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``590575
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``590694
ofirst`1`n`(%)->A`dProduct(A,B)``591013
ofirst`1`n`(%)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``591075
ofirst`1`n`(%)->S`dFreeMonoid(S)``591149
ofirst`1`n`(%)->VarSet`dFreeMagma(VarSet)``591210
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)`591279
ofirst`1`x`(%)->S`cUnaryRecursiveAggregate(S)``591444
ofirst`1`x`(%)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``591554
ofirst`2`n`(%,NonNegativeInteger)->%`cSequenceCategory(R)``591706
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)``591785
ofirst`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)``591924
ofirstn`2`n`(%,NonNegativeInteger)->List(R)`cSequenceCategory(R)``592011
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``592085
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``592173
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``592423
ofixedPoints`1`x`(%)->Set(S)`dPermutation(S)`has(S,Finite)`592547
oflagFactor`3`x`(R,NonNegativeInteger,Union("nil","sqfr","irred","prime"))->%`dFactored(R)``592630
oflatten`1`n`(%)->%`dInputForm``592808
oflatten`1`n`(DirectedGraph(%))->%`cFiniteGraph(S)``593048
oflatten`1`n`(DirectedGraph(A))->A`xPoset&(A,S)``0
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``593240
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``593459
oflexibleArray`1`n`(List(S))->%`dIndexedFlexibleArray(S,mn)``593678
oflexibleArray`1`x`(List(S))->%`dFlexibleArray(S)``0
ofloat?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``593769
ofloat`1`x`(%)->Flt`cSExpressionCategory(Str,Sym,Int,Flt)``593857
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->%`cFloatingPointSystem``593993
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->%`cFloatingPointSystem``594052
ofloor`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``594111
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(%)->%`cRealNumberSystem``594187
ofloor`1`x`(%)->%`cSpecialFunctionCategory``594250
ofloor`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`594326
oflush`1`x`(%)->Void`cFileCategory(Name,S)``594402
ofmecg`4`n`(S,E,R,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
ofmecg`4`x`(%,E,R,%)->%`cFiniteAbelianMonoidRing(R,E)`has(R,Ring)`594494
oforLoop`2`n`(SegmentBinding(Polynomial(Integer)),%)->%`dFortranCode``594577
oforLoop`3`n`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),%)->%`dFortranCode``594706
oformalDiff2`3`n`(%,PositiveInteger,SparseEchelonMatrix(JB,%))->Record(DPhi:%,JVars:List(JB))`cJetBundleFunctionCategory(JB)``594852
oformalDiff2`3`n`(List(%),PositiveInteger,SparseEchelonMatrix(JB,%))->Record(DSys:List(%),JVars:List(List(JB)))`cJetBundleFunctionCategory(JB)``595131
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)``595237
oformalDiff`2`n`(%,PositiveInteger)->%`cJetBundleFunctionCategory(JB)``595347
oformalDiff`2`n`(List(%),PositiveInteger)->List(%)`cJetBundleFunctionCategory(JB)``595479
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``595627
oformatConstant`1`n`(String)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``595703
oformatExpression`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``595779
oformatExpression`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``596008
oformatExpression`1`n`(OutputForm)->OutputBox`cFormatterCategory``596237
oformatExpression`1`n`(OutputForm)->OutputBox`xFormatterCategory&(S)``596326
oformatExpression`2`n`(OutputForm,Integer)->OutputBox`cFormatterCategory``596415
oformatExpression`2`n`(OutputForm,Integer)->OutputBox`xFormatterCategory&(S)``597037
oformatFloat`1`n`(String)->OutputBox`cFormatterCategory``597659
oformatFloat`1`n`(String)->OutputBox`xFormatterCategory&(S)``597776
oformatFunctionSymbol`1`n`(String)->OutputBox`cFormatterCategory``597893
oformatFunctionSymbol`1`n`(String)->OutputBox`xFormatterCategory&(S)``597977
oformatInteger`1`n`(Integer)->OutputBox`cFormatterCategory``598061
oformatInteger`1`n`(Integer)->OutputBox`xFormatterCategory&(S)``598112
oformatStep`2`n`(OutputForm,Integer)->%`dFormatter(F)``598163
oformatString`1`n`(String)->OutputBox`cFormatterCategory``598278
oformatString`1`n`(String)->OutputBox`xFormatterCategory&(S)``598326
oformatSymbol`1`n`(String)->OutputBox`cFormatterCategory``598374
oformatSymbol`1`n`(String)->OutputBox`xFormatterCategory&(S)``598422
oformat`1`n`(%)->OutputBox`dFormatter(F)``598470
oformat`1`n`(OutputForm)->%`dFormatter(F)``598549
ofortFormatHead`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol))->Void`pFortranCodeTools``598633
ofortFormatTypeLines`2`n`(String,List(String))->Void`pFortranCodeTools``598690
ofort_clean_lines`1`n`(List(String))->List(String)`pFortranCodeTools``0
ofort_format_types`2`n`(String,List(OutputForm))->Void`pFortranCodeTools``598739
ofortranCarriageReturn`0`n`()->Void`dFortranTemplate``598790
ofortranCharacter`0`n`()->%`dFortranType``598892
ofortranComplex`0`n`()->%`dFortranType``598972
ofortranDoubleComplex`0`n`()->%`dFortranType``599048
ofortranDouble`0`n`()->%`dFortranType``599137
ofortranInteger`0`n`()->%`dFortranType``599221
ofortranLiteralLine`1`n`(String)->Void`dFortranTemplate``599297
ofortranLiteral`1`n`(String)->Void`dFortranTemplate``599419
ofortranLogical`0`n`()->%`dFortranType``599504
ofortranReal`0`n`()->%`dFortranType``599580
ofortranTypeOf`2`n`(Symbol,%)->FortranType`dSymbolTable``599650
ofortran`3`n`(Symbol,FortranScalarType,FS)->%`dSimpleFortranProgram(R,FS)``599724
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``599908
ofracPart`1`x`(%)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``599947
ofractRadix`2`x`(List(Integer),List(Integer))->%`dRadixExpansion(bb)``600038
ofractRagits`1`x`(%)->Stream(Integer)`dRadixExpansion(bb)``600249
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`600343
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``600485
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(%)->%`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`600556
ofractionPart`1`x`(%)->%`cRealNumberSystem``600683
ofractionPart`1`x`(%)->%`cSpecialFunctionCategory``600753
ofractionPart`1`x`(%)->Fraction(Integer)`dBinaryExpansion``600883
ofractionPart`1`x`(%)->Fraction(Integer)`dDecimalExpansion``600964
ofractionPart`1`x`(%)->Fraction(Integer)`dHexadecimalExpansion``601046
ofractionPart`1`x`(%)->Fraction(Integer)`dRadixExpansion(bb)``601132
ofraction`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``601213
ofractionalTerms`1`x`(%)->List(Record(num:R,den:Factored(R)))`dPartialFraction(R)``601456
ofree?`1`n`(%)->Boolean`dLambda(UT)``601642
ofreeConvolution`2`n`(%,%)->%`cDistributionCategory(R)``601744
ofreeCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``601854
ofreeCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``601971
ofreeCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``602073
ofreeMultiplicativeConvolution`2`x`(%,%)->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`602173
ofreeOf?`2`n`(%,JB)->Boolean`cJetBundleFunctionCategory(JB)``602318
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``602414
ofreeOf?`2`x`(%,Symbol)->Boolean`cExpressionSpace``602544
ofreePoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``602646
ofreeVariable?`2`n`(%,UT)->Boolean`dSKICombinators(UT)``602746
ofresnelC`1`n`(F)->F`pLiouvillianFunction(R,F)``602863
ofresnelC`1`x`(%)->%`cLiouvillianFunctionCategory``602927
ofresnelC`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``603041
ofresnelC`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelC`1`x`(Float)->Float`pFloatLiouvilianFunctions``603105
ofresnelS`1`n`(F)->F`pLiouvillianFunction(R,F)``603169
ofresnelS`1`x`(%)->%`cLiouvillianFunctionCategory``603233
ofresnelS`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``603347
ofresnelS`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelS`1`x`(Float)->Float`pFloatLiouvilianFunctions``603411
ofrobenius`1`n`(%)->%`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`603475
ofront`1`x`(%)->S`cQueueAggregate(S)``603562
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`603712
ofrst`1`x`(%)->S`cLazyStreamAggregate(S)``603809
ofsqrt`1`n`(F)->F`pGenerateEllipticIntegrals(F,UP,UPUP,R)``603994
ofullDisplay`1`x`(%)->Void`dDatabase(S)``604049
ofullDisplay`1`x`(%)->Void`dIndexCard``604127
ofullDisplay`3`x`(%,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``604211
ofullPartialFraction`1`x`(Fraction(UP))->%`dFullPartialFractionExpansion(F,UP)``604334
ofunctionGraph`1`n`(List(Permutation(S)))->%`dFunctionGraph(S)``604503
ofunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:NonNegativeInteger,map:List(NonNegativeInteger))))->%`dFunctionGraph(S)``604555
ofunctionGraph`1`n`(List(S))->%`dFunctionGraph(S)``604659
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)``604931
ofunctionName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``605046
ofunctionName`1`x`(Symbol)->%`dGuessOption``605177
ofunctionNames`1`n`(List(GuessOption))->List(Symbol)`dGuessOptionFunctions0``605365
ofunctionNames`1`x`(List(Symbol))->%`dGuessOption``605507
ofunction`2`n`(Symbol,List(%))->%`dJetBundleXExpression(JB)``605664
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``605763
ofunction`3`n`(%,List(Symbol),Symbol)->%`dInputForm``605834
ofunction`3`n`(Symbol,List(%),NonNegativeInteger)->%`dJetBundleExpression(JB)``605964
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``606133
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``606240
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``606317
ofundamentalGroup`1`n`(%)->GroupPresentation`dDeltaComplex(VS)``606403
ofundamentalGroup`1`n`(%)->GroupPresentation`dFiniteCubicalComplex(VS)``606468
ofundamentalGroup`1`n`(%)->GroupPresentation`dFiniteSimplicialComplex(VS)``606953
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dDeltaComplex(VS)``607475
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dFiniteCubicalComplex(VS)``607540
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dFiniteSimplicialComplex(VS)``608066
ogamma`0`n`()->Symbol`pMathematicalSymbols``608629
ogamma`0`x`()->Complex(Float)`pFloatLiouvilianFunctions``608688
ogaugeHilbert`2`n`(NonNegativeInteger,List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``608732
ogauge`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``608893
ogaussianDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``609098
ogbasisExtend`4`n`(List(Dpol),List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``609191
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``609460
ogcdBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``609541
ogcdBasis`1`n`(Vector(R))->Vector(R)`pGcdBasis(R)``609607
ogcdDecomposition`1`n`(Vector(Fraction(R)))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``609683
ogcdDecomposition`1`n`(Vector(R))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``609852
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``610021
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``610105
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(%),SparseUnivariatePolynomial(%))->SparseUnivariatePolynomial(%)`cPolynomialFactorizationExplicit``610232
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``610351
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``610453
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``610564
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``610675
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``610754
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)``610838
ogcd`1`x`(List(%))->%`cGcdDomain``610922
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``611011
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)``611107
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`611203
ogcd`2`x`(%,%)->%`cGcdDomain``611278
ogcd`2`x`(%,%)->%`dNonNegativeInteger``611366
ogcd`2`x`(%,%)->%`dPositiveInteger``611481
ogcd`2`x`(R,%)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`611592
ogcd`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``611682
ogcd`3`n`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``611772
ogcd`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``611918
ogcd`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``612021
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``612153
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``612254
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``612358
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``612456
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)``612560
ogenVectorStream2`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``612591
ogenVectorStream`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``612653
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)``612846
ogen_ef`4`n`(F,UP,R,R)->Union(Record(result1:Fraction(UP),result2:F),"failed")`pGenerateEllipticIntegrals(F,UP,UPUP,R)``613059
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)``613138
ogeneralCoefficient`4`n`((NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D`pFractionFreeFastGaussian(D,V)``613169
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteLambertProduct(Coef,UTS)``613548
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``613723
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(VF),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussianFractions(D,V,VF)``614568
ogeneralInterpolation`5`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``615018
ogeneralLambert`3`n`(%,Integer,Integer)->%`dUnivariateFormalPowerSeries(Coef)``0
ogeneralLambert`3`n`(%,Integer,Integer)->%`dUnivariateTaylorSeries(Coef,var,cen)``615221
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``615452
ogeneralPosition`2`x`(%,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:%)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``615654
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``615838
ogeneral_Lambert_product`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``615987
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``616201
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``616302
ogeneralizedEigenvector`2`n`(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``616420
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)``616605
ogeneralizedEigenvector`4`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``616790
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``617070
ogeneralizedEigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`617350
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)`617452
ogeneralizedEigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``617578
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`617738
ogeneralizedMoebiusFunction`2`n`(List(P),(P,P)->R)->%`dGeneralizedFiniteMoebiusFunction(P,R)``617982
ogenerator`0`n`()->%`dCyclicGroup(n,g)``618067
ogenerator`0`n`()->%`dInfiniteCyclicGroup(g)``618116
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`618165
ogenerator`0`x`()->%`cMonogenicAlgebra(R,UP)``618304
ogenerator`1`n`(NonNegativeInteger)->%`dAntiSymm(R,lVar)``618369
ogenerator`1`n`(NonNegativeInteger)->%`dDeRhamComplex(CoefRing,listIndVar)``618461
ogenerator`1`x`(%)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``618547
ogenerator`1`x`(NonNegativeInteger)->%`dFreeNilpotentLie(n,class,R)``618690
ogenerator`3`x`(%,Integer,List(UP))->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``618754
ogenerators`0`n`()->List(%)`cFinitelyGenerated``619068
ogenerators`1`x`(%)->List(DPoly)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``619127
ogenerators`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``619208
ogeneric?`1`n`(%)->Boolean`dPattern(R)``619283
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`619358
ogenericLeftMinimalPolynomial`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`619692
ogenericLeftNorm`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`619837
ogenericLeftTraceForm`2`n`(%,%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`620110
ogenericLeftTrace`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`620258
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``620500
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`620646
ogenericRightMinimalPolynomial`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`620981
ogenericRightNorm`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`621131
ogenericRightTraceForm`2`n`(%,%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`621371
ogenericRightTrace`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`621524
ogeneric`0`n`()->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``621731
ogeneric`1`n`(Symbol)->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``621901
ogeneric`1`n`(Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``622068
ogeneric`1`n`(Vector(Symbol))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``622240
ogeneric`2`n`(Symbol,Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``622444
ogeneric`2`n`(Vector(Symbol),Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``622609
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``622838
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``622918
ogeometric`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``622998
ogetArr`1`n`(%)->List(List(Boolean))`cPoset(S)``623039
ogetArrowIndex`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``623194
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)``623289
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)``623360
ogetBoundValue`1`n`(%)->NonNegativeInteger`dLambda(UT)``623501
ogetCentre`1`n`(%)->PT`dSBoundary(PT)``623583
ogetChildren`1`n`(%)->List(%)`dILogic``623682
ogetChildren`1`n`(%)->List(%)`dLambda(UT)``623757
ogetChildren`1`n`(%)->List(%)`dLatticeJoinOfMeets``623879
ogetChildren`1`n`(%)->List(%)`dLatticeMeetOfJoins``623954
ogetChildren`1`n`(%)->List(%)`dSKICombinators(UT)``624029
ogetCode`1`n`(%)->List(String)`dFortranCode``624104
ogetCurve`1`n`(%)->Curve`dTubePlot(Curve)``624241
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``624385
ogetDialect`0`n`()->Symbol`dTexFormat``624644
ogetEq`1`n`(F)->F`pRecurrenceOperator(R,F)``624703
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``624824
ogetGraph`2`n`(%,PositiveInteger)->GraphImage`dTwoDimensionalViewport``624902
ogetIndexesSigned`1`n`(%)->List(Integer)`dOrientedFacet``625148
ogetIndexes`1`n`(%)->List(NonNegativeInteger)`dOrientedFacet``625209
ogetIndexs`1`n`(%)->List(Record(left:NonNegativeInteger,right:NonNegativeInteger))`dProductFacet``625240
ogetIntervals`1`n`(%)->List(Segment(Integer))`dCubicalFacet``625268
ogetMatch`2`n`(Pattern(R),%)->Union(S,"failed")`dPatternMatchResult(R,S)``625324
ogetMaxLeft`1`n`(%)->NonNegativeInteger`dProductFacet``625485
ogetMaxRight`1`n`(%)->NonNegativeInteger`dProductFacet``625519
ogetMax`1`n`(%)->PT`dSBoundary(PT)``625554
ogetMin`1`n`(%)->PT`dSBoundary(PT)``625647
ogetMult`1`n`(%)->Integer`cFacetCategory``625740
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``625774
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``625868
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``625962
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``626056
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``626233
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``626410
ogetName`1`n`(%)->String`cVarCat``626587
ogetNames`1`n`(%)->List(String)`dSceneNamedPoints(PT)``626628
ogetNotation`0`n`()->Symbol`cJetBundleCategory``626692
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)``626755
ogetPickedPoints`1`n`(%)->List(Point(DoubleFloat))`dTwoDimensionalViewport``626949
ogetRef`1`n`(%)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``627252
ogetSimplifyDenomsFlag`0`x`()->Boolean`dExpression(R)`has(R,IntegralDomain)`627368
ogetStatement`2`n`(OutputForm,Boolean)->List(String)`pFortranCodeTools``627495
ogetStream`1`n`(%)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``627544
ogetType`0`n`()->InputForm`pInputFormFunctions1(R)``627633
ogetType`1`n`(%)->ILogic`cVarCat``627706
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``627907
ogetVariable`1`n`(%)->UT`dLambda(UT)``628114
ogetVariable`1`n`(%)->UT`dSKICombinators(UT)``628224
ogetVert`1`n`(%)->List(S)`cPoset(S)``628302
ogetVertexIndex`2`n`(%,S)->NonNegativeInteger`cFiniteGraph(S)``628487
ogetVertexIndex`2`n`(A,S)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetVertices`1`n`(%)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`cFiniteGraph(S)``628579
ogetVertices`1`n`(A)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`xPoset&(A,S)``0
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``628679
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``628817
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``628946
oget_char`1`n`(MD)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``629084
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)``629176
oget_extension_degree`1`n`(MD)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``629318
oget_fort_indent`0`n`()->Integer`pFortranCodeTools``629438
oget_mod`1`n`(PMD)->MD`cModularFactorizationOperations(PA,MMT,MD,PMD)``629513
oget_rational_roots`1`n`(UP)->List(Fraction(Integer))`pPolynomialRationalRoots(F,UP)``629581
oget_rational_roots`2`n`(F,Kernel(F))->List(Fraction(Integer))`pFunctionSpaceRationalRoots(R,F)``629650
oget_used_intrinsics`0`n`()->List(String)`pFortranCodeTools``629769
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)``629834
oglb`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ognuDraw`3`x`(Expression(Float),SegmentBinding(Float),String)->Void`pGnuDraw``630061
ognuDraw`3`x`(List(DoubleFloat),List(DoubleFloat),String)->Void`pGnuDraw``630123
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String)->Void`pGnuDraw``630205
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``630275
ognuDraw`4`x`(List(DoubleFloat),List(DoubleFloat),String,List(DrawOption))->Void`pGnuDraw``630331
ognuDraw`5`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``630407
ogoodPoint`2`n`(List(UPUP),UPUP)->F`pChangeOfVariable(F,UP,UPUP)``630471
ogotoJump`1`n`(SingleInteger)->%`dFortranCode``630660
ogradeInvolution`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``630739
ograde`1`n`(%)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``630796
ograde`1`n`(%)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``630968
ograde`1`x`(%)->NonNegativeInteger`dCliffordAlgebra(n,K,bLin)``631218
ogradient`2`n`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``631338
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``631527
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``631684
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``631856
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``632020
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``632246
ographImage`0`n`()->%`dGraphImage``632677
ographState`14`n`(%,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``632862
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``633949
ographs`1`n`(%)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``634210
ographs`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``634550
ogreen`0`x`()->%`dColor``634723
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``634800
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``635097
ogroebner?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``635134
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``635229
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``635721
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``636299
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``636906
ogroebnerIdeal`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``637605
ogroebner`1`n`(List(%))->List(%)`dDistributedJetBundlePolynomial(R,JB,LJV,E)`has(R,GcdDomain)`637817
ogroebner`1`n`(List(%))->List(%)`dJetBundlePolynomial(R,JB)`has(R,GcdDomain)`637932
ogroebner`1`n`(List(Dpol))->List(Dpol)`pNGroebnerPackage(Dom,Expon,Dpol)``638059
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``638183
ogroebner`1`n`(List(P))->List(P)`pJetGroebner(R,JB,LJV,P,E)``638399
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``638506
ogroebner`1`x`(%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``638725
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``638831
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``638955
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``639410
oground?`1`n`(%)->Boolean`dJetBundleLinearFunction(JB,D)``639798
oground?`1`n`(%)->Boolean`dJetLazyFunction(JB,D)``639902
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)``639997
oground?`1`x`(%)->Boolean`cFunctionSpace(R)``640088
oground`1`n`(%)->%`dJetBundleLinearFunction(JB,D)``640158
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)``640219
oground`1`x`(%)->R`cFunctionSpace(R)``640297
ogroupPresentation`0`n`()->%`dGroupPresentation``640424
ogroupPresentation`1`n`(List(NonNegativeInteger))->%`dGroupPresentation``640487
ogroupPresentation`2`n`(List(NonNegativeInteger),List(List(Integer)))->%`dGroupPresentation``640548
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)``640595
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)))`640825
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)``641030
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)``641224
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)``641462
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)``641652
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)``641948
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)))`642221
oguessBinRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``642460
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)))`642676
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)``642915
oguessBinRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``643131
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)))`643347
oguessExpRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``643578
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)))`643771
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)``644002
oguessExpRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``644207
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)``644412
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)``644641
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)``644834
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)))`645138
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)``645340
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)``645628
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)))`645901
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)``646167
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)``646424
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)``646757
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)``647022
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)))`647304
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)``647576
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)``647822
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)))`648010
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)``648174
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)``648326
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)``648519
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)``648677
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)``648973
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)``649236
ohMonic`1`n`(Dpol)->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``649271
ohadamard`2`n`(UnivariateFormalPowerSeries(Coef),UnivariateFormalPowerSeries(Coef))->UnivariateFormalPowerSeries(Coef)`pUnivariateFormalPowerSeriesFunctions(Coef)``0
ohalfExtendedResultant1`2`n`(%,%)->Record(resultant:R,coef1:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`649333
ohalfExtendedResultant2`2`n`(%,%)->Record(resultant:R,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`649477
ohalfExtendedSubResultantGcd1`2`n`(%,%)->Record(gcd:%,coef1:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`649621
ohalfExtendedSubResultantGcd1`2`x`(%,%)->Record(gcd:%,coef1:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`649777
ohalfExtendedSubResultantGcd2`2`n`(%,%)->Record(gcd:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`649955
ohalfExtendedSubResultantGcd2`2`x`(%,%)->Record(gcd:%,coef2:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`650111
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)``650289
ohandler`3`n`(%,Integer,String)->HANDLER`dOperatorHandlers(HANDLER)``650356
ohankelDeterminant`2`n`(Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``650509
ohankelDeterminants`1`n`(%)->Stream(R)`cDistributionCategory(R)``650617
ohankelH1`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``650725
ohankelH1`2`x`(%,%)->%`cSpecialFunctionCategory``650818
ohankelH2`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``650911
ohankelH2`2`x`(%,%)->%`cSpecialFunctionCategory``651009
ohankelIndices`1`n`(XDistributedPolynomial(VAR,F))->List(FreeMonoid(VAR))`pXDistributedPolynomialFunctions(VAR,F)``651107
ohankelMatrix`1`n`(XDistributedPolynomial(VAR,F))->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``651281
ohankelMatrix`2`n`(XDistributedPolynomial(VAR,F),VAR)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``651536
ohankelSystem`1`n`(XDistributedPolynomial(VAR,F))->Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``651776
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``651954
ohas?`2`x`(%,Symbol)->Boolean`dBasicOperator``652062
ohasDimension?`1`n`(%)->Boolean`dSimpleCell(TheField,ThePols)``652143
ohasDimension?`2`n`(%,Symbol)->Boolean`dCell(TheField)``652315
ohasHi`1`x`(%)->Boolean`dUniversalSegment(S)``652460
ohasPredicate?`1`n`(%)->Boolean`dPattern(R)``652538
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``652618
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``652710
ohasTopPredicate?`1`n`(%)->Boolean`dPattern(R)``652802
ohas_op?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``652881
ohashUpdate!`2`n`(HashState,%)->HashState`cHashable``653020
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``653209
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)``653268
ohcenter`1`n`(NonNegativeInteger)->(%)->%`dOutputBox``653513
ohclf`2`n`(%,%)->%`dFreeMonoid(S)``653604
ohconcat`1`n`(List(%))->%`dOutputBox``653782
ohconcat`1`n`(List(%))->%`dOutputForm``653902
ohconcat`2`n`(%,%)->%`dOutputForm``653981
ohcrf`2`n`(%,%)->%`dFreeMonoid(S)``654065
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``654244
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``654333
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)``654421
oheadReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``654623
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``654860
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)``655027
oheadReduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``655131
oheadReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``655258
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)`655389
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(%)->%`cDoublyLinkedAggregate(S)``655634
ohead`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``655750
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``655967
oheap`1`x`(List(S))->%`dHeap(S)``656090
oheight`1`n`(%)->NonNegativeInteger`cKernelCategory(S)``656181
oheight`1`n`(%)->NonNegativeInteger`dOutputBox``656244
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``656352
oheight`1`x`(%)->NonNegativeInteger`cExpressionSpace``656459
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``656753
ohensel_update`3`n`(U32Vector,Integer,%)->Void`dVectorIntegerReconstructor``657074
ohermiteH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``657108
ohermiteH`2`x`(%,%)->%`cSpecialFunctionCategory``657166
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``657223
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``657388
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``657659
ohessian`2`n`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``657740
ohexDigit?`1`x`(%)->Boolean`dCharacter``657928
ohexDigit`0`x`()->%`dCharacterClass``658062
ohex`1`x`(Fraction(Integer))->%`dHexadecimalExpansion``658184
ohigh`1`x`(%)->S`cSegmentCategory(S)``658260
ohilbert`1`n`(List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``658352
ohitherPlane`2`x`(%,Float)->Void`dThreeDimensionalViewport``658446
ohomo_fact`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``658628
ohomogeneous?`1`n`(%)->Boolean`dAntiSymm(R,lVar)``658721
ohomogeneous?`1`n`(%)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``658811
ohomogeneous`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``658921
ohomogeneous`1`x`(Union(PositiveInteger,Boolean))->%`dGuessOption``659052
ohomology0`0`n`()->%`dHomology``659411
ohomologyGroup`2`n`(Matrix(Integer),Matrix(Integer))->%`dHomology``659472
ohomology`1`n`(%)->List(Homology)`dChainComplex``659646
ohomology`1`n`(%)->List(Homology)`dDeltaComplex(VS)``659694
ohomology`1`n`(%)->List(Homology)`dFiniteCubicalComplex(VS)``659742
ohomology`1`n`(%)->List(Homology)`dFiniteSimplicialComplex(VS)``659790
ohomology`3`n`(List(List(Integer)),List(Integer),List(List(Integer)))->%`dHomology``659954
ohomologyc2`0`n`()->%`dHomology``659982
ohomologyz`0`n`()->%`dHomology``660047
ohomologyzc2`0`n`()->%`dHomology``660111
ohomologyzz`0`n`()->%`dHomology``660178
ohorizConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`1`x`(List(%))->%`cTwoDimensionalArrayCategory(R,Row,Col)``660244
ohorizConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``660381
ohorizJoin`2`n`(%,%)->%`dSparseEchelonMatrix(C,D)``660612
ohorizSplit`2`n`(%,C)->Record(Left:%,Right:%)`dSparseEchelonMatrix(C,D)``660780
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)``660979
ohorizSplit`2`x`(%,PositiveInteger)->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``661188
ohp_solve`3`n`(List(Vector(SparseUnivariatePolynomial(Expression(Integer)))),List(NonNegativeInteger),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(Expression(Integer)))`pVectorHermitePadeSolver``661341
ohspace`1`n`(Integer)->%`dOutputForm``661459
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``661522
ohue`1`n`(Point(R))->R`pPointPackage(R)``661623
ohue`1`x`(%)->Color`dPalette``661946
ohue`1`x`(%)->Integer`dColor``662024
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``662100
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``662236
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))`662372
ohypergeometricF`3`x`(List(%),List(%),%)->%`cSpecialFunctionCategory`has(%,RetractableTo(Integer))`662461
oiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``662550
oiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``662613
oiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``662671
oiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``662734
oiCompose`2`n`(%,%)->%`dInnerSparseUnivariatePowerSeries(Coef)``662792
oiExquo`3`n`(%,%,Boolean)->Union(%,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``663009
oiLambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``663191
oid_map`1`n`(Var)->Automorphism(R)`pPartialDifferentialOperatorHelper(R,Var)``0
oid`1`x`(A)->A`pMappingPackage1(A)``663251
oidealSimplify`1`n`(%)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``663283
oideal`1`n`(Vector(A))->%`dFractionalIdeal(R,F,UP,A)``663581
oideal`1`x`(%)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``663664
oideal`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``663742
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``663847
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``664014
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``664114
oidentification`2`n`(%,%)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``664271
oidentityMatrix`1`n`(NonNegativeInteger)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`664452
oidentitySquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``664543
oidentity`0`n`()->%`dSTransform(PT)``664602
oidentity`0`x`()->%`dDenavitHartenbergMatrix(R)``664686
oiexactQuo`2`n`(R,R)->R`xPolynomialSetCategory&(S,R,E,VarSet,P)``664740
oiexactQuo`2`n`(R,R)->R`xRecursivePolynomialCategory&(S,R,E,V)``664804
oiexactQuo`2`x`(R,R)->R`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`664868
oiexactQuo`2`x`(R,R)->R`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`664932
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``664996
oiiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``665157
oiiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``665221
oiiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``665280
oiiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``665344
oiiBesselI`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``665403
oiiBesselJ`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``665463
oiiBesselK`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``665523
oiiBesselY`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``665583
oiiBeta`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``665643
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``665700
oiiHypergeometricF`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``665758
oiiPolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``665826
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``665891
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``665947
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``666003
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``666060
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``666116
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``666173
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``666229
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``666286
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``666342
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``666399
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``666455
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``666512
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``666568
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``666625
oiiconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``666683
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``666745
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``666800
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``666856
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``666911
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``666967
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``667022
oiidigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``667078
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``667138
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``667196
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``667253
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``667308
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``667365
oiim2`1`n`(R)->Expression(Integer)`pGuessPolynomialFunctions(R)``667420
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``667459
oiipolygamma`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``667516
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``667578
oiiretractVar`1`n`(Kernel(Expression(Integer)))->Polynomial(R)`pGuessPolynomialFunctions(R)``667634
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``667673
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``667728
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``667784
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``667839
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``667895
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``667951
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``668007
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``668062
oimagE`1`x`(%)->R`cOctonionCategory(R)``668118
oimagI`1`x`(%)->R`cOctonionCategory(R)``668200
oimagI`1`x`(%)->R`cQuaternionCategory(R)``668282
oimagJ`1`x`(%)->R`cOctonionCategory(R)``668366
oimagJ`1`x`(%)->R`cQuaternionCategory(R)``668448
oimagK`1`x`(%)->R`cOctonionCategory(R)``668532
oimagK`1`x`(%)->R`cQuaternionCategory(R)``668614
oimag`1`x`(%)->R`cComplexCategory(R)``668698
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``668756
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``668855
oimagi`1`x`(%)->R`cOctonionCategory(R)``668954
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->%`cComplexCategory(R)``669026
oimagj`1`x`(%)->R`cOctonionCategory(R)``669084
oimagk`1`x`(%)->R`cOctonionCategory(R)``669156
oimplies`2`n`(%,%)->%`dILogic``669228
oimplies`2`x`(%,%)->%`dBoolean``669477
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)``669573
oinBounds?`3`n`(%,%,%)->Boolean`cSPointCategory``669663
oinDegree`2`n`(%,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``669809
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)``669910
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``670017
oinR?`1`n`(%)->Boolean`dPattern(R)``670416
oinRadical?`2`x`(DPoly,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``670511
oincFail`2`n`(String,List(OutputForm))->Void`pUnittestCount``670622
oincFatal`1`n`(String)->Void`pUnittestCount``670742
oincLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``670847
oincPass`0`n`()->Void`pUnittestCount``670964
oincTest`0`n`()->Void`pUnittestCount``671042
oincXfFail`0`n`()->Void`pUnittestCount``671109
oincXfFatal`1`n`(String)->Void`pUnittestCount``671200
oincXfLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``671251
oincXfPass`2`n`(String,List(OutputForm))->Void`pUnittestCount``671311
oinc`1`x`(%)->%`cIntegerNumberSystem``671464
oincidenceAlgebra`2`n`(Matrix(R),List(S))->%`dIncidenceAlgebra(R,S)``671507
oincidenceAlgebra`2`n`(Matrix(R),OneDimensionalArray(S))->%`dIncidenceAlgebra(R,S)``671619
oincidenceMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``671731
oincidenceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``672045
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``672230
oincr`1`x`(%)->Integer`cSegmentCategory(S)``672415
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`672570
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``672700
oincrementKthElement`2`n`(%,PositiveInteger)->Union(%,"failed")`dSetOfMIntegersInOneToN(m,n)``672893
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``673081
oindentFortLevel`1`n`(Integer)->Void`pFortranCodeTools``673263
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)``673296
oindexName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``673378
oindexName`1`x`(Symbol)->%`dGuessOption``673489
oindexToObject`2`n`(%,NonNegativeInteger)->S`cPoset(S)``673628
oindexToObject`2`n`(A,NonNegativeInteger)->S`xPoset&(A,S)``0
oindex`1`n`(%)->IS`dModuleMonomial(IS,E,ff)``673671
oindex`1`n`(%)->PositiveInteger`cJetBundleCategory``673708
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``673777
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``674025
oindexes`1`n`(%)->List(List(NonNegativeInteger))`dSceneIFS(PT)``674127
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``674195
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``674353
oindices`1`n`(%)->OneDimensionalArray(S)`dIncidenceAlgebra(R,S)``674443
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)``674514
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``674611
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``674711
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``674811
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``674907
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``675003
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``675237
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``675471
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``675739
oinfLex?`4`n`(%,%,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``676007
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)``676188
oinfRittWu?`2`x`(%,%)->Boolean`cTriangularSetCategory(R,E,V,P)``676369
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``676495
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``676593
oinf`1`x`(%)->R`cIntervalCategory(R)``676691
oinf`2`x`(%,%)->%`cOrderedAbelianMonoidSup``676745
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``676851
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``676987
oinfinite?`1`x`(%)->Boolean`dOnePointCompletion(R)``677124
oinfinite?`1`x`(%)->Boolean`dOrderedCompletion(R)``677182
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``677256
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``677404
oinfinity`0`x`()->%`dOnePointCompletion(R)``677517
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``677560
oinfix?`1`n`(%)->Boolean`dOutputForm``677603
oinfix`2`n`(%,List(%))->%`dOutputForm``677713
oinfix`3`n`(%,%,%)->%`dOutputForm``677857
oinfix`4`n`(String,Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``677945
oinfix`4`n`(String,Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``678251
oinfsum`1`n`(Stream(%))->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``678557
oini_rdata`2`n`(PA,MD)->PMD`cModularFactorizationOperations(PA,MMT,MD,PMD)``678699
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``678917
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``678972
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``679033
oinitial`0`n`()->%`cFiniteGraph(S)``679226
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)``679293
oinitializeGroupForWordProblem`1`x`(%)->Void`dPermutationGroup(S)``679445
oinitializeGroupForWordProblem`3`x`(%,Integer,Integer)->Void`dPermutationGroup(S)``679885
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)``680342
oinitiallyReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``680554
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``680802
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)``681045
oinitiallyReduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``681213
oinitiallyReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``681350
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(%)->List(P)`cTriangularSetCategory(R,E,V,P)``681552
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)``681654
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``681970
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``682083
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``682209
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)``682563
oinput`1`x`(%)->Union((List(InputForm))->InputForm,"failed")`dBasicOperator``682647
oinput`2`x`(%,(List(InputForm))->InputForm)->%`dBasicOperator``682761
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``682983
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``683049
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,%)->%`cBagAggregate(S)``683146
oinsert!`2`x`(S,%)->%`dBinarySearchTree(S)``683217
oinsert!`2`x`(S,%)->%`dBinaryTournament(S)``683317
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)``683416
oinsert!`3`x`(S,%,Integer)->%`cExtensibleLinearAggregate(S)``683528
oinsert!`3`x`(S,%,NonNegativeInteger)->%`cMultiDictionary(S)``683630
oinsertBottom!`2`x`(S,%)->S`cDequeueAggregate(S)``683741
oinsertMatch`3`n`(Pattern(R),S,%)->%`dPatternMatchResult(R,S)``683871
oinsertRoot!`2`x`(S,%)->%`dBinarySearchTree(S)``684037
oinsertRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dFreeDivisionAlgebra(VAR,F)``684140
oinsertRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``684376
oinsertTop!`2`x`(S,%)->S`cDequeueAggregate(S)``684697
oinsert`2`n`(List(D),%)->%`dJetDifferentialEquation(JB,D)``684933
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)``685036
oinsert`3`x`(S,%,Integer)->%`cLinearAggregate(S)``685246
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`685437
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``685480
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(%)->S`cBagAggregate(S)``685531
ointBasis`1`n`(List(%))->%`dVectorSpaceBasis(R)``685596
ointBasis`1`n`(List(List(Vector(R))))->%`dVectorSpaceBasis(R)``685711
ointBasis`2`n`(%,%)->%`dVectorSpaceBasis(R)``685827
ointBasis`2`n`(List(Vector(R)),List(Vector(R)))->%`dVectorSpaceBasis(R)``685919
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)``686065
oint`1`n`(%)->%`dOutputForm``686105
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``686191
oint`2`n`(%,%)->%`dOutputForm``686303
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``686419
oint`3`n`(%,%,%)->%`dOutputForm``686504
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``686661
ointeg_df`2`n`(UPS,UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``686702
ointeg`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``686757
ointeger?`1`n`(%)->Boolean`dFortranScalarType``686809
ointeger?`1`n`(OutputForm)->Boolean`pOutputFormTools``686901
ointeger?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``686992
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``687075
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``687169
