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cFullyLinearlyExplicitRingOver`1`x`(Ring)->Category`(R)`FLINEXP`20003
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cFullyRetractableTo`1`x`(Type)->Category`(S)`FRETRCT`20424
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cRightModule`1`x`(Rng)->Category`(R)`RMODULE`42403
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cSpecialFunctionCategory`0`x`()->Category``SPFCAT`44118
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cSquareFreeRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SFRTCAT`44490
cSquareMatrixCategory`4`x`(ndim:NonNegativeInteger,R:Ring,DirectProductCategory(ndim,R),DirectProductCategory(ndim,R))->Category`(ndim,R,Row,Col)`SMATCAT`45478
cStackAggregate`1`x`(Type)->Category`(S)`SKAGG`45733
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cStreamAggregate`1`x`(Type)->Category`(S)`STAGG`46373
cStringAggregate`0`x`()->Category``SRAGG`46743
cStringCategory`0`x`()->Category``STRICAT`46846
cTableAggregate`2`x`(SetCategory,SetCategory)->Category`(Key,Entry)`TBAGG`46887
cTensorPowerCategory`3`x`(NonNegativeInteger,R:CommutativeRing,Module(R))->Category`(n,R,M)`TENSPC`47007
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cTensorProductProperty`5`x`(R:CommutativeRing,M:Module(R),N:Module(R),TensorProductCategory(R,M,N),Module(R))->Category`(R,M,N,MxN,S)`TENSPRP`47143
cThreeSpaceCategory`1`x`(Ring)->Category`(R)`SPACEC`47188
cTranscendentalFunctionCategory`0`x`()->Category``TRANFUN`47380
cTriangularSetCategory`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`TSETCAT`47440
cTrigonometricFunctionCategory`0`x`()->Category``TRIGCAT`48874
cTwoDimensionalArrayCategory`3`x`(R:Type,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`ARR2CAT`48922
cType`0`x`()->Category``TYPE`49475
cUnaryRecursiveAggregate`1`x`(Type)->Category`(S)`URAGG`49503
cUniqueFactorizationDomain`0`x`()->Category``UFD`50039
cUnivariateLaurentSeriesCategory`1`x`(Ring)->Category`(Coef)`ULSCAT`50211
cUnivariateLaurentSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,UTS)`ULSCCAT`50311
cUnivariatePolynomialCategory`1`x`(Ring)->Category`(R)`UPOLYC`50605
cUnivariatePowerSeriesCategory`2`x`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`UPSCAT`50752
cUnivariatePuiseuxSeriesCategory`1`x`(Ring)->Category`(Coef)`UPXSCAT`51098
cUnivariatePuiseuxSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateLaurentSeriesCategory(Coef))->Category`(Coef,ULS)`UPXSCCA`51198
cUnivariateSkewPolynomialCategory`1`x`(Ring)->Category`(R)`OREPCAT`51496
cUnivariateTaylorSeriesCategory`1`x`(Ring)->Category`(Coef)`UTSCAT`51878
cVectorCategory`1`x`(Type)->Category`(R)`VECTCAT`51976
cVectorSpace`1`x`(Field)->Category`(S)`VSPACE`52395
cXAlgebra`1`x`(Ring)->Category`(R)`XALG`52466
cXFreeAlgebra`2`x`(OrderedSet,Ring)->Category`(vl,R)`XFALG`52725
cXPolynomialsCat`2`x`(OrderedSet,Ring)->Category`(vl,R)`XPOLYC`52831
cadditiveValuation`0`n`()->Category``ATADDVA`52995
carbitraryExponent`0`n`()->Category``ATARBEX`53107
carbitraryPrecision`0`n`()->Category``ATARBPR`53166
ccanonicalUnitNormal`0`n`()->Category``ATCUNOR`53262
ccanonicalsClosed`0`n`()->Category``ATCANCL`53506
cfiniteAggregate`0`n`()->Category``ATFINAG`53619
cmultiplicativeValuation`0`n`()->Category``ATMULVA`53687
cnoZeroDivisors`0`n`()->Category``ATNZDIV`53799
cpartiallyOrderedSet`0`n`()->Category``ATPOSET`53910
cshallowlyMutable`0`n`()->Category``ATSHMUT`54083
cunitsKnown`0`n`()->Category``ATUNIKN`54182
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dAlgebraicNumber`0`x`()->Join(ExpressionSpace,etc)``AN`54880
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dAny`0`x`()->Join(SetCategory,etc)``ANY`55047
dArrayStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`55481
dAssociatedJordanAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`55528
dAssociatedLieAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`56755
dAssociationList`2`n`(SetCategory,Entry:SetCategory)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`57811
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`58118
dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`58204
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`58552
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`58772
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`58985
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`59119
dBinaryFile`0`x`()->Join(FileCategory(FileName,SingleInteger),etc)``BINFILE`59209
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`59327
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`59607
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`59898
dBits`0`x`()->Join(BitAggregate,etc)``BITS`60124
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dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`60298
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`61701
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`61947
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`62037
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,SquareMatrix(n,K))->Join(Ring,etc)`(n,K,bLin)`CLIF`62095
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`62358
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`62468
dComplexDoubleFloatMatrix`0`n`()->Join(MatrixCategory(Complex(DoubleFloat),ComplexDoubleFloatVector,ComplexDoubleFloatVector),etc)``CDFMAT`62503
dComplexDoubleFloatVector`0`n`()->Join(VectorCategory(Complex(DoubleFloat)),etc)``CDFVEC`62723
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`62942
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`63147
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`63740
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`63796
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`63903
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`64167
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`64258
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`64545
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`64591
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`64857
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`64943
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`65042
dDirichletRing`1`n`(Ring)->Join(Ring,etc)`(Coef)`DIRRING`65651
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`65754
dDoubleFloatMatrix`0`n`()->Join(MatrixCategory(DoubleFloat,DoubleFloatVector,DoubleFloatVector),etc)``DFMAT`66117
dDoubleFloatVector`0`n`()->Join(VectorCategory(DoubleFloat),etc)``DFVEC`66329
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`66540
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`68480
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`68574
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`68993
dEnumeration`1`x`special`(a,b,...,c)`ENUM`69412
dEqTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`69568
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`69733
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`69973
dExit`0`x`()->SetCategory``EXIT`70173
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`70460
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Join(Field,etc),var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`70753
dExpression`1`x`(Comparable)->Join(FunctionSpace(R),etc)`(R)`EXPR`71534
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`71582
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`72424
dFileName`0`x`()->FileNameCategory``FNAME`73269
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`73338
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`73472
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`73701
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`74308
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`74945
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`75601
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`75875
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`76174
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`76691
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`77205
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`77701
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`77899
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`78915
dFortranCode`0`n`()->Join(SetCategory,etc)``FC`82687
dFortranExpression`3`n`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`82793
dFortranProgram`4`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol),SymbolTable)->Join(FortranProgramCategory,etc)`(name,returnType,arguments,symbols)`FORTRAN`82952
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`83123
dFortranTemplate`0`n`()->Join(FileCategory(FileName,String),etc)``FTEM`83263
dFortranType`0`n`()->Join(SetCategory,etc)``FT`83306
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`83414
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`83623
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`83819
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`83891
dFramedModule`5`n`(R:EuclideanDomain,F:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(F),A:FramedAlgebra(F,UP),Vector(A))->Join(Monoid,etc)`(R,F,UP,A,ibasis)`FRMOD`83936
dFreeAbelianGroup`1`n`(SetCategory)->Join(AbelianGroup,etc)`(S)`FAGROUP`83986
dFreeAbelianMonoid`1`n`(SetCategory)->FreeAbelianMonoidCategory(S,NonNegativeInteger)`(S)`FAMONOID`84236
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`84500
dFreeModule`2`n`(Ring,S:OrderedSet)->Join(BiModule(R,R),etc)`(R,S)`FM`84754
dFreeMonoid`1`n`(SetCategory)->Join(Monoid,etc)`(S)`FMONOID`85564
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`85832
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`85972
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`86333
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`86378
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`86939
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`86972
dGeneralQuaternion`3`n`(R:CommutativeRing,R,R)->QuaternionCategory(R)`(R,p,q)`QUAT2`87008
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:SetCategory,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`87326
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`87444
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`88111
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`88410
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`88576
dGuessOptionFunctions0`0`n`()->Join(SetCategory,etc)``GOPT0`88687
dGuessOption`0`x`()->Join(SetCategory,etc)``GOPT`88799
dHTMLFormat`0`n`()->Join(SetCategory,etc)``HTMLFORM`88890
dHashTable`3`n`(SetCategory,Entry:SetCategory,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`88974
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`89133
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`89200
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dim,S)`(dim,S)`HDP`89295
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`89633
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`90042
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`90396
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`90491
dIndexedDirectProductAbelianGroup`2`n`(AbelianGroup,S:OrderedSet)->Join(AbelianGroup,etc)`(A,S)`IDPAG`90589
dIndexedDirectProductAbelianMonoid`2`n`(AbelianMonoid,S:OrderedSet)->Join(AbelianMonoid,etc)`(A,S)`IDPAM`90796
dIndexedDirectProductObject`2`n`(SetCategory,S:OrderedSet)->IndexedDirectProductCategory(A,S)`(A,S)`IDPO`91005
dIndexedDirectProductOrderedAbelianMonoidSup`2`n`(OrderedAbelianMonoidSup,S:OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(A,S)`IDPOAMS`91161
dIndexedDirectProductOrderedAbelianMonoid`2`n`(OrderedAbelianMonoid,S:OrderedSet)->Join(OrderedAbelianMonoid,etc)`(A,S)`IDPOAM`91359
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`91593
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`91639
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`92732
dIndexedMatrix`3`n`(Ring,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`93227
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`93698
dIndexedString`1`n`(Integer)->Join(StringAggregate,etc)`(mn)`ISTRING`93806
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`93853
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`94432
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`94550
dInnerAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``IAN`94665
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`94714
dInnerFreeAbelianMonoid`3`n`(SetCategory,E:CancellationAbelianMonoid,E)->FreeAbelianMonoidCategory(S,E)`(S,E,un)`IFAMON`94941
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`94997
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`95154
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`95270
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`95473
dInnerTable`3`n`(Key:SetCategory,Entry:SetCategory,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`95600
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`95708
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm),etc)``INFORM`96084
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`96236
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`96329
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`96407
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`96913
dKernel`1`n`(Comparable)->Join(CachableSet,etc)`(S)`KERNEL`97229
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`97331
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`97428
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`97588
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`97653
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`98022
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),etc)`(n,R)`LSQM`98214
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`98565
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`98811
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`99092
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`99348
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`0
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`99519
dLocalAlgebra`2`n`(Algebra(R),R:CommutativeRing)->Join(Algebra(R),etc)`(A,R)`LA`99804