ointegerBound`1`n`(UP)->Integer`pPolynomialRationalRoots(F,UP)``687315
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``687461
ointegerPart`1`n`(%)->NonNegativeInteger`dSmallOrdinal``687565
ointeger`1`n`(OutputForm)->Integer`pOutputFormTools``687673
ointeger`1`x`(%)->Int`cSExpressionCategory(Str,Sym,Int,Flt)``687789
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``687913
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``688007
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(%)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``688074
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)``688149
ointegral?`2`x`(%,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``688241
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(%)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``688336
ointegralBasisAtInfinity`0`x`()->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``688424
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``688510
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``689368
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``690226
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``691076
ointegralBasis`0`x`()->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``691934
ointegralCoordinates`1`x`(%)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``692006
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``692217
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``692562
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``692678
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``692907
ointegralRepresents`2`x`(Vector(UP),UP)->%`cFunctionFieldCategory(F,UP,UPUP)``693132
ointegral`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``693304
ointegral`2`n`(F,F)->%`dIntegrationResult(F)``693518
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``693614
ointegral`2`n`(F,Symbol)->%`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`693746
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``693842
ointegral`2`x`(%,SegmentBinding(%))->%`cPrimitiveFunctionCategory``693931
ointegral`2`x`(%,Symbol)->%`cPrimitiveFunctionCategory``694072
ointegrateIfCan`2`n`(%,PositiveInteger)->Union(%,"failed")`cJetBundleCategory``694154
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)``694279
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)``694361
ointegrate`1`n`(%)->%`cUnivariateSeriesWithRationalExponents(Coef,Expon)`has(Coef,Algebra(Fraction(Integer)))`694809
ointegrate`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`694998
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``695181
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`x`(%)->%`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`695250
ointegrate`2`n`(%,PositiveInteger)->%`cJetBundleCategory``695367
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))))`695498
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)))`695631
ointegrate`2`n`(%,Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`695820
ointegrate`2`n`(%,Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`696009
ointegrate`2`n`(%,Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`696203
ointegrate`2`n`(%,Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`696392
ointegrate`2`n`(%,Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`696581
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`696775
ointegrate`2`n`(Coef,Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``697039
ointegrate`2`n`(S,PositiveInteger)->S`xJetBundleCategory&(S)``0
ointegrate`2`x`(%,Symbol)->%`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`697144
ointegrate`2`x`(%,Var)->%`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`697308
ointegrate`2`x`(%,Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`697538
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``697727
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``697891
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)``698006
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)``698170
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`698334
ointegrate`2`x`(UPS,Distribution(R))->S`pDistributionPolynomialPackage(R,S,UPS)``698449
ointegrate`3`n`(%,Var,Coef)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`698580
ointegrate`3`x`(%,Symbol,Coef)->%`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`698736
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``698892
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)``699293
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)``699694
ointegt`1`n`(UTS)->UTS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``700095
ointensity`2`x`(%,Float)->Void`dThreeDimensionalViewport``700148
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``700346
ointernal?`1`n`(%)->Boolean`dSubSpace(n,R)``700644
ointernalAugment`2`x`(List(P),%)->%`cRegularTriangularSetCategory(R,E,V,P)``700685
ointernalAugment`2`x`(P,%)->%`cRegularTriangularSetCategory(R,E,V,P)``700850
ointernalAugment`7`x`(P,%,Boolean,Boolean,Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``700962
ointernalAugment`7`x`(P,%,Boolean,Boolean,Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``701092
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)``701222
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``701328
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``701434
ointernalIntegrate`2`n`(FG,Symbol)->IntegrationResult(FG)`pFunctionSpaceComplexIntegrationAux(G,FG)``701517
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``701643
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``701769
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``701854
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``701973
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``702107
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``702346
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``702585
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``702846
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``703102
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``703220
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``703338
ointerpolate`3`n`(List(D),List(D),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``703388
ointerpolate`3`n`(List(Fraction(D)),List(Fraction(D)),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``703775
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``703954
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpretString`1`n`(String)->Any`pTemplateUtilities``704009
ointerpret`1`n`(%)->Any`dInputForm``704120
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``704183
ointersect`1`x`(List(%))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``704307
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)``704394
ointersect`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``704665
ointersect`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``704760
ointersect`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``704938
ointersect`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``705045
ointersect`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``705126
ointersection`1`n`(List(%))->%`dSBoundary(PT)``705209
ointerval`1`x`(Fraction(Integer))->%`cIntervalCategory(R)``705375
ointerval`1`x`(R)->%`cIntervalCategory(R)``705441
ointerval`2`n`(NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``705507
ointerval`2`x`(R,R)->%`cIntervalCategory(R)``705595
ointoMatrix`2`x`(List(P),List(OV))->Record(mat:Matrix(Fraction(P)),vec:Vector(Fraction(P)))`pLinearSystemPolynomialPackage(R,E,OV,P)``705738
oinv`1`n`(%)->%`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``705860
oinv`1`n`(%)->%`dModularRing(R,Mod,reduction,merge,exactQuo)``705895
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)``705930
oinv`1`x`(%)->%`cDivisionRing``706002
oinv`1`x`(%)->%`cGroup``706095
oinv`1`x`(%)->%`cOctonionCategory(R)`has(R,Field)`706149
oinv`1`x`(%)->%`dEquation(S)`has(S,Field)`706216
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``706285
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``706991
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``707227
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``707456
oinverse_cyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicUtilities``707666
oinverse`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``707796
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``707850
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``707918
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``708080
oinverse`1`x`(%)->Union(%,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`708300
oinverse`1`x`(%)->Union(%,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`708462
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`708594
oinvertALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``708747
oinvertIfCan`1`x`(%)->Union(%,"failed")`dMatrix(R)`has(R,IntegralDomain)`708874
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`709040
oinvertMIN`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``709115
oinvertSTD`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``709295
oinvertible?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``709451
oinvertible?`2`x`(P,%)->List(Record(val:Boolean,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``709573
oinvertibleElseSplit?`2`x`(P,%)->Union(Boolean,List(%))`cRegularTriangularSetCategory(R,E,V,P)``709794
oinvertibleSet`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``709991
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(%,%)->%`cIntegerNumberSystem``710171
oinvmultisect`3`n`(Integer,Integer,%)->%`dUnivariateFormalPowerSeries(Coef)``0
oinvmultisect`3`n`(Integer,Integer,%)->%`dUnivariateTaylorSeries(Coef,var,cen)``710264
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``710396
oiomode`1`x`(%)->String`cFileCategory(Name,S)``710513
oiota`0`n`()->Symbol`pMathematicalSymbols``710659
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``710724
oiprint`1`n`(String)->Void`pInternalPrintPackage``710779
oirootDep`1`x`(Kernel(F))->Union(vec:Vector(Fraction(Integer)),func:F,fail:Boolean)`pElementaryFunctionStructurePackage(R,F)``710858
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`710939
oirreducible?`1`n`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``711002
oirreducible?`1`n`(UP)->Boolean`pUnivariateFiniteFieldFactorize(F,UP)``711086
oirreducible?`2`n`(PA,MD)->Boolean`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``711150
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)``711314
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`711477
oirreducibleRepresentation`1`x`(List(Integer))->List(Matrix(Integer))`pIrrRepSymNatPackage``711749
oirreducibleRepresentation`2`x`(List(Integer),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``712104
oirreducibleRepresentation`2`x`(List(Integer),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``712330
ois?`2`n`(%,BasicOperator)->Boolean`cKernelCategory(S)``712608
ois?`2`n`(%,Symbol)->Boolean`cKernelCategory(S)``712676
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`x`(%,BasicOperator)->Boolean`cExpressionSpace``712757
ois?`2`x`(%,Symbol)->Boolean`cExpressionSpace``712841
ois?`2`x`(%,Symbol)->Boolean`dBasicOperator``712942
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``713013
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``713140
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`713232
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`713368
oisAcyclic?`1`n`(%)->Boolean`cFiniteGraph(S)``713858
oisAcyclic?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisAntiChain?`1`n`(%)->Boolean`cPoset(S)``713928
oisAntisymmetric?`1`n`(%)->Boolean`cPoset(S)``714032
oisAntisymmetric?`1`n`(A)->Boolean`xPoset&(A,S)``0
oisBasis?`1`n`(List(Vector(R)))->Boolean`dVectorSpaceBasis(R)``714173
oisBoundNode?`1`n`(%)->Boolean`dLambda(UT)``714251
oisBox?`1`n`(%)->Boolean`dSBoundary(PT)``714322
oisChain?`1`n`(%)->Boolean`cPoset(S)``714401
oisCompound?`1`n`(%)->Boolean`dLambda(UT)``714503
oisDirectSuccessor?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``714593
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)``714758
oisDirected?`0`n`()->Boolean`xFiniteGraph&(A,S)``714878
oisDirected?`0`n`()->Boolean`xPoset&(A,S)``0
oisEllipse?`1`n`(%)->Boolean`dSBoundary(PT)``714998
oisExpt`1`n`(%)->Union(Record(val:%,exponent:NonNegativeInteger),"failed")`dPattern(R)``715079
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``715191
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)`715298
oisExpt`1`x`(%)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`715383
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)`715496
oisExpt`2`x`(%,Symbol)->Union(Record(var:Kernel(%),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`715608
oisFixPoint?`2`n`(%,NonNegativeInteger)->Boolean`cFiniteGraph(S)``715718
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)``715797
oisFunctional?`1`n`(%)->Boolean`cFiniteGraph(S)``715870
oisFunctional?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisGreaterThan?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``716033
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)``716235
oisK?`1`n`(%)->Boolean`dSKICombinators(UT)``716301
oisLambda?`1`n`(%)->Boolean`dLambda(UT)``716366
oisList`1`n`(%)->Union(List(%),"failed")`dPattern(R)``716439
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)`716551
oisNodeBranch?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``716638
oisNodeLeaf?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``716710
oisNull?`1`n`(%)->Boolean`dSBoundary(PT)``716802
oisOp`1`n`(%)->Union(Record(op:BasicOperator,arg:List(%)),"failed")`dPattern(R)``716897
oisOp`2`n`(%,BasicOperator)->Union(List(%),"failed")`dPattern(R)``717021
oisPlus`1`n`(%)->Union(List(%),"failed")`dPattern(R)``717143
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``717286
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)`717418
oisPlus`1`x`(%)->Union(List(%),"failed")`cPolynomialCategory(R,E,VarSet)``717519
oisPoint?`1`n`(%)->Boolean`cSPointCategory``717675
oisPointLeaf?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``717772
oisPower`1`n`(%)->Union(Record(val:%,exponent:%),"failed")`dPattern(R)``717893
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``717989
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)`718097
oisQuotient`1`n`(%)->Union(Record(num:%,den:%),"failed")`dPattern(R)``718183
oisS?`1`n`(%)->Boolean`dSKICombinators(UT)``718282
oisSubsetOf?`2`n`(%,%)->Boolean`dOrientedFacet``718347
oisTimes`1`n`(%)->Union(List(%),"failed")`dPattern(R)``718473
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``718603
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)`718725
oisTimes`1`x`(%)->Union(List(%),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`718825
oisVector?`1`n`(%)->Boolean`cSPointCategory``719124
ois_symbol?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``719219
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(%)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``719333
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``719516
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``719593
ojacobi2poly`2`n`(Stream(R),Stream(R))->Stream(SparseUnivariatePolynomial(R))`pMomentPackage(R)``719745
ojacobiCn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``719892
ojacobiCn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``720063
ojacobiCn`2`x`(%,%)->%`cSpecialFunctionCategory``720180
ojacobiCn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``720351
ojacobiCn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``720415
ojacobiDn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``720479
ojacobiDn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``720652
ojacobiDn`2`x`(%,%)->%`cSpecialFunctionCategory``720769
ojacobiDn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``720942
ojacobiDn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``721006
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``721070
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``721280
ojacobiMatrix`1`n`(%)->List(SparseEchelonMatrix(JB,D))`dJetDifferentialEquation(JB,D)``721490
ojacobiMatrix`1`n`(List(%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``721593
ojacobiMatrix`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`2`n`(List(%),List(List(JB)))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``721693
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)``721922
ojacobiP`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``721988
ojacobiParameters`1`n`(%)->Record(an:Stream(Fraction(R)),bn:Stream(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`722053
ojacobiParameters`1`n`(%)->Record(an:Stream(R),bn:Stream(R))`cDistributionCategory(R)`has(R,Field)`722166
ojacobiPathArray`2`n`(Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``722279
ojacobiSn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``722457
ojacobiSn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``722601
ojacobiSn`2`x`(%,%)->%`cSpecialFunctionCategory``722718
ojacobiSn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``722862
ojacobiSn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``722926
ojacobiTheta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``722990
ojacobiTheta`2`x`(%,%)->%`cSpecialFunctionCategory``723073
ojacobiZeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``723156
ojacobiZeta`2`x`(%,%)->%`cSpecialFunctionCategory``723358
ojacobiZeta`2`x`(Float,Float)->Float`pFloatEllipticFunctions``723560
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``723621
ojacobian`2`n`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``723905
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``724104
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``724192
ojetVariables`1`n`(%)->List(JB)`cJetBundleFunctionCategory(JB)``724429
ojoinIfCan`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``724538
ojoinIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``724611
ojoinIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoin`1`n`(List(%))->%`dLatticeJoinOfMeets``724840
ojoin`1`n`(List(%))->%`dLatticeMeetOfJoins``724878
ojoin`2`n`(%,%)->%`dJetDifferentialEquation(JB,D)``724916
ojoin`2`n`(%,%)->%`dOrientedFacet``725017
ojoin`2`n`(%,%)->%`dSparseEchelonMatrix(C,D)``725164
ojoin`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cDcpo(S)``725246
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``725403
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``725695
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``725987
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``726347
okappa`0`n`()->Symbol`pMathematicalSymbols``726707
okaratsubaDivide`2`x`(%,NonNegativeInteger)->Record(quotient:%,remainder:%)`cUnivariatePolynomialCategory(R)`has(R,Ring)`726774
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``726874
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``727043
okelvinBei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``727402
okelvinBei`2`x`(%,%)->%`cSpecialFunctionCategory``727582
okelvinBer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``727760
okelvinBer`2`x`(%,%)->%`cSpecialFunctionCategory``727938
okelvinKei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``728116
okelvinKei`2`x`(%,%)->%`cSpecialFunctionCategory``728311
okelvinKer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``728506
okelvinKer`2`x`(%,%)->%`cSpecialFunctionCategory``728701
okernel`1`n`(Symbol)->%`cKernelCategory(S)``728896
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
okernel`2`x`(BasicOperator,%)->%`cExpressionSpace``728957
okernel`2`x`(BasicOperator,List(%))->%`cExpressionSpace``729041
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->%`cKernelCategory(S)``729148
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``729349
okernels`1`x`(List(%))->List(Kernel(%))`cExpressionSpace``729515
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,%)->Boolean`cKeyedDictionary(Key,Entry)``729713
okey`1`n`(%)->Integer`dGraphImage``729786
okey`1`n`(%)->Integer`dTwoDimensionalViewport``729917
okey`1`x`(%)->Integer`dThreeDimensionalViewport``730075
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(%)->List(Key)`cKeyedDictionary(Key,Entry)``730237
okgraph`2`n`(List(S),String)->%`cFiniteGraph(S)``730303
okgraph`2`n`(List(S),String)->A`xPoset&(A,S)``0
okleinBottle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``730622
okleinBottle`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``730662
okleinBottle`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``730730
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``730804
oknownHandler?`3`n`(%,Integer,String)->Boolean`dOperatorHandlers(HANDLER)``730891
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``731210
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``731257
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``731581
okprod`1`x`(List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``732015
okprod`1`x`(List(Float))->Float`pFloatEllipticFunctions``732036
okroneckerDelta`0`x`()->%`dCartesianTensor(minix,dim,R)``732057
okroneckerProduct`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`732252
okroneckerProduct`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`732457
okroneckerSum`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)``732624
okroneckerSum`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)``732758
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)``732854
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``732894
okummerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``733016
okummerM`3`x`(%,%,%)->%`cSpecialFunctionCategory``733084
okummerU`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``733154
okummerU`3`x`(%,%,%)->%`cSpecialFunctionCategory``733222
olSpaceBasis`1`n`(%)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``733292
olabel`2`n`(%,%)->%`dOutputForm``733401
olagrange`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
olagrange`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``733477
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``733631
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``733761
olaguerreL`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``733935
olaguerreL`3`x`(%,%,%)->%`cSpecialFunctionCategory``734000
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``734064
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``734215
olambda`0`n`()->Symbol`pMathematicalSymbols``734495
olambda`1`n`(NonNegativeInteger)->%`dLambda(UT)``734564
olambda`1`n`(UT)->%`dLambda(UT)``734638
olambda`2`n`(%,%)->%`dLambda(UT)``734687
olambda`2`n`(%,List(Symbol))->%`dInputForm``734738
olambda`2`n`(%,UT)->%`dLambda(UT)``734921
olambertW0`1`n`(UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``734997
olambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``735093
olambertW`1`x`(%)->%`cSpecialFunctionCategory``735165
olambertW`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``735276
olambertW`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``735336
olambertW`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``735396
olambertW`1`x`(Float)->Float`pFloatSpecialFunctions``735456
olambert_inverse_series`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``735516
olambert_inverse_series`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``735536
olambert_inverse_series`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``735556
olambert_inverse_series`2`x`(Float,Float)->Float`pFloatSpecialFunctions``735576
olambert_via_newton1`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``735596
olambert_via_newton1`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``735616
olambert_via_newton1`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``735636
olambert_via_newton1`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``735656
olambert_via_newton2`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``735676
olambert_via_newton2`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``735696
olambert_via_newton2`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``735716
olambert_via_newton2`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``735736
olambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
olambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``735756
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``736123
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)``736432
olanden1`2`x`(Complex(Float),List(Complex(Float)))->List(Complex(Float))`pFloatEllipticFunctions``736782
olanden1`2`x`(Float,List(Float))->List(Float)`pFloatEllipticFunctions``736803
olanden2`3`x`(Complex(Float),List(Complex(Float)),Float)->List(Complex(Float))`pFloatEllipticFunctions``736824
olanden2`3`x`(Float,List(Float),Float)->List(Float)`pFloatEllipticFunctions``736845
olanden`2`x`(Complex(Float),Float)->List(Complex(Float))`pFloatEllipticFunctions``736866
olanden`2`x`(Float,Float)->List(Float)`pFloatEllipticFunctions``736887
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``736908
olaplacianMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``737180
olaplacianMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
olaplacian`2`n`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``737731
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`737876
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``738046
olastSubResultantElseSplit`3`x`(P,P,%)->Union(P,List(%))`cRegularTriangularSetCategory(R,E,V,P)``738208
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``738567
olastSubResultant`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`738723
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``738927
olastSubResultant`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`739031
olastSubResultant`3`x`(P,P,%)->List(Record(val:P,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``739268
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)``739960
olast`1`x`(%)->S`cUnaryRecursiveAggregate(S)``740075
olast`1`x`(%)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``740187
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)``740338
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(%)->String`cSetCategory``740478
olatticeJoinOfMeets`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->%`dLatticeJoinOfMeets``740562
olatticeMeetOfJoins`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->%`dLatticeMeetOfJoins``740606
olaurentIfCan`1`x`(%)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``740650
olaurentRep`1`x`(%)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``740805
olaurent`1`x`(%)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``740940
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``741073
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``741256
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)``741326
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``741441
olaurent`2`x`(Integer,Stream(Coef))->%`cUnivariateLaurentSeriesCategory(Coef)``741686
olaurent`2`x`(Integer,UTS)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``741873
olaurent`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``741933
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)``742132
olaurent`4`n`((Integer)->R,Symbol,R,UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries1(R)``742306
olaurent`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`742507
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)``742700
olazyEvaluate`1`x`(%)->%`cLazyStreamAggregate(S)``742868
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`743145
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`743225
olazyIntegrate`2`n`(Coef,()->Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``743322
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`743431
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``743859
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``743999
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)``744149
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)``744293
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``744452
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``744677
olazyPseudoDivide`2`n`(%,%)->Record(coef:R,gap:NonNegativeInteger,quotient:%,remainder:%)`dNewSparseUnivariatePolynomial(R)``744961
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)``745191
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)``745400
olazyPseudoQuotient`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``745634
olazyPseudoRemainder`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``745761
olazyResidueClass`2`n`(%,%)->Record(polnum:%,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``746001
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)``746290
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`746529
olc`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``746659
olcmCoef`2`n`(%,%)->Record(llcm_res:%,coeff1:%,coeff2:%)`cLeftOreRing``746697
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``746910
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(%,%)->%`cGcdDomain``747003
olcm`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``747089
olcx0`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->Record(lcx0lc:SparseMultivariatePolynomial(Integer,Symbol),lcx0m:SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``747221
olcz`2`n`(SparseMultivariatePolynomial(Integer,Symbol),Symbol)->Record(lczlc:SparseMultivariatePolynomial(Integer,Symbol),k:Integer)`pPrimGCD``747489
oldegree`2`n`(PT,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``747602
oldivide`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Record(quotient:XDistributedPolynomial(vl,F),remainder:XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``747883
ole`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cPreorder(S)``748146
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)``748356
oleadingBasisTerm`1`n`(%)->%`dAntiSymm(R,lVar)``748530
oleadingBasisTerm`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``748633
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``748731
oleadingCoefficient`1`n`(%)->A`cIndexedProductCategory(A,S)`has(S,Comparable)`749089
oleadingCoefficient`1`n`(%)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``749272
oleadingCoefficient`1`n`(%)->R`cSolvableSkewPolynomialCategory(R,Expon)``749373
oleadingCoefficient`1`n`(%)->R`dAntiSymm(R,lVar)``749473
oleadingCoefficient`1`n`(%)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``749579
oleadingCoefficient`1`n`(%)->R`dLaurentPolynomial(R,UP)``749629
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)``749676
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(%,V)->%`cRecursivePolynomialCategory(R,E,V)``749773
oleadingDer`1`n`(%)->JB`cJetBundleFunctionCategory(JB)``749926
oleadingDer`1`n`(S)->JB`xJetBundleFunctionCategory&(S,JB)``0
oleadingExponent`1`n`(%)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``750061
oleadingIdeal`1`x`(%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``750108
oleadingIndex`1`n`(%)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``750221
oleadingMonomial`1`n`(%)->%`cIndexedProductCategory(A,S)`has(S,Comparable)`750265
oleadingMonomial`1`n`(%)->%`cSolvableSkewPolynomialCategory(R,Expon)``750400
oleadingMonomial`1`n`(%)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``750491
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)``750538
oleadingSupport`1`n`(%)->S`cIndexedProductCategory(A,S)`has(S,Comparable)`750621
oleadingSupport`1`n`(A)->S`xFreeModuleCategory&(A,R,S)``0
oleadingTerm`1`n`(%)->Record(k:S,c:A)`cIndexedProductCategory(A,S)`has(S,Comparable)`750790
oleaf?`1`n`(%)->Boolean`dSubSpace(n,R)``750943
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)``750980
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``751041
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``751296
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``751570
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)``751689
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``751763
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``751989
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``752215
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``752373
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``752743
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)``753113
oleftDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`753426
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`753634
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(%,%)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`753889
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)`754016
oleftFactorIfCan`2`x`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``754137
oleftFactor`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``754377
oleftFamily`1`n`(%)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``754530
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`754591
oleftIdentity`1`n`(%)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``754830
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`754894
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`755096
oleftMinimization`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``755330
oleftMult`2`n`(S,%)->%`dListMonoidOps(S,E,un)``755508
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``755636
oleftOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Group)`755734
oleftOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Monoid)`755791
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``755848
oleftPower`2`x`(%,PositiveInteger)->%`cMagma``756042
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`756236
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`756430
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``756526
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`756765
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``757004
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)`757170
oleftRecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``757390
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(%)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``757579
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)``757751
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`758055
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``758250
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``758446
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``758730
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)``759014
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``759228
oleftTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oleftTrim`2`x`(%,CharacterClass)->%`cStringAggregate``759321
oleftTrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`759501
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`759669
oleftUnits`0`n`()->Union(Record(particular:%,basis:List(%)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``759794
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)`759917
oleftZero`1`x`(%)->%`dEquation(S)`has(S,AbelianGroup)`760041
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)``760098
oleft`1`n`(%)->%`dFreeMagma(VarSet)``760474
oleft`1`n`(%)->%`dLyndonWord(VarSet)``760604
oleft`1`n`(%)->%`dOutputForm``760735
oleft`1`x`(%)->%`cBinaryRecursiveAggregate(S)``760802
oleft`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``760848
oleft`2`n`(%,Integer)->%`dOutputForm``760921
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`761009
olegendreP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``761178
olegendreP`3`x`(%,%,%)->%`cSpecialFunctionCategory``761252
olegendreQ`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``761326
olegendreQ`3`x`(%,%,%)->%`cSpecialFunctionCategory``761400
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``761474
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``761750
olength`1`n`(%)->NonNegativeInteger`dFreeMonoid(S)``762106
olength`1`n`(%)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``762162
olength`1`n`(%)->PositiveInteger`dFreeMagma(VarSet)``762254
olength`1`n`(%)->PositiveInteger`dLyndonWord(VarSet)``762321
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``762388
olength`1`x`(%)->%`cIntegerNumberSystem``762499
olength`1`x`(%)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`762553
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``762664
olerchPhi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``762698
olerchPhi`3`x`(%,%,%)->%`cSpecialFunctionCategory``762761
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)``762824
oless?`2`x`(%,NonNegativeInteger)->Boolean`cAggregate``762928
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``763007
olevel`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``763211
oleviCivitaSymbol`0`x`()->%`dCartesianTensor(minix,dim,R)``763348
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``763582
olexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``763771
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``764401
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``764778
olexico`2`n`(%,%)->Boolean`dFreeMagma(VarSet)``764845
olexico`2`n`(%,%)->Boolean`dFreeMonoid(S)`has(S,OrderedSet)`765148
olexico`2`n`(%,%)->Boolean`dLyndonWord(VarSet)``765318
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``765488
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``765653
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``765726
olhs`1`n`(%)->S1`dSuchThat(S1,S2)``765953
olhs`1`x`(%)->F`dRewriteRule(Base,R,F)``766008
olhs`1`x`(%)->S`dEquation(S)``766078
oli2`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``766152
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)``766199
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``766266
oli`1`x`(%)->%`cLiouvillianFunctionCategory``766326
oli`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``766455
oli`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oli`1`x`(Float)->Float`pFloatLiouvilianFunctions``766515
olibrary`1`x`(FileName)->%`dLibrary``766575
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``766629
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``766836
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``767043
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``767373
olie`2`n`(%,%)->%`dJetVectorField(JB,D)``767703
olie`2`n`(JetVectorField(JB,D),%)->%`dJetDifferential(JB,D)``767841
olift`1`n`(%)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``767937
olift`1`n`(%)->Rep`dModMonic(R,Rep)``768029
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`x`(%)->UP`cMonogenicAlgebra(R,UP)``768085
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``768187
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)``768228
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)``768263
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)`768791
olight`1`x`(Color)->%`dPalette``769094
olighting`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``769186
olimitPart`1`n`(%)->%`dSmallOrdinal``769456
olimitPlus`1`n`(%)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``769600
olimitPlus`1`n`(%)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``769675
olimit`2`n`(%,NonNegativeInteger)->Loop`dFunctionGraph(S)``769752
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)``769893
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)``769980
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)``770107
olimit`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Loop`dMultifunctionGraph(S)``770234
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``770375
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``770578
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``770849
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``770887
olin_comb!`3`n`(Vector(F),Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``771034
olin_comb`2`n`(Vector(F),List(F))->F`pLinearCombinationUtilities(F,UP)``771297
olin_comb`2`n`(Vector(F),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``771512
olin_comb`2`n`(Vector(F),List(LaurentPolynomial(F,UP)))->LaurentPolynomial(F,UP)`pLinearCombinationUtilities(F,UP)``771727
olin_comb`2`n`(Vector(F),List(UP))->UP`pLinearCombinationUtilities(F,UP)``771942
olin_comb`2`n`(Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``772157
olin_comb`2`n`(Vector(Fraction(Integer)),List(F))->F`pLinearCombinationUtilities(F,UP)``772381
olin_comb`2`n`(Vector(Fraction(Integer)),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``772596
olin_sol`2`n`(List(F),List(Symbol))->Union(List(F),"failed")`pExpressionLinearSolve(R,F)``772811
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``772964
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``773068
olineIntersect`2`n`(%,PT)->PT`dSBoundary(PT)``773194
oline`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``773455
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``773509
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(%,SparseUnivariatePolynomial(F))->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`773636
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(%)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`774311
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)`774465
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(%)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`774705
olinearDependenceOverConstants`2`n`(Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``774861
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``775119
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``775366
olinearExtend`2`n`((List(B))->M2,TensorPower(n,R,B,M1))->M2`pTensorPowerFunctions2(n,R,B,M1,M2)``775602
olinearExtend`2`x`((S)->M2,M1)->M2`pFreeModuleFunctions2(R,S,M1,M2)``775755
olinearExtend`2`x`((S)->R,%)->R`cFreeModuleCategory(R,S)`has(R,CommutativeRing)`775896
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``776024
olinearSearch`2`n`(S,(S)->Boolean)->Union(S,"failed")`pSortedCache(S)``776192
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``776441
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``776479
olinearization`1`n`(%)->Matrix(%)`dFreeDivisionAlgebra(VAR,F)``776522
olinearization`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``776678
olinearize`1`n`(List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta))))->List(JetBundleLinearFunction(JetBundleSymAna(JB1,xi,eta),JetBundleXExpression(JetBundleSymAna(JB1,xi,eta))))`pSymmetryAnalysis(JB1,xi,eta)``776756
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``776891
olinearlyDependentOverConstants?`2`n`(Vector(F),List((F)->F))->Boolean`pConstantLinearDependence(R,F)``777053
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``777235
olines`1`n`(%)->List(String)`dOutputBox``777406
olink`2`n`(%,%)->List(PT)`dSBoundary(PT)``777526
olink`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``777770
olink`2`n`(NonNegativeInteger,NonNegativeInteger)->%`dDeltaComplex(VS)``777899
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``777941
olist?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``778016
olistBranches`1`x`(%)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``778097
olistBranches`1`x`(%)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``778213
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)``778329
olistLoops`1`n`(%)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``778581
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)``778698
olistOfLists`1`x`(%)->List(List(R))`cTwoDimensionalArrayCategory(R,Row,Col)``778787
olistOfLists`1`x`(%)->List(List(S))`dTableau(S)``778875
olistOfMonoms`1`n`(%)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``778951
olistOfTerms`1`n`(%)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``779033
olistOfTerms`1`n`(%)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``779132
olistOfTerms`1`x`(%)->List(Record(k:S,c:A))`cIndexedDirectProductCategory(A,S)``779210
olistRepresentation`1`x`(%)->Record(preimage:List(S),image:List(S))`dPermutation(S)``779436
olistYoungTableaus`1`x`(List(Integer))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``779804
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->%`cListAggregate(S)``780273
olists`1`n`(%)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``780337
olllip`1`x`(%)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``780406
olllp`1`x`(%)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``780676
ollprop`1`x`(%)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``780934
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``781190
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``781391
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``781592
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``782479
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``783372
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``784257
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``785150
olog10`0`x`()->%`dFloat``785210
olog10`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``785278
olog10`1`x`(%)->%`dDoubleFloat``785356
olog10`1`x`(%)->%`dFloat``785429
olog1`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``785500
olog2`0`x`()->%`dFloat``785706
olog2`1`x`(%)->%`dDoubleFloat``785792
olog2`1`x`(%)->%`dFloat``785863
ologDependenceQ`2`n`(List(Fraction(Integer)),Fraction(Integer))->Union(Vector(Fraction(Integer)),"failed")`pMultiplicativeDependence``785932
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
ologGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``786093
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ologGamma`1`x`(Float)->Float`pFloatSpecialFunctions``786158
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``786223
olog_plus_1`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatElementaryFunctions``786310
olog`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``786385
olog`1`n`(%)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``786452
olog`1`n`(F)->F`pElementaryFunction(R,F)``786508
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``786572
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)``786728
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``786786
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``786844
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``786915
olog`1`x`(%)->%`cElementaryFunctionCategory``786988
olog`2`n`(%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`787231
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``787325
ologextint`3`n`(Symbol,List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer))))`pParametricIntegration(R,F)``787414
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)``787613
ologicF`0`n`()->%`dILogic``787851
ologicF`0`n`()->%`dLatticeJoinOfMeets``787910
ologicF`0`n`()->%`dLatticeMeetOfJoins``787977
ologicT`0`n`()->%`dILogic``788044
ologicT`0`n`()->%`dLatticeJoinOfMeets``788086
ologicT`0`n`()->%`dLatticeMeetOfJoins``788129
ological?`1`n`(%)->Boolean`dFortranScalarType``788172
ologpart`1`n`(%)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``788264
olommelS1`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``788344
olommelS1`3`x`(%,%,%)->%`cSpecialFunctionCategory``788415
olommelS2`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``788486
olommelS2`3`x`(%,%,%)->%`cSpecialFunctionCategory``788557
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)``788628
olookup`1`x`(%)->PositiveInteger`cFinite``788701
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``788789
oloop`1`n`(List(NonNegativeInteger))->%`dLoop``789265
oloopsArrows`1`n`(%)->List(Loop)`cFiniteGraph(S)``789342
oloopsArrows`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsAtNode`2`n`(%,NonNegativeInteger)->List(Loop)`cFiniteGraph(S)``789701
oloopsAtNode`2`n`(A,NonNegativeInteger)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsNodes`1`n`(%)->List(Loop)`cFiniteGraph(S)``789809
oloopsNodes`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
olooseEquals`2`n`(%,%)->Boolean`cFiniteGraph(S)``789969
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)``790365
olowerCase!`1`x`(%)->%`cStringAggregate``790454
olowerCase?`1`x`(%)->Boolean`dCharacter``790558
olowerCase`0`x`()->%`dCharacterClass``790669
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(%)->%`cStringAggregate``790793
olowerCase`1`x`(%)->%`dCharacter``790874
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``791045
olowerSet`1`n`(%)->%`cPoset(S)``791197
olp`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``791339
olprop`1`x`(%)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``791635
olquo`2`n`(%,%)->Union(%,"failed")`dFreeMonoid(S)``791837
olquo`2`n`(%,S)->Union(%,"failed")`dFreeMonoid(S)``792031
olquo`2`x`(%,%)->%`cXFreeAlgebra(vl,R)``792115
olquo`2`x`(%,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``792199
olquo`2`x`(%,vl)->%`cXFreeAlgebra(vl,R)``792292
olquo`2`x`(XRecursivePolynomial(VarSet,R),%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``792389
olub`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``792473
olub`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
olyndon?`1`n`(FreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``792684
olyndonIfCan`1`n`(FreeMonoid(VarSet))->Union(%,"failed")`dLyndonWord(VarSet)``792744
olyndon`1`n`(FreeMonoid(VarSet))->%`dLyndonWord(VarSet)``792810
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`cJetBundleCategory``792913
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`xJetBundleCategory&(S)``792984
om_inverse`4`n`(Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Integer)->Union(Polynomial(Integer),"failed")`dModularAlgebraicGcdTools3``793055
omainCharacterization`1`x`(%)->Union(RightOpenIntervalRootCharacterization(%,SparseUnivariatePolynomial(%)),"failed")`dRealClosure(TheField)``793173
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``793267
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`793548
omainDefiningPolynomial`1`x`(%)->Union(SparseUnivariatePolynomial(%),"failed")`cRealClosedField``793757
omainForm`1`x`(%)->Union(OutputForm,"failed")`cRealClosedField``793868
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``793942
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``794112
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``794315
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`794583
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`794805
omainValue`1`x`(%)->Union(SparseUnivariatePolynomial(%),"failed")`cRealClosedField``795030
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``795137
omainVariableOf`1`n`(%)->Symbol`dCell(TheField)``795261
omainVariable`1`n`(%)->Union(VarSet,"failed")`cMaybeSkewPolynomialCategory(R,E,VarSet)``795327
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``795527
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``795686
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(%)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``795845
omakeCell`1`n`(List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField))))->%`dCell(TheField)``795989
omakeCell`2`n`(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)),%)->%`dCell(TheField)``796067
omakeCos`2`x`(E,R)->%`dFourierSeries(R,E)``796193
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``796282
omakeDisjoint`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``796319
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``796445
omakeFEq`6`n`(BasicOperator,Symbol,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``796565
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger))))->Factored(UP)`pGaloisGroupFactorizer(UP)``796884
omakeFR`2`x`(R,List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger)))->%`dFactored(R)``796991
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``797090
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``797352
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->%`dGraphImage``797680
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->%`dGraphImage``797918
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->%`dGraphImage``798375
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->%`dListMonoidOps(S,E,un)``798895
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``798979
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``799263
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``799547
omakeObject`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``799868
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``800100
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``800453
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``800730
omakeObject`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``801031
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``801270
omakeObject`3`x`(ParametricComplexCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``801610
omakeObject`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``801708
omakeObject`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``801985
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``802272
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``802625
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``803045
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``803417
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``803850
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``804226
omakeObject`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``804615
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``804826
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``805257
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``805717
omakeRec`5`n`(BasicOperator,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``806249
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``806750
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->%`dPatternMatchListResult(R,S,L)``806940
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(%)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``807027
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->%`dInnerSparseUnivariatePowerSeries(Coef)``807154
omakeSin`2`x`(E,R)->%`dFourierSeries(R,E)``807275
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->%`dPlaneAlgebraicCurvePlot``807364
omakeSystem`1`n`(List(D))->%`dJetDifferentialEquation(JB,D)``808265
omakeTerm`2`n`(S,E)->%`dListMonoidOps(S,E,un)``808342
omakeUnit`0`n`()->%`dListMonoidOps(S,E,un)``808477
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)`808544
omakeVariable`1`x`(S)->(NonNegativeInteger)->%`cDifferentialPolynomialCategory(R,S,V,E)``808872
omakeVariable`2`x`(S,NonNegativeInteger)->%`cDifferentialVariableCategory(S)``809195
omakeViewport2D`1`n`(%)->%`dTwoDimensionalViewport``809337
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->%`dTwoDimensionalViewport``809559
omakeViewport3D`1`x`(%)->%`dThreeDimensionalViewport``809909
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->%`dThreeDimensionalViewport``810135
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->%`dThreeDimensionalViewport``810471
omakeYoungTableau`2`x`(List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``810716
omake_imaginary_part_function`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``811000
omake_real_part_function`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``811279
omakeop`2`n`(R,FreeGroup(BasicOperator))->%`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->%`dModuleOperator(R,M)``811553
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``811606
omantissa`1`n`(%)->Integer`dMachineFloat``811694
omantissa`1`x`(%)->Integer`cFloatingPointSystem``811753
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)``811818
omap!`2`x`((S)->S,%)->%`cHomogeneousAggregate(S)`has(%,shallowlyMutable)`811914
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``812014
omapContra`5`n`(%,List(NonNegativeInteger),List(S),Integer,Integer)->%`cFiniteGraph(S)``812128
omapContra`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omapDown!`3`x`(%,S,(S,S)->S)->%`dBalancedBinaryTree(S)``812260
omapDown!`3`x`(%,S,(S,S,S)->List(S))->%`dBalancedBinaryTree(S)``812704
omapExpon`2`n`((E)->E,%)->%`dListMonoidOps(S,E,un)``813302
omapExpon`2`n`((Integer)->Integer,%)->%`dFreeGroup(S)``813389
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,%)->%`dFreeMonoid(S)``813476
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,%)->%`cFiniteAbelianMonoidRing(R,E)``813563
omapGen`2`n`((S)->S,%)->%`dFreeGroup(S)``813692
omapGen`2`n`((S)->S,%)->%`dFreeMonoid(S)``813777
omapGen`2`n`((S)->S,%)->%`dListMonoidOps(S,E,un)``813862
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``813947
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``814119
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``814285
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``814390
omapUp!`2`x`(%,(S,S)->S)->S`dBalancedBinaryTree(S)``814495
omapUp!`3`x`(%,%,(S,S,S,S)->S)->%`dBalancedBinaryTree(S)``814820
omap_preserving`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``815295
omap`2`n`((A)->A,%)->%`cIndexedProductCategory(A,S)``815484
omap`2`n`((A)->B,MA)->MB`pTwoDimensionalArrayFunctions(A,RA,CA,MA,B,RB,CB,MB)``815634
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)``815774
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)``815883
omap`2`n`((R)->R,%)->%`dAntiSymm(R,lVar)``815925
omap`2`n`((R)->R,%)->%`dXPolynomialRing(R,E)``816020
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)``816119
omap`2`n`((R1)->R2,A1)->A2`pFiniteAbelianMonoidRingFunctions2(E,R1,A1,R2,A2)``816254
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``816378
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)``816474
omap`2`x`((%)->%,Kernel(%))->%`cExpressionSpace``816514
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``816619
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``816761
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``816881
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``816977
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``817161
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``817348
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``817510
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``817685
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``817792
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``818009
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``818151
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``818312
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``818352
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``818392
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``818432
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``818554
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``818663
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``818772
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``818814
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``818923
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)``818964
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``819006
omap`2`x`((R)->R,%)->%`cFullyEvalableOver(R)``819048
omap`2`x`((R)->R,%)->%`cRectangularMatrixCategory(m,n,R,Row,Col)``819143
omap`2`x`((R)->R,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``819254
omap`2`x`((R)->R,%)->%`cXFreeAlgebra(vl,R)``819360
omap`2`x`((R)->R,%)->%`dFactored(R)``819459
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``819736
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``819835
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``820029
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``820112
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``820199
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``820474
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``820654
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``820745
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``820861
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``821034
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``821074
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``821363
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``821487
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``821634
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`821727
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``821958
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``822028
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``822107
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``822242
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`822377
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``822468
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``822575
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``822657
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``822699
omap`2`x`((R1)->R2,M1)->M2`pFreeModuleCoefficientFunctions2(R1,R2,S,M1,M2)``822741
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``822830
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``822926
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``823022
omap`2`x`((R1)->R2,Sequence(R1))->Sequence(R2)`pSequenceFunctions2(R1,R2)``823062
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``823142
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``823238
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``823401
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``823563
omap`2`x`((S)->S,%)->%`cHomogeneousAggregate(S)``823655
omap`2`x`((S)->S,%)->%`dEquation(S)``823826
omap`2`x`((S)->S,%)->%`dInfiniteTuple(S)``823923
omap`2`x`((S)->S,%)->L`cSegmentExpansionCategory(S,L)``824006
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``824231
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)``824360
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)``824501
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``824810
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``824855
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``824900
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``825337
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``825382
omap`3`x`((Entry,Entry)->Entry,%,%)->%`cTableAggregate(Key,Entry)``825655
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``825904
omap`3`x`((R,R)->R,%,%)->%`cRectangularMatrixCategory(m,n,R,Row,Col)``826025
omap`3`x`((R,R)->R,%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``826179
omap`3`x`((S,S)->S,%,%)->%`cLinearAggregate(S)``826303
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)``826513
omap`4`x`((R,R)->R,%,%,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``826687
omap`5`n`(%,List(NonNegativeInteger),List(S),Integer,Integer)->%`cFiniteGraph(S)``827049
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)``827451
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`827546
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``827644
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(%)->%`cIntegerNumberSystem``827743
omatch?`3`x`(%,%,Character)->Boolean`cStringAggregate``827810
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``828001
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``828407
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``828782
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``829146
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``829524
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``829918
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``830297
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``830389
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``830632
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``830724
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``830964
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``831056
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``831297
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``831389
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``831630
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``831722
omatrixConcat3D`3`n`(Symbol,%,%)->%`dThreeDimensionalMatrix(R)``831963
omatrixDimensions`1`n`(%)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``832065
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``832134
omatrix`1`n`(%)->Matrix(R)`dIncidenceAlgebra(R,S)``832313
omatrix`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``832393
omatrix`1`n`(List(List(%)))->%`dOutputForm``832460
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`x`(%)->SquareMatrix(n,K)`dQuadraticForm(n,K)``832570
omatrix`1`x`(List(List(R)))->%`cMatrixCategory(R,Row,Col)``832654
omatrix`1`x`(List(List(R)))->%`cRectangularMatrixCategory(m,n,R,Row,Col)``832800
omatrix`2`n`(%,FreeMonoid(VAR))->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``832946
omatrix`2`n`(%,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``833055
omatrix`2`n`(String,String)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``833139
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)``833305
omaxColIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``833427
omaxColIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``833519
omaxDegree`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``833609
omaxDegree`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``833666
omaxDerivative`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``834013
omaxDerivative`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``834078
omaxIndex`1`n`(%)->NonNegativeInteger`dFiniteCubicalComplex(VS)``834245
omaxIndex`1`n`(%)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``834276
omaxIndex`1`n`(%)->NonNegativeInteger`dOrientedFacet``834307
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)`834336
omaxLevel`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``834525
omaxLevel`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``834580
omaxMixedDegree`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``834780
omaxMixedDegree`1`x`(NonNegativeInteger)->%`dGuessOption``834847
omaxPoints3D`0`n`()->Integer`dPlot3D``835186
omaxPoints`0`n`()->Integer`dPlot``835262
omaxPoints`0`x`()->Integer`pGraphicsDefaults``835335
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``835409
omaxPower`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``835480
omaxPower`1`x`(Union(PositiveInteger,"arbitrary"))->%`dGuessOption``835535
omaxPrecedence`0`n`()->Integer`cFormatterCategory``835836
omaxPrecedence`0`n`()->Integer`xFormatterCategory&(S)``835906
omaxRowIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``835976
omaxRowIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``836065
omaxShift`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``836152
omaxShift`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``836207
omaxSubst`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``836346
omaxSubst`1`x`(Union(PositiveInteger,"arbitrary"))->%`dGuessOption``836401
omax`0`x`()->%`cFloatingPointSystem`AND(not(has(%,arbitraryExponent)),not(has(%,arbitraryPrecision)))`836761
omax`0`x`()->%`dSingleInteger``836824
omax`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``836880
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))`837065
omax`1`x`(%)->S`cPriorityQueueAggregate(S)``837151
omax`2`n`(%,%)->%`cSPointCategory``837228
omax`2`n`(%,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``837505
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``837709
omax`2`x`((S,S)->Boolean,%)->S`cHomogeneousAggregate(S)`has(%,finiteAggregate)`837803
omaxdeg`1`n`(%)->E`dXPolynomialRing(R,E)``837944
omaxdeg`1`x`(%)->FreeMonoid(vl)`cXPolynomialsCat(vl,R)``838102
omaximumExponent`0`n`()->Integer`dMachineFloat``838188
omaximumExponent`1`n`(Integer)->Integer`dMachineFloat``838262
omaxint`0`n`()->PositiveInteger`dMachineInteger``838346
omaxint`1`n`(PositiveInteger)->PositiveInteger`dMachineInteger``838410
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)``838484
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)``838566
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(%)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``838649
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`838846
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`839873
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`840279
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`840463
omedialSet`1`x`(List(P))->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``841525
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``841632
omeetIfCan`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``842193
omeetIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``842266
omeetIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeet`1`n`(List(%))->%`dLatticeJoinOfMeets``842495
omeet`1`n`(List(%))->%`dLatticeMeetOfJoins``842533
omeet`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cCoDcpo(S)``842571
omeijerG`5`n`(List(F),List(F),List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`842730
omeijerG`5`x`(List(%),List(%),List(%),List(%),%)->%`cSpecialFunctionCategory`has(%,RetractableTo(Integer))`842804
omeixnerM`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``842878
omeixnerM`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``842946
omember?`2`n`(PositiveInteger,%)->Boolean`dSetOfMIntegersInOneToN(m,n)``843013
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)``843117
omember?`2`x`(Permutation(S),%)->Boolean`dPermutationGroup(S)``843216
omember?`2`x`(S,%)->Boolean`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`843338
omembers`1`n`(%)->List(P)`dFiniteMoebiusFunction(P)``843568
omembers`1`n`(%)->List(P)`dGeneralizedFiniteMoebiusFunction(P,R)``843631
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`x`(%)->List(S)`cHomogeneousAggregate(S)`has(%,finiteAggregate)`843694
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)`843866
omerge!`2`x`(%,%)->%`cPriorityQueueAggregate(S)``843958
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)``844087
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)``844190
omergeFactors`2`x`(%,%)->%`dFactored(R)``844375
omerge_exponents`5`n`(Integer,Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->List(List(Integer))`pInnerModularHermitePade``0
omerge`1`n`(List(%))->%`dSubSpace(n,R)``844698
omerge`1`x`(List(%))->%`cThreeSpaceCategory(R)``844777
omerge`2`n`(%,%)->%`cFiniteGraph(S)``844971
omerge`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``845164
omerge`2`n`(%,%)->%`dSubSpace(n,R)``845212
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))`845304
omerge`2`x`(%,%)->%`cPriorityQueueAggregate(S)``845431
omerge`2`x`(%,%)->%`cThreeSpaceCategory(R)``845562
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)`845740
omesh?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``846346
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``846560
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``846625
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``846694
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``846754
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``846820
omesh`1`x`(%)->List(List(Point(R)))`cThreeSpaceCategory(R)``846895
omesh`1`x`(List(List(Point(R))))->%`cThreeSpaceCategory(R)``847157
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``847384
omesh`4`x`(%,List(List(List(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``848120
omesh`4`x`(%,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->%`cThreeSpaceCategory(R)``849031
omesh`4`x`(%,List(List(Point(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``849585
omesh`4`x`(%,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->%`cThreeSpaceCategory(R)``850356
omessagePrint`1`n`(String)->Void`dOutputForm``850730
omessage`1`n`(String)->%`dOutputForm``850870
omfactor`2`n`(PA,MD)->List(PA)`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``850955
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)``851167
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``851238
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``851315
omightHaveRoots`2`x`(ThePolDom,%)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``851420
ominColIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``851496
ominColIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``851589
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``851680
ominIndex`1`n`(%)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``851718
ominIndex`1`n`(%)->NonNegativeInteger`dOrientedFacet``851749
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)`851778
ominPoints3D`0`n`()->Integer`dPlot3D``851965
ominPoints`0`n`()->Integer`dPlot``852041
ominPoints`0`x`()->Integer`pGraphicsDefaults``852114
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``852188
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``852259
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``852294
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`852329
ominPoly`1`x`(Kernel(%))->SparseUnivariatePolynomial(%)`cExpressionSpace`has(%,Ring)`852399
ominPrecedence`0`n`()->Integer`cFormatterCategory``852468
ominPrecedence`0`n`()->Integer`xFormatterCategory&(S)``852536
ominRowIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``852604
ominRowIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``852694
ominShift`1`n`(List(T))->List(T)`pListPackage(T)`has(T,OrderedSet)`852782
omin`0`x`()->%`cFloatingPointSystem`AND(not(has(%,arbitraryExponent)),not(has(%,arbitraryPrecision)))`852883
omin`0`x`()->%`dSingleInteger``852946
omin`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``853003
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))`853181
omin`1`x`(%)->S`cOrderedMultisetAggregate(S)``853267
omin`2`n`(%,%)->%`cSPointCategory``853351
omin`2`n`(%,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``853630
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``853827
omindegTerm`1`x`(%)->Record(k:FreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``853921
omindeg`1`n`(%)->E`dXPolynomialRing(R,E)``853998
omindeg`1`x`(%)->FreeMonoid(vl)`cXFreeAlgebra(vl,R)``854156
ominimal?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``854252
ominimalMatrix`2`n`(Matrix(F),NonNegativeInteger)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``854320
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)``854448
ominimalPolynomial`1`x`(%)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`854566
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(%,PositiveInteger)->SparseUnivariatePolynomial(%)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`854645
ominimalRepresentation`1`n`(XDistributedPolynomial(VAR,F))->Record(alpha:Matrix(F),mu:List(Matrix(F)),var:List(VAR),beta:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``854805
ominimize`1`n`(%)->%`dFractionalIdeal(R,F,UP,A)``855023
ominimize`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``855099
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(%)->E`cFiniteAbelianMonoidRing(R,E)``855274
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)``855397
ominimumDegree`2`x`(%,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``855555
ominimumExponent`0`n`()->Integer`dMachineFloat``855728
ominimumExponent`1`n`(Integer)->Integer`dMachineFloat``855802
ominordet`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`855886
ominordet`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`856010
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``856098
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)``856222
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``856304
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``856453
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``856605
ominusInfinity`0`x`()->%`dOrderedCompletion(R)``856810
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``856859
omirror`1`n`(%)->%`dFreeMagma(VarSet)``856912
omirror`1`n`(%)->%`dFreeMonoid(S)``857124
omirror`1`n`(%)->%`dLieExponentials(VarSet,R,Order)``857187
omirror`1`x`(%)->%`cFreeLieAlgebra(VarSet,R)``857269
omirror`1`x`(%)->%`cXFreeAlgebra(vl,R)``857365
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``857465
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->%`dIntegrationResult(F)``857500
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``857661
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`857928
omk_erf`2`n`(F,F)->F`pElementaryRischDEX(R,F)``858049
omkcomm`1`x`(Integer)->%`dCommutator``858110
omkcomm`2`x`(%,%)->%`dCommutator``858150
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``858195
omod_exp`3`n`(PA,Integer,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``858241
omodifyPointData`3`x`(%,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``858335
omodifyPointData`3`x`(%,NonNegativeInteger,Point(R))->%`cThreeSpaceCategory(R)``858604
omodifyPoint`3`n`(%,List(NonNegativeInteger),NonNegativeInteger)->%`dSubSpace(n,R)``858842
omodifyPoint`3`n`(%,List(NonNegativeInteger),Point(R))->%`dSubSpace(n,R)``859343
omodifyPoint`3`n`(%,NonNegativeInteger,Point(R))->%`dSubSpace(n,R)``859812
omodpeval`4`n`(Polynomial(Integer),List(Symbol),List(Integer),Integer)->Integer`pPolynomialEvaluationUtilities``860129
omodpreduction`2`n`(Fraction(Polynomial(Integer)),Integer)->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``860284
omodpreduction`2`n`(MP,Integer)->Union(MP,"failed")`cModularEvaluationCategory(PT,MP)``860380
omodpreduction`2`n`(Polynomial(Integer),Integer)->Polynomial(Integer)`pPolynomialEvaluationUtilities``860470
omodularFactor`2`n`(UP,Set(NonNegativeInteger))->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``860561
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``861102
omodularInvariantJ`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``861237
omodular_compose`5`n`(PA,MMT,PA,NonNegativeInteger,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``861482
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)``861703
omodule`1`n`(FractionalIdeal(R,F,UP,A))->%`dFractionalIdealAsModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`862602
omodule`1`n`(Vector(A))->%`dFractionalIdealAsModule(R,F,UP,A,ibasis)``862678
omoduloP`1`x`(%)->Integer`cPAdicIntegerCategory(p)``862784
omodulus`0`n`()->Rep`dModMonic(R,Rep)``862847
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``862896
omodulus`1`n`(%)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``862951
omodulus`1`n`(%)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``862990
omodulus`1`n`(%)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``863029
omoebiusBand`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``863068
omoebiusBand`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``863194
omoebiusFunction`1`n`(List(P))->%`dFiniteMoebiusFunction(P)``863326
omoebiusMatrix`1`n`(%)->Matrix(Integer)`dFiniteMoebiusFunction(P)``863410
omoebiusMatrix`1`n`(%)->Matrix(R)`dGeneralizedFiniteMoebiusFunction(P,R)``863468
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``863525
omoebiusMu`3`n`(%,P,P)->Integer`dFiniteMoebiusFunction(P)``863802
omoebius`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``863887
omoebius`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
omoebius`4`n`(F,F,F,F)->%`dMoebiusTransform(F)``864115
omoment2Stransform`1`n`(Sequence(R))->Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R))`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`864201
omoment2booleanCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``864329
omoment2cumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``864452
omoment2freeCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``864570
omoment2jacobi2`1`n`(Sequence(R))->Stream(Record(an:R,bn:R))`pMomentPackage(R)`has(R,Field)`864687
omoment2jacobi`1`n`(Sequence(R))->Record(an:Stream(R),bn:Stream(R))`pMomentPackage(R)`has(R,Field)`864793
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``864876
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`864992
omoment2nthJacobi`1`n`(List(R))->Record(an:List(R),bn:List(R))`pMomentPackage(R)`has(R,Field)`865108
omoment`2`n`(%,NonNegativeInteger)->R`cDistributionCategory(R)``865237
omoments`1`n`(%)->Sequence(R)`cDistributionCategory(R)``865326
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``865412
omonic?`1`x`(%)->Boolean`cRecursivePolynomialCategory(R,E,V)``865515
omonicCompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``865696
omonicDecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``865929
omonicDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariatePolynomialCategory(R)`has(R,Ring)`866071
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)`866262
omonicLeftDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`866513
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`866750
omonicModulo`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``867034
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``867211
omonicRightDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`867340
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`867579
omonicRightFactorIfCan`2`x`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``867865
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)``868127
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``868203
omonomial1`1`n`(MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``868294
omonomial?`1`n`(%)->Boolean`cIndexedProductCategory(A,S)``868371
omonomial?`1`n`(%)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``868512
omonomial?`1`n`(%)->Boolean`dLaurentPolynomial(R,UP)``868579
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``868620
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``868693
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``868857
omonomial`2`n`(A,S)->%`cIndexedProductCategory(A,S)``869079
omonomial`2`n`(R,E)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Expon)->%`cSolvableSkewPolynomialCategory(R,Expon)``869190
omonomial`2`n`(R,Integer)->%`dLaurentPolynomial(R,UP)``869288
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``869333
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(K,List(PositiveInteger))->%`dCliffordAlgebra(n,K,bLin)``869378
omonomial`2`x`(R,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``869491
omonomial`3`n`(%,List(VarSet),List(NonNegativeInteger))->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``869592
omonomial`3`n`(%,VarSet,NonNegativeInteger)->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``869672
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)``869838
omonomial`3`x`(%,Var,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``869958
omonomials`1`n`(%)->List(%)`cMaybeSkewPolynomialCategory(R,E,VarSet)``870016
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)``870200
omonotoneConvolution`2`n`(%,%)->%`cDistributionCategory(R)``870285
omonotoneCumulant2momentPoly`1`n`(Sequence(R))->Sequence(SparseUnivariatePolynomial(R))`pMomentPackage(R)``870403
omonotoneCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``870568
omonotoneCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)`has(R,Algebra(Fraction(Integer)))`870693
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)`870801
omore?`2`x`(%,NonNegativeInteger)->Boolean`cAggregate``871010
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``871089
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``871362
omorphism`1`n`((R)->R)->%`dAutomorphism(R)``871635
omorphism`1`n`((R,Integer)->R)->%`dAutomorphism(R)``871716
omorphism`2`n`((R)->R,(R)->R)->%`dAutomorphism(R)``871799
omotzkinPathArray`3`n`(Stream(R),Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``871927
omove`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``872121
omove`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``872373
omovedPoints`1`x`(%)->Set(S)`dPermutation(S)``872629
omovedPoints`1`x`(%)->Set(S)`dPermutationGroup(S)``872719
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``872797
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)``872981
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``873156
omrv_limit1`2`n`(Expression(Integer),Symbol)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``873179
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``873215
omrv_limit`3`n`(Expression(Integer),Equation(Expression(Integer)),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``873302
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``873449
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``873530
omrv_limit`4`n`(Expression(Integer),Symbol,Expression(Integer),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``873552
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``873654
omrv_rewrite0`4`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Expression(Integer))->Expression(Integer)`pMrvLimitPackage``873762
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``873789
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``873804
omrv_sign`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Integer,"failed")`pMrvLimitPackage``0
omu`0`n`()->Symbol`pMathematicalSymbols``873834
omul_by_binomial`3`n`(U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``873895
omul_by_binomial`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``874087
omul_by_scalar`3`n`(PrimitiveArray(K),Integer,K)->Void`dModularFactorizationTools3(K)``0
omul_by_scalar`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``874328
omul`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``874502
omulmod`3`x`(%,%,%)->%`cIntegerNumberSystem``874536
omultMonom`3`n`(R,E,%)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``874621
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``874672
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(%),%)->Union(List(%),"failed")`cEuclideanDomain``874729
omultiIndex`1`n`(%)->List(NonNegativeInteger)`cJetBundleCategory``874952
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)``875036
omultifunctionGraph`1`n`(List(Permutation(S)))->%`dMultifunctionGraph(S)``875087
omultifunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:List(NonNegativeInteger),map:List(List(NonNegativeInteger)))))->%`dMultifunctionGraph(S)``875139
omultifunctionGraph`1`n`(List(S))->%`dMultifunctionGraph(S)``875243
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)``875515
omultifunctionGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dMultifunctionGraph(S)``875630
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``875700
omultiple?`1`n`(%)->Boolean`dPattern(R)``875821
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``875966
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``876272
omultiplicative?`2`n`(%,PositiveInteger)->Boolean`dDirichletRing(Coef)``876542
omultiplyALS`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``876659
omultiplyCoefficients`2`n`((Integer)->Coef,%)->%`dInnerSparseUnivariatePowerSeries(Coef)``876804
omultiplyCoefficients`2`x`((Integer)->Coef,%)->%`cUnivariateLaurentSeriesCategory(Coef)``876974
omultiplyCoefficients`2`x`((Integer)->Coef,%)->%`cUnivariateTaylorSeriesCategory(Coef)``877191
omultiplyColumn!`3`n`(%,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``877416
omultiplyColumn!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``877524
omultiplyExponents`2`x`(%,Fraction(Integer))->%`cUnivariatePuiseuxSeriesCategory(Coef)``877610
omultiplyExponents`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)``877746
omultiplyExponents`2`x`(%,PositiveInteger)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``877917
omultiplyMIN`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``878045
omultiplyRow!`3`n`(%,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``878135
omultiplyRow!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``878237
omultisect`3`n`(Integer,Integer,%)->%`dUnivariateFormalPowerSeries(Coef)``0
omultisect`3`n`(Integer,Integer,%)->%`dUnivariateTaylorSeries(Coef,var,cen)``878316
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``878463
omultiset`0`x`()->%`dMultiset(S)``878585
omultiset`1`x`(List(S))->%`dMultiset(S)``878666
omultiset`1`x`(S)->%`dMultiset(S)``878742
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``878812
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``878915
omultivariate`2`x`(SparseUnivariatePolynomial(%),VarSet)->%`cPolynomialCategory(R,E,VarSet)``879018
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->%`cPolynomialCategory(R,E,VarSet)``879153
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``879288
omultivector`1`x`(List(K))->%`dCliffordAlgebra(n,K,bLin)``879342
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``879423
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``879524
omutable?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``879663
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)``879732
omvar`1`x`(%)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``879923
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``880075
omy_digamma`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``880114
omy_root3`1`n`(F)->F`pRootUtilities(R,F)``880171
omy_sqrt`1`n`(F)->F`pRootUtilities(R,F)``880229
onaiveBeckermannLabahn0`8`n`(Vector(U32Vector),Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->Void`pNaiveBeckermannLabahnModular``880286
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``880313
onaiveBeckermannLabahnMultipoint`4`n`(Vector(U32Vector),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``880877
onaiveBeckermannLabahn`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``881441
onaiveBeckermannLabahn`4`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``881984
oname`1`n`(%)->Symbol`cJetBundleCategory``882527
oname`1`n`(%)->Symbol`cKernelCategory(S)``882597
oname`1`n`(%)->Symbol`dFunctionCalled(f)``882661
oname`1`n`(%)->Symbol`dRuleCalled(f)``882702
oname`1`x`(%)->%`dSymbol``882743
oname`1`x`(%)->Name`cFileCategory(Name,S)``882803
oname`1`x`(%)->String`cFileNameCategory``882873
oname`1`x`(%)->Symbol`dBasicOperator``882935
onamedBranch`2`n`(List(%),List(String))->%`dSceneNamedPoints(PT)``882989
onamedPoints`2`n`(List(PT),List(String))->%`dSceneNamedPoints(PT)``883071
onamedPoints`2`n`(List(Scene(PT)),List(String))->%`dSceneNamedPoints(PT)``883146
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(%,%)->%`cBitAggregate``883220
onand`2`x`(%,%)->%`dBoolean``883319
onary?`1`x`(%)->Boolean`dBasicOperator``883401
onaryPlus`4`n`(String,String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``883465
onaryPlus`4`n`(String,String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``884102
onary`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``884739
onary`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``885009
oncDetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``885279
oncDetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``885443
oncDetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``885607
oncols`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``885806
oncols`1`n`(%)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``885860
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``885937
oncols`1`x`(%)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``886014
onegative?`1`n`(S)->Boolean`xOrderedRing&(S)``0
onegative?`1`x`(%)->Boolean`cIntervalCategory(R)``886089
onegative?`1`x`(%)->Boolean`cOrderedRing``886204
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``886279
onelem`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``886379
onewFortranTempVar`0`n`()->Symbol`pFortranCodeTools``886434
onewGreek`0`n`()->Symbol`pMathematicalSymbols``886538
onewLine`0`x`()->String`pDisplayPackage``886594
onewReduc`1`n`(Integer)->Void`pFunctionSpaceReduce(R,F)``886654
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``886771
onewTypeLists`1`n`(%)->SExpression`dSymbolTable``886878
onew`0`n`()->%`dFormatter(F)``886922
onew`0`n`()->%`dHashState``887159
onew`0`n`()->%`dOperatorHandlers(HANDLER)``887203
onew`0`n`()->%`dPatternMatchListResult(R,S,L)``887263
onew`0`n`()->%`dPatternMatchResult(R,S)``887317
onew`0`n`()->%`dSubSpace(n,R)``887371
onew`0`n`()->%`dSubSpaceComponentProperty``887405
onew`0`n`()->%`dTexFormat``887439
onew`0`x`()->%`dSymbol``887610
onew`1`n`(F)->%`dFreeDivisionAlgebra(VAR,F)``887678
onew`1`x`(%)->%`dSymbol``887727
onew`2`n`(FreeMonoid(VAR),F)->%`dFreeDivisionAlgebra(VAR,F)``887804
onew`2`n`(LinearMultivariateMatrixPencil(F),List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``887883
onew`2`n`(List(C),Integer)->%`dSparseEchelonMatrix(C,D)``888020
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->%`cLinearAggregate(S)``888208
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``888310
onew`3`x`(String,String,String)->%`cFileNameCategory``888408
onewline`0`x`()->%`dCharacter``888726
onewton`1`n`(List(F))->SparseUnivariatePolynomial(F)`pNewtonInterpolation(F)``888782
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``889144
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``889483
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``889827
onextLatticePermutation`3`x`(List(Integer),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``889914
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``890347
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``890676
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``891092
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``891490
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``891888
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``891972
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``892388
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``892723
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``892819
onext_sousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``893856
onext_subResultant2`4`x`(%,%,%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`894010
onext`1`x`(%)->%`cDoublyLinkedAggregate(S)``894228
onilFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``894424
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`894579
onlexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``894888
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``895485
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``895585
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)`895828
onodeFromArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``895960
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)``896087
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)``896209
onodeToArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``896306
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)``896432
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)``896553
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)``896683
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``896764
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``896804
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`896933
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``897062
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``897163
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(%,%)->%`cBitAggregate``897264
onor`2`x`(%,%)->%`dBoolean``897361
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``897441
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``897482
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``897525
onorm`1`n`(%)->F`dFractionalIdeal(R,F,UP,A)``897625
onorm`1`n`(%)->F`dFractionalIdealAsModule(R,F,UP,A,ibasis)``897687
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)``897750
onorm`1`x`(%)->%`cRealNumberSystem``897881
onorm`1`x`(%)->R`cComplexCategory(R)``897938
onorm`1`x`(%)->R`cFiniteRankAlgebra(R,UP)``897999
onorm`1`x`(%)->R`cOctonionCategory(R)``898114
onorm`1`x`(%)->R`cQuaternionCategory(R)``898224
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``898320
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``898438
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``898520
onorm`2`x`(%,Kernel(%))->%`dAlgebraicNumber``898617
onorm`2`x`(%,List(Kernel(%)))->%`dAlgebraicNumber``898754
onorm`2`x`(%,PositiveInteger)->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`898892
onorm`2`x`(SparseUnivariatePolynomial(%),Kernel(%))->SparseUnivariatePolynomial(%)`dAlgebraicNumber``899256
onorm`2`x`(SparseUnivariatePolynomial(%),List(Kernel(%)))->SparseUnivariatePolynomial(%)`dAlgebraicNumber``899387
onormal01`0`n`()->Float`pRandomFloatDistributions``899519
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``899558
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``899723
onormal?`1`x`(%)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`899821
onormalALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``900104
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``900180
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``900315
onormalElement`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`900417
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``900855
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,Dpol)`has(Dom,Field)`900965
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``901141
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``901389
onormalisePoint`1`n`(%)->%`dSConformal(n)``901432
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``901525
onormalize!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``901690
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(%))->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``901941
onormalizeDIAG!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``902013
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``902147
onormalizePLS!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``902255
onormalizeRHS!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``902446
onormalize`1`x`(%)->%`dFloat``902594
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``902663
onormalize`1`x`(List(F))->List(F)`pElementaryFunctionStructurePackage(R,F)``902783