dLocalize`2`n`(Module(R),R:CommutativeRing)->Join(Module(R),etc)`(M,R)`LO`99944
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`100105
dMachineComplex`0`n`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`100978
dMachineFloat`0`n`()->Join(FloatingPointSystem,etc)``MFLOAT`101080
dMachineInteger`0`n`()->Join(FortranMachineTypeCategory,etc)``MINT`101182
dMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`MAGMA`101277
dMakeCachableSet`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`MKCHSET`101476
dMapping`1`x`special`(T,S)`MAPPING`101568
dMathMLFormat`0`x`()->Join(SetCategory,etc)``MMLFORM`101808
dMatrix`1`x`(Ring)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`101903
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,Rep)`MODMON`102004
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`102037
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`102259
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`102468
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`102501
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`102550
dMonoidRing`2`n`(Ring,M:Monoid)->MonoidRingCategory(R,M)`(R,M)`MRING`102673
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`103634
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`103681
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`104003
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`104266
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`104455
dNone`0`n`()->SetCategory``NONE`104551
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`104768
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`105291
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`105350
dOpenMathConnection`0`x`()->etc``OMCONN`105454
dOpenMathDevice`0`x`()->etc``OMDEV`105591
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`105783
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`105857
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`106023
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`106088
dOppositeMonogenicLinearOperator`2`n`(MonogenicLinearOperator(R),R:Ring)->Join(MonogenicLinearOperator(R),etc)`(P,R)`OMLO`106137
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`106375
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`106668
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`106783
dOrderedFreeMonoid`1`n`(OrderedSet)->Join(OrderedMonoid,etc)`(S)`OFMONOID`107113
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`107734
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`107781
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`108087
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`108775
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`108896
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`109124
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`109386
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`109578
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`109651
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`109833
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`109901
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`109994
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`110085
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`110169
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`111023
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`111268
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`111504
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`111725
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`111772
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`111914
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`112383
dPi`0`x`()->Join(Field,etc)``HACKPI`112876
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`113187
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`113450
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`113786
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`114151
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`114486
dPolynomialIdeals`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`114542
dPolynomialRing`2`n`(Ring,E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`115050
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`115414
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`115703
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`115792
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`115986
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`116131
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`116178
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`116241
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`117960
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`118059
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`118112
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`118156
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`118221
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`118366
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`118433
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Ring)->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`118670
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`118805
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`118896
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`119118
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`119549
dResult`0`n`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`119751
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`119947
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`120122
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`120219
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`120325
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`120366
dSExpressionOf`5`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory,Expr:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt,Expr)`(Str,Sym,Int,Flt,Expr)`SEXOF`120435
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm)``SEX`120521
dScriptFormulaFormat`0`x`()->Join(SetCategory,etc)``FORMULA`120589
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`121290
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`121445
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`121518
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`121775
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`122450
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`122564
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->MonogenicAlgebra(R,UP)`(R,UP,M)`SAE`123646
dSimpleFortranProgram`2`n`(R:OrderedSet,FS:FunctionSpace(R))->Join(FortranProgramCategory,etc)`(R,FS)`SFORT`124225
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`124497
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`124568
dSortedExponentVector`0`n`()->OneDimensionalArrayAggregate(Integer)``SOREXPV`124656
dSparseMultivariatePolynomialExpressions`1`n`(Ring)->Join(PolynomialCategory(R,IndexedExponents(NonNegativeInteger),NonNegativeInteger),etc)`(R)`SMPEXPR`0
dSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`124762
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`125110
dSparseTable`3`n`(SetCategory,Ent:SetCategory,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`125402
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`125520
dSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`126084
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`126458
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`127033
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`127195
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`127776
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`128250
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`128873
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`129915
dSquareMatrix`2`n`(NonNegativeInteger,R:Ring)->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`130393
dStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`STACK`130539
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`130583
dStringTable`1`n`(SetCategory)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`130753
dString`0`x`()->StringCategory``STRING`0
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`130864
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`130930
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`130962
dSwitch`0`n`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`131009
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`131122
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`131192
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`131226
dTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`131276
dTableau`1`x`(SetCategory)->etc`(S)`TABLEAU`131500
dTaylorSeries`1`x`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`131643
dTensorPower`4`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M:FreeModuleCategory(R,B))->Join(TensorPowerCategory(n,R,M),etc)`(n,R,B,M)`TENSPOW`131774
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`131910
dTexFormat`0`x`()->Join(SetCategory,etc)``TEX`132176
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`132928
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`133066
dThreeDimensionalMatrix`1`n`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`133216
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`0
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`133299
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`133481
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`133643
dTuple`1`n`(Type)->Join(CoercibleTo(PrimitiveArray(S)),etc)`(S)`TUPLE`133790
dTwoDimensionalArray`1`n`(Type)->TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R))`(R)`ARRAY2`133920
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`134038
dU32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U32VEC`134104
dUnion`1`x`special`(A,B,...,C)`UNION`134299
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`134448
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`134774
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`135325
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`135540
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`135870
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`136399
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`136961
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`137136
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`137604
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`137721
dVectorIntegerReconstructor`0`n`()->etc``VECREC2`137760
dVectorModularReconstructor`0`n`()->etc``VECREC1`138172
dVectorSpaceBasis`1`n`(Field)->etc`(R)`VSBASIS`138726
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`139060
dVoid`0`x`()->etc``VOID`139187
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`139411
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`139673
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(FreeModuleCategory(R,OrderedFreeMonoid(vl)),etc)`(vl,R)`XDPOLY`140717
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`140921
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(Ring,etc)`(R,E)`XPR`141205
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`141506
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`141773
o#`1`n`(A)->NonNegativeInteger`xBinaryRecursiveAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xBinaryTreeCategory&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
o#`1`n`(S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o#`1`n`(_$)->NonNegativeInteger`dXPolynomialRing(R,E)``141983
o#`1`x`(_$)->Integer`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``142042
o#`1`x`(_$)->NonNegativeInteger`cAggregate`has(_$,finiteAggregate)`142093
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Coef,_$)->_$`dInnerTaylorSeries(Coef)``142152
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``0
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`(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`(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)``142226
o*`2`n`(PositiveInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianSemiGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(PositiveInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xModule&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(PositiveInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(R,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(R,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(R,S)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(R,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(R,S)->S`xModule&(S,R)``0
o*`2`n`(R,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(R,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(R,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(R,Vector(polR))->Vector(polR)`pPseudoRemainderSequence(R,polR)``142257
o*`2`n`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Col)->Col`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Fraction(Integer))->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xDivisionRing&(S)``0
o*`2`n`(S,Fraction(Integer))->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,R)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,R)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,R)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,R)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,R)->S`xModule&(S,R)``0
o*`2`n`(S,R)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,R)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->S`xVectorCategory&(S,R)``0
o*`2`n`(S,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,S)->S`xDivisionRing&(S)``0
o*`2`n`(S,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,_$)->_$`dFreeGroup(S)``142353
o*`2`n`(S,_$)->_$`dFreeMonoid(S)``142429
o*`2`n`(S,_$)->_$`dOrderedFreeMonoid(S)``142505
o*`2`n`(SMP,_$)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``142581
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``0
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``0