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``902841
onormalize`2`x`(List(F),List(Symbol))->List(F)`pElementaryFunctionStructurePackage(R,F)``902912
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``903259
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``903350
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)``903527
onormalized?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``903695
onormalized?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``903820
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``904014
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``904299
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`904502
onot`1`n`(%)->%`dOutputForm``904705
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`x`(%)->%`cBitAggregate``904761
onot`1`x`(%)->%`dBoolean``904839
onot`1`x`(%)->%`dSingleInteger``904893
onotelem`1`n`(%)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``904987
onothing`0`n`()->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``905070
onothing`0`n`()->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``905226
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)``905382
onrows`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``905958
onrows`1`n`(%)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``906009
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``906083
onrows`1`x`(%)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``906157
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)``906229
onthExpon`2`n`(%,Integer)->E`dListMonoidOps(S,E,un)``906267
onthExpon`2`n`(%,Integer)->Integer`dFreeGroup(S)``906353
onthExpon`2`n`(%,Integer)->NonNegativeInteger`dFreeMonoid(S)``906439
onthFactor`2`n`(%,Integer)->S`dFreeGroup(S)``906525
onthFactor`2`n`(%,Integer)->S`dFreeMonoid(S)``906610
onthFactor`2`n`(%,Integer)->S`dListMonoidOps(S,E,un)``906695
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``906780
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``906894
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(%,Integer)->%`cRadicalCategory``907205
onthRoot`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``907276
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``907674
onu`0`n`()->Symbol`pMathematicalSymbols``907733
onull?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``907794
onullBoundary`0`n`()->%`dSBoundary(PT)``907875
onullSpaceOverConstants`2`n`(Matrix(F),List((F)->F))->List(Vector(F))`pConstantLinearDependence(R,F)``908000
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,shallowlyMutable)`908144
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,shallowlyMutable)`908230
onullSpace`1`n`(Matrix(R))->%`dVectorSpaceBasis(R)``908316
onullSpace`1`x`(%)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`908541
onullSpace`1`x`(%)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`908627
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`908714
onullary?`1`x`(%)->Boolean`dBasicOperator``908800
onullary`1`x`(A)->()->A`pMappingPackage1(A)``908858
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``908942
onullity`1`x`(%)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`909075
onullity`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`909208
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`909341
onumDepVar`0`n`()->PositiveInteger`cJetBundleCategory``909474
onumDepVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumDepVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumFunEvals3D`0`n`()->Integer`dPlot3D``909541
onumFunEvals`0`n`()->Integer`dPlot``909610
onumIndVar`0`n`()->PositiveInteger`cJetBundleCategory``909676
onumIndVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumIndVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumber?`1`x`(%)->Boolean`dExpression(R)`has(R,IntegralDomain)`909745
onumberOfChildren`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``909800
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``909848
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``909940
onumberOfComponents`1`x`(%)->NonNegativeInteger`cThreeSpaceCategory(R)``910032
onumberOfComposites`1`x`(%)->NonNegativeInteger`cThreeSpaceCategory(R)``910227
onumberOfComputedEntries`1`x`(%)->NonNegativeInteger`cLazyStreamAggregate(S)``910683
onumberOfCycles`1`x`(%)->NonNegativeInteger`dPermutation(S)``910862
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``910964
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``911157
onumberOfFactors`1`x`(%)->NonNegativeInteger`dFactored(R)``911422
onumberOfFractionalTerms`1`x`(%)->Integer`dPartialFraction(R)``911508
onumberOfHues`0`x`()->PositiveInteger`dColor``911649
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``911732
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``912244
onumberOfMonomials`1`x`(%)->NonNegativeInteger`cIndexedDirectProductCategory(A,S)``912417
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``912497
onumberOfPrimes`1`n`(OutputForm)->Integer`cFormatterCategory``912643
onumberOfPrimes`1`n`(OutputForm)->Integer`xFormatterCategory&(S)``913000
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``913357
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)``913509
onumer`1`n`(%)->A`dLocalAlgebra(A,R)``913580
onumer`1`n`(%)->M`dLocalize(M,R)``913637
onumer`1`n`(%)->Vector(A)`dFractionalIdeal(R,F,UP,A)``913694
onumer`1`x`(%)->S`cQuotientFieldCategory(S)``913778
onumer`1`x`(%)->SparseMultivariatePolynomial(Integer,Kernel(%))`dAlgebraicNumber``913849
onumer`1`x`(%)->SparseMultivariatePolynomial(R,Kernel(%))`cFunctionSpace(R)`has(R,Ring)`913959
onumerator`1`n`(%)->%`cJetBundleFunctionCategory(JB)``914198
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)`914259
onumerator`1`x`(%)->%`cQuotientFieldCategory(S)``914337
onumerators`1`x`(%)->Stream(R)`dContinuedFraction(R)``914423
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`914621
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`914738
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`914855
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`914972
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`915124
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`915276
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`915428
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`915495
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`915562
onumeric`1`x`(S)->Float`pNumeric(S)``915629
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`915696
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`915798
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`915900
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``916002
oobj`1`x`(%)->None`dAny``916104
oobjectOf`1`x`(%)->OutputForm`dAny``916256
oobjectToIndex`2`n`(%,S)->NonNegativeInteger`cPoset(S)``916368
oobjectToIndex`2`n`(A,S)->NonNegativeInteger`xPoset&(A,S)``0
oobjects`1`x`(%)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``916411
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``916642
oocton`2`x`(Quaternion(R),Quaternion(R))->%`dOctonion(R)``916989
oocton`8`x`(R,R,R,R,R,R,R,R)->%`cOctonionCategory(R)``917100
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`x`(%)->Boolean`cExpressionSpace`has(%,RetractableTo(Integer))`917210
oodd?`1`x`(%)->Boolean`cIntegerNumberSystem``917277
oodd?`1`x`(%)->Boolean`dPermutation(S)``917351
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``917484
oodd_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``917635
oodd_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``917743
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``917972
ooddlambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
ooddlambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``918042
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``918419
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``918745
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``918835
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``918962
oomError`2`x`(OpenMathErrorKind,List(Symbol))->%`dOpenMathError``919118
oomega`0`n`()->%`dSmallOrdinal``919186
oomega`0`n`()->Symbol`pMathematicalSymbols``919238
oomegapower`1`n`(%)->%`dSmallOrdinal``919305
oomicron`0`n`()->Symbol`pMathematicalSymbols``919349
oone?`1`n`(%)->Boolean`cJetBundleCategory``919420
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``919513
oone?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``919573
ooneDimensionalArray`1`x`(List(S))->%`dOneDimensionalArray(S)``919679
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->%`dOneDimensionalArray(S)``919766
ooneSkeleton`1`n`(%)->DirectedGraph(NonNegativeInteger)`dFiniteSimplicialComplex(VS)``919866
ooneSkeleton`1`n`(%)->UndirectedGraph(NonNegativeInteger)`dDeltaComplex(VS)``919904
oone`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``919942
oone`1`x`(Boolean)->%`dGuessOption``920032
oopType`1`n`(%)->Symbol`dILogic``920157
oopType`1`n`(%)->Symbol`dLatticeJoinOfMeets``920343
oopType`1`n`(%)->Symbol`dLatticeMeetOfJoins``920529
oopen?`1`n`(%)->Boolean`dTubePlot(Curve)``920715
oopen`1`x`(Name)->%`cFileCategory(Name,S)``920790
oopen`2`x`(Name,String)->%`cFileCategory(Name,S)``920854
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``920971
ooperatorHandlers`0`n`()->OperatorHandlers((Integer,List(OutputForm))->OutputBox)`cFormatterCategory``921057
ooperatorHandlers`0`n`()->OperatorHandlers((Integer,List(OutputForm))->OutputBox)`dFormatter(F)``921180
ooperator`1`n`(%)->BasicOperator`cKernelCategory(S)``921303
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``921372
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``921604
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``921774
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``921864
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``922037
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``922116
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(OutputForm)->OutputForm`pOutputFormTools``922228
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``922342
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace``922520
ooperator`1`x`(Symbol)->%`dBasicOperator``922632
ooperator`2`x`(Symbol,NonNegativeInteger)->%`dBasicOperator``922712
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`x`(%)->List(BasicOperator)`cExpressionSpace``922789
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``922906
oopposite?`2`n`(S,S)->Boolean`xAbelianGroup&(S)``0
oopposite?`2`n`(S,S)->Boolean`xAbelianMonoid&(S)``0
oopposite?`2`x`(%,%)->Boolean`cAbelianMonoid``922959
oopposite`1`n`(%)->%`cPoset(S)``923045
oopposite`1`n`(A)->A`xPoset&(A,S)``0
ooption?`2`x`(List(%),Symbol)->Boolean`dDrawOption``923133
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``923334
ooption`2`x`(List(%),Symbol)->Union(Any,"failed")`dDrawOption``923523
ooption`2`x`(List(%),Symbol)->Union(Any,"failed")`dGuessOption``923666
ooptional?`1`n`(%)->Boolean`dPattern(R)``923733
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``923837
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``924011
ooptions`1`n`(%)->List(DrawOption)`dTwoDimensionalViewport``924149
ooptions`1`x`(%)->List(DrawOption)`dThreeDimensionalViewport``924377
ooptions`2`n`(%,List(DrawOption))->%`dTwoDimensionalViewport``924606
ooptions`2`x`(%,List(DrawOption))->%`dThreeDimensionalViewport``924901
ooptpair`1`n`(List(%))->Union(List(%),"failed")`dPattern(R)``925187
oor`2`n`(%,%)->%`dOutputForm``925303
oor`2`x`(%,%)->%`cBitAggregate``925359
oor`2`x`(%,%)->%`dBoolean``925450
oorbit`2`x`(%,List(S))->Set(List(S))`dPermutationGroup(S)``925544
oorbit`2`x`(%,S)->Set(S)`cPermutationCategory(S)``925752
oorbit`2`x`(%,S)->Set(S)`dPermutationGroup(S)``925941
oorbit`2`x`(%,Set(S))->Set(Set(S))`dPermutationGroup(S)``926132
oorbits`1`x`(%)->Set(Set(S))`dPermutationGroup(S)``926238
oord`1`x`(%)->Integer`dCharacter``926373
oorderDim`3`n`(List(%),SparseEchelonMatrix(JB,%),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``926514
oorderDim`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorder`1`n`(%)->Integer`cFiniteGroup``926733
oorder`1`n`(%)->Integer`dLaurentPolynomial(R,UP)``926804
oorder`1`n`(%)->NonNegativeInteger`cFacetCategory``926841
oorder`1`n`(%)->NonNegativeInteger`cJetBundleCategory``926867
oorder`1`n`(%)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``926961
oorder`1`n`(%)->NonNegativeInteger`dInnerTaylorSeries(Coef)``927060
oorder`1`n`(%)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``927216
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)``927297
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``927334
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``927449
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)``927486
oorder`1`x`(%)->Integer`cFloatingPointSystem``927642
oorder`1`x`(%)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``927762
oorder`1`x`(%)->NonNegativeInteger`cDifferentialVariableCategory(S)``927968
oorder`1`x`(%)->NonNegativeInteger`cPAdicIntegerCategory(p)``928085
oorder`1`x`(%)->NonNegativeInteger`dPermutation(S)``928181
oorder`1`x`(%)->NonNegativeInteger`dPermutationGroup(S)``928268
oorder`1`x`(%)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``928333
oorder`1`x`(%)->PositiveInteger`cFiniteFieldCategory``928456
oorder`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``928592
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)`928679
oorder`2`x`(%,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``928846
oorder`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``928967
oorder`2`x`(%,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``929093
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``929248
oorder`3`x`(%,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``929295
oordinalAdd`2`n`(%,%)->%`dSmallOrdinal``929368
oordinalMul`2`n`(%,%)->%`dSmallOrdinal``929458
oordinalPower`2`n`(%,%)->%`dSmallOrdinal``929552
oorientedFacetIfCan`1`n`(List(%))->Union(%,"failed")`dOrientedFacet``929718
oorientedFacetSigned`1`n`(List(Integer))->%`dOrientedFacet``929999
oorientedFacetUnsigned`1`n`(List(Integer))->%`dOrientedFacet``930132
oorientedFacet`2`n`(Integer,List(NonNegativeInteger))->%`dOrientedFacet``930218
oorientedFacet`2`n`(Integer,OrientedFacet)->%`dOrientedFacet``930397
oorthogonalConvolution`2`n`(%,%)->%`cDistributionCategory(R)``930442
oorthogonalPolynomials`1`n`(%)->Stream(SparseUnivariatePolynomial(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`930564
oorthogonalPolynomials`1`n`(%)->Stream(SparseUnivariatePolynomial(R))`cDistributionCategory(R)`has(R,Field)`930649
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``930734
ooutDegree`2`n`(%,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``930899
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)`931002
ooutlineRender`2`x`(%,String)->Void`dThreeDimensionalViewport``931148
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``931553
ooutputAsFortran`1`n`(%)->Void`cFortranProgramCategory``931660
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``931746
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``931914
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``931988
ooutputAsMathML`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``932138
ooutputAsMathML`1`x`(OutputForm)->Void`pSpecialOutputPackage``932306
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``932440
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``932599
ooutputFixed`0`x`()->Void`dFloat``932721
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``932836
ooutputFloating`0`x`()->Void`dFloat``932969
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``933152
ooutputForm`1`n`(Integer)->%`dOutputForm``933307
ooutputForm`1`n`(String)->%`dOutputForm``933366
ooutputForm`1`n`(Symbol)->%`dOutputForm``933423
ooutputForm`2`n`(%,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``933480
ooutputForm`2`n`(%,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``933665
ooutputForm`4`n`(%,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``933787
ooutputGeneral`0`x`()->Void`dFloat``934371
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``934562
ooutputList`1`x`(List(Any))->Void`pOutputPackage``934678
ooutputSpacing`1`x`(NonNegativeInteger)->Void`dFloat``934886
ooutputVRML`2`n`(%,TextFile)->Void`dXmlAttribute``935026
ooutputVRML`2`n`(%,TextFile)->Void`dXmlElement``935304
ooutput`1`x`(OutputForm)->Void`pOutputPackage``935580
ooutput`1`x`(String)->Void`pOutputPackage``935726
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``935867
oover`2`n`(%,%)->%`dOutputForm``936043
ooverbar`1`n`(%)->%`dOutputForm``936138
ooverbar`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``936206
ooverlabel`2`n`(%,%)->%`dOutputForm``936433
ooverlap`2`n`(%,%)->Record(lm:%,mm:%,rm:%)`dFreeMonoid(S)``936528
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``936737
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``936880
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``936966
opa_to_sup`1`n`(PrimitiveArray(K))->SparseUnivariatePolynomial(K)`pVectorPolynomialOperationsF(K)``937054
opa_to_sup`1`n`(PrimitiveArray(PrimeField(p)))->SparseUnivariatePolynomial(Integer)`pVectorPolynomialOperationsP(p)``937129
opa_to_sup`1`n`(U32Vector)->SparseUnivariatePolynomial(Integer)`pU32VectorPolynomialOperations``937204
opack!`1`x`(%)->%`dKeyedAccessFile(Entry)``937279
opack!`1`x`(%)->%`dLibrary``937365
opack_exps0`4`n`(SortedExponentVector,List(Integer),Integer,Integer)->Void`dModularAlgebraicGcdTools3``937451
opack_exps`3`n`(Integer,Integer,MD)->SortedExponentVector`cModularAlgebraicGcdOperations(MP,MPT,MD)``937528
opack_modulus`3`n`(List(MP),List(Symbol),Integer)->Union(MD,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``937701
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``937864
opackageCall`2`n`(Symbol,List(InputForm))->InputForm`pInputFormFunctions1(R)``937953
opad`4`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->(%)->%`dOutputBox``938080
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``938477
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``938703
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``939015
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``939327
opadicFraction`1`x`(%)->%`dPartialFraction(R)``939651
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``939916
opair?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``940061
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))`940140
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))`940330
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))`940651
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)``940787
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)``941261
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``941861
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``942274
opalgint0`7`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``942457
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``942843
opalgintegrate`3`n`(R,F,(UP)->UP)->Record(result1:IntegrationResult(R),result2:F)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``942974
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``943129
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``943377
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``943585
oparallel`2`n`(%,%)->DoubleFloat`cSPointCategory``943844
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)``944052
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)``944097
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)``944141
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)``944400
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)``944667
oparametersOf`1`n`(%)->List(Symbol)`dSymbolTable``944994
oparametric?`1`n`(%)->Boolean`dPlot``945083
oparen`1`n`(%)->%`dOutputForm``945153
oparen`1`n`(List(%))->%`dOutputForm``945228
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`x`(%)->%`cExpressionSpace``945356
oparent`1`n`(%)->%`dSubSpace(n,R)``945579
oparenthesizeIf`2`n`(Boolean,OutputBox)->OutputBox`cFormatterCategory``945762
oparenthesizeIf`2`n`(Boolean,OutputBox)->OutputBox`xFormatterCategory&(S)``945915
oparenthesize`3`n`(String,String,OutputBox)->OutputBox`cFormatterCategory``946068
oparseIL2`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dILogic``946203
oparseILTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dILogic``946454
oparseIL`1`n`(String)->%`dILogic``946603
oparseLambda`1`n`(String)->%`dLambda(UT)``946815
oparseSki`1`n`(String)->%`dSKICombinators(UT)``947390
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dLambda(UT)``947434
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dSKICombinators(UT)``947591
oparseVarTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`cVarCat``947742
oparseVar`1`n`(String)->%`cVarCat``947871
oparse_integer`1`n`(String)->Integer`pScanningUtilities``947919
oparse`1`n`(String)->%`dInputForm``947998
opartialDenominators`1`x`(%)->Stream(R)`dContinuedFraction(R)``948080
opartialFraction`1`x`(Fraction(R))->%`dPartialFraction(R)`has(R,UniqueFactorizationDomain)`948332
opartialFraction`2`x`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``948474
opartialFraction`2`x`(R,Factored(R))->%`dPartialFraction(R)``948627
opartialFraction`3`x`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``948793
opartialNumerators`1`x`(%)->Stream(R)`dContinuedFraction(R)``949029
opartialQuotients`1`x`(%)->Stream(R)`dContinuedFraction(R)``949275
opartial`0`n`()->Symbol`pMathematicalSymbols``949532
oparticularSolutionOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``949595
oparticularSolutionOverConstants`3`n`(Vector(F),F,List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``949806
oparticularSolutionOverQ`2`x`(Matrix(R),Vector(R))->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``950023
oparticularSolutionOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``950220
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F,RR)``950422
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`950472
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`950686
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`950878
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`951092
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``951284
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``951389
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``951494
opartition`1`n`(List(Integer))->%`dPartition``951838
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``951926
opartitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``952107
opartitions`2`x`(Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``952180
opartitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``952355
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)``952563
oparts`1`x`(%)->List(S)`cHomogeneousAggregate(S)`has(%,finiteAggregate)`952648
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``952785
opastel`1`x`(Color)->%`dPalette``952938
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)``953034
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)``953301
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`953619
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``953824
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``954019
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``954205
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``954413
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`954596
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``954785
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)``954976
opatternMatch`3`x`(%,Pattern(S),PatternMatchResult(S,%))->PatternMatchResult(S,%)`cPatternMatchable(S)``955197
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)``955506
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)``955769
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->%`dPattern(R)``956148
opattern`1`x`(%)->Pattern(Base)`dRewriteRule(Base,R,F)``956345
opdct`1`n`(%)->Integer`dPartition``956448
opencil`1`n`(%)->LinearMultivariateMatrixPencil(F)`dFreeDivisionAlgebra(VAR,F)``956597
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``956665
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``956786
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``956952
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``957095
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``957223
operm_to_vec`3`x`(List(S),Permutation(S),NonNegativeInteger)->Vector(NonNegativeInteger)`dPermutationGroup(S)``957334
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``957413
opermutationGroup`1`x`(List(Permutation(S)))->%`dPermutationGroup(S)``958661
opermutationRepresentation`1`n`(G)->Permutation(Integer)`pFiniteGroupPackage(G)``958773
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``958885
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``959105
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``959373
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``959618
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``959807
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(%,%)->%`cCombinatorialFunctionCategory``959974
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``960135
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``960284
operpendicular`2`n`(%,%)->%`cSPointCategory``960402
operspective`2`x`(%,String)->Void`dThreeDimensionalViewport``960611
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``960866
ophi`0`n`()->Symbol`pMathematicalSymbols``961122
ophysicalLength!`2`n`(%,Integer)->%`dIndexedFlexibleArray(S,mn)``961185
ophysicalLength!`2`x`(%,Integer)->%`dFlexibleArray(S)``0
ophysicalLength`1`n`(%)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``961305
ophysicalLength`1`x`(%)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``961408
opi`0`n`()->F`pElementaryFunction(R,F)``961549
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`n`()->Symbol`pMathematicalSymbols``961606
opi`0`x`()->%`cTranscendentalFunctionCategory``961681
opi`0`x`()->%`dPiDomain``961739
opile`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``961799
opile`1`n`(List(%))->%`dOutputForm``962035
opivot`2`n`(%,Integer)->Record(Index:C,Entry:D)`dSparseEchelonMatrix(C,D)``962235
opivots`1`n`(%)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``962367
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(%,PositiveInteger)->%`cNonAssociativeAlgebra(R)``962471
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``962632
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``963020
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->%`dPlot``963483
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``963710
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``963933
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``964046
oplot`2`n`(%,Segment(DoubleFloat))->%`dPlot3D``964168
oplot`2`n`(%,Segment(DoubleFloat))->%`dPlot``964209
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``964250
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->%`dPlot``964344
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``964483
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``964634
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``964795
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``965001
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``965086
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot3D``965216
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``965399
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``965664
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``965739
oplusInfinity`0`x`()->%`dOrderedCompletion(R)``965935
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``965983
oplus`2`n`(%,%)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`966034
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))`966135
opoint?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``966292
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``966456
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``966544
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``966654
opointColor`1`x`(Float)->%`dDrawOption``966883
opointColor`1`x`(Palette)->%`dDrawOption``967026
opointData`1`n`(%)->List(Point(R))`dSubSpace(n,R)``967197
opointList`1`n`(%)->List(PT)`dSceneIFS(PT)``967317
opointList`1`x`(%)->List(S)`dPermutationGroup(S)``967386
opointLists`1`n`(%)->List(List(Point(DoubleFloat)))`dGraphImage``967446
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``967608
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->%`dPlot``967796
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``967966
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``968250
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``968311
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``968401
opoint`1`x`(%)->Point(R)`cThreeSpaceCategory(R)``968501
opoint`1`x`(List(R))->%`cPointCategory(R)``968681
opoint`1`x`(Point(R))->%`cThreeSpaceCategory(R)``968794
opoint`2`x`(%,List(R))->%`cThreeSpaceCategory(R)``968914
opoint`2`x`(%,NonNegativeInteger)->%`cThreeSpaceCategory(R)``969173
opoint`2`x`(%,Point(R))->%`cThreeSpaceCategory(R)``969338
opoint`3`n`(%,Point(DoubleFloat),Palette)->Void`dGraphImage``969583
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``969941
opoints`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``970189
opoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``970459
opoisson`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``970550
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``970589
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``971057
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))`971170
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``971285
opole?`1`n`(%)->Boolean`dInnerTaylorSeries(Coef)``971499
opole?`1`x`(%)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``971638
opolyPart`1`x`(%)->UP`dFullPartialFractionExpansion(F,UP)``971713
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``971780
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``972185
opoly_factor`1`n`(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))->Factored(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))`pExpressionFactorPolynomial(R,F)``972595
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)``972657
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``972719
opolygamma`2`x`(%,%)->%`cSpecialFunctionCategory``972816
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``972956
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
opolygon?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``973040
opolygon`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``973190
opolygon`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``973419
opolygon`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``973614
opolygon`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``973985
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)``974164
opolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``974230
opolylog`2`x`(%,%)->%`cSpecialFunctionCategory``974312
opolynomial?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``974394
opolynomial`1`n`(%)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``974454
opolynomial`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``974523
opolynomial`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``974647
opolynomial`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``974771
opolynomial`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``974925
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``975079
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(%,R,E,%)->%`cFiniteAbelianMonoidRing(R,E)``975118
opop!`1`x`(%)->S`cStackAggregate(S)``975286
opopFortranOutputStack`0`n`()->Void`pFortranOutputStackPackage``975498
oposetL7`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``975566
oposetM5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``975629
oposetN5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``975692
oposetO6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``975755
oposetP6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``975818
oposition`1`x`(%)->NonNegativeInteger`cCachableSet``975881
oposition`2`n`(%,List(%))->Integer`dCubicalFacet``975960
oposition`2`n`(%,List(%))->Integer`dOrientedFacet``976067
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)`976174
oposition`2`x`(S,%)->Integer`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`976363
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``976522
oposition`3`x`(CharacterClass,%,Integer)->Integer`cStringAggregate``976726
oposition`3`x`(S,%,Integer)->Integer`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`976951
opositive?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
opositive?`1`n`(S)->Boolean`xOrderedRing&(S)``0
opositive?`1`x`(%)->Boolean`cIntervalCategory(R)``977142
opositive?`1`x`(%)->Boolean`cOrderedRing``977257
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``977335
opositivePower`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
opositivePower`2`x`(%,Integer)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`977435
opositiveRemainder`2`x`(%,%)->%`cIntegerNumberSystem``977566
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``977691
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``977787
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``977913
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``978009
opossibleOrder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``978856
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(%)->Boolean`cStreamAggregate(S)``978969
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``979168
opostfix`2`n`(%,%)->%`dOutputForm``979337
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)``979413
opow`0`n`()->PrimitiveArray(%)`dModMonic(R,Rep)``979468
opow`4`n`(U32Vector,PositiveInteger,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``979707
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``979856
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``980141
opowerSetStructure`1`n`(S)->%`cPoset(S)``980247
opowerSum`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``980433
opower_matrix`3`n`(PA,NonNegativeInteger,PMD)->Record(matr:MMT,poly:PA)`cModularFactorizationOperations(PA,MMT,MD,PMD)``980521
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`980882
opower`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``980974
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`981217
opowers`1`n`(List(Integer))->List(List(Integer))`dPartition``981298
opowerset`1`n`(List(S))->FiniteBiCPO(List(S))`pPosetFactory(S)``981592
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(%,%,%)->%`cIntegerNumberSystem``981698
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``981783
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``981938
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``982077
opre_gauss`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``982136
opre_lr`3`n`(Matrix(Integer),Vector(Integer),Vector(Integer))->Matrix(Integer)`pUnitGaussianElimination``982286
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(%))`dRegularTriangularSet(R,E,V,P)``982501
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(%))`dSquareFreeRegularTriangularSet(R,E,V,P)``982604
opre_smith`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``982707
oprecedence`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``982834
oprecedence`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``983042
oprecision`0`n`()->PositiveInteger`dMachineFloat``983250
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``983318
oprecision`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``983382
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`983460
oprecondition`1`n`(OutputForm)->OutputForm`pOutputFormTools``983545
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``983605
opredicates`1`n`(%)->List(Any)`dPattern(R)``983758
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(%,%)->Boolean`cStringAggregate``983900
oprefixRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``984075
oprefix`2`n`(%,List(%))->%`dOutputForm``984293
oprefix`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``984443
oprefix`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``984666
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``984889
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``985045
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)``985185
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)``985300
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``985415
opresub`2`n`(%,%)->%`dOutputForm``985524
opresuper`2`n`(%,%)->%`dOutputForm``985609
opretendOfType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``985698
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``985788
oprevious`1`x`(%)->%`cDoublyLinkedAggregate(S)``985872
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`986044
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`986146
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)``986294
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``986410
oprime?`1`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``986574
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``986655
oprime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``987840
oprimeFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``987902
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(%)->%`cFieldOfPrimeCharacteristic``988053
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(%,NonNegativeInteger)->%`cFieldOfPrimeCharacteristic``988144
oprime`1`n`(%)->%`dOutputForm``988242
oprime`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``988334
oprime`2`n`(%,NonNegativeInteger)->%`dOutputForm``988728
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``988811
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)``988902
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)``989169
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``989381
oprimitive?`1`x`(%)->Boolean`cFiniteFieldCategory``989530
oprimitiveElement`0`x`()->%`cFiniteFieldCategory``989774
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``989974
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``990260
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`990703
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``991047
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``991495
oprimitiveMonomials`1`n`(%)->List(%)`cMaybeSkewPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`991865
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)`992066
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)`992139
oprimitivePart`1`x`(%)->%`cFunctionFieldCategory(F,UP,UPUP)``992262
oprimitivePart`1`x`(%)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`992385
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`992509
oprimitivePart`2`x`(%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`992708
oprimitiveRowEchelon`1`n`(%)->Record(Ech:%,Lt:Matrix(Fraction(D)),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`992875
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``993247
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(%)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``993281
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(%))->Record(coef:List(%),generator:%)`cPrincipalIdealDomain``993361
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)``993591
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``993629
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``993669
oprintCode`1`n`(%)->Void`dFortranCode``993708
oprintHeader`0`n`()->Void`dTheSymbolTable``993776
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``993924
oprintHeader`2`n`(Symbol,%)->Void`dTheSymbolTable``994070
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``994216
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``994432
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``994511
oprintSys`1`n`(List(D))->OutputForm`dJetDifferentialEquation(JB,D)``994562
oprintTypes`1`n`(%)->Void`dSymbolTable``994716
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``994837
oprint`1`n`(%)->Void`dOutputForm``994958
oprint`1`x`(OutputForm)->Void`pPrintPackage``995007
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``995118
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``995238
oprocessTemplate`1`n`(FileName)->FileName`dFortranTemplate``995412
oprocessTemplate`2`n`(FileName,FileName)->FileName`dFortranTemplate``995539
oprod`1`n`(%)->%`dOutputForm``995652
oprod`2`n`(%,%)->%`dOutputForm``995740
oprod`3`n`(%,%,%)->%`dOutputForm``995860
oprodiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``996021
oproductFacet`2`n`(Integer,List(Record(left:NonNegativeInteger,right:NonNegativeInteger)))->%`dProductFacet``996266
oproductFacet`2`n`(Integer,ProductFacet)->%`dProductFacet``996303
oproduct`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``996351
oproduct`2`n`(%,%)->%`dCubicalFacet``996543
oproduct`2`n`(%,%)->%`dFiniteCubicalComplex(VS)``996664
oproduct`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``996711
oproduct`2`n`(%,%)->List(ProductFacet)`dOrientedFacet``997186
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``997667
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``997775
oproduct`2`x`(%,%)->%`cGradedAlgebra(R,E)``997931
oproduct`2`x`(%,%)->%`dCartesianTensor(minix,dim,R)``998408
oproduct`2`x`(%,SegmentBinding(%))->%`cCombinatorialOpsCategory``998692
oproduct`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``998800
oproduct`3`n`(%,%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)``998956
oproject`2`n`(%,NonNegativeInteger)->%`dJetDifferentialEquation(JB,D)``999044
oprojectionSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``999196
oprojection`1`n`(%)->Union(%,"failed")`dCell(TheField)``999258
oprojectiveSpace`1`n`(Integer)->DeltaComplex(VS)`pDeltaComplexFactory(VS)``999334
oprojectiveSpace`1`n`(Integer)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``999378
oprojectiveSpace`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``999672
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``999960
oprologue`1`n`(%)->List(String)`dTexFormat``1000310
oprologue`1`n`(%)->OutputBox`dFormatter(F)``1000390
oprolongMV`1`n`(Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger)))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``1000468
oprolongSymbol`1`n`(SparseEchelonMatrix(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1000592
oprolong`1`n`(%)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``1000668
oprolong`2`n`(%,NonNegativeInteger)->%`dJetVectorField(JB,D)``1000804
oprolong`2`n`(%,NonNegativeInteger)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``1000932
oproperties`1`x`(%)->AssociationList(Symbol,None)`dBasicOperator``1001061
oproperty`2`x`(%,Symbol)->Union(None,"failed")`dBasicOperator``1001162
oproposition`1`n`(String)->%`dILogic``1001291
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)`1001323
opseudoDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cRecursivePolynomialCategory(R,E,V)``1001522
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1001735
opseudoRem`3`n`(MPT,MPT,MD)->MPT`cModularAlgebraicGcdOperations(MP,MPT,MD)``1001929
opseudoRemainder`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoRemainder`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`1002032
opsi`0`n`()->Symbol`pMathematicalSymbols``1002280
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)``1002343
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)``1002472
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)``1002625
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)``1002779
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1002927
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)``1003157
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1003334
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)``1003576
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1003754
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1003997
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1004209
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1004468
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``1004735
optree`1`x`(S)->%`dPendantTree(S)``1004837
optree`2`x`(%,%)->%`dPendantTree(S)``1004884
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1004926
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1005109
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1005179
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1005294
opuiseux`2`x`(Fraction(Integer),ULS)->%`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``1005539
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1005595
opuiseux`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``1005769
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)``1006017
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))))`1006266
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)``1006512
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``1006652
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``1006996
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``1007139
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``1007338
opurge!`2`n`(%,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``1007489
opush!`2`x`(S,%)->S`cStackAggregate(S)``1007620
opushFortranOutputStack`1`n`(FileName)->Void`pFortranOutputStackPackage``1007885
opushFortranOutputStack`1`n`(String)->Void`pFortranOutputStackPackage``1007971
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``1008057
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1008105
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1008252
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1008402
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1008546
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``1008679
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1008725
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``1008880
oputGraph`3`n`(%,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1009087
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1009526
oqShiftAction`4`n`(D,NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``1009744
oqShiftC`2`n`(D,NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``1009993
oqaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``1010326
oqaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1010558
oqaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``1010718
oqaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1010829
oqcoerce`1`x`(Integer)->%`dNonNegativeInteger``1010998
oqcoerce`1`x`(Integer)->%`dPositiveInteger``1011091
oqcolumnIndices`2`n`(%,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1011181
oqcolumnIndices`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1011338
oqcolumnIndices`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``1011520
oqconvert`1`n`(Integer)->%`dU64Int``0
oqconvert`1`x`(Integer)->%`dSingleInteger``1011718
oqdiagonal?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1011812
oqdiagonal`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``1011944
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(%,Dom)->Im`cEltableAggregate(Dom,Im)``1012089
oqelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``1012395
oqelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``1012523
oqelt`3`x`(%,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``1012612
oqelt`3`x`(%,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1012812
oqelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``1012990
oqequal?`5`n`(%,List(NonNegativeInteger),%,List(NonNegativeInteger),NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1013135
oqinterval`2`x`(R,R)->%`cIntervalCategory(R)``1013249
oqlog`1`x`(%)->%`dDoubleFloat``1013378
oqmultiplyColumn!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1013470
oqmultiplyRow!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1013556
oqnew`1`n`(Integer)->%`dComplexDoubleFloatVector``1013653
oqnew`1`n`(Integer)->%`dDoubleFloatVector``1013730
oqnew`1`n`(NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1013807
oqnew`2`n`(NonNegativeInteger,List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``1013873
oqnew`2`x`(NonNegativeInteger,NonNegativeInteger)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1013946
oqnew`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1014022
oqnilpotent?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1014149
oqregular?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1014289
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1014394
oqrowIndices`2`n`(%,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1014491
oqrowIndices`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``1014646
oqrowIndices`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``1014825
oqscaleBlock!`7`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``1014976
oqsemizero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1015137
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(%,shallowlyMutable)`1015296
oqsetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``1015514
oqsetelt!`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1015683
oqsetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``1015869
oqsetfirst!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
oqsetfirst!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1016017
oqsetrest!`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oqsetrest!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1016143
oqsqrt`1`x`(%)->%`dDoubleFloat``1016259
oqswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1016347
oqswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1016451
oqswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1016595
oqswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1016693
oquadraticForm`1`x`(SquareMatrix(n,K))->%`dQuadraticForm(n,K)``1016832
oquadraticNonResidue`0`n`()->%`dInnerPrimeField(p)``1016932
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``1017056
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1017142
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1017183
oquartic2`2`n`(SparseUnivariatePolynomial(F),F)->Union(Record(reals:List(F),complexes:List(Record(real:F,imag:F))),"failed")`pRootUtilities(R,F)``1017234
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1017292
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1017331
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1017390
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)``1017594
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(%)->Boolean`cRecursivePolynomialCategory(R,E,V)``1017746
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1017921
oquasiRegular?`1`n`(%)->Boolean`dXPolynomialRing(R,E)``1018099
oquasiRegular?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``1018180
oquasiRegular`1`n`(%)->%`dXPolynomialRing(R,E)``1018261
oquasiRegular`1`x`(%)->%`cXFreeAlgebra(vl,R)``1018332
oquatern`4`x`(R,R,R,R)->%`cQuaternionCategory(R)``1018403
oqueue`1`x`(List(S))->%`dQueue(S)``1018481
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1018646
oquoByVar`1`x`(%)->%`cUnivariateTaylorSeriesCategory(Coef)``1018771
oquo`2`n`(%,%)->%`dOutputForm``1019038
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`x`(%,%)->%`cEuclideanDomain``1019095
oquo`2`x`(%,%)->%`dNonNegativeInteger``1019207
oquote`0`x`()->%`dCharacter``1019304
oquote`1`n`(%)->%`dOutputForm``1019375
oquoted?`1`n`(%)->Boolean`dPattern(R)``1019445
oquotedOperators`1`x`(%)->List(Symbol)`dRewriteRule(Base,R,F)``1019536
oquotientByP`1`x`(%)->%`cPAdicIntegerCategory(p)``1019763
oquotient`2`n`(%,List(List(Integer)))->%`dGroupPresentation``1019838
oquotient`2`n`(%,List(NonNegativeInteger))->%`dGroupPresentation``1019899
oquotient`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1019963
oquotient`2`x`(%,DPoly)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1020070
oquppertriangular?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1020225
oqzero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1020377
oqzero?`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1020516
oqzero?`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1020628
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,FreeMonoid(VAR))->Boolean`dFreeDivisionAlgebra(VAR,F)``1020791
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1020947
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1021060
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`cJetBundleCategory``1021229
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`xJetBundleCategory&(S)``1021300
orCoord`1`n`(Point(R))->R`pPointPackage(R)``1021371
orabs`1`x`(Complex(DoubleFloat))->DoubleFloat`pFloatSpecialFunctions``1021642
orabs`1`x`(Complex(Float))->Float`pFloatEllipticFunctions``1021662
orabs`1`x`(Complex(Float))->Float`pFloatSpecialFunctions``1021683
orabs`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``1021703
orabs`1`x`(Float)->Float`pFloatEllipticFunctions``1021723
orabs`1`x`(Float)->Float`pFloatSpecialFunctions``1021744
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``1021764
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``1021892
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``1022046
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``1022247
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``1022428
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``1022666
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``1022821
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)``1022995
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1023303
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1023500
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1023666
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1023862
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1024040
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1024212
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1024408
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1024601
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)``1024828
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``1024896
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``1024981
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1025143
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1025210
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1025280
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``1025347
orandnum`0`x`()->Integer`pRandomNumberSource``1025450
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``1025515
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``1025585
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``1025649
orandomR`1`n`(Integer)->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1025705
orandom_poly`2`n`(Integer,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1025765
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``1025848
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1025910
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1026040
orandom`1`x`(%)->%`cIntegerNumberSystem``1026124
orandom`1`x`(%)->%`dInteger``1026195
orandom`1`x`(%)->%`dNonNegativeInteger``1026266
orandom`1`x`(%)->Permutation(S)`dPermutationGroup(S)``1026337
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1026476
orandom`2`x`(%,Integer)->Permutation(S)`dPermutationGroup(S)``1026653
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1026762
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``1026842
orange`1`x`(List(Segment(Float)))->%`dDrawOption``1026961
orange`1`x`(List(Segment(Fraction(Integer))))->%`dDrawOption``1027086
oranges`1`n`(%)->List(Segment(Float))`dGraphImage``1027211
oranges`1`x`(List(Segment(Float)))->%`dDrawOption``1027379
oranges`2`n`(%,List(Segment(Float)))->List(Segment(Float))`dGraphImage``1027511
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``1027766
orank`0`n`()->PositiveInteger`cFramedModule(R)``1027973
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`n`()->PositiveInteger`xOctonionCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``1028025
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``1028079
orank`1`n`(%)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``1028152
orank`1`n`(%)->NonNegativeInteger`dVectorSpaceBasis(R)``1028297
orank`1`n`(List(Vector(R)))->NonNegativeInteger`dVectorSpaceBasis(R)``1028404
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1028466
orank`1`x`(%)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`1028529
orank`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`1028592
orank`1`x`(%)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``1028655
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`1028798
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``1028861
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``1028978
orarrow`2`n`(%,%)->%`dOutputForm``1029095
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``1029170
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``1029308
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``1029426
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``1029567
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1029700
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1030024
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1030280
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1030604
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``1030860
oratexprInverse`2`n`(%,Boolean)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1030988
oratexpr`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1031192
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)`1031320
orational?`1`x`(%)->Boolean`cIntegerNumberSystem``1031387
orational?`1`x`(%)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1031488
orational?`1`x`(%)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1031604
orational?`1`x`(%)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`1031800
orational?`1`x`(%)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1031920
orational?`1`x`(%)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1031994
orational?`1`x`(S)->Boolean`pRationalRetractions(S)``1032068
orationalApproximation`2`x`(%,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1032175
orationalApproximation`2`x`(%,NonNegativeInteger)->Fraction(Integer)`dFloat``1032312
orationalApproximation`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1032449
orationalApproximation`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``1032629
orationalFunction`2`x`(%,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1032807
orationalFunction`3`x`(%,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1032951
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)`1033118
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``1033240
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1033345
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1033460
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`1033685
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1033795
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1033907
orationalIfCan`1`x`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``1034020
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``1034139
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1034222
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``1034305
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`1034388
orationalPower`1`x`(%)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``1034471
orational_reconstruction`1`n`(%)->Union(Record(numers:PrimitiveArray(Integer),denoms:PrimitiveArray(Integer)),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`1`n`(%)->Union(Record(numers:PrimitiveArray(U32Vector),denoms:PrimitiveArray(U32Vector)),"failed")`dVectorModularReconstructor``1034569
orational_reconstruction`4`n`(Integer,Integer,Integer,Integer)->Union(Record(num:Integer,den:Integer),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`4`n`(U32Vector,U32Vector,Integer,Integer)->Union(Record(numer:U32Vector,denom:U32Vector),"failed")`dVectorModularReconstructor``1034663
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)`1034700
orational`1`x`(%)->Fraction(Integer)`cIntegerNumberSystem``1034810
orational`1`x`(%)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1034897
orational`1`x`(%)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1035017
orational`1`x`(%)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`1035228
orational`1`x`(%)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1035388
orational`1`x`(%)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1035505
orational`1`x`(S)->Fraction(Integer)`pRationalRetractions(S)``1035620
orationalize_ir`2`n`(IntegrationResult(F),Kernel(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``1035729
oratpart`1`n`(%)->F`dIntegrationResult(F)``1035831
oravel`1`x`(%)->List(R)`dCartesianTensor(minix,dim,R)``1035908
orc`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``1036029
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``1036068
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)``1036117
oread!`1`x`(%)->S`cFileCategory(Name,S)``1036190
oreadIfCan!`1`x`(%)->Union(S,"failed")`dFile(S)``1036354
oreadIfCan!`1`x`(%)->Union(String,"failed")`dTextFile``1036549
oreadLine!`1`x`(%)->String`dTextFile``1036762
oreadLineIfCan!`1`x`(%)->Union(String,"failed")`dTextFile``1036856
oreadable?`1`x`(%)->Boolean`cFileNameCategory``1037073
oreal?`1`n`(%)->Boolean`dFortranScalarType``1037164
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``1037250
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``1037315
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``1037380
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``1037596
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1037882
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1038038
orealLiouvillian`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1038233
orealLiouvillian`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1038506
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``1038796
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``1038915
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1039235
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1039331
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1039611
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``1039717
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1039928
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1040045
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1040948
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1041079
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1041210
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1041371
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1041532
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1041728
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1041924
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1042153
oreal`1`x`(%)->R`cComplexCategory(R)``1042382
oreal`1`x`(%)->R`cOctonionCategory(R)``1042435
oreal`1`x`(%)->R`cQuaternionCategory(R)``1042498
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``1042567
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``1042661
orecip`0`n`()->%`dMoebiusTransform(F)``1042755
orecip`1`n`(%)->%`dMoebiusTransform(F)``1042862
orecip`1`n`(%)->Union(%,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1042906
orecip`1`n`(%)->Union(%,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``1042943
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)``1042980
orecip`1`x`(%)->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1043083
orecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``1043316
orecip`1`x`(%)->Union(%,"failed")`dCliffordAlgebra(n,K,bLin)``1043518
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)``1043632
orecip`2`x`(ThePols,%)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1043805
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``1043895
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``1044065
oreconstruct`2`n`(%,Vector(Integer))->Union(PrimitiveArray(Integer),"failed")`dVectorIntegerReconstructor``1044163
oreconstruct`5`n`(%,Integer,Vector(Integer),Vector(Integer),SortedExponentVector)->Union(Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed")`dVectorModularReconstructor``1044250
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``1044314
orectangularMatrix`1`n`(Matrix(R))->%`dRectangularMatrix(m,n,R)``1044417
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``1044542
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``1044665
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,Dpol)``1044741
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1044775
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1044810
ored_pol!`2`n`(PA,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1045003
ored`0`x`()->%`dColor``1045145
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``1045218
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)``1045358
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)``1045475
oreduceBasis`4`n`(Vector(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``1045640
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1045756
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``1045871
oreduceLODE`2`n`(LO,List(A))->Record(mat:Matrix(L),vecs:List(Vector(F)))`pReduceLODE(F,L,UP,A,LO)``1046230
oreduceMod`2`n`(List(%),List(%))->List(%)`cJetBundleFunctionCategory(JB)``1046487
oreduceMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oreduce`1`n`(%)->%`dJetBundleExpression(JB)``1046587
oreduce`1`n`(%)->%`dJetBundleXExpression(JB)``1046643
oreduce`1`n`(FPol)->%`dResidueRing(F,Expon,VarSet,FPol,LFPol)``1046703
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)``1046790
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``1046855
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`x`(%)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``1047005
oreduce`1`x`(%)->%`dAlgebraicNumber``1047135
oreduce`1`x`(%)->%`dExpression(R)`has(R,IntegralDomain)`1047264
oreduce`1`x`(Fraction(UP))->Union(%,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`1047396
oreduce`1`x`(UP)->%`cMonogenicAlgebra(R,UP)``1047480
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)``1047633
oreduce`2`n`(R,Mod)->%`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1047809
oreduce`2`n`(R,Mod)->%`dModularField(R,Mod,reduction,merge,exactQuo)``1047852
oreduce`2`n`(R,Mod)->%`dModularRing(R,Mod,reduction,merge,exactQuo)``1047895
oreduce`2`x`((S,S)->S,%)->S`cCollection(S)`has(%,finiteAggregate)`1047938
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)``1048268
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``1048437
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``1048830
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``1049184
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``1049532
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1049701
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1050059
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``1050207
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``1050549
oreduce`3`x`((S,S)->S,%,S)->S`cCollection(S)`has(%,finiteAggregate)`1050883
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``1051283
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))`1051516
oreduce`4`x`(P,%,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``1051905
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)``1052459
oreduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``1052553
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)``1052672
oreducedContinuedFraction`2`x`(R,Stream(R))->%`dContinuedFraction(R)``1052905
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``1053234
oreducedForm`1`x`(%)->%`dContinuedFraction(R)``1053286
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``1053546
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)``1053716
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)``1053854
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)``1054014
oreducedSystem`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(mat:Matrix(F),vec:Vector(F))`pConstantLinearDependence(R,F)``1054179
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``1054375
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``1054539
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``1054650
oreductum`1`n`(%)->%`cIndexedProductCategory(A,S)`has(S,Comparable)`1054737
oreductum`1`n`(%)->%`cSolvableSkewPolynomialCategory(R,Expon)``1054904
oreductum`1`n`(%)->%`dAntiSymm(R,lVar)``1055015
oreductum`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``1055200
oreductum`1`n`(%)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1055381
oreductum`1`n`(%)->%`dLaurentPolynomial(R,UP)``1055421
oreductum`1`n`(%)->%`dXPolynomialRing(R,E)``1055461
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)``1055570
oredux`1`n`(%)->%`dILogic``1055702
oredux`1`n`(%)->%`dLambda(UT)``1055856
oredux`1`n`(%)->%`dLatticeJoinOfMeets``1055927
oredux`1`n`(%)->%`dLatticeMeetOfJoins``1055960
oredux`1`n`(%)->%`dSKICombinators(UT)``1055993
oref`1`n`(S)->%`dReference(S)``1056105
orefactorIndexes`2`n`(%,NonNegativeInteger)->%`dFiniteSimplicialComplex(VS)``1056180
orefactorIndexes`2`n`(%,NonNegativeInteger)->%`dOrientedFacet``1056276
orefactor`1`n`(%)->%`dGroupPresentation``1056376
orefine!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1056598
orefine!`2`n`(%,Boolean)->%`dFreeDivisionAlgebra(VAR,F)``1056669
orefineUR!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1056856
orefineUR!`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1056984
orefine`1`n`(%)->%`dPlot3D``1057112
orefine`1`n`(%)->%`dPlot``1057150
orefine`1`x`(%)->%`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1057217
orefine`2`n`(%,DoubleFloat)->%`dPlaneAlgebraicCurvePlot``1057298
orefine`2`n`(%,Segment(DoubleFloat))->%`dPlot3D``1057343
orefine`2`n`(%,Segment(DoubleFloat))->%`dPlot``1057386
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``1057429
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``1057848
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``1058031
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)``1058214
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)``1058512
orefined?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1058810
orefinementEquations`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1058878
orefinementGroebner`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1058998
orefinementSolve`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``1059293
orefinementTransformations`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``1059545
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)``1059652
oregion`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1060491
oregular?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1060773
oregularRepresentation`1`n`(G)->Matrix(Integer)`pFiniteGroupPackage(G)``1060830
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(%)->Matrix(R)`cFramedAlgebra(R,UP)``1060947
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)``1061185
oreindex`1`n`(%)->%`dOrientedFacet``1061457
oreindex`2`x`(%,List(Integer))->%`dCartesianTensor(minix,dim,R)``1061526
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeal(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`1061812
orelationsInGenerators`1`x`(%)->List(List(Integer))`dPermutationGroup(S)``1061924
orelationsInStrongGenerators`1`x`(%)->List(List(Integer))`dPermutationGroup(S)``1062003
orelativeApprox`2`x`(%,%)->Fraction(Integer)`dRealClosure(TheField)``1062095
orelativeApprox`3`x`(ThePolDom,%,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1062203
orelativeApprox`3`x`(ThePols,%,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``1062331
orelerror`2`x`(%,%)->%`dFloat``1062461
orem`2`n`(%,%)->%`dOutputForm``1062564
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`x`(%,%)->%`cEuclideanDomain``1062621
orem`2`x`(%,%)->%`dNonNegativeInteger``1062734
oremainder!`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``1062804
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)`1062832
oremap_variables`3`n`(SparseMultivariatePolynomial(R,VarSet1),List(VarSet1),List(VarSet2))->SparseMultivariatePolynomial(R,VarSet2)`pSparsePolynomialCoercionHelpers(R,VarSet1,VarSet2)``1063137
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)``1063369
oremove!`2`x`((S)->Boolean,%)->%`cDictionaryOperations(S)`has(%,finiteAggregate)`1063435
oremove!`2`x`((S)->Boolean,%)->%`cExtensibleLinearAggregate(S)``1063578
oremove!`2`x`(Key,%)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1063702
oremove!`2`x`(S,%)->%`cDictionaryOperations(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1063894
oremove!`2`x`(S,%)->%`cExtensibleLinearAggregate(S)`has(S,BasicType)`1064023
oremove!`3`x`((S)->Boolean,%,Integer)->%`dMultiset(S)``1064110
oremove!`3`x`(S,%,Integer)->%`dMultiset(S)``1064411
oremoveChild!`2`n`(%,%)->Void`dScene(PT)``1064664
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`1064765
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1064877
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1065054
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(%)->%`cExtensibleLinearAggregate(S)`has(S,BasicType)`1065235
oremoveDuplicates!`1`x`(%)->%`cMultiDictionary(S)``1065318
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))`1065420
oremoveHandler!`3`n`(%,Integer,String)->Void`dOperatorHandlers(HANDLER)``1065510
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1065709
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1066002
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1066351
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1066672
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1067353
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1067643
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1067934
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1068039
oremoveRepeats!`1`n`(%)->%`dIndexedFlexibleArray(S,mn)``1068256
oremoveRepeats!`1`x`(%)->%`dFlexibleArray(S)``0
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1068378
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``1068722
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1068876
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1069166
oremoveRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dFreeDivisionAlgebra(VAR,F)``1069446
oremoveRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``1069621
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1069777
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1069954
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1070135
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``1070296
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1070401
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``1070506
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1070685
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1070864
oremoveZeroes`1`n`(%)->%`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(%)->%`dPAdicRational(p)``0
oremoveZeroes`1`n`(%)->%`dPAdicRationalConstructor(p,PADIC)``1071128
oremoveZeroes`1`x`(%)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1071682
oremoveZeroes`2`n`(Integer,%)->%`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,%)->%`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,%)->%`dPAdicRationalConstructor(p,PADIC)``1072211
oremoveZeroes`2`x`(Integer,%)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1072326
oremoveZeros`2`n`(%,Expon)->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``1072783
oremove_denoms`3`n`(Vector(Integer),PrimitiveArray(Integer),PrimitiveArray(Integer))->PrimitiveArray(Integer)`dVectorIntegerReconstructor``1072892
oremove_denoms`4`n`(Vector(Integer),PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->PrimitiveArray(U32Vector)`dVectorModularReconstructor``1072936
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)``1073278
oremove`2`x`((S)->Boolean,%)->%`cCollection(S)`has(%,finiteAggregate)`1073470
oremove`2`x`((S)->Boolean,%)->%`cLazyStreamAggregate(S)``1073652
oremove`2`x`(S,%)->%`cCollection(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1073845
oremove`3`x`((S)->Boolean,%,Integer)->%`dMultiset(S)``1074001
oremove`3`x`(S,%,Integer)->%`dMultiset(S)``1074287
orename!`2`x`(%,OutputForm)->%`cRealClosedField``1074525
orename`2`x`(%,OutputForm)->%`cRealClosedField``1074594
oreopen!`2`x`(%,String)->%`cFileCategory(Name,S)``1074665
oreorder`2`n`(%,List(Integer))->%`dDistributedMultivariatePolynomial(vl,R)``1074858
oreorder`2`n`(%,List(Integer))->%`dGeneralDistributedMultivariatePolynomial(vl,R,E)``1075002
oreorder`2`n`(%,List(Integer))->%`dHomogeneousDistributedMultivariatePolynomial(vl,R)``1075146
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1075290
orepack1`4`n`(MPT,U32Vector,Integer,MD)->Void`cModularAlgebraicGcdOperations(MP,MPT,MD)``1075423
orepack_polys`4`n`(Integer,Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector))->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1075581
orepeatUntilLoop`2`n`(Switch,%)->%`dFortranCode``1075784
orepeatedIndex`1`n`(%)->List(PositiveInteger)`cJetBundleCategory``1075866
orepeatedIndex`1`n`(S)->List(PositiveInteger)`xJetBundleCategory&(S)``0
orepeating?`2`x`(List(S),%)->Boolean`dStream(S)`has(S,SetCategory)`1075980
orepeating`1`x`(List(S))->%`dStream(S)``1076118
oreplaceDiffs`3`n`(F,BasicOperator,Symbol)->F`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oreplaceKthElement`3`n`(%,PositiveInteger,PositiveInteger)->Union(%,"failed")`dSetOfMIntegersInOneToN(m,n)``1076202
oreplace`3`x`(%,UniversalSegment(Integer),%)->%`cStringAggregate``1076403
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``1076511
orepresentation`1`n`(%)->List(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1076668
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)``1076781
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)``1076935
orepresents`2`x`(Vector(R),Vector(%))->%`cFiniteRankNonAssociativeAlgebra(R)``1077034
orepresents`2`x`(Vector(UP),UP)->%`cFunctionFieldCategory(F,UP,UPUP)``1077158
oreseed`1`x`(Integer)->Void`pRandomNumberSource``1077262
oresetBadValues`1`n`(%)->%`dPattern(R)``1077336
oresetNewGreek`0`n`()->Void`pMathematicalSymbols``1077496
oresetNew`0`x`()->Void`dSymbol``1077616
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``1077743
oreset`1`n`(%)->Void`dTwoDimensionalViewport``1077867
oreset`1`x`(%)->Void`dThreeDimensionalViewport``1078083
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``1078303
oresize`3`n`(%,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``1078426
oresize`3`x`(%,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``1078677
orest`1`n`(%)->%`dFreeMagma(VarSet)``1078932
orest`1`n`(%)->%`dFreeMonoid(S)``1079069
orest`1`n`(%)->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``1079133
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)``1079210
orest`1`x`(%)->Union(%,"failed")`cTriangularSetCategory(R,E,V,P)``1079350
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)``1079514
oresult`1`n`(%)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``1079613
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1079818
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1079929
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1080088
oresultantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``1080182
oresultant`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1080261
oresultant`2`x`(%,%)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`1080475
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`n`(U32Vector,U32Vector,Integer)->Integer`pU32VectorPolynomialOperations``1080571
oresultant`3`x`(%,%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`1080673
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``1080812
oretractIfCan`1`n`(Expression(Float))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1080941
oretractIfCan`1`n`(Expression(Integer))->Union(%,"failed")`cFortranFunctionCategory``1081283
oretractIfCan`1`n`(Expression(Integer))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1081412
oretractIfCan`1`n`(Expression(R))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1081754
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``1082096
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(%,"failed")`cFortranFunctionCategory``1082140
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1082269
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(%,"failed")`cFortranFunctionCategory``1082611
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1082740
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(%,"failed")`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1083082
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(%,"failed")`dJetBundleXExpression(JB)``1083170
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Matrix(Expression(Float)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1083292
oretractIfCan`1`n`(Matrix(Expression(Integer)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1083421
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Float))))->Union(%,"failed")`cFortranMatrixFunctionCategory``1083550
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(%,"failed")`cFortranMatrixFunctionCategory``1083679
oretractIfCan`1`n`(Matrix(Polynomial(Float)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1083808
oretractIfCan`1`n`(Matrix(Polynomial(Integer)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1083937
oretractIfCan`1`n`(Polynomial(Float))->Union(%,"failed")`cFortranFunctionCategory``1084066
oretractIfCan`1`n`(Polynomial(Float))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1084195
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(%,"failed")`cFortranFunctionCategory``1084537
oretractIfCan`1`n`(Polynomial(Integer))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1084666
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)``1085008
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)``1085146
oretractIfCan`1`n`(Vector(Expression(Float)))->Union(%,"failed")`cFortranVectorFunctionCategory``1085420
oretractIfCan`1`n`(Vector(Expression(Integer)))->Union(%,"failed")`cFortranVectorFunctionCategory``1085549
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Float))))->Union(%,"failed")`cFortranVectorFunctionCategory``1085678
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Integer))))->Union(%,"failed")`cFortranVectorFunctionCategory``1085807
oretractIfCan`1`n`(Vector(Polynomial(Float)))->Union(%,"failed")`cFortranVectorFunctionCategory``1085936
oretractIfCan`1`n`(Vector(Polynomial(Integer)))->Union(%,"failed")`cFortranVectorFunctionCategory``1086065
oretractIfCan`1`x`(%)->Union(S,"failed")`cRetractableTo(S)``1086194
oretractIfCan`1`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``1086344
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1086510
oretractIfCan`1`x`(Polynomial(Integer))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1086637
oretractIfCan`1`x`(Polynomial(R))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1086764
oretract_Q`1`n`(F)->Union(Fraction(Integer),"failed")`pFunctionalSpecialFunction(R,F)``1086891
oretract`1`n`(%)->List(D)`dJetDifferentialEquation(JB,D)``1086950
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``1087041
oretract`1`n`(Expression(Float))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1087165
oretract`1`n`(Expression(Integer))->%`cFortranFunctionCategory``1087494
oretract`1`n`(Expression(Integer))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1087618
oretract`1`n`(Expression(R))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1087947
oretract`1`n`(Fraction(Polynomial(Float)))->%`cFortranFunctionCategory``1088276
oretract`1`n`(Fraction(Polynomial(Float)))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1088400
oretract`1`n`(Fraction(Polynomial(Integer)))->%`cFortranFunctionCategory``1088729
oretract`1`n`(Fraction(Polynomial(Integer)))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1088853
oretract`1`n`(JetBundleExpression(JB))->%`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1089182
oretract`1`n`(JetBundleExpression(JB))->%`dJetBundleXExpression(JB)``1089309
oretract`1`n`(Matrix(Expression(Float)))->%`cFortranMatrixFunctionCategory``1089436
oretract`1`n`(Matrix(Expression(Integer)))->%`cFortranMatrixFunctionCategory``1089560
oretract`1`n`(Matrix(Fraction(Polynomial(Float))))->%`cFortranMatrixFunctionCategory``1089684
oretract`1`n`(Matrix(Fraction(Polynomial(Integer))))->%`cFortranMatrixFunctionCategory``1089808
oretract`1`n`(Matrix(Polynomial(Float)))->%`cFortranMatrixFunctionCategory``1089932
oretract`1`n`(Matrix(Polynomial(Integer)))->%`cFortranMatrixFunctionCategory``1090056
oretract`1`n`(Polynomial(Float))->%`cFortranFunctionCategory``1090180
oretract`1`n`(Polynomial(Float))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1090304
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->%`cFortranFunctionCategory``1090633
oretract`1`n`(Polynomial(Integer))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1090757
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)``1091086
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)``1091209
oretract`1`n`(Vector(Expression(Float)))->%`cFortranVectorFunctionCategory``1091470
oretract`1`n`(Vector(Expression(Integer)))->%`cFortranVectorFunctionCategory``1091594
oretract`1`n`(Vector(Fraction(Polynomial(Float))))->%`cFortranVectorFunctionCategory``1091718
oretract`1`n`(Vector(Fraction(Polynomial(Integer))))->%`cFortranVectorFunctionCategory``1091842
oretract`1`n`(Vector(Polynomial(Float)))->%`cFortranVectorFunctionCategory``1091966
oretract`1`n`(Vector(Polynomial(Integer)))->%`cFortranVectorFunctionCategory``1092090
oretract`1`x`(%)->S`cRetractableTo(S)``1092214
oretract`1`x`(Any)->S`pAnyFunctions1(S)``1092349
oretract`1`x`(Polynomial(Fraction(Integer)))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1092513
oretract`1`x`(Polynomial(Integer))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1092680
oretract`1`x`(Polynomial(R))->%`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1092847
oretractable?`1`n`(%)->Boolean`dAntiSymm(R,lVar)``1093014
oretractable?`1`n`(%)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``1093120
oretractable?`1`n`(%)->Boolean`dFreeMagma(VarSet)``1093247
oretractable?`1`n`(%)->Boolean`dLyndonWord(VarSet)``1093326
oretractable?`1`n`(%)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``1093405
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``1093501
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1093599
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1093723
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),%)->Void`dTheSymbolTable``1093850
oreturnTypeOf`2`n`(Symbol,%)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``1093977
oreturns`0`n`()->%`dFortranCode``1094066
oreturns`1`n`(Expression(Complex(Float)))->%`dFortranCode``1094146
oreturns`1`n`(Expression(Float))->%`dFortranCode``1094249
oreturns`1`n`(Expression(Integer))->%`dFortranCode``1094352
oreturns`1`n`(Expression(MachineComplex))->%`dFortranCode``1094455
oreturns`1`n`(Expression(MachineFloat))->%`dFortranCode``1094558
oreturns`1`n`(Expression(MachineInteger))->%`dFortranCode``1094661
oreverse!`1`n`(%)->%`dListMonoidOps(S,E,un)``1094764
oreverse!`1`n`(A)->A`xListAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oreverse!`1`x`(%)->%`cDequeueAggregate(S)``1094874
oreverse!`1`x`(%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable))`1095047
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1095126
oreverse`1`n`(%)->%`dListMonoidOps(S,E,un)``1095323
oreverse`1`n`(A)->A`xLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1095542
oreverse`1`x`(%)->%`cLinearAggregate(S)`has(%,finiteAggregate)`1095611
oreverse`1`x`(%)->%`cSegmentCategory(S)`has(S,OrderedRing)`1095695
oreverse`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``1095763
orevert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
orevert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``1095869
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``1096064
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)`1096251
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1096557
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)`1096950
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1097234
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)``1097821
orho`0`n`()->Symbol`pMathematicalSymbols``1098639
orhs`1`n`(%)->S2`dSuchThat(S1,S2)``1098702
orhs`1`x`(%)->F`dRewriteRule(Base,R,F)``1098758
orhs`1`x`(%)->S`dEquation(S)``1098829
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1098904
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1099018
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1099132
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1099353
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1099520
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1099741
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1099908
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1100182
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``1100456
oriemannZeta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1100511
oriemannZeta`1`x`(%)->%`cSpecialFunctionCategory``1100570
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``1100629
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``1100856
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``1101083
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``1101243
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``1101616
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)``1101989
orightDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1102305
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`1102515
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(%,%)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1102772
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)`1102883
orightFactorIfCan`3`x`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``1103006
orightFactor`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1103296
orightFamily`1`n`(%)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``1103451
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1103514
orightIdentity`1`n`(%)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1103755
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1103821
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1104023
orightMinimization`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1104259
orightMult`2`n`(%,S)->%`dListMonoidOps(S,E,un)``1104439
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``1104568
orightOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Group)`1104668
orightOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Monoid)`1104727
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``1104786
orightPower`2`x`(%,PositiveInteger)->%`cMagma``1104985
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1105184
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`1105379
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``1105477
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`1105718
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1105959
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)`1106126
orightRecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``1106348
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(%)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1106539
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)``1106713
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1107019
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``1107215
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``1107412
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1107702
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)``1107992
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``1108208
orightTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
orightTrim`2`x`(%,CharacterClass)->%`cStringAggregate``1108303
orightTrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1108501
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1108687
orightUnits`0`n`()->Union(Record(particular:%,basis:List(%)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``1108814
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)`1108939
orightZero`1`x`(%)->%`dEquation(S)`has(S,AbelianGroup)`1109065
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)`1109124
oright`1`n`(%)->%`dFreeMagma(VarSet)``1109363
oright`1`n`(%)->%`dLyndonWord(VarSet)``1109495
oright`1`n`(%)->%`dOutputForm``1109628
oright`1`x`(%)->%`cBinaryRecursiveAggregate(S)``1109697
oright`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1109745
oright`2`n`(%,Integer)->%`dOutputForm``1109820
orischNormalize`2`x`(F,List(Symbol))->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1109910
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1109991
orischNormalize`2`x`(List(F),List(Symbol))->Record(funcs:List(F),kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1110295
orisch_de_ext`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``1110524
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1110805
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1111453
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1111728
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1112073
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``1112575
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``1113092
ormap`2`x`((Kernel(F))->F,F)->F`pElementaryFunctionStructurePackage(R,F)``1113567
oroman`1`x`(Integer)->%`dRomanNumeral``1113677
oroman`1`x`(Symbol)->%`dRomanNumeral``1113738
oromberg`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1113806
orombergo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1114502
oroot?`1`n`(%)->Boolean`dSubSpace(n,R)``1115192
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1115229
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)))`1115326
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)))`1115563
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``1115636
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``1115843
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)``1116093
orootOf`1`x`(Polynomial(%))->%`cAlgebraicallyClosedField``1116217
orootOf`1`x`(SparseUnivariatePolynomial(%))->%`cAlgebraicallyClosedField``1116341
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1116409
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)``1116525
orootOf`2`x`(SparseUnivariatePolynomial(%),PositiveInteger)->Union(%,"failed")`cRealClosedField``1116641
orootOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedField``1116753
orootOf`2`x`(ThePols,PositiveInteger)->Union(%,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1116869
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(%),PositiveInteger,OutputForm)->Union(%,"failed")`cRealClosedField``1116960
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``1117080
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1117253
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1117409
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``1117638
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``1117853
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1117979
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``1118206
orootSum`3`n`(F,SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1118433
orootSum`3`x`(%,SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedFunctionSpace(R)``0
oroot`1`n`(%)->%`dOutputForm``1118471
oroot`2`n`(%,%)->%`dOutputForm``1118546
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->%`cPAdicIntegerCategory(p)``1118630
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)``1118761
orootsOf`1`x`(Polynomial(%))->List(%)`cAlgebraicallyClosedField``1119052
orootsOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cAlgebraicallyClosedField``1119338
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)``1119568
orootsOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->List(%)`cAlgebraicallyClosedField``1119816
orotate!`1`x`(%)->%`cQueueAggregate(S)``1120064
orotate`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1120260
orotate`3`x`(%,Integer,Integer)->Void`dThreeDimensionalViewport``1120503
orotatex`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1120865
orotatey`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1120963
orotatez`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1121061
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1121159
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1121317
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)`1121433
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)`1121625
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1121835
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(%)->%`cRealNumberSystem``1121967
orouteArrowWeight`2`n`(%,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1122031
orouteArrows`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1122138
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)``1122345
orouteNodes`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1122451
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)``1122656
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1122824
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1122931
orowEchelon`1`n`(%)->Record(Ech:%,Lt:Matrix(D),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)``1123121
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1123423
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1123556