o*`2`n`(_$,Coef)->_$`dInnerTaylorSeries(Coef)``142653
o*`2`n`(_$,Integer)->_$`dInnerTaylorSeries(Coef)``142727
o*`2`n`(_$,R)->_$`dXPolynomialRing(R,E)``142809
o*`2`n`(_$,S)->_$`dFreeGroup(S)``142871
o*`2`n`(_$,S)->_$`dFreeMonoid(S)``142948
o*`2`n`(_$,S)->_$`dOrderedFreeMonoid(S)``143025
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o*`2`x`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``143425
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o*`2`x`(Integer,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`143675
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o*`2`x`(R,_$)->_$`cLeftModule(R)``144202
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o*`2`x`(Row,_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``144630
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o*`2`x`(_$,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``145209
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o*`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)``145416
o*`2`x`(_$,R)->_$`cRightModule(R)``145512
o*`2`x`(_$,R)->_$`cVectorCategory(R)`has(R,Monoid)`145623
o*`2`x`(_$,R)->_$`cXFreeAlgebra(vl,R)``145716
o*`2`x`(_$,S)->_$`dEquation(S)`has(S,SemiGroup)`145827
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o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``0
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o+`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
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o+`2`x`(S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``146916
o+`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianSemiGroup)`146977
o+`2`x`(UP,_$)->_$`dFullPartialFractionExpansion(F,UP)``147070
o+`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianSemiGroup)`147130
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o+`2`x`(_$,_$)->_$`cGradedModule(R,E)``147283
o+`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``147463
o+`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianSemiGroup)`147575
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o-`1`n`(S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
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o-`1`n`(S)->S`xVectorCategory&(S,R)``0
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o-`1`x`(_$)->_$`cAbelianGroup``147932
o-`1`x`(_$)->_$`cGradedModule(R,E)``147985
o-`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``148094
o-`1`x`(_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`148155
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``0
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o-`2`n`(S,S)->S`xGradedModule&(S,R,E)``0
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o-`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o-`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o-`2`n`(S,S)->S`xVectorCategory&(S,R)``0
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o-`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianGroup)`148272
o-`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianGroup)`148372
o-`2`x`(_$,_$)->Union(_$,"failed")`dCardinalNumber``148472
o-`2`x`(_$,_$)->_$`cAbelianGroup``148581
o-`2`x`(_$,_$)->_$`cGradedModule(R,E)``148676
o-`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``148863
o-`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`148982
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o/`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
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o/`2`n`(_$,R)->_$`dLocalize(M,R)``149788
o/`2`n`(_$,R)->_$`dXPolynomialRing(R,E)`has(R,Field)`149849
o/`2`n`(_$,_$)->Union(_$,"failed")`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)`has(R,Field)`149890
o/`2`n`(_$,_$)->Union(_$,"failed")`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)`has(R,Field)`149996
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o/`2`x`(SparseMultivariatePolynomial(R,Kernel(_$)),SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`0
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oAnd`2`x`(_$,_$)->_$`dSingleInteger``152334
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)``0
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oBumInSepFFE`1`n`(Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer))->Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer)`pUnivariatePolynomialSquareFree(RC,P)``0
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``152694
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oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
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oD`1`n`(S)->S`xDifferentialExtension&(S,R)``0
oD`1`n`(S)->S`xDifferentialRing&(S)``0
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oD`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``153107
oD`2`n`(A,List(S))->A`xPartialDifferentialRing&(A,S)``0
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oD`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``153256
oD`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``153384
oD`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``153455
oD`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``153526
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)``153618
oD`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``153747
oD`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``153908
oDiffAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``154056
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oEQ`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``0
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oEXPRR2F`1`n`(Expression(Integer))->Fraction(Polynomial(R))`pGuessPolynomialFunctions(R)``0
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oF2EXPRR`1`n`(Fraction(Polynomial(R)))->Expression(Integer)`pGuessPolynomialFunctions(R)``0
oF2FG`1`n`(F)->FG`pInnerTrigonometricManipulations(R,F,FG)``154775
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``154833
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``0
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oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``155111
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``0
oGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``155187
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``0
oGamma`1`x`(Float)->Float`pFloatSpecialFunctions``155238
oGamma`1`x`(_$)->_$`cSpecialFunctionCategory``155289
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``155340
oGamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``155430
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``155490
oHP_solve_A`6`n`(List(AlgebraicNumber),List(Integer),Symbol,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(AlgebraicNumber)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(AlgebraicNumber)),Boolean)`pModularHermitePade``0
oHP_solve_I`6`n`(List(Fraction(Integer)),List(Integer),Symbol,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``0
oHP_solve_M`7`n`(List(Integer),List(Integer),Symbol,Integer,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``0
oHP_solve_PA`7`n`(List(Fraction(Polynomial(AlgebraicNumber))),List(Integer),Symbol,Symbol,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))),Boolean)`pModularHermitePade``0
oHP_solve_P`7`n`(List(Fraction(Polynomial(Integer))),List(Integer),Symbol,Symbol,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(Integer))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(Integer))),Boolean)`pModularHermitePade``0
oHP_solve`7`n`(List(F),List(Integer),Symbol,Symbol,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(S)),Boolean)`pModularHermitePadeSolver(F,S)``0
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``0
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``0
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``0
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``156056
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``156197
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`156335
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`156588
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`156841
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:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``0
oLFI_to_PA`3`n`(List(Fraction(Integer)),Integer,Integer)->Union(U32Vector,"failed")`pModularHermitePade``0
oLFPI_to_PA`5`n`(List(Fraction(Polynomial(Integer))),Integer,List(Symbol),List(Integer),Integer)->Union(U32Vector,"failed")`pModularHermitePade``0
oLF_to_PA`5`n`(List(F),Integer,List(Symbol),List(Integer),Integer)->Union(U32Vector,"failed")`pModularHermitePadeSolver(F,S)``0
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``157121
oLT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``0
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``157236
oLazard2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``0
oLazardQuotient2`4`x`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`157294
oLazardQuotient`3`x`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`157482
oLazard`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``0
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``0
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``0
oLiePoly`1`x`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``0
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``157627
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``0
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``0
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``0
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``0
oNOT`1`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``0
oNOT`1`n`(_$)->_$`dSwitch``157838
oNot`1`n`(_$)->_$`dIndexedBits(mn)``157926
oNot`1`x`(_$)->_$`dSingleInteger``158000
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``0
oOMParseError?`1`x`(_$)->Boolean`dOpenMathErrorKind``158093
oOMReadError?`1`x`(_$)->Boolean`dOpenMathErrorKind``158176
oOMUnknownCD?`1`x`(_$)->Boolean`dOpenMathErrorKind``158255
oOMUnknownSymbol?`1`x`(_$)->Boolean`dOpenMathErrorKind``158347
oOMbindTCP`2`x`(_$,SingleInteger)->Boolean`dOpenMathConnection``158440
oOMcloseConn`1`x`(_$)->Void`dOpenMathConnection``158463
oOMclose`1`x`(_$)->Void`dOpenMathDevice``158488
oOMconnInDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``158573
oOMconnOutDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``158602
oOMconnectTCP`3`x`(_$,String,SingleInteger)->Boolean`dOpenMathConnection``158632
oOMencodingBinary`0`x`()->_$`dOpenMathEncoding``158658
oOMencodingSGML`0`x`()->_$`dOpenMathEncoding``158740
oOMencodingUnknown`0`x`()->_$`dOpenMathEncoding``158829
oOMencodingXML`0`x`()->_$`dOpenMathEncoding``159024
oOMgetApp`1`x`(_$)->Void`dOpenMathDevice``159107
oOMgetAtp`1`x`(_$)->Void`dOpenMathDevice``159191
oOMgetAttr`1`x`(_$)->Void`dOpenMathDevice``159278
oOMgetBVar`1`x`(_$)->Void`dOpenMathDevice``159361
oOMgetBind`1`x`(_$)->Void`dOpenMathDevice``159454
oOMgetEndApp`1`x`(_$)->Void`dOpenMathDevice``159534
oOMgetEndAtp`1`x`(_$)->Void`dOpenMathDevice``159620
oOMgetEndAttr`1`x`(_$)->Void`dOpenMathDevice``159709
oOMgetEndBVar`1`x`(_$)->Void`dOpenMathDevice``159794
oOMgetEndBind`1`x`(_$)->Void`dOpenMathDevice``159889
oOMgetEndError`1`x`(_$)->Void`dOpenMathDevice``159971
oOMgetEndObject`1`x`(_$)->Void`dOpenMathDevice``160053
oOMgetError`1`x`(_$)->Void`dOpenMathDevice``160137
oOMgetFloat`1`x`(_$)->DoubleFloat`dOpenMathDevice``160217
oOMgetInteger`1`x`(_$)->Integer`dOpenMathDevice``160285
oOMgetObject`1`x`(_$)->Void`dOpenMathDevice``160358
oOMgetString`1`x`(_$)->String`dOpenMathDevice``160440
oOMgetSymbol`1`x`(_$)->Record(cd:String,name:String)`dOpenMathDevice``160510
oOMgetType`1`x`(_$)->Symbol`dOpenMathDevice``160580
oOMgetVariable`1`x`(_$)->Symbol`dOpenMathDevice``160667
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``160741
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``160811
oOMmakeConn`1`x`(SingleInteger)->_$`dOpenMathConnection``160886
oOMopenFile`3`x`(String,String,OpenMathEncoding)->_$`dOpenMathDevice``160910
oOMopenString`2`x`(String,OpenMathEncoding)->_$`dOpenMathDevice``161179
oOMputApp`1`x`(_$)->Void`dOpenMathDevice``161314
oOMputAtp`1`x`(_$)->Void`dOpenMathDevice``161397
oOMputAttr`1`x`(_$)->Void`dOpenMathDevice``161483
oOMputBVar`1`x`(_$)->Void`dOpenMathDevice``161565
oOMputBind`1`x`(_$)->Void`dOpenMathDevice``161657
oOMputEndApp`1`x`(_$)->Void`dOpenMathDevice``161736
oOMputEndAtp`1`x`(_$)->Void`dOpenMathDevice``161821
oOMputEndAttr`1`x`(_$)->Void`dOpenMathDevice``161909
oOMputEndBVar`1`x`(_$)->Void`dOpenMathDevice``161993
oOMputEndBind`1`x`(_$)->Void`dOpenMathDevice``162087
oOMputEndError`1`x`(_$)->Void`dOpenMathDevice``162168
oOMputEndObject`1`x`(_$)->Void`dOpenMathDevice``162249
oOMputError`1`x`(_$)->Void`dOpenMathDevice``162332
oOMputFloat`2`x`(_$,DoubleFloat)->Void`dOpenMathDevice``162411
oOMputInteger`2`x`(_$,Integer)->Void`dOpenMathDevice``162501
oOMputObject`1`x`(_$)->Void`dOpenMathDevice``162595
oOMputString`2`x`(_$,String)->Void`dOpenMathDevice``162676
oOMputSymbol`3`x`(_$,String,String)->Void`dOpenMathDevice``162768
oOMputVariable`2`x`(_$,Symbol)->Void`dOpenMathDevice``162898
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``162994
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``163092
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``163189
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``163287
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``163413
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``163509
oOMsetEncoding`2`x`(_$,OpenMathEncoding)->Void`dOpenMathDevice``163709
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``163863
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``163977
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``164138
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`1`x`(_$)->String`cOpenMath``164302
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,_$)->Void`cOpenMath``164418
oOMwrite`2`x`(_$,Boolean)->String`cOpenMath``164567
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oOMwrite`3`x`(OpenMathDevice,_$,Boolean)->Void`cOpenMath``164811