orowEchelon`1`n`(Matrix(LO))->Matrix(LO)`pOrePolynomialMatrixOperations(F,LO)``1123637
orowEchelon`1`x`(%)->%`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`1123718
orowEchelon`1`x`(%)->%`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`1123799
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1123880
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1123961
orowEchelon`3`n`(Matrix(LO),F,List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pOrePolynomialMatrixOperations(F,LO)``1124254
orowMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``1124476
orowSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orowSlice`1`x`(%)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``1124584
orowSpan`1`n`(%)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1124732
orow_operation_base`6`n`(M,Integer,Integer,Integer,Integer,R)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1124887
orow_operation_modular`7`n`(M,Integer,Integer,Integer,Integer,R,Integer)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1124955
orow`2`n`(%,Integer)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``1125026
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`x`(%,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1125111
orow`2`x`(%,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1125237
orows`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1125356
orows`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1125449
orquo`2`n`(%,%)->Union(%,"failed")`dFreeMonoid(S)``1125542
orquo`2`n`(%,S)->Union(%,"failed")`dFreeMonoid(S)``1125737
orquo`2`x`(%,%)->%`cXFreeAlgebra(vl,R)``1125822
orquo`2`x`(%,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``1125907
orquo`2`x`(%,vl)->%`cXFreeAlgebra(vl,R)``1125992
orquo`2`x`(XRecursivePolynomial(VarSet,R),%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1126090
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1126175
orsimp1`2`n`(Expression(Integer),Integer)->Union(Expression(Integer),"failed")`pRootSimplification``1126272
orsimp`1`n`(Expression(Integer))->Union(Expression(Integer),"failed")`pRootSimplification``1126478
orspace`2`n`(Integer,Integer)->%`dOutputForm``1126619
orst`1`x`(%)->%`cLazyStreamAggregate(S)``1126715
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1126908
orule`2`x`(F,F)->%`dRewriteRule(Base,R,F)``1129487
orule`3`x`(F,F,List(Symbol))->%`dRewriteRule(Base,R,F)``1129632
orules`1`x`(%)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1130028
oruleset`1`x`(List(RewriteRule(Base,R,F)))->%`dRuleset(Base,R,F)``1130092
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1130180
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1130245
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1131371
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1131845
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1132002
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1132035
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1132047
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1132182
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1132333
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1132488
osafety`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``1132687
osafety`1`x`(NonNegativeInteger)->%`dGuessOption``1132754
osameFace?`2`n`(%,%)->Boolean`dCubicalFacet``1132908
osameFace?`2`n`(%,%)->Boolean`dOrientedFacet``1132995
osamplePoint`1`n`(%)->List(TheField)`dCell(TheField)``1133081
osamplePoint`1`n`(%)->TheField`dSimpleCell(TheField,ThePols)``1133147
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``1133213
osample`0`x`()->%`cAggregate``1133260
osample`0`x`()->%`cMagmaWithUnit``1133307
osample`0`x`()->%`dCartesianTensor(minix,dim,R)``1133354
osample`0`x`()->%`dSymbol``1133407
osatisfy?`2`n`(%,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1133453
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1133687
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1133799
osaturate`2`x`(%,DPoly)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1133944
osaturate`3`x`(%,DPoly,List(VarSet))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1134092
osave`0`n`()->%`dFortranCode``1134261
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1134328
osayLength`1`x`(String)->Integer`pDisplayPackage``1134419
osay`1`x`(List(String))->Void`pDisplayPackage``1134501
osay`1`x`(String)->Void`pDisplayPackage``1134566
oscalar?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1134622
oscalar?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1134667
oscalarMatrix`1`x`(R)->%`cSquareMatrixCategory(ndim,R,Row,Col)``1134736
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->%`cMatrixCategory(R,Row,Col)``1134866
oscalarTypeOf`1`n`(%)->Union(fst:FortranScalarType,void:"void")`dFortranType``1135001
oscaleALS`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``1135073
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1135181
oscale`1`n`(F)->%`dMoebiusTransform(F)``1135285
oscale`2`n`(%,F)->%`dMoebiusTransform(F)``1135393
oscale`3`x`(R,R,R)->%`dDenavitHartenbergMatrix(R)``1135494
oscale`4`n`(%,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1135613
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1135933
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1136619
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1136851
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1137268
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1137599
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1137924
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1138156
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1138480
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1138804
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1138999
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1139108
oscreenCoordX`1`n`(%)->DoubleFloat`cSPointCategory``1139368
oscreenCoordY`1`n`(%)->DoubleFloat`cSPointCategory``1139456
oscreenCoordZ`1`n`(%)->DoubleFloat`cSPointCategory``1139544
oscreenCoords`1`n`(%)->List(DoubleFloat)`cSPointCategory``1139634
oscreenResolution3D`0`n`()->Integer`dPlot3D``1139703
oscreenResolution`0`n`()->Integer`dPlot``1139784
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1139847
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1139920
oscript`2`x`(%,List(List(OutputForm)))->%`dSymbol``1139994
oscript`2`x`(%,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->%`dSymbol``1140350
oscripted?`1`x`(%)->Boolean`dSymbol``1140551
oscripts`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1140633
oscripts`1`x`(%)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1141009
oscripts`2`n`(%,List(%))->%`dOutputForm``1141071
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1141293
osearch`2`x`(Key,%)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1141352
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1141560
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1141658
osec`1`n`(F)->F`pElementaryFunction(R,F)``1141745
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)``1141806
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1141873
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1141940
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1142008
osec`1`x`(%)->%`cTrigonometricFunctionCategory``1142078
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1142131
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1142233
osech`1`n`(F)->F`pElementaryFunction(R,F)``1142322
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)``1142395
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1142478
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1142561
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1142641
osech`1`x`(%)->%`cHyperbolicFunctionCategory``1142723
osecond`1`n`(%)->B`dProduct(A,B)``1142788
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`x`(%)->S`cUnaryRecursiveAggregate(S)``1142852
oseedRandom`0`x`()->Void`dInteger``1142957
oseed`0`x`()->Integer`pRandomNumberSource``1143212
osegment`1`x`(%)->Segment(S)`dSegmentBinding(S)``1143265
osegment`1`x`(S)->%`dUniversalSegment(S)``1143469
osegment`2`x`(S,S)->%`cSegmentCategory(S)``1143551
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)`1143636
oselect!`2`x`((S)->Boolean,%)->%`cExtensibleLinearAggregate(S)``1143783
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1143899
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1144148
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1144395
oselect`2`n`(%,NonNegativeInteger)->S`dTuple(S)``1144600
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)``1144699
oselect`2`x`((S)->Boolean,%)->%`cCollection(S)`has(%,finiteAggregate)`1144807
oselect`2`x`((S)->Boolean,%)->%`cLazyStreamAggregate(S)``1144980
oselect`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``1145159
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1145226
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1145437
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1145588
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1145797
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1145995
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1146110
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1146265
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1146426
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1146642
osemicolonSeparate`1`n`(List(%))->%`dOutputForm``1146898
osendGraphImage`1`n`(%)->Void`dGraphImage``1147001
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(%)->%`cDifferentialPolynomialCategory(R,S,V,E)``1147284
oseparateDegrees`1`n`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``1147409
oseparateFactors`1`n`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``1147561
oseparateFactors`2`n`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``1147727
oseparate_factors`2`n`(List(()->List(PrimitiveArray(PrimeField(p)))),Integer)->List(UP)`pGaloisGroupFactorizerSeparate(p,UP)``0
oseparate`1`n`(%)->List(%)`dSubSpace(n,R)``1147911
oseparate`1`n`(Fraction(UP))->Record(polyPart:%,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1148077
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)`1148117
osequence`1`n`(Stream(R))->%`cSequenceCategory(R)``1148286
osequence`2`n`((R)->R,R)->%`cSequenceCategory(R)``1148354
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1148508
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1148724
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)``1149096
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1149345
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1149456
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1149882
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1150003
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1150122
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1150271
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1150696
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1150915
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1151154
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1151361
oseries`1`n`(Stream(Coef))->%`dInnerTaylorSeries(Coef)``1151469
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->%`dInnerSparseUnivariatePowerSeries(Coef)``1151899
oseries`1`n`(Stream(SMP))->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``1152098
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1152171
oseries`1`x`(Stream(Coef))->%`cUnivariateTaylorSeriesCategory(Coef)``1152352
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->%`cUnivariateLaurentSeriesCategory(Coef)``1152452
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->%`cUnivariateTaylorSeriesCategory(Coef)``1152651
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1152850
oseries`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)``1152911
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1152998
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1153104
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->%`cUnivariatePuiseuxSeriesCategory(Coef)``1153347
oseries`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``1153660
oseries`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1153857
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)``1153943
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)``1154108
oseries`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1154354
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))))`1154545
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``1154789
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1154908
osetArr`2`n`(%,List(List(Boolean)))->Void`cPoset(S)``1155021
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1155067
osetClosed`2`n`(%,Boolean)->Boolean`dTubePlot(Curve)``1155190
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(%,Integer,Col)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1155365
osetCondition!`2`n`(%,C)->%`dSplittingNode(V,C)``1155453
osetDefault!`2`n`((String)->OutputBox,(String)->OutputBox)->Record(prolog:(String)->OutputBox,epilog:(String)->OutputBox)`dFormatter(F)``1155601
osetDialect`1`n`(Symbol)->Symbol`dTexFormat``1155758
osetDifference`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1155973
osetEmpty!`1`n`(%)->%`dSplittingNode(V,C)``1156147
osetEpilogue!`2`n`(%,List(String))->List(String)`dTexFormat``1156215
osetEpilogue!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1156317
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1156443
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1156739
osetFormat!`1`n`(Type)->Void`pJFriCASSupport``1156930
osetFormat!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1156989
osetFormats!`1`n`(List(OutputFormatterCategory))->Void`dFormattedOutput``1157101
osetFormats!`1`n`(List(Type))->Void`pJFriCASSupport``1157212
osetGcdMode`1`n`(Symbol)->Symbol`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`1157480
osetHandler!`4`n`(%,Integer,String,HANDLER)->HANDLER`dOperatorHandlers(HANDLER)``1157662
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1157798
osetIntersection`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1157949
osetLabelValue`1`n`(SingleInteger)->SingleInteger`dFortranCode``1158131
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1158215
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1158304
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1158390
osetMinPoints`1`n`(Integer)->Integer`dPlot``1158479
osetMode`2`x`(String,Boolean)->Boolean`dCliffordAlgebra(n,K,bLin)``1158565
osetMult!`2`n`(%,Integer)->%`dOrientedFacet``1158640
osetMult!`2`n`(%,Integer)->%`dProductFacet``1158671
osetMult`2`n`(%,Integer)->%`dCubicalFacet``1158702
osetNotation`1`n`(Symbol)->Symbol`cJetBundleCategory``1158733
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)``1158828
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1159003
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1159368
osetOutMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1159812
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1160409
osetPosition`2`x`(%,NonNegativeInteger)->Void`cCachableSet``1160474
osetPredicates`2`n`(%,List(Any))->%`dPattern(R)``1160553
osetPrologue!`2`n`(%,List(String))->List(String)`dTexFormat``1160673
osetPrologue!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1160775
osetProperties`2`x`(%,AssociationList(Symbol,None))->%`dBasicOperator``1160901
osetProperty`3`x`(%,Symbol,None)->%`dBasicOperator``1161067
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1161262
osetRedMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1161408
osetRefined!`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1161718
osetRow!`3`n`(%,Integer,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``1161861
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`x`(%,Integer,Row)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1161983
osetRow!`4`n`(%,Integer,List(C),List(D))->Void`dSparseEchelonMatrix(C,D)``1162065
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1162217
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1162311
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``1162387
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1162667
osetSimplifyDenomsFlag`1`x`(Boolean)->Boolean`dExpression(R)`has(R,IntegralDomain)`1162784
osetStatus!`2`n`(%,Boolean)->%`dSplittingNode(V,C)``1162974
osetStatus`2`n`(%,Union(Boolean,"failed"))->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1163116
osetTex!`2`n`(%,List(String))->List(String)`dTexFormat``1163472
osetTopPredicate`3`n`(%,List(Symbol),Any)->%`dPattern(R)``1163564
osetTransform!`2`n`(%,STransform(PT))->Void`dScene(PT)``1163703
osetUnion`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1163801
osetValue!`2`n`(%,V)->%`dSplittingNode(V,C)``1163972
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1164112
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1164253
osetVert`2`n`(%,List(S))->Void`cPoset(S)``1164443
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->%`cSetAggregate(S)``1164493
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->%`cSetAggregate(S)``1164572
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(%,List(%))->%`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1164694
osetelt!`2`n`(%,S)->S`dReference(S)``1164829
osetelt!`3`n`(%,NonNegativeInteger,F)->F`dFreeDivisionAlgebra(VAR,F)``1164913
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)`1165008
osetelt!`3`x`(%,"last",S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1165128
osetelt!`3`x`(%,"left",%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1165245
osetelt!`3`x`(%,"rest",%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1165361
osetelt!`3`x`(%,"right",%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1165478
osetelt!`3`x`(%,"value",S)->S`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1165597
osetelt!`3`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(%,shallowlyMutable)`1165715
osetelt!`3`x`(%,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1165905
osetelt!`3`x`(%,Symbol,Any)->Any`dLibrary``1166024
osetelt!`3`x`(%,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(%,shallowlyMutable)`1166151
osetelt!`4`n`(%,Integer,C,D)->Void`dSparseEchelonMatrix(C,D)``1166445
osetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``1166600
osetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,XDistributedPolynomial(VAR,F))->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``1166768
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)``1166958
osetelt!`4`x`(%,Integer,List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1167140
osetelt!`4`x`(%,Integer,List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1167266
osetelt!`4`x`(%,List(Integer),Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1167481
osetelt!`4`x`(%,List(Integer),List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1167607
osetelt!`4`x`(%,List(Integer),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1167954
osetelt!`4`x`(%,List(Segment(Integer)),Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1168096
osetelt!`4`x`(%,List(Segment(Integer)),List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1168311
osetelt!`4`x`(%,List(Segment(Integer)),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1168518
osetelt!`4`x`(%,Segment(Integer),List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1168724
osetelt!`4`x`(%,Segment(Integer),List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1168866
osetelt!`4`x`(%,Segment(Integer),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1169072
osetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``1169222
osetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1169369
osetfirst!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1169542
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1169667
osetleaves!`2`x`(%,List(S))->%`dBalancedBinaryTree(S)``1169790
osetleft!`2`x`(%,%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1169905
osetnext!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`1169984
osetprevious!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`1170119
osetref`2`n`(%,S)->S`dReference(S)``1170262
osetrest!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1170323
osetrest!`3`x`(%,Integer,%)->%`dStream(S)``1170438
osetright!`2`x`(%,%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1170565
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(%,Integer,Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1170646
osetsubMatrix!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Matrix(R))->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1170876
osetsubPencil!`4`n`(%,NonNegativeInteger,NonNegativeInteger,%)->%`dLinearMultivariateMatrixPencil(R)``1171017
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(%,S)->S`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1171165
osh`2`x`(%,%)->%`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1171242
osh`2`x`(%,NonNegativeInteger)->%`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1171372
oshade`1`n`(Point(R))->R`pPointPackage(R)``1171452
oshade`1`x`(%)->Integer`dPalette``1171781
oshallowCopy`1`n`(%)->%`dSubSpace(n,R)``1171863
oshallowExpand`1`x`(%)->OutputForm`dFreeNilpotentLie(n,class,R)``1171906
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1172016
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1172296
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)``1172421
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)))`1172530
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)``1172707
oshiftLeft`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)``1172813
oshiftRight`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`1172881
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1172973
oshift_mat!`3`n`(MMT,Integer,Integer)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1173090
oshift`1`n`(F)->%`dMoebiusTransform(F)``1173315
oshift`2`n`(%,F)->%`dMoebiusTransform(F)``1173423
oshift`2`x`(%,%)->%`cIntegerNumberSystem``1173524
oshift`2`x`(%,Integer)->%`dFloat``1173587
oshift`2`x`(%,Integer)->%`dNonNegativeInteger``1173664
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1173725
oshowAllElements`1`x`(%)->OutputForm`dStream(S)`has(S,SetCategory)`1173824
oshowArrayValues`1`n`(Boolean)->Boolean`dResult``1173918
oshowClipRegion`2`x`(%,String)->Void`dThreeDimensionalViewport``1174052
oshowElements`2`x`(NonNegativeInteger,%)->OutputForm`dStream(S)`has(S,SetCategory)`1174307
oshowFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``1174417
oshowRegion`2`x`(%,String)->Void`dThreeDimensionalViewport``1174489
oshowScalarValues`1`n`(Boolean)->Boolean`dResult``1174734
oshowTheSymbolTable`0`n`()->%`dTheSymbolTable``1174870
oshowTypeInOutput`1`x`(Boolean)->String`dAny``1174939
oshow`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1175212
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1175465
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1175585
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1175797
osierpinskiDivide`2`n`(%,NonNegativeInteger)->%`dSceneIFS(PT)``1175942
osigma`0`n`()->Symbol`pMathematicalSymbols``1176124
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1176191
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1176243
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1176295
osign`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1176352
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1176404
osign`1`n`(S)->Integer`xOrderedRing&(S)``0
osign`1`x`(%)->%`cSpecialFunctionCategory``1176440
osign`1`x`(%)->Integer`cOrderedRing``1176492
osign`1`x`(%)->Integer`dPermutation(S)``1176607
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1176703
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1176939
osign`2`x`(ThePols,%)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1177019
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1177109
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1177239
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1177374
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1177536
osimpMod`2`n`(List(%),List(%))->List(%)`cJetBundleFunctionCategory(JB)``1177762
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)``1177863
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)``1178013
osimpOne`1`n`(S)->S`xJetBundleFunctionCategory&(S,JB)``0
osimpleCells`1`n`(%)->List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)))`dCell(TheField)``1178106
osimplicialComplexIfCan`1`n`(DeltaComplex(VS))->Union(%,"failed")`dFiniteSimplicialComplex(VS)``1178238
osimplicialComplexIfCan`2`n`(DeltaComplex(VS),Boolean)->Union(%,"failed")`dFiniteSimplicialComplex(VS)``1178419
osimplicialComplex`1`n`(List(VS))->%`dFiniteSimplicialComplex(VS)``1178611
osimplicialComplex`2`n`(List(VS),List(List(NonNegativeInteger)))->%`dFiniteSimplicialComplex(VS)``1178642
osimplicialComplex`3`n`(List(VS),NonNegativeInteger,List(List(NonNegativeInteger)))->%`dFiniteSimplicialComplex(VS)``1178694
osimplicialJoin`3`n`(%,%,Boolean)->%`dFiniteSimplicialComplex(VS)``1178746
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))`1179138
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1179209
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1179538
osimplify`1`n`(%)->%`dGroupPresentation``1179749
osimplify`1`n`(%)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1180234
osimplify`1`n`(%)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``1180538
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1180727
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1180791
osimplify`2`n`(%,Boolean)->%`dGroupPresentation``1181261
osimplify`2`n`(List(%),SparseEchelonMatrix(JB,%))->Record(Sys:List(%),JM:SparseEchelonMatrix(JB,%),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1181298
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)``1181749
osimpsono`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1182435
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1183125
osin?`1`n`(%)->Boolean`dFourierComponent(E)``1183223
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1183308
osin`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1183395
osin`1`n`(E)->%`dFourierComponent(E)``1183462
osin`1`n`(F)->F`pElementaryFunction(R,F)``1183528
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)``1183587
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1183652
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1183717
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1183783
osin`1`x`(%)->%`cTrigonometricFunctionCategory``1183851
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1183902
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1184004
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1184483
osingleFace`1`n`(List(PT))->%`dSceneIFS(PT)``1185068
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1185165
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1185351
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1185607
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1185674
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1185744
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1185825
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1185927
osinh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1186016
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1186085
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)``1186156
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1186237
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1186318
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1186396
osinh`1`x`(%)->%`cHyperbolicFunctionCategory``1186476
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1186539
osipnt`2`n`(Integer,Integer)->%`cSPointCategory``1186654
osipnt`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`3`n`(Integer,Integer,Integer)->%`cSPointCategory``1186746
osipnt`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osivec`2`n`(Integer,Integer)->%`cSPointCategory``1186855
osivec`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osivec`3`n`(Integer,Integer,Integer)->%`cSPointCategory``1186948
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``1187058
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(%,%)->Boolean`cEuclideanDomain``1187135
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1187351
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1187531
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1187711
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1187891
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1187994
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``1188090
osize`0`x`()->NonNegativeInteger`cFinite``1188154
osize`1`n`(%)->NonNegativeInteger`dFreeGroup(S)``1188218
osize`1`n`(%)->NonNegativeInteger`dFreeMonoid(S)``1188285
osize`1`n`(%)->NonNegativeInteger`dListMonoidOps(S,E,un)``1188352
osize`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1188424
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1188466
oski`1`n`(UT)->%`dSKICombinators(UT)``1188657
oski`2`n`(%,%)->%`dSKICombinators(UT)``1188695
oslash`2`n`(%,%)->%`dOutputForm``1188748
oslash`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1188846
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1189105
osmaller?`2`n`(%,%)->Boolean`cComparable``1189299
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)``1189385
osmith`1`n`(Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1189498
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1189560
osmith`2`n`(Matrix(Integer),(Matrix(Integer))->Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1189637
osn2`2`x`(Complex(Float),List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``1189782
osn2`2`x`(Float,List(Float))->Float`pFloatEllipticFunctions``1189803
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1189824
osolid?`1`n`(%)->Boolean`dSubSpaceComponentProperty``1189873
osolid`2`n`(%,Boolean)->Boolean`dSubSpaceComponentProperty``1189911
osolutionVector`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1189953
osolutionVector`2`n`(%,NonNegativeInteger)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1190058
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1190216
osolveFor`2`n`(%,JB)->Union(%,"failed")`cJetBundleFunctionCategory(JB)``1190487
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1190579
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1190729
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)``1190877
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)``1190993
osolveLinearOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1191406
osolveLinearOverConstants`3`n`(Vector(F),F,List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1191621
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1191836
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1192085
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1192501
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1192766
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1193081
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``1193346
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))`1193611
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1193807
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))`1194003
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1194199
osolveLinearlyOverQ`2`x`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1194395
osolveLinearlyOverQ`2`x`(Vector(R),R)->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1194598
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1194801
osolveUniquely`2`n`(Matrix(S),Vector(S))->Union(Vector(S),"failed")`pLinearSystemMatrixPackage2(S)``1195057
osolve_u`3`n`(F,F,Symbol)->Union(List(List(F)),"failed")`pDenominatorIntegration(R,F)``1195203
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1195413
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1195593
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1195630
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1195840
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1195970
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1196169
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1196306
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1196459
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1196599
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1196777
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1196894
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1197010
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1197195
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1197400
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1197514
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1197695
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1197910
osolve`2`x`(List(Equation(Expression(R))),List(Expression(R)))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1198049
osolve`2`x`(List(Equation(Expression(R))),List(Kernel(Expression(R))))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1198275
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1198416
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1198557
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1198762
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1198916
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1199131
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1199272
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1199481
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1199629
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1199777
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1199986
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1200195
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1200314
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)``1200462
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)``1200564
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1200990
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1201789
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1202541
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1203109
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1203522
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1203935
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1204261
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)``1204520
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1205106
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1205401
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1205696
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1205944
osomeBasis`0`x`()->Vector(%)`cFiniteRankNonAssociativeAlgebra(R)``1206129
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))`1206191
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))`1206269
osortLD`1`n`(List(%))->List(%)`cJetBundleFunctionCategory(JB)``1206353
osortLD`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osort`1`n`(%)->%`dFiniteSimplicialComplex(VS)``1206453
osort`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort`1`x`(%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`1206465
osort`1`x`(List(%))->List(%)`dPermutation(S)``1206578
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)``1206862
osort`2`x`((S,S)->Boolean,%)->%`cLinearAggregate(S)`has(%,finiteAggregate)`1207059
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))`1207161
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)`1207244
osortedPurge!`2`n`(%,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``1207335
ospace`0`x`()->%`dCharacter``1207494
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1207546
ospace`1`x`(ThreeSpace(DoubleFloat))->%`dDrawOption``1207742
ospanningForestArrow`1`n`(%)->List(Tree(Integer))`cFiniteGraph(S)``1207853
ospanningForestArrow`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestNode`1`n`(%)->List(Tree(Integer))`cFiniteGraph(S)``1207934
ospanningForestNode`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningTreeArrow`2`n`(%,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1208015
ospanningTreeArrow`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeNode`2`n`(%,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1208488
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)``1208865
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)``1208932
ospecialise`2`n`(List(Polynomial(TheField)),Cell(TheField))->List(SparseUnivariatePolynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``1209142
osphereSolid`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1209247
osphereSolid`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1209412
osphereSurface`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1209583
osphereSurface`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1209758
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1209966
osplit!`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1210234
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1210555
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1210682
osplitDenominator`1`n`(P)->Record(num:P,den:R)`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``1210871
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1211025
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1211214
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)``1211364
osplitList`2`n`((T)->Boolean,List(T))->Record(yes:List(T),no:List(T))`pListPackage(T)``1211582
osplitNodeOf!`3`n`(%,%,List(SplittingNode(V,C)))->%`dSplittingTree(V,C)``1211712
osplitNodeOf!`4`n`(%,%,List(SplittingNode(V,C)),(C,C)->Boolean)->%`dSplittingTree(V,C)``1211964
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1212235
osplit_mat!`6`n`(MMT,Integer,Integer,Integer,PMD,PMD)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1212571
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1212948
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1213142
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1213336
osplit`2`n`(P,(P)->P)->Record(normal:P,special:P)`pParallelIntegrationTools(R,V,P)``1213427
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1213693
osplit`2`x`(%,Character)->List(%)`cStringAggregate``1213960
osplit`2`x`(%,CharacterClass)->List(%)`cStringAggregate``1214050
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1214146
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1214949
osplit`2`x`(S,%)->Record(less:%,greater:%)`dBinarySearchTree(S)``1215096
ospnt`2`n`(DoubleFloat,DoubleFloat)->%`cSPointCategory``1215276
ospnt`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->%`cSPointCategory``1215368
osqfrFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``1215477
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1215632
osqrt`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1215711
osqrt`1`n`(%)->%`dInnerPrimeField(p)``1215780
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``1216050
osqrt`1`x`(%)->%`cRealClosedField``1216190
osqrt`1`x`(%)->%`dPrimeField(p)``1216232
osqrt`1`x`(Fraction(Integer))->%`cRealClosedField``1216406
osqrt`1`x`(Integer)->%`cRealClosedField``1216448
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(%,Integer)->%`cPAdicIntegerCategory(p)``1216490
osqrt`2`x`(%,PositiveInteger)->%`cRealClosedField``1216615
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)``1216662
osquare?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1216837
osquareFreeBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``1217012
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1217118
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1217211
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1217610
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)`1217781
osquareFreePart`1`x`(%)->%`cUniqueFactorizationDomain``1217917
osquareFreePart`2`x`(P,%)->List(Record(val:P,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``1218030
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``1218543
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1218658
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1218744
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1218850
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1219028
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)``1219218
osquareFree`1`x`(%)->Factored(%)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1219392
osquareFree`1`x`(%)->Factored(%)`cUniqueFactorizationDomain``1219486
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1219671
osquareMatrix`1`n`(Matrix(R))->%`dSquareMatrix(ndim,R)``1220004
osquareTop`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osquareTop`1`x`(%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1220123
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1220294
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1220428
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1220562
ostack`1`x`(List(S))->%`dStack(S)``1220695
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1220851
ostar`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``1221526
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1221639
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1222083
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1222208
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1222314
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1222420
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)``1222526
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostarts`1`n`(List(Boolean))->%`dBitStreamFrame``1222635
ostarts`1`n`(String)->%`dBitStreamFrame``1222663
ostatement2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``1222733
ostatistics`0`n`()->Void`dJetLazyFunction(JB,D)``1222769
ostatistics`0`n`()->Void`pUnittestCount``1222979
ostatus`1`n`(%)->Boolean`dSplittingNode(V,C)``1223120
ostatus`1`n`(%)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1223185
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1223327
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1223431
ostirling`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1223537
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1223626
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1223899
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1224193
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1224284
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1224375
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1224466
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostop`0`n`()->%`dFortranCode``1224560
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)``1224627
ostransform`1`n`((PT)->PT)->%`dSTransform(PT)``1224810
ostransform`1`n`(List(DoubleFloat))->%`dSTransform(PT)``1224917
ostransform`1`n`(List(List(DoubleFloat)))->%`dSTransform(PT)``1224985
ostranslate`6`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->%`dSTransform(PT)``1225061
ostream`1`n`(%)->Stream(R)`cSequenceCategory(R)``1225345
ostream`1`x`(()->S)->%`dStream(S)``1225395
ostream`2`x`((S)->S,S)->%`dInfiniteTuple(S)``1225546
ostream`2`x`((S)->S,S)->%`dStream(S)``1225621
ostring?`1`n`(OutputForm)->Boolean`pOutputFormTools``1225859
ostring?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1225947
ostring`1`n`(OutputForm)->String`pOutputFormTools``1226036
ostring`1`x`(%)->Str`cSExpressionCategory(Str,Sym,Int,Flt)``1226149
ostring`1`x`(%)->String`dSymbol``1226286
ostring`1`x`(Integer)->%`cStringCategory``1226389
ostripCommentsAndBlanks`1`n`(String)->String`pTemplateUtilities``1226473
ostrongGenerators`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``1226616
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1226701
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``1226947
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``1227106
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1227229
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1227486
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)``1227743
ostructuralConstants`1`x`(Vector(%))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1228034
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1228313
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1228746
ostruveH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1229179
ostruveH`2`x`(%,%)->%`cSpecialFunctionCategory``1229242
ostruveL`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1229305
ostruveL`2`x`(%,%)->%`cSpecialFunctionCategory``1229460
ostube`3`n`(List(Record(source:(DoubleFloat)->PT,ranges:List(Segment(DoubleFloat)),knots:List(DoubleFloat),points:List(PT))),DoubleFloat,Integer)->%`dSceneIFS(PT)``1229615
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1229730
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1229790
ostyle`1`x`(String)->%`dDrawOption``1229935
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1230111
osu_irreducible?`1`n`(SparseUnivariatePolynomial(F))->Boolean`pUnivariateFiniteFieldFactorize(F,UP)``1230316
osub1!`2`n`(PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1230423
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1230498
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1230598
osubMatrix`3`n`(M,List(Integer),List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1230698
osubMatrix`3`n`(M,Segment(Integer),Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1230807
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)``1230916
osubMatrix`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1231128
osubNode?`3`n`(%,%,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1231268
osubNodeOf?`3`n`(SplittingNode(V,C),%,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1231406
osubPencil`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``1231584
osubPencil`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1231708
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1231820
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1231920
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1232020
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1232163
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1232306
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1232457
osubResultantChain`2`x`(%,%)->List(%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1232624
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1232812
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1233025
osubResultantGcd`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1233138
osubResultantGcd`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1233469
osubResultantsChain`2`n`(%,%)->List(%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1233617
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1233760
osubSylvesterMatrix`2`n`(M,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1234110
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)``1234206
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)``1234286
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1234382
osub_poly`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1234478
osub`2`n`(%,%)->%`dOutputForm``1234573
osubdiagramSvg`4`n`(Scene(SCartesian(2)),%,Boolean,Boolean)->Void`cFiniteGraph(S)``1234652
osubdiagramSvg`4`n`(Scene(SCartesian(2)),A,Boolean,Boolean)->Void`xFiniteGraph&(A,S)``0
osubdivide`1`n`(%)->%`dSceneIFS(PT)``1234931
osubmod`3`x`(%,%,%)->%`cIntegerNumberSystem``1235083
osubordinationConvolution`2`n`(%,%)->%`cDistributionCategory(R)``1235168
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1235296
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)`1235492
osubscript`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1235635
osubscript`2`x`(%,List(OutputForm))->%`dSymbol``1235945
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(%,%)->Boolean`cSetAggregate(S)``1236051
osubsetLattice`1`n`(List(S))->%`dSubsetLattice(S,top)``1236222
osubspace?`2`n`(%,%)->Boolean`dVectorSpaceBasis(R)``1236262
osubspace`0`n`()->%`dSubSpace(n,R)``1236348
osubspace`1`x`(%)->SubSpace(3,R)`cThreeSpaceCategory(R)``1236387
osubspace`1`x`(%)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1236525
osubspace`2`x`(%,ThreeSpace(DoubleFloat))->%`dThreeDimensionalViewport``1236709
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)``1236922
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)``1237038
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)`1237168
osubst`2`x`(%,Equation(%))->%`cExpressionSpace``1237301
osubst`2`x`(%,List(Equation(%)))->%`cExpressionSpace``1237396
osubst`3`n`(%,%,%)->%`dLambda(UT)``1237556
osubst`3`n`(%,JB,%)->%`cJetBundleFunctionCategory(JB)``1237612
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``1237728
osubstitute`3`n`(S,S,%)->%`dListMultiDictionary(S)``1237895
osubstring?`3`x`(%,%,Integer)->Boolean`cStringAggregate``1238006
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(%,%)->Union(%,"failed")`cCancellationAbelianMonoid``1238174
osubtract`2`n`(%,%)->%`dOrientedFacet``1238300