oOR`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``0
oOr`2`n`(_$,_$)->_$`dIndexedBits(mn)``165059
oOr`2`x`(_$,_$)->_$`dSingleInteger``165148
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)``0
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``0
oPfaffian`1`n`(S)->R`xMatrixCategory&(S,R,Row,Col)``0
oPfaffian`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`165257
oPfaffian`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`165370
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``165483
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`165578
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``165639
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``165844
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``0
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``166140
oSEGMENT`1`n`(_$)->_$`dOutputForm``166400
oSEGMENT`1`x`(S)->_$`dUniversalSegment(S)``166461
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``166546
oSEGMENT`2`x`(S,S)->_$`cSegmentCategory(S)``166611
oSFunction`1`x`(List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``0
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``0
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``0
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``0
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``0
oShiftAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``166692
oShiftC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``166924
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``167234
oSi`1`x`(_$)->_$`cLiouvillianFunctionCategory``167286
oSomos`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``0
oSomos`1`x`(Union(PositiveInteger,Boolean))->_$`dGuessOption``167409
oSturmHabichtCoefficients`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(R)`pSturmHabichtPackage(R,x)``0
oSturmHabichtMultiple`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`0
oSturmHabichtSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``0
oSturmHabicht`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``0
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``167634
oUP2ifCan`1`n`(UP)->Union(overq:SparseUnivariatePolynomial(Fraction(Integer)),overan:SparseUnivariatePolynomial(AlgebraicNumber),failed:Boolean)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``0
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``167695
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,Rep)``167797
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``167839
oVSUPI_to_VPA`2`n`(Vector(SparseUnivariatePolynomial(Integer)),Integer)->Vector(U32Vector)`pModularHermitePade``0
oVSUPPI_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(Polynomial(Integer))),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePade``0
oVSUPS_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(S)),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePadeSolver(F,S)``0
oVectorise`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``168049
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``0
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``0
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(S,S)->S`xLogic&(S)``0
o\/`2`x`(_$,_$)->_$`cLogic``168089
o\/`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``168167
o\/`2`x`(_$,_$)->_$`dSingleInteger``168280
o^`2`n`(F,F)->F`pCombinatorialFunction(R,F)``168400
o^`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`0
o^`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``0
o^`2`n`(S,Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Fraction(Integer))->S`xRealClosedField&(S)``0
o^`2`n`(S,Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,Integer)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Integer)->S`xDivisionRing&(S)``0
o^`2`n`(S,Integer)->S`xGroup&(S)``0
o^`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
o^`2`n`(S,Integer)->S`xRealClosedField&(S)``0
o^`2`n`(S,Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,Integer)->_$`dFreeGroup(S)``168450
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`xMatrixCategory&(S,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMonoid&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,NonNegativeInteger)->_$`dFreeMonoid(S)``168527
o^`2`n`(S,NonNegativeInteger)->_$`dOrderedFreeMonoid(S)``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`xMonad&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMonoid&(S)``0
o^`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,PositiveInteger)->S`xSemiGroup&(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)``0
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
o^`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`0
o^`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`0
o^`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``0
o^`2`n`(_$,Integer)->_$`dInputForm``168604
o^`2`n`(_$,Integer)->_$`dOperator(R)``0
o^`2`n`(_$,NonNegativeInteger)->_$`dInputForm``168677
o^`2`n`(_$,NonNegativeInteger)->_$`dPattern(R)``168750
o^`2`n`(_$,_$)->_$`dOutputForm``168803
o^`2`n`(_$,_$)->_$`dPattern(R)``168857
o^`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``0
o^`2`x`(_$,Coef)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`168910
o^`2`x`(_$,Fraction(Integer))->_$`cRadicalCategory``169130
o^`2`x`(_$,Integer)->_$`cDivisionRing``169215
o^`2`x`(_$,Integer)->_$`cGroup``169287
o^`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`169359
o^`2`x`(_$,Integer)->_$`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`169505
o^`2`x`(_$,Integer)->_$`dModuleOperator(R,M)``169613
o^`2`x`(_$,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``169645
o^`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``169763
o^`2`x`(_$,NonNegativeInteger)->_$`cMonoid``169862
o^`2`x`(_$,NonNegativeInteger)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
o^`2`x`(_$,PositiveInteger)->_$`cMonad``169972
o^`2`x`(_$,PositiveInteger)->_$`cSemiGroup``170071
o^`2`x`(_$,_$)->_$`cElementaryFunctionCategory``170181
o^`2`x`(_$,_$)->_$`dCardinalNumber``170238
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``170345
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F)``170394
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``170436
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``170485
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``0
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``170540
oabs`1`n`(S)->R`xOctonionCategory&(S,R)``0
oabs`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oabs`1`n`(S)->S`xComplexCategory&(S,R)``0
oabs`1`n`(S)->S`xOrderedRing&(S)``0
oabs`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``170616
oabs`1`x`(_$)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`170682
oabs`1`x`(_$)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`170810
oabs`1`x`(_$)->_$`cComplexCategory(R)`has(R,RealNumberSystem)`170897
oabs`1`x`(_$)->_$`cOrderedRing``170980
oabs`1`x`(_$)->_$`cRealNumberSystem``171040
oabs`1`x`(_$)->_$`cSpecialFunctionCategory``171099
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``171159
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``171240
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``171321
oacos`1`n`(F)->F`pElementaryFunction(R,F)``171409
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)``0
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``171478
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``171550
oacos`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``171624
oacos`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``171692
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``172055
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``172145
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)``0
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``172226
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``172314
oacosh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``172404
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``172473
oacot`1`n`(F)->F`pElementaryFunction(R,F)``172561
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)``0
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``172633
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``172708
oacot`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``172785
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``172845
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``172935
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)``0
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``173019
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``173110
oacoth`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``173203
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``173275
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``173363
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)``0
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``173434
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``173508
oacsc`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``173584
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``173643
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``173733
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)``0
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``173816
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``173906
oacsch`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``173998
oadaptive3D?`0`n`()->Boolean`dPlot3D``0
oadaptive?`0`n`()->Boolean`dPlot``0
oadaptive`0`x`()->Boolean`pGraphicsDefaults``0
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``0
oadaptive`1`x`(Boolean)->_$`dDrawOption``174069
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``174249
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``174458
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``174605
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``174758
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``175136
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``0
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``0
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``0
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``0
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``0
oaddWarning`1`n`(OutputForm)->Void`pUnittestCount``175377
oadd_slots`2`n`(List(Integer),_$)->Void`dVectorModularReconstructor``175552
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
oadditive?`2`n`(_$,PositiveInteger)->Boolean`dDirichletRing(Coef)``0
oaddmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``175616
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`n`(_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`175697
oadjoint`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``175879
oadjoint`1`x`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`175938
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`176010
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``176128
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``0
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``0
oairyAi`1`x`(_$)->_$`cSpecialFunctionCategory``176199
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``176264
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``0
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``0
oairyBi`1`x`(_$)->_$`cSpecialFunctionCategory``176335
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``0
oalgSplitSimple`2`n`(S,(UP)->UP)->Record(num:S,den:UP,derivden:UP,gd:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oalgSplitSimple`2`x`(_$,(UP)->UP)->Record(num:_$,den:UP,derivden:UP,gd:UP)`cFunctionFieldCategory(F,UP,UPUP)``0
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(_$)->Boolean`cExtensionField(F)``176400
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``176517
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``176667
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
oalgebraicOf`2`x`(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),OutputForm)->_$`dRealClosure(TheField)``0
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``0
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``0
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``176852
oalgint`4`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``0
oalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``0
oallDegrees`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``0
oallDegrees`1`x`(Boolean)->_$`dGuessOption``176996
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`x`(Polynomial(Fraction(Integer)))->List(_$)`cRealClosedField``0
oallRootsOf`1`x`(Polynomial(Integer))->List(_$)`cRealClosedField``0
oallRootsOf`1`x`(Polynomial(_$))->List(_$)`cRealClosedField``0
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``0
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``0
oallRootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``0
oallRootsOf`1`x`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``177247
oalphabetic?`1`x`(_$)->Boolean`dCharacter``177355
oalphabetic`0`x`()->_$`dCharacterClass``177469
oalphanumeric?`1`x`(_$)->Boolean`dCharacter``177594
oalphanumeric`0`x`()->_$`dCharacterClass``177735
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``0
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``0
oalternating`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``0
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``177864
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``178110
oand`2`n`(_$,_$)->_$`dOutputForm``178356
oand`2`x`(_$,_$)->_$`cBitAggregate``178413
oand`2`x`(_$,_$)->_$`dBoolean``178515
oanfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(AlgebraicNumber)),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)`has(F,RetractableTo(AlgebraicNumber))`0
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``178601
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``178794
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``178987
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``179148
oantiCommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
oantiCommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``179309
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``0
oantipode`1`x`(_$)->_$`cHopfAlgebra(R,MxM)``179369
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``179441
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``179650
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,CommutativeRing)`0
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,CommutativeRing)`0
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)`179859
oany`2`x`(SExpression,None)->_$`dAny``180233
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``0
oappend`2`x`(_$,_$)->_$`dList(S)``180425
oapplyQuote`2`n`(Symbol,List(S))->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`n`(Symbol,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`x`(Symbol,List(_$))->_$`cFunctionSpace(R)``0
oapplyQuote`2`x`(Symbol,_$)->_$`cFunctionSpace(R)``0
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`x`(Symbol,_$,_$)->_$`cFunctionSpace(R)``0
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`x`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``0
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`x`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``0
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``0
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``0
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`x`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``180583
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``180850
oapply`3`x`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``181011
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``0
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``0
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``181129
oapproximants`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``0
oapproximate`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(^,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`181442
oapproximate`2`x`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``0
oapproximate`2`x`(_$,_$)->Fraction(Integer)`cRealClosedField``0
oapproximate`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``181577
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`0
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`0
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`0
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``181709
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``181763
oargscript`2`x`(_$,List(OutputForm))->_$`dSymbol``0
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``181818
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``181948
oargumentList!`3`n`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``182079
oargumentListOf`2`n`(Symbol,_$)->List(Symbol)`dTheSymbolTable``182216
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``182292
oargument`1`n`(_$)->List(S)`dKernel(S)``182370
oargument`1`x`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`182444
oarity`1`x`(_$)->Union(NonNegativeInteger,"failed")`dBasicOperator``182524
oaromberg`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``0
oarrayStack`1`x`(List(S))->_$`dArrayStack(S)``182644
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``182807
oasec`1`n`(F)->F`pElementaryFunction(R,F)``182896
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)``0
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``182966
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``183039
oasec`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``183114
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``183172
oasech`1`n`(F)->F`pElementaryFunction(R,F)``183263
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)``0
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``183345
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``183434
oasech`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``183525
oasimpson`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``0
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``183595
oasin`1`n`(F)->F`pElementaryFunction(R,F)``183684
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)``0
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``183752
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``183823
oasin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``183896
oasin`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``183965
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``184327
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``184418
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)``0
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``184498
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``184585
oasinh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``184674
oassert`2`x`(_$,Symbol)->_$`dBasicOperator``184742
oassign`2`n`(Symbol,Expression(Complex(Float)))->_$`dFortranCode``184893
oassign`2`n`(Symbol,Expression(Float))->_$`dFortranCode``184977
oassign`2`n`(Symbol,Expression(Integer))->_$`dFortranCode``185061
oassign`2`n`(Symbol,Expression(MachineComplex))->_$`dFortranCode``185145
oassign`2`n`(Symbol,Expression(MachineFloat))->_$`dFortranCode``185229
oassign`2`n`(Symbol,Expression(MachineInteger))->_$`dFortranCode``185313
oassign`2`n`(Symbol,Matrix(Expression(Complex(Float))))->_$`dFortranCode``185397
oassign`2`n`(Symbol,Matrix(Expression(Float)))->_$`dFortranCode``185481
oassign`2`n`(Symbol,Matrix(Expression(Integer)))->_$`dFortranCode``185565
oassign`2`n`(Symbol,Matrix(Expression(MachineComplex)))->_$`dFortranCode``185649
oassign`2`n`(Symbol,Matrix(Expression(MachineFloat)))->_$`dFortranCode``185733
oassign`2`n`(Symbol,Matrix(Expression(MachineInteger)))->_$`dFortranCode``185817
oassign`2`n`(Symbol,Matrix(MachineComplex))->_$`dFortranCode``185901
oassign`2`n`(Symbol,Matrix(MachineFloat))->_$`dFortranCode``185985
oassign`2`n`(Symbol,Matrix(MachineInteger))->_$`dFortranCode``186069
oassign`2`n`(Symbol,String)->_$`dFortranCode``186153
oassign`2`n`(Symbol,Vector(Expression(Complex(Float))))->_$`dFortranCode``186237
oassign`2`n`(Symbol,Vector(Expression(Float)))->_$`dFortranCode``186321
oassign`2`n`(Symbol,Vector(Expression(Integer)))->_$`dFortranCode``186405
oassign`2`n`(Symbol,Vector(Expression(MachineComplex)))->_$`dFortranCode``186489
oassign`2`n`(Symbol,Vector(Expression(MachineFloat)))->_$`dFortranCode``186573
oassign`2`n`(Symbol,Vector(Expression(MachineInteger)))->_$`dFortranCode``186657
oassign`2`n`(Symbol,Vector(MachineComplex))->_$`dFortranCode``186741
oassign`2`n`(Symbol,Vector(MachineFloat))->_$`dFortranCode``186825
oassign`2`n`(Symbol,Vector(MachineInteger))->_$`dFortranCode``186909
oassign`2`n`(_$,_$)->_$`dOutputForm``186993
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->_$`dFortranCode``0
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Float))->_$`dFortranCode``0
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Integer))->_$`dFortranCode``0
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->_$`dFortranCode``0
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->_$`dFortranCode``0
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->_$`dFortranCode``0
oassoc`2`x`(Key,_$)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``187070
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`0
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``0
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`n`(S,S)->Boolean`xIntegralDomain&(S)``0
oassociates?`2`x`(_$,_$)->Boolean`cIntegralDomain``187228
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``187358
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``187438
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``187518
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`187863
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(_$,_$,_$)->_$`cNonAssociativeRng``188208
oatType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``188276
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``188351
oatan`1`n`(F)->F`pElementaryFunction(R,F)``188440
oatan`1`n`(S)->S`xComplexCategory&(S,R)``0
oatan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``0
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``188511
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``188585
oatan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``188661
oatan`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``188730
oatan`2`x`(_$,_$)->_$`dDoubleFloat``189149
oatan`2`x`(_$,_$)->_$`dFloat``189235
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``189321
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``189412
oatanh`1`n`(S)->S`xComplexCategory&(S,R)``0
oatanh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oatanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``0
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``189495
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``189585
oatanh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``189677
oatom?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``189748
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``189814
oatrapezoidal`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``0
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``189907
oaugment`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``190007
oaugment`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``190185
oaugment`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``190283
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``190714
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``0
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``0
oaxes`2`x`(_$,String)->Void`dThreeDimensionalViewport``0
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``0
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``0
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
oback`1`x`(_$)->S`cQueueAggregate(S)``190905
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``0
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``0
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``191053
obag`1`n`(List(S))->A`xBagAggregate&(A,S)``0
obag`1`x`(List(S))->_$`cBagAggregate(S)``191185
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``191288
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``191406
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``191592
obandedHessian`3`n`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``0
obandedJacobian`4`n`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``0
obaseRDE`2`n`(Fraction(UP),Fraction(UP))->Record(ans:Fraction(UP),nosol:Boolean)`pTranscendentalRischDE(F,UP)``0
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``0
obase`0`n`()->PositiveInteger`dMachineFloat``0
obase`0`x`()->PositiveInteger`cFloatingPointSystem``191757
obase`0`x`()->_$`cIntegerNumberSystem``191847
obase`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``0
obase`1`x`(_$)->List(S)`dPermutationGroup(S)``0
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:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``191935
obasicSet`3`n`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`3`x`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``192340
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``192557
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``192810
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``192968
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``193136
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``193260
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``193437
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``193618
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``193797
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``194018
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``194143
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``194321
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`x`()->Vector(_$)`cFiniteAlgebraicExtensionField(F)``194504
obasis`0`x`()->Vector(_$)`cFramedAlgebra(R,UP)``194580
obasis`0`x`()->Vector(_$)`cFramedNonAssociativeAlgebra(R)``194643
obasis`1`n`(List(Vector(R)))->_$`dVectorSpaceBasis(R)``194706
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``0
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``0
obasis`1`n`(_$)->Vector(A)`dFramedModule(R,F,UP,A,ibasis)``0
obasis`1`x`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)``194804
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`0
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``0
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``0
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``0
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``0
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``0
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``0
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``0
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``0
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``0
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace``0
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`0
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``0
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``0
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``194895
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``0
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``0
obesselI`2`x`(_$,_$)->_$`cSpecialFunctionCategory``194986
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``195066
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``0
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``0
obesselJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``195157
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``195228
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``0
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``0
obesselK`2`x`(_$,_$)->_$`cSpecialFunctionCategory``195319
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``195400
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``0
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``0
obesselY`2`x`(_$,_$)->_$`cSpecialFunctionCategory``195491
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`195563
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``195699
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`195806
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``195960
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``0
obinarySearchTree`1`x`(List(S))->_$`dBinarySearchTree(S)``196346
obinaryTournament`1`x`(List(S))->_$`dBinaryTournament(S)``196394
obinaryTree`1`x`(S)->_$`dBinaryTree(S)``196512
obinaryTree`3`x`(_$,S,_$)->_$`dBinaryTree(S)``196617
obinary`1`x`(Fraction(Integer))->_$`dBinaryExpansion``196750
obinary`2`n`(_$,List(_$))->_$`dInputForm``196824
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,CommutativeRing)`196938
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``197039
obinomial`2`n`(Integer,RationalNumber)->()->Integer`pRandomIntegerDistributions``197216
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`dOutputForm``197260
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``197360
obinomial`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``197566
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``0
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``0
obirth`1`n`(_$)->_$`dSubSpace(n,R)``197762
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(_$,_$)->Boolean`cIntegerNumberSystem``197799
obitCoef`2`n`(Integer,Integer)->Integer`pIntegerBits``197896
obitLength`1`n`(Integer)->Integer`pIntegerBits``197973
obitTruth`2`n`(Integer,Integer)->Boolean`pIntegerBits``198054
obits`0`x`()->PositiveInteger`cFloatingPointSystem``198148
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`198213
obits`2`x`(NonNegativeInteger,Boolean)->_$`dBits``198306
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``0
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``198378
oblock`1`n`(List(_$))->_$`dFortranCode``198473
oblue`0`x`()->_$`dColor``198563
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``198638
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``0
obottom!`1`x`(_$)->S`cDequeueAggregate(S)``198722
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`198804
obox`1`n`(List(S))->S`xExpressionSpace&(S)``0
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(_$)->_$`dOutputForm``198872
obox`1`x`(List(_$))->_$`cExpressionSpace``198921
obox`1`x`(_$)->_$`cExpressionSpace``199234
obrace`0`n`()->A`xFiniteSetAggregate&(A,S)``0
obrace`0`x`()->_$`cSetAggregate(S)``199471
obrace`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
obrace`1`n`(List(_$))->_$`dOutputForm``199647
obrace`1`n`(_$)->_$`dOutputForm``199778
obrace`1`x`(List(S))->_$`cSetAggregate(S)``199865
obracket`1`n`(List(_$))->_$`dOutputForm``200045
obracket`1`n`(_$)->_$`dOutputForm``200179
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)``0
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)``0
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``200260
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``200336
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``200415
obright`1`x`(Color)->_$`dPalette``0
obright`1`x`(List(String))->List(String)`pDisplayPackage``0
obright`1`x`(String)->List(String)`pDisplayPackage``0
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``200500
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``200660
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``0
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``0
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``0
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``0
obsolve`5`n`(Matrix(GR),List(Fraction(Polynomial(R))),NonNegativeInteger,String,Integer)->Record(rgl:List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),rgsz:Integer)`pParametricLinearEquations(R,Var,Expon,GR)``0
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``0
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`200963
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``201006
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``201053
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``0
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``0
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``0
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`201098
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`201224
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`201367
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`201496
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`201642
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`201770
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`201915
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`202041
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`202184
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`202308
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`202449
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`202576
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`202720
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`202842
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`202976
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`203101
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`203238
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`203362
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`203498
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`203625
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`203750
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`0
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`203894
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`204016
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`204150
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`204270
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`204402
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`204525
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``0
ocall`1`n`(String)->_$`dFortranCode``204660
ocanonicalBasis`1`n`(NonNegativeInteger)->_$`dVectorSpaceBasis(R)``204735
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``0
ocar`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``204841
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``204895
ocarmichaelLambda`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``0
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``0
ocdr`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``205011
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`205078
oceiling`1`x`(_$)->_$`cRealNumberSystem``205157
ocenter`1`n`(_$)->_$`dOutputForm``205220
ocenter`1`x`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``205282
ocenter`2`n`(_$,Integer)->_$`dOutputForm``205369
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``0
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``0
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
ocfirst`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``0
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``205451
ochangeBase`3`n`(Integer,Integer,PositiveInteger)->_$`dMachineFloat``0
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``205593
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``0
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``205750
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``205856
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``206001
ocharClass`1`x`(List(Character))->_$`dCharacterClass``206141
ocharClass`1`x`(String)->_$`dCharacterClass``206260
ochar`1`x`(Integer)->_$`dCharacter``206381
ochar`1`x`(String)->_$`dCharacter``206521
ocharacter?`1`n`(_$)->Boolean`dFortranScalarType``206602
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``206698
ocharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ocharacteristicPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`x`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``0
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``0
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``0
ocharacteristicPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)``206807
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``0
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``0
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``0
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``0
ocharacteristicSerie`1`x`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``0
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``0
ocharacteristicSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``0
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``0
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`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``206956
ocharacteristic`0`x`()->NonNegativeInteger`cRing``207027
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``0
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cCharacteristicNonZero``207235
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`207353
ocharthRoot`1`x`(_$)->_$`cFiniteFieldCategory``207474
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``0
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``0
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``0
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``0
ocheckExtraValues`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``0
ocheckExtraValues`1`x`(Boolean)->_$`dGuessOption``207600
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``0
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``0
ocheckOptions`1`n`(List(GuessOption))->Void`dGuessOptionFunctions0``0
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``207793
ocheck_sol1a`6`n`(Vector(U32Vector),U32Vector,(U32Vector,Integer,Integer)->Vector(U32Vector),Integer,Integer,Integer)->U32Vector`pModularHermitePade``0
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ocheck`1`x`(Union("skip","MonteCarlo","deterministic"))->_$`dGuessOption``207914
ocheck`1`x`(_$)->_$`cThreeSpaceCategory(R)``208202
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``0
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``0
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``0
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,SetCategory)`208328
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``0
ochildren`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(_$)->List(_$)`dSubSpace(n,R)``208408
ochildren`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``208448
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``208528
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``208787
ochineseRemainder`3`n`(List(UP),List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))),NonNegativeInteger)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pChineseRemainderToolsForIntegralBases(K,R,UP)``0
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``0
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``209077
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorModularReconstructor``0
ochkLibraryError`0`n`()->Void`pUnittestCount``209180
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``0
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``0
oclearCache`0`n`()->Void`pSortedCache(S)``209259
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``209305
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``209485
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``209665
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``209810
oclearFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``209959
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``210031
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``210126
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``210195
oclikeUniv`1`n`(Symbol)->(Polynomial(R))->SparseUnivariatePolynomial(Polynomial(R))`pWeierstrassPreparation(R)``0
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``210275
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``0
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``0
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``0
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``0
oclipSurface`2`x`(_$,String)->Void`dThreeDimensionalViewport``0
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``0
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``0
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``0
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``0
oclip`1`x`(Boolean)->_$`dDrawOption``210491
oclip`1`x`(List(Segment(Float)))->_$`dDrawOption``0
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``0
oclose!`1`x`(_$)->_$`cFileCategory(Name,S)``210655
oclose!`1`x`(_$)->_$`dLibrary``210733
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``0
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``210814
oclose`1`x`(_$)->Void`dThreeDimensionalViewport``211018
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``0
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``0
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``0
oclosedCurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``0
oclosedCurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``0
oclosedCurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``0
oclosedCurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``0
oclosedCurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``0
ocmult`1`n`(List(SparseMultivariatePolynomial(R0,Kernel(F))))->SparseMultivariatePolynomial(R0,Kernel(F))`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``0
ocn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``211226
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`211324
ocode`1`n`(_$)->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:_$),commonBranch:Record(name:Symbol,contents:List(Symbol)),printBranch:List(OutputForm))`dFortranCode``0
ocoefChoose`2`n`(Integer,Factored(P))->P`pMultivariateSquareFree(E,OV,R,P)``0
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``211433
ocoef`2`x`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``0
ocoef`2`x`(_$,OrderedFreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``0