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1238377
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1238499
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1238660
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1238768
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1238939
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1239012
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1239147
osuchThat`3`x`(%,List(Symbol),(List(F))->Boolean)->%`dRewriteRule(Base,R,F)``1239289
osufactor_square_free`1`n`(SparseUnivariatePolynomial(F))->List(SparseUnivariatePolynomial(F))`pUnivariateFiniteFieldFactorize(F,UP)``1239436
osufactor`1`n`(SparseUnivariatePolynomial(F))->Record(cont:F,factors:List(Record(factor:SparseUnivariatePolynomial(F),exponent:NonNegativeInteger)))`pUnivariateFiniteFieldFactorize(F,UP)``1239544
osuffix?`2`x`(%,%)->Boolean`cStringAggregate``1239610
osumBasis`1`n`(List(%))->%`dVectorSpaceBasis(R)``1239876
osumBasis`1`n`(List(List(Vector(R))))->%`dVectorSpaceBasis(R)``1240029
osumBasis`2`n`(%,%)->%`dVectorSpaceBasis(R)``1240214
osumBasis`2`n`(List(Vector(R)),List(Vector(R)))->%`dVectorSpaceBasis(R)``1240297
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1240434
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1240628
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1240887
osum`1`n`(%)->%`dOutputForm``1241121
osum`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1241204
osum`2`n`(%,%)->%`dOutputForm``1241401
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1241516
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1241698
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1241805
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1241907
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1241984
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1242166
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1242243
osum`3`n`(%,%,%)->%`dOutputForm``1242425
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1242581
osummands`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``1242660
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1242792
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1242898
osummation`2`x`(%,SegmentBinding(%))->%`cCombinatorialOpsCategory``1243054
osummation`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``1243160
osunion`2`n`(%,%)->%`dSBoundary(PT)``1243316
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1243547
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1243759
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``1243971
osup`1`x`(%)->R`cIntervalCategory(R)``1244155
osup`2`x`(%,%)->%`cOrderedAbelianMonoidSup``1244210
osuper`2`n`(%,%)->%`dOutputForm``1244319
osuperscript`2`x`(%,List(OutputForm))->%`dSymbol``1244402
osupersub`2`n`(%,List(%))->%`dOutputForm``1244512
osupport`1`n`(A)->List(S)`xFreeModuleCategory&(A,R,S)``0
osupport`1`x`(%)->List(S)`cFreeModuleCategory(R,S)``1244650
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->%`dParametricSurface(ComponentFunction)``1244737
osvec`2`n`(DoubleFloat,DoubleFloat)->%`cSPointCategory``1244872
osvec`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->%`cSPointCategory``1244965
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(%,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(%,shallowlyMutable)`1245075
oswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1245208
oswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1245312
oswapColumns!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(%,Integer,Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1245439
oswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1245580
oswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1245678
oswapRows!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(%,Integer,Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1245799
oswapRowsColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1245934
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1246073
oswap`1`x`(%)->%`dEquation(S)``1246143
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1246227
osylvesterMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1246349
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1246482
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1246681
osymbol?`1`n`(%)->Boolean`dPattern(R)``1246815
osymbol?`1`n`(OutputForm)->Boolean`pOutputFormTools``1246871
osymbol?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1246959
osymbolIfCan`1`n`(%)->Union(Symbol,"failed")`cKernelCategory(S)``1247048
osymbolTableOf`2`n`(Symbol,%)->SymbolTable`dTheSymbolTable``1247164
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->%`dSymbolTable``1247239
osymbol`1`n`(List(%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``1247322
osymbol`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
osymbol`1`n`(OutputForm)->Symbol`pOutputFormTools``1247416
osymbol`1`x`(%)->Sym`cSExpressionCategory(Str,Sym,Int,Flt)``1247529
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)``1247666
osymmetric?`1`x`(%)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1247868
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)``1248070
osymmetricGroup`1`n`(PositiveInteger)->%`dGroupPresentation``1248452
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1248595
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1248868
osymmetricPower`2`x`(%,NonNegativeInteger)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1249074
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1249262
osymmetricProduct`2`x`(%,%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1249490
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1249698
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(%,%)->%`cIntegerNumberSystem``1249946
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1250054
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1250159
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1250725
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1251258
otRange`1`n`(%)->Segment(DoubleFloat)`dPlot3D``1251476
otRange`1`n`(%)->Segment(DoubleFloat)`dPlot``1251566
otValues`1`n`(%)->List(List(DoubleFloat))`dPlot3D``1251655
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1251814
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1251847
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1251919
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1252125
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1252431
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->%`cTableAggregate(Key,Entry)``1252727
otable`1`n`((Key)->SingleInteger)->%`dXHashTable(Key,Entry)``1252800
otable`1`n`(List(%))->TwoDimensionalArray(%)`dJetVectorField(JB,D)``1253136
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)``1253225
otableau`1`x`(List(List(S)))->%`dTableau(S)``1253332
otableau`2`n`(SparseEchelonMatrix(JB,D),JetDifferential(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1253407
otableau`2`n`(SparseEchelonMatrix(JB,D),List(JetDifferential(JB,D)))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1253497
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)``1253606
otail`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``1253734
otail`1`x`(%)->%`cUnaryRecursiveAggregate(S)``1253854
otails`1`x`(%)->List(%)`dList(S)``1253939
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1254057
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1254155
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1254259
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1254367
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1254454
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1254564
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1254646
otan`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1254820
otan`1`n`(F)->F`pElementaryFunction(R,F)``1254887
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)``1254949
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1255017
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1255085
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1255154
otan`1`x`(%)->%`cTrigonometricFunctionCategory``1255225
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1255279
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1255381
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1255490
otanh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1255579
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1255648
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)``1255722
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1255806
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1255890
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1255971
otanh`1`x`(%)->%`cHyperbolicFunctionCategory``1256054
otau`0`n`()->Symbol`pMathematicalSymbols``1256120
otaylorIfCan`1`x`(%)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1256183
otaylorQuoByVar`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)``1256339
otaylorRep`1`x`(%)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1256434
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1256553
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1256759
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1256965
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1257171
otaylor_via_lode`3`n`(List(UTS),PS,List(Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1257377
otaylor`1`x`(%)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1257533
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1257674
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1257855
otaylor`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)``1257923
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1258010
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1258123
otaylor`3`n`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries2(FE)``1258366
otaylor`3`n`((Integer)->R,Symbol,R)->Any`pGenerateUnivariatePowerSeries1(R)``1258551
otaylor`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`1258639
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)``1258725
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)``1258892
otaylor`4`n`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`1259079
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)``1259264
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1259440
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1259809
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1259908
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1260305
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)``1260590
otensor`2`n`(%,%)->%`dOutputForm``1260699
otensor`2`n`(M,M)->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`2`x`(M,N)->%`cTensorProductCategory(R,M,N)``1260765
oterminal`1`n`(S)->%`cFiniteGraph(S)``1260863
oterminal`1`n`(S)->A`xPoset&(A,S)``0
oterms`1`x`(%)->List(Record(k:M,c:R))`cMonoidRingCategory(R,M)``1260954
oterms`1`x`(%)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1261114
otestAbsolutePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1261473
otestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1261653
otestComplexEquals`2`n`(String,String)->Void`pUnittest``1261882
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1262104
otestEqualsAuxCmp`2`n`(R,R)->Boolean`pUnittestAux(R)``1262221
otestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1262287
otestEquals`2`n`(String,String)->Void`pUnittest``1262577
otestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1262853
otestLibraryError`1`n`(String)->Void`pUnittest``1262983
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1263102
otestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1263302
otestNotEquals`2`n`(String,String)->Void`pUnittest``1263415
otestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1263514
otestRealEquals`2`n`(String,String)->Void`pUnittest``1263740
otestRelativePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1263956
otestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1264136
otestTrue`1`n`(String)->Void`pUnittest``1264211
otest`1`x`(%)->Boolean`dBoolean``1264275
otestcaseNoClear`1`n`(String)->Void`pUnittestCount``1264371
otestcase`1`n`(String)->Void`pUnittestCount``1264529
otestco`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1264673
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)``1264695
otestcx`2`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer))->UnivariatePolynomial(var,Expression(Integer))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1264717
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)``1264739
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)``1264761
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)``1264783
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)``1264805
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)``1264827
otestgt`2`n`(Expression(Integer),Kernel(Expression(Integer)))->Expression(Integer)`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1264849
otestis`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1264871
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)``1264893
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)``1264915
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)``1264937
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)``1264959
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)``1264981
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)``1265003
otestpd`1`n`(UnivariatePolynomial(var,Expression(Integer)))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1265025
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)``1265047
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)``1265069
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)``1265091
otestsuiteNoClear`1`n`(String)->Void`pUnittestCount``1265113
otestsuite`1`n`(String)->Void`pUnittestCount``1265275
otex`1`n`(%)->List(String)`dTexFormat``1265426
otheMap`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1265496
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1265560
otheta`0`n`()->Symbol`pMathematicalSymbols``1265836
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(%)->S`cUnaryRecursiveAggregate(S)``1265903
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1266011
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1266214
otitle`1`x`(String)->%`dDrawOption``1266335
otitle`2`n`(%,String)->Void`dTwoDimensionalViewport``1266477
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1266634
otitle`2`x`(%,String)->Void`dThreeDimensionalViewport``1266839
otoCayleyGraph`1`n`(PermutationGroup(S))->MultifunctionGraph(String)`dMultifunctionGraph(S)``1267000
otoCayleyGraph`2`n`(List(Permutation(S)),Boolean)->MultifunctionGraph(String)`dMultifunctionGraph(S)``1267050
otoObj`6`n`(%,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),Record(mins:PT,maxs:PT))->Void`dScene(PT)``1267261
otoObj`6`n`(%,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),SBoundary(PT))->Void`dScene(PT)``1267386
otoPermutationIfCan`1`n`(%)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1268226
otoPermutationIfCan`2`n`(%,Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1268436
otoPermutationIfCan`3`n`(%,List(List(Integer)),Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1268646
otoPermutation`1`n`(%)->PermutationGroup(NonNegativeInteger)`dMultifunctionGraph(S)``1268868
otoPoint`1`n`(%)->%`cSPointCategory``1268965
otoSVG`8`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),Record(mins:PT,maxs:PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1269139
otoSVG`8`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1269264
otoScale`1`x`(Boolean)->%`dDrawOption``1270080
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1270310
otoStringConven`2`n`(%,List(String))->String`dLambda(UT)``1270519
otoStringUnwrapped`1`n`(%)->String`dILogic``1270810
otoStringUnwrapped`1`n`(%)->String`dLatticeJoinOfMeets``1270889
otoStringUnwrapped`1`n`(%)->String`dLatticeMeetOfJoins``1270968
otoString`1`n`(%)->String`cVarCat``1271047
otoString`1`n`(%)->String`dILogic``1271100
otoString`1`n`(%)->String`dLambda(UT)``1271170
otoString`1`n`(%)->String`dLatticeJoinOfMeets``1271389
otoString`1`n`(%)->String`dLatticeMeetOfJoins``1271459
otoString`1`n`(%)->String`dSKICombinators(UT)``1271529
otoString`1`n`(%)->String`dSceneNamedPoints(PT)``1271543
otoString`1`n`(S)->String`xFloatingPointSystem&(S)``0
otoString`1`x`(%)->String`cFloatingPointSystem``1271619
otoString`2`n`(S,NonNegativeInteger)->String`xFloatingPointSystem&(S)``0
otoString`2`x`(%,NonNegativeInteger)->String`cFloatingPointSystem``1271692
otoTable`1`x`((%)->%)->Matrix(%)`dCliffordAlgebra(n,K,bLin)``1271805
otoTable`1`x`((%,%)->%)->Matrix(%)`dCliffordAlgebra(n,K,bLin)``1271970
otoVector`1`n`(%)->%`cSPointCategory``1272259
otoX3D`4`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),Record(mins:PT,maxs:PT))->XmlElement`dScene(PT)``1272426
otoX3D`4`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT))->XmlElement`dScene(PT)``1272551
oto_UP`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))`dFakePolynomial``0
oto_mod_pa`1`n`(SparseUnivariatePolynomial(Integer))->PrimitiveArray(PrimeField(p))`pVectorPolynomialOperationsP(p)``1272966
oto_mod_pa`1`n`(SparseUnivariatePolynomial(K))->PrimitiveArray(K)`pVectorPolynomialOperationsF(K)``1273093
oto_mod_pa`2`n`(SparseUnivariatePolynomial(Integer),Integer)->U32Vector`pU32VectorPolynomialOperations``1273150
otoggleAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1273282
otoggleDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1273369
otopFortranOutputStack`0`n`()->String`pFortranOutputStackPackage``1273424
otopPredicate`1`n`(%)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1273514
otop_split`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``1273716
otop`1`x`(%)->S`cStackAggregate(S)``1273897
otopologicalSort!`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1274067
otopologicalSort`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1274227
otopologicalSort`2`n`(List(List(Boolean)),List(T))->List(T)`pListPackage(T)``1274345
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1274585
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1274896
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1275002
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1275042
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1275248
otorusSurface`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``1275292
otorusSurface`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1275347
otorusSurface`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1275423
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1275504
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1275637
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1275770
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1275907
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1276050
ototalDegreeSorted`2`n`(%,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1276182
ototalDegreeSorted`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(%)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1276396
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)``1276500
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)``1276643
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1276747
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1277011
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1277194
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1277425
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``1277461
otower`1`x`(List(%))->List(Kernel(%))`cExpressionSpace``1277566
otrace2PowMod`3`n`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1277703
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1277863
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1278032
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)``1278201
otracePowMod`3`n`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1278317
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)``1278440
otrace`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1278550
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1278687
otrace`2`x`(%,PositiveInteger)->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1278786
otrailingCoefficient`1`n`(%)->R`dLaurentPolynomial(R,UP)``1279132
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1279180
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(%)->Boolean`cExtensionField(F)``1279308
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)``1279432
otransformColumns!`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``1279519
otransformRows!`2`n`(%,Matrix(F))->%`dFreeDivisionAlgebra(VAR,F)``1279632
otransformRows!`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``1279715
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``1279824
otransform`1`n`(JB1)->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1279862
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1279966
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JetBundleSymAna(JB1,xi,eta))`pSymmetryAnalysis(JB1,xi,eta)``1280053
otransformationMatrices`1`n`(Matrix(F))->List(Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``1280150
otransformationMatrix`1`n`(%)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1280344
otransition_matrices`1`n`(%)->List(Matrix(Integer))`dChainComplex``1280477
otranslate`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1280554
otranslate`3`x`(R,R,R)->%`dDenavitHartenbergMatrix(R)``1280780
otranslate`4`n`(%,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1280892
otranspose`1`n`(%)->%`dSquareMatrix(ndim,R)``1281355
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)``1281428
otranspose`1`x`(%)->%`dCartesianTensor(minix,dim,R)``1281500
otranspose`1`x`(Row)->%`cMatrixCategory(R,Row,Col)``1281759
otranspose`3`x`(%,Integer,Integer)->%`dCartesianTensor(minix,dim,R)``1281829
otrapezoidal`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1282135
otrapezoidalo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1282839
otraverse`2`n`(%,List(NonNegativeInteger))->%`dSubSpace(n,R)``1283537
otree`1`x`(List(S))->%`dTree(S)``1283884
otree`1`x`(S)->%`dTree(S)``1283959
otree`2`x`(S,List(%))->%`dTree(S)``1284038
otrial_division`5`n`(MP,Polynomial(Integer),List(MP),Symbol,List(Symbol))->Boolean`cModularEvaluationCategory(PT,MP)``1284130
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1284375
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1284466
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1284557
otriangle`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dDeltaComplex(VS)``1285592
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1285638
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1285832
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)``1286188
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)``1286278
otriangulate`2`n`(Matrix(LO),List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pSystemODESolver(F,LO)``1286652
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1286893
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pInnerTrigonometricManipulations(R,F,FG)``1287063
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pTrigonometricManipulationsAux(G,FG)``1287378
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1287693
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1287822
otrim_mat!`4`n`(MMT,Integer,Integer,PMD)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1287951
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``1288210
otrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1288398
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1288589
otrueEqual`2`x`(%,%)->Boolean`dAlgebraicNumber``1288691
otrue`0`x`()->%`cLogic``1288771
otrunc`2`x`(%,NonNegativeInteger)->%`cFreeLieAlgebra(VarSet,R)``1288813
otrunc`2`x`(%,NonNegativeInteger)->%`cXPolynomialsCat(vl,R)``1288902
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(%)->%`cRealNumberSystem``1288991
otruncate`2`x`(%,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``1289080
otruncate`3`x`(%,Expon,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``1289213
otruncated_mul_add2`6`n`(U32Vector,U32Vector,U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1289376
otruncated_mul_add`5`n`(U32Vector,U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``1289541
otruncated_multiplication`4`n`(U32Vector,U32Vector,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``1289662
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1289765
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1289911
otryTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1290105
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``1290295
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1290576
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1290847
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1291212
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1291575
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1291713
otubePoints`1`x`(PositiveInteger)->%`dDrawOption``1291857
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1292074
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1292289
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1292367
otubeRadius`1`x`(Float)->%`dDrawOption``1292458
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1292604
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1292819
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->%`dTubePlot(Curve)``1292912
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1293228
otypeList`2`n`(FortranScalarType,%)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1293330
otypeLists`1`n`(%)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1293421
otype`1`n`(%)->Symbol`cJetBundleCategory``1293508
oucodeToString`1`x`(Integer)->%`dString``1293618
ouentries`1`x`(%)->List(SingleInteger)`dString``1293761
ounary?`1`x`(%)->Boolean`dBasicOperator``1294091
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1294145
ounbind`1`n`(%)->%`dLambda(UT)``1294196
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1294287
ounderscore`0`x`()->%`dCharacter``1294529
oundirectedGraph`1`n`(FinitePoset(S))->%`dUndirectedGraph(S)``1294678
oundirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->%`dUndirectedGraph(S)``1294855
oundirectedGraph`1`n`(List(S))->%`dUndirectedGraph(S)``1294959
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)``1295231
oundirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dUndirectedGraph(S)``1295346
oundirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dUndirectedGraph(S)``1295416
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->%`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->%`dXRecursivePolynomial(VarSet,R)``1295605
ouniform01`0`n`()->Float`pRandomFloatDistributions``1295667
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1295707
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1295746
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1295785
ounion`1`n`(List(%))->%`dSBoundary(PT)``1295829
ounion`2`n`(%,%)->%`dPatternMatchResult(R,S)``1295973
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)``1296043
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)``1296129
ounion`2`x`(%,S)->%`cSetAggregate(S)``1296259
ounion`2`x`(S,%)->%`cSetAggregate(S)``1296445
ounit?`1`n`(S)->Boolean`xEntireRing&(S)``0
ounit?`1`x`(%)->Boolean`cEntireRing``1296631
ounitCanonical`1`n`(S)->S`xEntireRing&(S)``0
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`x`(%)->%`cEntireRing``1296723
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``1296794
ounitNormalize`1`x`(%)->%`dFactored(R)``1297108
ounitPart`1`n`(%)->Fraction(Integer)`dIntegerLocalizedAtPrime(p)``1297309
ounitStep`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1297463
ounitStep`1`x`(%)->%`cSpecialFunctionCategory``1297556
ounitVector`1`n`(%)->%`cSPointCategory``1297649
ounitVector`1`n`(IS)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1297779
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1297821
ounitVector`1`x`(PositiveInteger)->%`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,Monoid))`1297966
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1298060
ounit`1`x`(%)->R`dFactored(R)``1298172
ounit`1`x`(List(Float))->%`dDrawOption``1298239
ounit`2`n`(List(S),String)->%`cFiniteGraph(S)``1298393
ounit`2`n`(List(S),String)->A`xPoset&(A,S)``0
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1298646
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1298742
ounits`1`n`(%)->List(Float)`dGraphImage``1298860
ounits`2`n`(%,List(Float))->List(Float)`dGraphImage``1299045
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1299346
ounits`3`n`(%,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1299550
ounits`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1299804
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1300071
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial('x,Coef)`dUnivariateFormalPowerSeries(Coef)``0
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1300169
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1300328
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1300487
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1300667
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1300915
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301078
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301187
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301360
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301478
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1301607
ounivariate`1`x`(%)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1302401
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1302668
ounivariate`2`n`(S,Kernel(S))->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace&(S,R)``0
ounivariate`2`x`(%,Kernel(%))->Fraction(SparseUnivariatePolynomial(%))`cFunctionSpace(R)`has(R,IntegralDomain)`1302772
ounivariate`2`x`(%,VarSet)->SparseUnivariatePolynomial(%)`cPolynomialCategory(R,E,VarSet)``1302867
ounivariate`2`x`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``1303074
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1303178
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1303349
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1303495
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1303552
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->%`cFiniteSetAggregate(S)`has(S,Finite)`1303591
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)``1303687
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->%`cUnivariatePolynomialCategory(R)``1303842
ounpack_poly`5`n`(List(Symbol),SortedExponentVector,PrimitiveArray(Integer),Integer,Integer)->SparseUnivariatePolynomial(Polynomial(Integer))`pModularHermitePade``1304001
ounparse`1`n`(%)->String`dInputForm``1304295
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1304460
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1304811
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1305336
ounravel`1`x`(List(R))->%`dCartesianTensor(minix,dim,R)``1305937
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1306060
ounvectorise`1`n`(Vector(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounvectorise`1`x`(Vector(R))->%`cUnivariatePolynomialCategory(R)``1306190
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1306318
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)``1306551
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``1306586
oupdate!`2`n`(%,SingleInteger)->%`dHashState``1306621
oupdateStatus!`1`n`(%)->%`dSplittingTree(V,C)``1306768
oupdate`3`n`(%,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1306894
oupperCase!`1`x`(%)->%`cStringAggregate``1307078
oupperCase?`1`x`(%)->Boolean`dCharacter``1307207
oupperCase`0`x`()->%`dCharacterClass``1307318
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(%)->%`cStringAggregate``1307442
oupperCase`1`x`(%)->%`dCharacter``1307523
oupperSet`1`n`(%)->%`cPoset(S)``1307692
ouppertriangular?`2`n`(%,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1307834
oupsilon`0`n`()->Symbol`pMathematicalSymbols``1307914
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1307985
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1308114
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1308311
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1308483
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1308703
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1308838
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1308913
ovalidate`1`n`(%)->Boolean`dChainComplex``1309078
ovalidate`1`n`(%)->Boolean`dCoChainComplex(VS)``1309194
ovalue`1`n`(%)->SingleInteger`dHashState``1309321
ovalue`1`n`(%)->Symbol`dILogic``1309401
ovalue`1`n`(%)->Symbol`dLatticeJoinOfMeets``1309673
ovalue`1`n`(%)->Symbol`dLatticeMeetOfJoins``1309945
ovalue`1`n`(%)->V`dSplittingNode(V,C)``1310217
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`x`(%)->Integer`dOrdSetInts``1310280
ovalue`1`x`(%)->S`cRecursiveAggregate(S)``1310348
ovalue`1`x`(%)->String`dQueryEquation``1310411
ovalues`0`n`()->NonNegativeInteger`pRecurrenceOperator(R,F)``1310501
ovalues`1`n`(NonNegativeInteger)->NonNegativeInteger`pRecurrenceOperator(R,F)``1310581
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1310658
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1310926
ovar1Steps`1`x`(PositiveInteger)->%`dDrawOption``1311185
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1311353
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1311566
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1311834
ovar2Steps`1`x`(PositiveInteger)->%`dDrawOption``1312093
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1312262
ovarList`1`n`(%)->List(S)`dFreeMonoid(S)`has(S,BasicType)`1312475
ovarList`1`n`(%)->List(VarSet)`dFreeMagma(VarSet)``1312543
ovarList`1`n`(%)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1312618
ovarList`1`n`(%)->List(VarSet)`dLyndonWord(VarSet)``1312686
ovarList`1`n`(%)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1312761
ovarList`1`x`(%)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1312865
ovarList`1`x`(%)->List(vl)`cXFreeAlgebra(vl,R)``1312940
ovar`1`n`(String)->%`cVarCat``1313021
ovar`2`n`(String,ILogic)->%`cVarCat``1313073
ovariable?`1`n`(%)->Boolean`dSKICombinators(UT)``1313129
ovariableName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``1313179
ovariableName`1`x`(Symbol)->%`dGuessOption``1313312
ovariableOf`1`n`(%)->Symbol`dSimpleCell(TheField,ThePols)``1313476
ovariable`0`n`()->Symbol`dVariable(sym)``1313533
ovariable`1`n`(String)->%`dLatticeJoinOfMeets``1313577
ovariable`1`n`(String)->%`dLatticeMeetOfJoins``1313605
ovariable`1`n`(Symbol)->Union(%,"failed")`dOrderedVariableList(VariableList)``1313633
ovariable`1`x`(%)->S`cDifferentialVariableCategory(S)``1313706
ovariable`1`x`(%)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1313823
ovariable`1`x`(%)->Symbol`dQueryEquation``1313922
ovariable`1`x`(%)->Symbol`dSegmentBinding(S)``1314017
ovariablesOf`1`n`(%)->List(Symbol)`dCell(TheField)``1314220
ovariables`1`n`(%)->List(%)`dPattern(R)``1314287
ovariables`1`n`(%)->List(FreeMonoid(VAR))`dFreeDivisionAlgebra(VAR,F)``1314376
ovariables`1`n`(%)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1314436
ovariables`1`n`(%)->List(VarSet)`cMaybeSkewPolynomialCategory(R,E,VarSet)``1314511
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1314621
ovariables`1`n`(List(S))->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(NonNegativeInteger)->List(%)`cJetBundleCategory``1314737
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)``1314825
ovariables`1`x`(%)->List(Symbol)`cFunctionSpace(R)``1314924
ovariables`1`x`(%)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1315002
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1315137
ovariables`1`x`(List(%))->List(Symbol)`cFunctionSpace(R)``1315253
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(%)`cJetBundleCategory``1315368
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(S)`xJetBundleCategory&(S)``0
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1315495
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1315866
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1316002
ovconcat`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1316096
ovconcat`1`n`(List(%))->%`dOutputForm``1316352
ovconcat`2`n`(%,%)->%`dOutputForm``1316429
ovconcat`2`n`(List(%),NonNegativeInteger)->%`dOutputBox``1316512
ovconcat`3`n`(List(%),NonNegativeInteger,Integer)->%`dOutputBox``1316586
ovector_add_mul`6`n`(U32Vector,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1317051
ovector_combination`7`n`(U32Vector,Integer,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1317234
ovector`1`n`(%)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1317426
ovector`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1317493
ovector`1`n`(List(Complex(DoubleFloat)))->%`dComplexDoubleFloatVector``1317560
ovector`1`x`(List(R))->%`dVector(R)``1317624
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(%,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1317688
overtConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`1`x`(List(%))->%`cTwoDimensionalArrayCategory(R,Row,Col)``1317897
overtConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`2`x`(%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1318034
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)``1318261
overtSplit`2`x`(%,PositiveInteger)->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``1318456
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1318602
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1318673
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1318793
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1318950
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1319068
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1319223
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1319317
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1319452
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1319660
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1319893
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1319972
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1320080
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1320177
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1320315
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1320438
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1320570
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1320736
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1320817
oviewpoint`1`x`(%)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1320929
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->%`dDrawOption``1321288
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``1321554
oviewpoint`2`x`(%,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1321769
oviewpoint`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1322029
oviewpoint`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``1322385
oviewpoint`6`x`(%,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1322791
oviewpoint`6`x`(%,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1323291
oviewport2D`0`n`()->%`dTwoDimensionalViewport``1323791
oviewport3D`0`x`()->%`dThreeDimensionalViewport``1323938
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,Dpol)``1324089
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pNGroebnerPackage(Dom,Expon,Dpol)``1324131
ovoid`0`x`()->%`dVoid``1324152
ovspace`1`n`(Integer)->%`dOutputForm``1324197
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1324261
oweberE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1324445
oweberE`2`x`(%,%)->%`cSpecialFunctionCategory``1324506
oweierstrassHalfPeriods`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1324567
oweierstrassInvariants`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1324710
oweierstrassP0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1324875
oweierstrassPInverse`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1325031
oweierstrassPInverse`3`x`(%,%,%)->%`cSpecialFunctionCategory``1325227
oweierstrassPPrime0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1325423
oweierstrassPPrime`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1325589
oweierstrassPPrime`3`x`(%,%,%)->%`cSpecialFunctionCategory``1325688
oweierstrassPPrime`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1325787
oweierstrassPPrime`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1325889
oweierstrassP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1325991
oweierstrassP`3`x`(%,%,%)->%`cSpecialFunctionCategory``1326071
oweierstrassP`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1326151
oweierstrassP`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1326230
oweierstrassSigma0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1326309
oweierstrassSigma`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1326458
oweierstrassSigma`3`x`(%,%,%)->%`cSpecialFunctionCategory``1326539
oweierstrassZeta0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1326620
oweierstrassZeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1326782
oweierstrassZeta`3`x`(%,%,%)->%`cSpecialFunctionCategory``1326861
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1326940
oweight`1`n`(%)->NonNegativeInteger`cJetBundleCategory``1327218
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)``1327407
oweight`1`x`(%)->NonNegativeInteger`cDifferentialVariableCategory(S)``1327539
oweight`1`x`(%)->NonNegativeInteger`dBasicOperator``1327610
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(%,NonNegativeInteger)->%`dBasicOperator``1327677
oweight`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1327750
oweightedDistanceMatrix`1`n`(%)->TwoDimensionalArray(Union(W,"disjoint"))`dWeightedGraph(S,W)``1327989
oweightedGraph`1`n`(FinitePoset(S))->%`dWeightedGraph(S,W)``1328175
oweightedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)))->%`dWeightedGraph(S,W)``1328330
oweightedGraph`1`n`(List(S))->%`dWeightedGraph(S,W)``1328434
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)``1328706
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)``1328821
oweightedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dWeightedGraph(S,W)``1328963
oweightedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dWeightedGraph(S,W)``1329033
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1329220
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(%)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1329260
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)``1329384
owhatInfinity`1`x`(%)->SingleInteger`dOrderedCompletion(R)``1329619
owhileLoop`2`n`(Switch,%)->%`dFortranCode``1329754
owhittakerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1329819
owhittakerM`3`x`(%,%,%)->%`cSpecialFunctionCategory``1329893
owhittakerW`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1329967
owhittakerW`3`x`(%,%,%)->%`cSpecialFunctionCategory``1330041
owholePart`1`x`(%)->Integer`cRealNumberSystem``1330115
owholePart`1`x`(%)->R`dContinuedFraction(R)``1330179
owholePart`1`x`(%)->R`dPartialFraction(R)``1330388
owholePart`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1330473
owholeRadix`1`x`(List(Integer))->%`dRadixExpansion(bb)``1330626
owholeRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``1330785
owidth`1`n`(%)->NonNegativeInteger`dOutputBox``1330876
owidth`1`x`(%)->R`cIntervalCategory(R)``1330938
owignerDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``1330993
owithPredicates`2`n`(%,List(Any))->%`dPattern(R)``1331082
owordInGenerators`2`x`(Permutation(S),%)->List(NonNegativeInteger)`dPermutationGroup(S)``1331253
owordInStrongGenerators`2`x`(Permutation(S),%)->List(NonNegativeInteger)`dPermutationGroup(S)``1331460
owordsForStrongGenerators`1`x`(%)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1331677
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1331899
owritable?`1`x`(%)->Boolean`cFileNameCategory``1332066
owrite!`2`x`(%,S)->S`cFileCategory(Name,S)``1332179
owriteCategory`4`n`(List(ILogic),String,String,String)->Void`pcompCode``1332358
owriteLine!`1`x`(%)->String`dTextFile``1332394
owriteLine!`2`x`(%,String)->String`dTextFile``1332573
owriteObj`2`n`(%,String)->Void`dScene(PT)``1332736
owriteObj`2`n`(SubSpace(3,DoubleFloat),String)->Void`pExport3D``1332862
owritePackage`5`n`(List(Lambda(Typed)),String,String,String,String)->Void`pcompCode``1332925
owriteSvgQuantised`2`n`(%,String)->Void`dScene(PT)``1332960
owriteSvg`2`n`(%,String)->Void`dScene(PT)``1333083
owriteVRML`2`n`(%,String)->Void`dScene(PT)``1333197
owriteVRML`2`n`(XmlElement,String)->Void`pExportXml``1333313
owriteX3d`2`n`(%,String)->Void`dScene(PT)``1333599
owriteXml`2`n`(XmlElement,String)->Void`pExportXml``1333715
owrite`2`n`(%,String)->String`dTwoDimensionalViewport``1333934
owrite`2`x`(%,String)->String`dThreeDimensionalViewport``1334173
owrite`3`n`(%,String,List(String))->String`dTwoDimensionalViewport``1334415
owrite`3`n`(%,String,String)->String`dTwoDimensionalViewport``1334720
owrite`3`x`(%,String,List(String))->String`dThreeDimensionalViewport``1334999
owrite`3`x`(%,String,String)->String`dThreeDimensionalViewport``1335307
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1335589
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1335735
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)``1335886
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1336009
oxRange`1`x`(%)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1336263
oxRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1336370
oxform`2`n`(%,PT)->PT`dSTransform(PT)``1336477
oxftestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1336560
oxftestComplexEquals`2`n`(String,String)->Void`pUnittest``1336607
oxftestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1336661
oxftestEquals`2`n`(String,String)->Void`pUnittest``1336708
oxftestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1336755
oxftestLibraryError`1`n`(String)->Void`pUnittest``1336802
oxftestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1336855
oxftestNotEquals`2`n`(String,String)->Void`pUnittest``1336902
oxftestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1336952
oxftestRealEquals`2`n`(String,String)->Void`pUnittest``1336999
oxftestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1337050
oxftestTrue`1`n`(String)->Void`pUnittest``1337097
oxi`0`n`()->Symbol`pMathematicalSymbols``1337142
oxmlAttribute`2`n`(String,List(String))->%`dXmlAttribute``1337217
oxmlAttribute`2`n`(String,String)->%`dXmlAttribute``1337335
oxmlElement`3`n`(String,List(%),List(XmlAttribute))->%`dXmlElement``1337433
oxmlElement`3`n`(String,String,List(XmlAttribute))->%`dXmlElement``1337543
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1337639
oxor`2`x`(%,%)->%`cBitAggregate``1337696
oxor`2`x`(%,%)->%`dBoolean``1337802
oxor`2`x`(%,%)->%`dSingleInteger``1337901
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1338014
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)``1338269
oyRange`1`x`(%)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1338394
oyRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1338501
oyellow`0`x`()->%`dColor``1338608
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1338687
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1338816
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1338953
ozRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1339224
ozag`2`n`(%,%)->%`dOutputForm``1339331
ozag`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1339432
ozero?`1`n`(MPT)->Boolean`cModularAlgebraicGcdOperations(MP,MPT,MD)``1339540
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``1339591
ozero?`1`x`(%)->Boolean`cMatrixCategory(R,Row,Col)``1339647
ozero?`1`x`(%)->Boolean`cVectorCategory(R)`has(R,AbelianMonoid)`1339747
ozero?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1339846
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1339920
ozero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1340016
ozero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1340081
ozeroDim?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1340202
ozeroDim?`2`x`(%,List(VarSet))->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1340419
ozeroDimPrimary?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1340590
ozeroDimPrime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1340677
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1340762
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1340931
ozeroMatrix`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`1341093
ozeroMatrix`3`n`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1341167
ozeroMatrix`3`n`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1341267
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)``1341391
ozeroOf`1`x`(Polynomial(%))->%`cAlgebraicallyClosedField``1341623