ocoef`2`x`(_$,_$)->R`cXFreeAlgebra(vl,R)``211551
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,IndexedExponents(Var))->Coef`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``0
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``0
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``0
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``211683
ocoefficient`2`x`(S,_$)->E`cFreeAbelianMonoidCategory(S,E)``211904
ocoefficient`2`x`(_$,E)->R`cAbelianMonoidRing(R,E)``212063
ocoefficient`2`x`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,bLin)``0
ocoefficient`2`x`(_$,M)->R`cMonoidRingCategory(R,M)``212232
ocoefficient`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``0
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cMonogenicLinearOperator(R)``0
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cUnivariateSkewPolynomialCategory(R)``212360
ocoefficient`2`x`(_$,S)->R`cFreeModuleCategory(R,S)``212473
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)``0
ocoefficient`3`x`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``212560
ocoefficient`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``0
ocoefficient`3`x`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``212777
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``212935
ocoefficients`1`x`(_$)->List(R)`cFiniteAbelianMonoidRing(R,E)``213276
ocoefficients`1`x`(_$)->List(R)`cFreeModuleCategory(R,S)``213370
ocoefficients`1`x`(_$)->List(R)`cMonoidRingCategory(R,M)``213446
ocoefficients`1`x`(_$)->List(R)`cUnivariateSkewPolynomialCategory(R)``213509
ocoefficients`1`x`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``213601
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`0
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`0
ocoerceL`1`n`(OutputForm)->String`dHTMLFormat``0
ocoerceL`1`x`(OutputForm)->String`dMathMLFormat``0
ocoerceListOfPairs`1`x`(List(List(S)))->_$`dPermutation(S)``213756
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``214050
ocoercePreimagesImages`1`x`(List(List(S)))->_$`dPermutation(S)``214183
ocoerceS`1`n`(OutputForm)->String`dHTMLFormat``0
ocoerceS`1`x`(OutputForm)->String`dMathMLFormat``0
ocoerceToType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``214397
ocoerce`1`n`((PositiveInteger)->Coef)->_$`dDirichletRing(Coef)``0
ocoerce`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xBinaryRecursiveAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDictionaryOperations&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteSetAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xHomogeneousAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOneDimensionalArrayAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``0
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(Complex(Float))->_$`dMachineComplex``214472
ocoerce`1`n`(Complex(Integer))->_$`dMachineComplex``214538
ocoerce`1`n`(Complex(MachineFloat))->_$`dMachineComplex``214604
ocoerce`1`n`(Complex(MachineInteger))->_$`dMachineComplex``214670
ocoerce`1`n`(E)->_$`dXPolynomialRing(R,E)``214736
ocoerce`1`n`(Equation(Expression(Complex(Float))))->_$`dFortranProgram(name,returnType,arguments,symbols)``0
ocoerce`1`n`(Equation(Expression(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``0
ocoerce`1`n`(Equation(Expression(Integer)))->_$`dFortranProgram(name,returnType,arguments,symbols)``0
ocoerce`1`n`(Equation(Expression(MachineComplex)))->_$`dFortranProgram(name,returnType,arguments,symbols)``0
ocoerce`1`n`(Equation(Expression(MachineFloat)))->_$`dFortranProgram(name,returnType,arguments,symbols)``0
ocoerce`1`n`(Equation(Expression(MachineInteger)))->_$`dFortranProgram(name,returnType,arguments,symbols)``0
ocoerce`1`n`(Expression(Complex(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``0
ocoerce`1`n`(Expression(Float))->_$`dFortranProgram(name,returnType,arguments,symbols)``0
ocoerce`1`n`(Expression(Integer))->Expression(_$)`dMachineInteger``214779
ocoerce`1`n`(Expression(Integer))->_$`dFortranProgram(name,returnType,arguments,symbols)``0
ocoerce`1`n`(Expression(MachineComplex))->_$`dFortranProgram(name,returnType,arguments,symbols)``0
ocoerce`1`n`(Expression(MachineFloat))->_$`dFortranProgram(name,returnType,arguments,symbols)``0
ocoerce`1`n`(Expression(MachineInteger))->_$`dFortranProgram(name,returnType,arguments,symbols)``0
ocoerce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``214852
ocoerce`1`n`(FortranCode)->_$`cFortranFunctionCategory``214939
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixCategory``215056
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixFunctionCategory``215173
ocoerce`1`n`(FortranCode)->_$`cFortranVectorCategory``215290
ocoerce`1`n`(FortranCode)->_$`cFortranVectorFunctionCategory``215407
ocoerce`1`n`(FortranCode)->_$`dFortranProgram(name,returnType,arguments,symbols)``215524
ocoerce`1`n`(FortranScalarType)->_$`dFortranType``0
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`(GraphImage)->TwoDimensionalViewport`pViewportPackage``0
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`xRing&(S)``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`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(LiePolynomial(VarSet,R))->_$`dXPBWPolynomial(VarSet,R)``0
ocoerce`1`n`(List(FortranCode))->_$`cFortranFunctionCategory``215565
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixCategory``215687
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixFunctionCategory``215809
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorCategory``215931
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorFunctionCategory``216053
ocoerce`1`n`(List(FortranCode))->_$`dFortranProgram(name,returnType,arguments,symbols)``216175
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``0
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``0
ocoerce`1`n`(MachineInteger)->_$`dMachineFloat``216217
ocoerce`1`n`(Matrix(MachineFloat))->_$`cFortranMatrixCategory``216289
ocoerce`1`n`(OutputForm)->String`dHTMLFormat``0
ocoerce`1`n`(P)->_$`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``216366
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->_$`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``216465
ocoerce`1`n`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->_$`dThreeDimensionalMatrix(R)``0
ocoerce`1`n`(PrimitiveArray(S))->_$`dTuple(S)``216578
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))->_$`dModuleMonomial(IS,E,ff)``0
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranFunctionCategory``216639
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixCategory``216831
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixFunctionCategory``217023
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorCategory``217215
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorFunctionCategory``217407
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`dFortranProgram(name,returnType,arguments,symbols)``0
ocoerce`1`n`(Rep)->_$`dModMonic(R,Rep)``217599
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)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->OutputForm`xAlgebra&(S,R)``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`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`xRing&(S)``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`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`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->_$`dMakeCachableSet(S)``217637
ocoerce`1`n`(SMP)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``217706
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dInnerAlgebraicNumber``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Stream(Coef))->_$`dDirichletRing(Coef)``0
ocoerce`1`n`(String)->_$`dFortranScalarType``217788
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->_$`dFortranScalarType``218077
ocoerce`1`n`(Symbol)->_$`dSwitch``218341
ocoerce`1`n`(UnivariatePolynomial('x,Coef))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``0
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``0
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)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``218381
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``218446
ocoerce`1`n`(Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``218486
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``218575
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``218664
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``218766
ocoerce`1`n`(Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``218855
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``218944
ocoerce`1`n`(Variable(x))->_$`dUnivariateSkewPolynomial(x,R,sigma,delta)``219046
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``0
ocoerce`1`n`(Vector(MachineFloat))->_$`cFortranVectorCategory``219109
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``219186
ocoerce`1`n`(_$)->(PositiveInteger)->Coef`dDirichletRing(Coef)``0
ocoerce`1`n`(_$)->Complex(Float)`dMachineComplex``219327
ocoerce`1`n`(_$)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``0
ocoerce`1`n`(_$)->Float`dMachineFloat``0
ocoerce`1`n`(_$)->List(Integer)`dPartition``219392
ocoerce`1`n`(_$)->List(Vector(R))`dVectorSpaceBasis(R)``219460
ocoerce`1`n`(_$)->Magma(VarSet)`dLyndonWord(VarSet)``219525
ocoerce`1`n`(_$)->Matrix(R)`dRectangularMatrix(m,n,R)``219641
ocoerce`1`n`(_$)->Matrix(R)`dSquareMatrix(ndim,R)``219755
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dLyndonWord(VarSet)``0
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dMagma(VarSet)``0
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``0
ocoerce`1`n`(_$)->OutputForm`dFortranCode``0
ocoerce`1`n`(_$)->OutputForm`dFortranType``219868
ocoerce`1`n`(_$)->OutputForm`dGraphImage``0
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``0
ocoerce`1`n`(_$)->OutputForm`dVectorSpaceBasis(R)``219931
ocoerce`1`n`(_$)->P`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``219987
ocoerce`1`n`(_$)->Polynomial(R)`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``220045
ocoerce`1`n`(_$)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``0
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``220131
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``220169
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``220207
ocoerce`1`n`(_$)->Record(index:IS,exponent:E)`dModuleMonomial(IS,E,ff)``0
ocoerce`1`n`(_$)->SExpression`dFortranScalarType``220245
ocoerce`1`n`(_$)->Stream(Coef)`dDirichletRing(Coef)``0
ocoerce`1`n`(_$)->Symbol`dFortranScalarType``220326
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``220394
ocoerce`1`n`(_$)->Table(Symbol,FortranType)`dSymbolTable``220437
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``0
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``0
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``0
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``0
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``220494
ocoerce`1`x`(A)->_$`dAssociatedJordanAlgebra(R,A)``220577
ocoerce`1`x`(A)->_$`dAssociatedLieAlgebra(R,A)``220740
ocoerce`1`x`(Character)->_$`cStringAggregate``220897
ocoerce`1`x`(Col)->_$`cMatrixCategory(R,Row,Col)``220988
ocoerce`1`x`(Color)->_$`dPalette``0
ocoerce`1`x`(DirectProduct(dim,R))->_$`dCartesianTensor(minix,dim,R)``0
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``221065
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``221222
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``221683
ocoerce`1`x`(FourierComponent(E))->_$`dFourierSeries(R,E)``222147
ocoerce`1`x`(Fraction(Factored(R)))->_$`dPartialFraction(R)``0
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``222214
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`0
ocoerce`1`x`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`0
ocoerce`1`x`(Integer)->_$`cNonAssociativeRing``222364
ocoerce`1`x`(Integer)->_$`cRing``222444
ocoerce`1`x`(Integer)->_$`dOrdSetInts``222531
ocoerce`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
ocoerce`1`x`(List(List(S)))->_$`dPermutation(S)``222601
ocoerce`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``0
ocoerce`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``222925
ocoerce`1`x`(List(Record(coef:R,monom:M)))->_$`cMonoidRingCategory(R,M)``0
ocoerce`1`x`(List(S))->_$`dDataList(S)``223013
ocoerce`1`x`(List(S))->_$`dDatabase(S)``223070
ocoerce`1`x`(List(S))->_$`dPermutation(S)``223125
ocoerce`1`x`(List(S))->_$`dStream(S)``0
ocoerce`1`x`(List(_$))->_$`dCartesianTensor(minix,dim,R)``223353
ocoerce`1`x`(OutputForm)->String`dMathMLFormat``0
ocoerce`1`x`(OutputForm)->_$`dScriptFormulaFormat``0
ocoerce`1`x`(OutputForm)->_$`dTexFormat``0
ocoerce`1`x`(Pi)->Expression(R)`pPiCoercions(R)``223441
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``223510
ocoerce`1`x`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``0
ocoerce`1`x`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`0
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``0
ocoerce`1`x`(R)->_$`cAlgebra(R)``223636
ocoerce`1`x`(R)->_$`cLeftAlgebra(R)``223719
ocoerce`1`x`(R)->_$`cXAlgebra(R)``223809
ocoerce`1`x`(R)->_$`dFourierSeries(R,E)``223852
ocoerce`1`x`(R)->_$`dOrdinaryDifferentialRing(Kernels,R,var)``223918
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``224003
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``224106
ocoerce`1`x`(S)->ScriptFormulaFormat`pScriptFormulaFormat1(S)``224187
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``224460
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``224687
ocoerce`1`x`(S)->_$`cDifferentialVariableCategory(S)``225022
ocoerce`1`x`(S)->_$`cRetractableTo(S)``225118
ocoerce`1`x`(Segment(S))->_$`dUniversalSegment(S)``225178
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``225253
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dAlgebraicNumber``0
ocoerce`1`x`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`0
ocoerce`1`x`(SquareMatrix(dim,R))->_$`dCartesianTensor(minix,dim,R)``0
ocoerce`1`x`(String)->_$`cFileNameCategory``225387
ocoerce`1`x`(String)->_$`dIndexCard``225497
ocoerce`1`x`(String)->_$`dSymbol``225670
ocoerce`1`x`(Symbol)->_$`dOpenMathErrorKind``225736