ozeroOf`1`x`(SparseUnivariatePolynomial(%))->%`cAlgebraicallyClosedField``1341854
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)``1342029
ozeroOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedField``1342247
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:%,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1342455
ozeroSetSplit`1`x`(List(P))->List(%)`cTriangularSetCategory(R,E,V,P)``1342774
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1342970
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1343310
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1343662
ozeroSetSplit`2`x`(List(P),Boolean)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``1343810
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(%)`dRegularChain(R,ls)``1344317
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``1344821
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``1345145
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``1345513
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``1345626
ozeroSquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1345739
ozeroVector`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1345794
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->%`cVectorCategory(R)`has(R,AbelianMonoid)`1345843
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->%`cMatrixCategory(R,Row,Col)``1345907
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)``1345979
ozerosOf`1`x`(Polynomial(%))->List(%)`cAlgebraicallyClosedField``1346318
ozerosOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cAlgebraicallyClosedField``1346673
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)``1346972
ozerosOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->List(%)`cAlgebraicallyClosedField``1347329
ozetaMatrix`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``1347682
ozetaMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ozeta`0`n`()->%`dDirichletRing(Coef)``1347924
ozeta`0`n`()->Symbol`pMathematicalSymbols``1347990
ozoom`2`n`(%,Segment(DoubleFloat))->%`dPlot``1348055
ozoom`2`x`(%,Float)->Void`dThreeDimensionalViewport``1348096
ozoom`3`n`(%,Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``1348257
ozoom`4`n`(%,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``1348303
ozoom`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``1348354
o~=`2`n`(%,%)->%`dOutputForm``1348651
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``1348707
o~`1`n`(%)->%`dDirectedGraph(S)``1348772
o~`1`n`(%)->%`dILogic``1349081
o~`1`n`(%)->%`dMultifunctionGraph(S)``1349351
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`x`(%)->%`cLogic``1349660
o~`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``1349723
o~`1`x`(%)->%`dSingleInteger``1349776
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1349867
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1349963
pAlgebraicFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`AF`1350047
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1350121
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`1350156
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`1350355
pAlgebraicIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1350444
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1350558
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1350673
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1350884
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1351094
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1351181
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1351309
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1351433
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1351520
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1351589
pBezoutMatrixWrapper`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BEZOUT2`1351726
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`1351824
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1352004
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1352118
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1352688
pCartanKuranishi`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`CKP`1352767
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1353038
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1353145
pCharacteristicPolynomial2`1`n`(Field)->etc`(F)`CHARPOL2`1353209
pCharacteristicPolynomial3`1`n`(IntegralDomain)->etc`(R)`CHARPOL3`1353303
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1353686
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1353783
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1353888
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1354292
pCombinatorialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`COMBF`1354381
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1354446
pCommonOperators`0`n`()->etc``COMMONOP`1354610
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1354816
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1354932
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1355029
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1355155
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1355232
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1355304
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`1356078
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1356452
pConstantLODE`3`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1356586
pConstantLinearDependence`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`CLINDEP`1356674
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1357124
pCubicalComplexFactory`0`n`()->etc``CUBECF`1357382
pCycleIndicators`0`x`()->etc``CYCLES`1357553
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1357590
pCyclotomicUtilities`0`n`()->etc``CYCLOT2`1357658
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`1357857
pDegreeReductionPackage`2`n`(Ring,R2:Join(Comparable,etc))->etc`(R1,R2)`DEGRED`1357998
pDeltaComplexFactory`1`n`(AbelianGroup)->etc`(VS)`DELTCF`1358034
pDenominatorIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTDEN`1358172
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1358284
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1359007
pDiscreteLogarithmPackage`1`n`(Join(Monoid,etc))->etc`(M)`DLP`1359325
pDisplayPackage`0`x`()->etc``DISPLAY`1359445
pDistinctDegreeFactorize`2`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1359550
pDistributionContinuedFractionPackage`2`x`(CommutativeRing,z:Symbol)->etc`(R,z)`DSTCFPG`1359843
pDistributionFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`DISTRO2`1359920
pDistributionPackage`1`x`(CommutativeRing)->etc`(R)`DISTEX`1359983
pDistributionPolynomialPackage`3`x`(R:CommutativeRing,S:Join(CommutativeRing,etc),UPS:UnivariatePolynomialCategory(S))->etc`(R,S,UPS)`DISTPOL`1360021
pDoubleFloatElementaryFunctions`0`n`()->etc``DFELEM`1360148
pDoubleFloatEllipticIntegrals`0`x`()->etc``ELIPIDF`1360258
pDoubleFloatSpecialFunctions2`0`x`()->etc``DFSFUN2`1360530
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1360638
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1360740
pDrawComplex`0`x`()->etc``DRAWCX`1360844
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1360931
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1361350
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1361387
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1361424
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1361708
pElementaryFunctionLODESolver`3`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1361839
pElementaryFunctionODESolver`2`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1362020
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1362193
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1362309
pElementaryFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1362603
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1362666
pElementaryRischDEX2`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX2`1362830
pElementaryRischDEX`2`n`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX`1362899
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1363013
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1363112
pErrorFunctions`0`x`()->etc``ERROR`1363189
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1365143
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1365999
pExport3D`0`n`()->etc``EXP3D`1366173
pExportXml`0`n`()->etc``XML`1366270
pExpressionFactorPolynomial`2`n`(R:Join(GcdDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EFACTOR`1366329
pExpressionFunctions2`2`x`(Join(Ring,etc),S:Join(Ring,etc))->etc`(R,S)`EXPR2`1366415
pExpressionLinearSolve`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`ELINSOL`1366481
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`1366675
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1366857
pExpressionSpaceODESolver`2`x`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1367152
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1367210
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1367335
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1367426
pExtendedPolynomialReduction`3`n`(C:GcdDomain,E:OrderedAbelianMonoidSup,R:Join(FiniteAbelianMonoidRing(C,E),etc))->etc`(C,E,R)`EXTRED`1367608
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1367990
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1368296
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1368410
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1368685
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1368743
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`1368906
pFiniteAbelianMonoidRingFunctions2`5`n`(E:OrderedAbelianMonoid,R1:Ring,A1:FiniteAbelianMonoidRing(R1,E),R2:Ring,A2:FiniteAbelianMonoidRing(R2,E))->etc`(E,R1,A1,R2,A2)`FAMR2`1369021
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`1369109
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1369206
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1369383
pFiniteFieldPolynomialPackage2`2`x`(Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1369627
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1369905
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1370073
pFiniteGroupPackage`1`n`(Join(Group,etc))->etc`(G)`FINGPKG`1370175
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:Join(LinearAggregate(S),etc),R:Type,B:Join(LinearAggregate(R),etc))->etc`(S,A,R,B)`FLAGG2`1370243
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1370556
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1370646
pFloatEllipticFunctions`0`x`()->etc``FELFUN`1370951
pFloatLiouvilianFunctions`0`x`()->etc``FLIOUFUN`1371085
pFloatSpecialFunctions`0`x`()->etc``FSFUN`1371186
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1371283
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1371643
pFortranCodePackage1`0`n`()->etc``FCPAK1`1371964
pFortranCodeTools`0`n`()->etc``FCTOOL`0
pFortranOutputStackPackage`0`n`()->etc``FOP`1372579
pFractionFreeFastGaussianFractions`3`n`(D:Join(IntegralDomain,etc),V:FiniteAbelianMonoidRing(D,NonNegativeInteger),VF:FiniteAbelianMonoidRing(Fraction(D),NonNegativeInteger))->etc`(D,V,VF)`FFFGF`1372627
pFractionFreeFastGaussian`2`n`(D:Join(IntegralDomain,etc),V:AbelianMonoidRing(D,NonNegativeInteger))->etc`(D,V)`FFFG`1372737
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1372986
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`1373148
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1373301
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`1373569
pFreeModuleFunctions2`4`x`(R:CommutativeRing,S:Comparable,M1:FreeModuleCategory(R,S),M2:Module(R))->etc`(R,S,M1,M2)`FM2`1373661
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`1373708
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1373769
pFunctionSpaceAssertions`2`x`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1374163
pFunctionSpaceAttachPredicates`3`x`(R:Comparable,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1374251
pFunctionSpaceComplexIntegrationAux`2`n`(G:Join(GcdDomain,etc),FG:Join(TranscendentalFunctionCategory,etc))->etc`(G,FG)`FSCINTA`1374339
pFunctionSpaceComplexIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1374472
pFunctionSpaceFunctions2`4`x`(R:Join(Ring,etc),A:FunctionSpace(R),S:Join(Ring,etc),B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1374602
pFunctionSpaceIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1374765
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1374885
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`1374994
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1375205
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1375253
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`1375345
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`1375761
pFunctionalSpecialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSPECF`1376177
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1376242
pGaloisGroupFactorizerSeparate`2`n`(PositiveInteger,UP:UnivariatePolynomialCategory(Integer))->etc`(p,UP)`GALFACS`0
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1376351
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1376433
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1376640
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1376715
pGcdBasis`1`n`(GcdDomain)->etc`(R)`GCDBAS`1376786
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1376932
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1377503
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1377642
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1377726
pGenerateEllipticIntegrals`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:Join(Field,etc))->etc`(F,UP,UPUP,R)`INTGEL`1377890
pGenerateUnivariatePowerSeries1`1`n`(Ring)->etc`(R)`GENUPS1`1377973
pGenerateUnivariatePowerSeries2`1`n`(Join(Ring,etc))->etc`(FE)`GENUPS2`1378123
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(RetractableTo(Symbol),etc))->etc`(R,FE)`GENUPS`1378273
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1378393
pGnuDraw`0`x`()->etc``GDRAW`1378768
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`1379035
pGraphicsDefaults`0`x`()->etc``GRDEF`1379080
pGrayCode`0`n`()->etc``GRAY`1379175
pGroebnerFactorizationPackage`4`x`(Dom:Join(PolynomialFactorizationExplicit,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1379317
pGroebnerInternalPackage`3`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GBINTERN`1380353
pGroebnerPackage`3`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GB`1380652
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1381688
pGroupPresentationFunctions1`1`n`(SetCategory)->etc`(S)`GROUPPF1`1381967
pGuessAlgebraicNumber`0`n`()->etc``GUESSAN`1382150
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`1382223
pGuessFiniteFunctions`1`n`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF1`1382323
pGuessFinite`1`x`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF`1382407
pGuessInteger`0`x`()->etc``GUESSINT`1382487
pGuessPolynomialFunctions`1`n`(Ring)->etc`(R)`GUESSP1`1382558
pGuessPolynomialInteger`0`x`()->etc``GUESSPI`1382640
pGuessPolynomial`1`x`(Ring)->etc`(R)`GUESSP`1382731
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`1382804
pHallBasis`0`x`()->etc``HB`1382972
pHankelPackage`1`n`(Ring)->etc`(R)`HANKP`1383505
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1383550
pIdealDecompositionPackage`1`x`(List(Symbol))->etc`(vl)`IDECOMP`1383714
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1384024
pInfiniteLambertProduct`2`x`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1384099
pInfiniteTupleFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ITFUN2`1384175
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1384238
pInfinity`0`x`()->etc``INFINITY`1384303
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1384385
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:Join(LinearAggregate(R),etc),B:Join(LinearAggregate(Q),etc))->etc`(R,Q,A,B)`ICDEN`1384526
pInnerEigenPackage`1`n`(Field)->etc`(F)`IEP`1384696
pInnerMatrixLinearAlgebraFunctions`4`n`(R:DivisionRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1385007
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`1385168
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`1385423
pInnerModularHermitePade`0`n`()->etc``IMODHP`1385742
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1386125
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1386396
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1386544
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1386716
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1387307
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1387373
pInnerTrigonometricManipulations`3`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1387415
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1387600
pIntegerBits`0`n`()->etc``INTBIT`1387644
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`1387712
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1387823
pIntegerLinearDependence`1`x`(LinearlyExplicitOver(Integer))->etc`(R)`ZLINDEP`1388204
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1388258
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1388340
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1388548
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1388632
pIntegerSmithNormalForm`0`n`()->etc``ISMITH`1388758
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1388972
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1389155
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1389322
pIntegrateSolutions`2`n`(F:Join(Field,etc),L:Join(UnivariateSkewPolynomialCategory(F),etc))->etc`(F,L)`INTDSOL`1389440
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1389570
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1389703
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1389977
pIntegrationTools`2`n`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1390180
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1390329
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`1390403
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1390943
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1391004
pJFriCASSupport`0`n`()->etc``JFRICAS`1391578
pJetCoordinateTransformation`4`n`(JetBundleCategory,JB2:JetBundleCategory,Vector(JetBundleExpression(JB2)),Vector(JetBundleExpression(JB2)))->etc`(JB1,JB2,Y,W)`JCT`1391922
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`1392292
pKernelFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`KERNEL2`1392687
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1392752
pLLLReduction`0`n`()->etc``LLLRED`1392911
pLODOConvertions`3`n`(Coeff:Ring,Ab:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,Ab,R)`LODOCONV`1393175
pLUDecomposition`1`n`(Field)->etc`(D)`LUD`1393376
pLaplaceTransform`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1393517
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`1393578
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:GcdDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1394111
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1394346
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`1395200
pLinearCombinationUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LINCOMB`1395529
pLinearDependence`2`n`(S:IntegralDomain,R:LinearlyExplicitOver(S))->etc`(S,R)`LINDEP`1395626
pLinearOrdinaryDifferentialOperator3Aux`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,A,R)`LODO3AUX`1395662
pLinearOrdinaryDifferentialOperatorFactorizer2`2`n`(Symbol,cen:Expression(Integer))->etc`(var,cen)`LODOF2`1395836
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1396009
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1396181
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1396316
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1396573
pLinearSystemMatrixPackage2`1`n`(IntegralDomain)->etc`(S)`LSMP2`1396867
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`1396931
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1397007
pLiouvillianFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1397102
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1397179
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1397328
pListPackage`1`n`(BasicType)->etc`(T)`LISTPKG`1397479
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1397503
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`1397921
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`1398010
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1398045
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1398421
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1398803
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1399040
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1399102
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1399331
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1399396
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1399533
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1399595
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1399632
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1399669
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1399706
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1399743
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1399780
pMathematicalSymbols`0`n`()->etc``MATHSYM`1399817
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`1399937
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1400091
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1400245
pMatrixManipulation`4`n`(R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:TwoDimensionalArrayCategory(R,Row,Col))->etc`(R,Row,Col,M)`MAMA`1400353
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1400574
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1400627
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`1400697
pModularAlgebraicGcd`3`n`(MPT:Type,MD:Type,ModularAlgebraicGcdOperations(Polynomial(Integer),MPT,MD))->etc`(MPT,MD,MO)`MAGCD`1401064
pModularDistinctDegreeFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1401200
pModularFactorizationGeneral`5`n`(PA:Type,MMT:Type,MD:Type,PMD:Type,ModularFactorizationOperations(PA,MMT,MD,PMD))->etc`(PA,MMT,MD,PMD,MO)`MODFACTG`1401431
pModularFactorizationK`1`n`(FiniteFieldCategory)->etc`(K)`MODFACK`0
pModularFactorization`0`n`()->etc``MODFACT`0
pModularHermitePadeSolver`2`n`(CommutativeRing,S:CommutativeRing)->etc`(F,S)`MODHPS`1401646
pModularHermitePade`0`n`()->etc``MODHP`1401740
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1402030
pMomentPackage`1`n`(CommutativeRing)->etc`(R)`MOMPKG`1402172
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1402278
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1402411
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1402459
pMrvLimitPackage`0`n`()->etc``MRVLIM`1402725
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1402789
pMultiVariableCalculusFunctions`4`n`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:FiniteLinearAggregate(S))->etc`(S,F,FLAF,FLAS)`MCALCFN`1402871
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`1403158
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`1403216
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1403380
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1403647
pNGroebnerPackage`3`n`(Dom:LeftOreRing,Expon:OrderedAbelianMonoidSup,Dpol:SolvableSkewPolynomialCategory(Dom,Expon))->etc`(Dom,Expon,Dpol)`NGROEB`1403914
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1404192
pNaiveBeckermannLabahnModular`0`n`()->etc``NBLM`1404424
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1404740
pNewtonInterpolation`1`n`(IntegralDomain)->etc`(F)`NEWTON`1405066
pNonLinearFirstOrderODESolver`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1405201
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1405355
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1405589
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1405750
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1405867
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`1405902
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1406043
pNumberFormats`0`n`()->etc``NUMFMT`1406282
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1406435
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1406501
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1406773
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1406912
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1407147
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1407329
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1407430
pNumericalQuadrature`1`x`(FloatingPointSystem)->etc`(F)`NUMQUAD`1412145
pODEIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1415512
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1415679
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1415745
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1415926
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1416085
pOpenMathPackage`0`x`()->etc``OMPKG`1416160
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1416267
pOperationsQuery`0`x`()->etc``OPQUERY`1416637
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1416720
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1416793
pOrePolynomialMatrixOperations`2`n`(F:Field,LO:UnivariateSkewPolynomialCategory(F))->etc`(F,LO)`OREMAT`0
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1416923
pOutputFormTools`0`n`()->etc``OFTOOL`1417000
pOutputPackage`0`x`()->etc``OUT`1417088
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1417145
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1417688
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1418023
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1418348
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`1418417
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1418537
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1419611
pParametricRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEPAR`1419646
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1419891
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1419926
pParametricTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTPAR1`1419961
pPartialDifferentialOperatorHelper`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->etc`(R,Var)`PDOHLP`0
pPartialFractionPackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1420054
pPartialFractionUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PFUTIL`0
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1420325
pPathArrayPackage`1`n`(Ring)->etc`(R)`PARRPKG`1420490
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1420548
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1420576
pPatternMatchAssertions`0`x`()->etc``PMASS`1420608
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1420696
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1420773
pPatternMatchIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1420843
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(Comparable,etc))->etc`(S,E)`PMKERNEL`1421038
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1421107
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`1421174
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1421247
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1421325
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1421396
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1421444
pPatternMatchTools`3`n`(S:SetCategory,R:Join(Comparable,etc),P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1421513
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1421574
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1421646
pPermutationGroupExamples`0`x`()->etc``PGE`1421743
pPiCoercions`1`x`(Join(Comparable,etc))->etc`(R)`PICOERCE`1422149
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1422310
pPlotTools`0`n`()->etc``PLOTTOOL`1422464
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1422508
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1422543
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1422578
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1422680
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`1422780
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1422882
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1422964
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1423675
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`1423788
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`1424085
pPolynomialCommonDenominator`5`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:PolynomialCategory(Q,E,VarSet))->etc`(R,Q,E,VarSet,P)`PCDEN`1424209
pPolynomialEvaluationUtilities`0`n`()->etc``PEVALUT`1424396
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1424924
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1425143
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`1425287
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`1425615
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1425669
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1425723
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`1425818
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1425894
pPolynomialSolveByFormulas`3`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc),Join(PolynomialFactorizationExplicit,etc))->etc`(UP,F,RR)`SOLVEFOR`1426184
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1426424
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1426846
pPosetFactory`1`n`(SetCategory)->etc`(S)`POSETF`1427079
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1427296
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1427542
pPrimGCD`0`n`()->etc``PRIGCD3`1427720
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1427993
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1428146
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1428245
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1428476
pPrintPackage`0`x`()->etc``PRINT`1428542
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1428607
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1428724
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1429475
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`1429645
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1429739
pQuasiAlgebraicSet2`1`n`(List(Symbol))->etc`(vl)`QALGSET2`1429776
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`1431011
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1431185
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1431383
pRDEaux`1`n`(Field)->etc`(F)`RDEAUX`1431492
pRadicalEigenPackage`0`x`()->etc``REP`1431551
pRadicalSolvePackage`1`x`(Join(PolynomialFactorizationExplicit,etc))->etc`(R)`SOLVERAD`1431833
pRadixUtilities`0`x`()->etc``RADUTIL`1432006
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1432073
pRandomFloatDistributions`0`n`()->etc``RFDIST`1432123
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1432188
pRandomNumberSource`0`x`()->etc``RANDSRC`1432239
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`1432431
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1433012
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1433139
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1433261
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1433344
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1433398
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1433471
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1433516
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1433614
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1433696
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1433759
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1433910
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1433993
pRationalUnivariateRepresentationPackage`2`n`(Join(PolynomialFactorizationExplicit,etc),List(Symbol))->etc`(R,ls)`RURPK`1434058
pRealNormalizationUtilities`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RNORM`1434485
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1434586
pRealSolvePackage`0`n`()->etc``REALSOLV`1434687
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1434805
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1435111
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`1435416
pRecurrenceOperator`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`RECOP`1435581
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`1435764
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`1435866
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1435981
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`1436132
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`1437437
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1437595
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1437650
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1437705
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1438214
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1438774
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1438873
pRootFSSplit`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`RFSSPLIT`1439025
pRootSimplification`0`n`()->etc``RSIMP`1439114
pRootUtilities`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ROOTUT`1439215
pSTransformPackage`4`x`(R:Join(CommutativeRing,etc),UTSR:UnivariateTaylorSeriesCategory(R),ULSR:UnivariateLaurentSeriesConstructorCategory(R,UTSR),UPSR:UnivariatePuiseuxSeriesConstructorCategory(R,ULSR))->etc`(R,UTSR,ULSR,UPSR)`STRANS`1439263
pScanningUtilities`0`n`()->etc``SCANUTIL`0
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1439342
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1439445
pSequenceFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`SEQU2`1439523
pSimplicialComplexFactory`1`n`(AbelianGroup)->etc`(VS)`SIMPCF`1439572
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1439642
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1439750
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1439857
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1439906
pSparsePolynomialCoercionHelpers`3`n`(Ring,VarSet1:OrderedSet,VarSet2:OrderedSet)->etc`(R,VarSet1,VarSet2)`SMPCOER`1440266
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1440376
pSpecialFunctionUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`SPFUTS`1440702
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1440795
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`1440903
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`1441086
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`1442312
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1442572
pStreamExponentialSeriesOperations`1`n`(CommutativeRing)->etc`(Coef)`STEXPS`1442872
pStreamExponentialSeriesTranscendentalFunctions`1`n`(Join(Algebra(Fraction(Integer)),etc))->etc`(Coef)`STEXPST`1443036
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1443242
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1443304
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1443367
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1443432
pStreamTensor`1`n`(Type)->etc`(R)`STNSR`0
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1443578
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1443784
pStructuralConstantsPackage`1`x`(IntegralDomain)->etc`(R)`SCPKG`1443948
pSturmHabichtPackage`2`x`(R:OrderedIntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SHP`1444136
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1444257
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1444529
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1444597
pSymmetryAnalysis`3`n`(JetBundleCategory,xi:Union(Symbol,List(Symbol)),eta:Union(Symbol,List(Symbol)))->etc`(JB1,xi,eta)`SYMANA`1444804
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1445086
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`1445211
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1446071
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1446271
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1446691
pTaylorSolve`3`n`(F:Field,UTSF:UnivariateTaylorSeriesCategory(F),UTSSMPF:UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(F,UTSF,UTSSMPF)`UTSSOL`0
pTemplateUtilities`0`n`()->etc``TEMUTL`1446745
pTensorPowerFunctions2`5`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M1:FreeModuleCategory(R,B),M2:Module(R))->etc`(n,R,B,M1,M2)`TENSPO2`1446811
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1446858
pTimeoutPackage`1`n`(Type)->etc`(S)`TIMEOUT`1447003
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1447058
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1447104
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1447224
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1447340
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1447469
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1447565
pTransSolvePackageService`1`n`(Join(Comparable,etc))->etc`(R)`SOLVESER`1447640
pTransSolvePackage`1`x`(Join(Comparable,etc))->etc`(R)`SOLVETRA`1448190
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1449027
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1449079
pTranscendentalManipulations`2`x`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1449171
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1449297
pTrigonometricManipulationsAux`2`n`(G:Join(IntegralDomain,etc),FG:Join(FunctionSpace(G),etc))->etc`(G,FG)`TRIGMNPA`1449763
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1449948
pTubePlotTools`0`n`()->etc``TUBETOOL`1450100
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`1450177
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1450291
pU32VectorPolynomialOperations`0`n`()->etc``POLYVEC`1450459
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1450801
pUnitGaussianElimination`0`n`()->etc``UGAUSS`1450931
pUnittestAux`1`n`(BasicType)->etc`(R)`TESTAUX`1451007
pUnittestCount`0`n`()->etc``TESTCNT`1451148
pUnittest`0`n`()->etc``TESTUNIT`1451430
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`1451657
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Join(SemiRng,etc),PR:UnivariatePolynomialCategory(R),S:Join(SemiRng,etc),PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1451835
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`1451979
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1452165
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1452312
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1452658
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1452950
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1453616
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1453767
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1453896
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1454073
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1454225
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1454303
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1454370
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1454604
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`1454910
pViewportPackage`0`n`()->etc``VIEW`1454999
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1455126
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1455703
pXDistributedPolynomialFunctions`2`n`(OrderedSet,F:Field)->etc`(VAR,F)`XDPOLYF`1456056
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1456348
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`1456526
pcompCode`0`n`()->etc``COMPCODE`1457829
pcompUtil`1`n`(VarCat)->etc`(UT)`COMPUTIL`1458662
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1458695
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1458824
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1458946
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1459541
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1459695
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1460209
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1460303
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),Join(Comparable,etc))->etc`(S,R)`ACFS-`1460350
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1460406
xAssociationListAggregate&`3`n`(AssociationListAggregate(Key,Entry),SetCategory,Entry:Type)->etc`(S,Key,Entry)`ALAGG-`1460464
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1460634
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1460863
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1460982
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1461123
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1461342
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1461442
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1461884
xDictionary&`2`n`(Dictionary(S),S:Type)->etc`(A,S)`DIAGG-`1461972
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:Type)->etc`(A,S)`DIOPS-`1462293
xDifferentialExtension&`2`n`(DifferentialExtension(R),R:Ring)->etc`(S,R)`DIFEXT-`1462424
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1462553
xDifferentialRing&`1`n`(DifferentialRing)->etc`(S)`DIFRING-`1463860
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1463973
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1466324
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1466482
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1466652
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:Type,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1466699
xEntireRing&`1`n`(EntireRing)->etc`(S)`ENTIRER-`1467071
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1467222
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1467613
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1467771
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1467849
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1468245
xFacetCategory&`1`n`(FacetCategory)->etc`(S)`FACTCAT-`1468334
xField&`1`n`(Field)->etc`(S)`FIELD-`1468504
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1468727
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1468970
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1469201
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1469373
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-`1470893
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1471124
xFiniteGraph&`2`n`(FiniteGraph(S),S:SetCategory)->etc`(A,S)`FGRPH-`1471185
xFiniteGroup&`1`n`(FiniteGroup)->etc`(S)`FINGRP-`1471265
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1471304
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1471427
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1471579
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1471783
xFormatterCategory&`1`n`(FormatterCategory)->etc`(S)`FMTCAT-`0
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1472799
xFramedModule&`2`n`(FramedModule(R),R:Join(SemiRng,etc))->etc`(S,R)`FRMOD-`1472913
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1473010
xFreeModuleCategory&`3`n`(FreeModuleCategory(R,S),R:Join(SemiRng,etc),S:SetCategory)->etc`(A,R,S)`FMCAT-`1473289
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1474114
xFullyLinearlyExplicitOver&`2`n`(FullyLinearlyExplicitOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1474237
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1474457
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1474865
xFunctionSpace&`2`n`(FunctionSpace(R),R:Comparable)->etc`(S,R)`FS-`1474949
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1475029
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1475337
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1475693
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1476235
xHashable&`1`n`(Hashable)->etc`(S)`HASHABL-`1476348
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1476447
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1476979
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:Type,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1477040
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1477300
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1477626
xJetBundleBaseFunctionCategory&`2`n`(JetBundleBaseFunctionCategory(JB),JetBundleCategory)->etc`(S,JB)`JBBFC-`1477693
xJetBundleCategory&`1`n`(JetBundleCategory)->etc`(S)`JBC-`1477984
xJetBundleFunctionCategory&`2`n`(JetBundleFunctionCategory(JB),JB:JetBundleCategory)->etc`(S,JB)`JBFC-`1478657
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`KDAGG-`1479082
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1479192
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1479854
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1479920
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1480137
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1480823
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1481090
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1481279
xMagma&`1`n`(Magma)->etc`(S)`MAGMA-`1481367
xMagmaWithUnit&`1`n`(MagmaWithUnit)->etc`(S)`MAGMAWU-`1481474
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:AbelianMonoid,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1481938
xMaybeSkewPolynomialCategory&`4`n`(MaybeSkewPolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`GPOLCAT-`1482545
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1482730
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1482798
xMultivariateTaylorSeriesCategory&`3`n`(MultivariateTaylorSeriesCategory(Coef,Var),Coef:Ring,Var:OrderedSet)->etc`(S,Coef,Var)`MTSCAT-`1482909
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1483018
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NARING-`1483215
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1483362
xNonAssociativeSemiRng&`1`n`(NonAssociativeSemiRng)->etc`(S)`NASRNG-`1483720
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1483849
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1484068
xOpenMath&`1`n`(OpenMath)->etc`(S)`OM-`1484867
xOrderedRing&`1`n`(OrderedRing)->etc`(S)`ORDRING-`1484959
xOrderedSet&`1`n`(OrderedSet)->etc`(S)`ORDSET-`1485094
xPartialDifferentialRing&`2`n`(PartialDifferentialRing(S),S:SetCategory)->etc`(A,S)`PDRING-`1485415
xPartialOrder&`1`n`(PartialOrder)->etc`(S)`PORDER-`1485522
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1485641
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1485858
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-`1486003
xPoset&`2`n`(Poset(S),S:SetCategory)->etc`(A,S)`POSET-`1486608
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1487074
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1487200
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1487339
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1487432
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1487504
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1487600
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1487896
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-`1488008
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1488238
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1488687
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-`1489157
xRetractableFrom&`2`n`(RetractableFrom(S),S:Type)->etc`(A,S)`RETFROM-`1491399
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1491578
xRng&`1`n`(Rng)->etc`(S)`RNG-`1491755
xSPointCategory&`1`n`(SPointCategory)->etc`(S)`SPTCAT-`1491981
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1492312
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1492639
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-`1492912
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1493169
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1493432
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`TBAGG-`1493537
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-`1493659
xTensorPowerCategory&`4`n`(TensorPowerCategory(n,R,M),NonNegativeInteger,R:CommutativeRing,M:Module(R))->etc`(S,n,R,M)`TENSPC-`1493690
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1493759
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-`1493821
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1494889
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:IndexedAggregate(Integer,R),Col:IndexedAggregate(Integer,R))->etc`(S,R,Row,Col)`ARR2CAT-`1494939
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1495485
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1495968
xUnivariateLaurentSeriesCategory&`2`n`(UnivariateLaurentSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`ULSCAT-`1496142
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1496244
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Join(SemiRng,etc))->etc`(S,R)`UPOLYC-`1496541
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1496690
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1497038
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1497339
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1497722
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1497822