ocoerce`1`x`(Symbol)->_$`dTaylorSeries(Coef)``225980
ocoerce`1`x`(ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``226043
ocoerce`1`x`(UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``226131
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``0
ocoerce`1`x`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``226218
ocoerce`1`x`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``226296
ocoerce`1`x`(Variable(x))->_$`dUnivariatePolynomial(x,R)``226385
ocoerce`1`x`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``226468
ocoerce`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``226675
ocoerce`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``226749
ocoerce`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``226824
ocoerce`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``226903
ocoerce`1`x`(_$)->Fraction(R)`dPartialFraction(R)``226977
ocoerce`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``0
ocoerce`1`x`(_$)->List(S)`dDataList(S)``227079
ocoerce`1`x`(_$)->OutputForm`cThreeSpaceCategory(R)``0
ocoerce`1`x`(_$)->OutputForm`dTableau(S)``0
ocoerce`1`x`(_$)->OutputForm`dVoid``227144
ocoerce`1`x`(_$)->R`dOrdinaryDifferentialRing(Kernels,R,var)``227203
ocoerce`1`x`(_$)->RadixExpansion(10)`dDecimalExpansion``227287
ocoerce`1`x`(_$)->RadixExpansion(16)`dHexadecimalExpansion``227375
ocoerce`1`x`(_$)->RadixExpansion(2)`dBinaryExpansion``227467
ocoerce`1`x`(_$)->S`cCoercibleTo(S)``227553
ocoerce`1`x`(_$)->String`cFileNameCategory``227619
ocoerce`1`x`(_$)->Tree(S)`dPendantTree(S)``227731
ocoerce`1`x`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``0
ocoerce`1`x`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``0
ocoerce`1`x`(vl)->_$`cXFreeAlgebra(vl,R)``227769
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``0
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(_$)->_$`cTriangularSetCategory(R,E,V,P)``227811
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)``227959
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)``228123
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``228290
ocolorDef`3`x`(_$,Color,Color)->Void`dThreeDimensionalViewport``0
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``0
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``0
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``0
ocolor`1`n`(Point(R))->R`pPointPackage(R)``0
ocolor`1`x`(Integer)->_$`dColor``228442
ocolumnSpace`1`n`(Matrix(R))->_$`dVectorSpaceBasis(R)``228512
ocolumnSpace`1`n`(S)->List(Col)`xMatrixCategory&(S,R,Row,Col)``0
ocolumnSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`228730
ocolumnSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`228847
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``228965
ocolumn`2`x`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``229093
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``229217
ocomment`1`n`(List(String))->_$`dFortranCode``229312
ocomment`1`n`(String)->_$`dFortranCode``229419
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``229521
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``229641
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``229761
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``229864
ocommon`2`n`(Symbol,List(Symbol))->_$`dFortranCode``229971
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``230056
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``230140
ocommutativeEquality`2`n`(_$,_$)->Boolean`dListMonoidOps(S,E,un)``230224
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`x`(_$,_$)->_$`cGroup``230343
ocommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``230416
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``0
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``230472
ocompactFraction`1`x`(_$)->_$`dPartialFraction(R)``230520
ocompanionBlocks`2`n`(Matrix(K),Vector(K))->List(Record(C:Matrix(K),g:Vector(K)))`pPseudoLinearNormalForm(K)``0
ocomparison`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``230721
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Integer`pMultivariateSquareFree(E,OV,R,P)``0
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``230988
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``0
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``0
ocomplementSpace`1`n`(List(Vector(R)))->_$`dVectorSpaceBasis(R)``231321
ocomplementSpace`1`n`(_$)->_$`dVectorSpaceBasis(R)``231478
ocomplementSpace`2`n`(List(Vector(R)),NonNegativeInteger)->_$`dVectorSpaceBasis(R)``231641
ocomplementSpace`2`n`(_$,NonNegativeInteger)->_$`dVectorSpaceBasis(R)``231837
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`x`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`232048
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``232179
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``0
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``0
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``0
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``0
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``0
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``0
ocomplete`1`x`(_$)->_$`cLazyStreamAggregate(S)``232311
ocomplete`1`x`(_$)->_$`cPAdicIntegerCategory(p)``232458
ocomplete`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``232522
ocomplete`1`x`(_$)->_$`dContinuedFraction(R)``232671
ocomplex?`1`n`(_$)->Boolean`dFortranScalarType``232924
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``0
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``0
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``233016
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``233163
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``0
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``0
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``0
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``0
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``0
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``233310
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``0
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`0
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``0
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``0
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``0
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``233374
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``233490
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``0
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``0
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`233606
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`233741
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`233876
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`234011
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`234146
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`234279
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`234414
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`234584
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`234754
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`234924
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`235064
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`235234
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`235404
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`235481
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`235558
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`235635
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`235712
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`235789
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`235866
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``235943
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`236020
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`236132
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`236244
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`236356
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`236468
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`236549
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`236661
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``236773
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``0
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``0
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``0
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``0
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``0
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``0
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``0
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``0
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``0
ocomplex`2`x`(R,R)->_$`cComplexCategory(R)``236885
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``0
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``0
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``0
ocomponents`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``0
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
ocompose`2`x`(UP,UP)->UP`pPolynomialComposition(UP,R)``236943
ocomposite`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``0
ocomposite`2`n`(Fraction(S),S)->Union(Fraction(S),"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(S,S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`x`(Fraction(_$),_$)->Union(Fraction(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`236986
ocomposite`2`x`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`237112
ocomposites`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``0
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``0
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``237221
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``237412
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``0
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``237581
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat!`2`x`(_$,S)->_$`cExtensibleLinearAggregate(S)``237625
oconcat!`2`x`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`237714
oconcat!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`237867
oconcat!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)``238004
oconcat!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`238110
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)``238276
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``0
oconcat`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`x`(S,_$)->_$`cLinearAggregate(S)``238626
oconcat`2`x`(S,_$)->_$`cUnaryRecursiveAggregate(S)``238813
oconcat`2`x`(_$,S)->_$`cLinearAggregate(S)``239053
oconcat`2`x`(_$,_$)->_$`cLinearAggregate(S)``239248
oconcat`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``239620
ocond`2`n`(Switch,_$)->_$`dFortranCode``239802
ocond`3`n`(Switch,_$,_$)->_$`dFortranCode``239908
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xFiniteFieldCategory&(S)``0
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cFiniteFieldCategory``240032
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`240245
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``240514
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`240593
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``240769
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``240946
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`241123
oconditionsForIdempotents`1`x`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``241336
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``241550
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``0
oconj`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``241633
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`241797
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`n`(_$)->_$`dPartition``241852
oconjugate`1`x`(List(Integer))->List(Integer)`pPartitionsAndPermutations``0
oconjugate`1`x`(_$)->_$`cComplexCategory(R)``241935
oconjugate`1`x`(_$)->_$`cOctonionCategory(R)``242010
oconjugate`1`x`(_$)->_$`cQuaternionCategory(R)``242162
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(_$,_$)->_$`cGroup``242241
oconjugates`1`x`(Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``0
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``0
ocons`2`x`(S,_$)->_$`dList(S)``242343
ocons`2`x`(S,_$)->_$`dStream(S)``242513
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``0
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``0
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``242664
oconstant?`1`n`(_$)->Boolean`dPattern(R)``0
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``242768
oconstant?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``242866
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``0
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``242938
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``242983
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``243029
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``0
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``0
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``243131
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``0
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``243234
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``243298
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``243385
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``0
oconstant`1`x`(_$)->R`cXFreeAlgebra(vl,R)``243549
oconstructOrdered`1`x`(List(Record(k:S,c:A)))->_$`cIndexedDirectProductCategory(A,S)``0
oconstruct`1`n`(List(List(List(R))))->_$`dThreeDimensionalMatrix(R)``0
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``243614
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``0
oconstruct`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
oconstruct`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xLazyStreamAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconstruct`1`n`(Record(val:V,tower:C))->_$`dSplittingNode(V,C)``0
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``0
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``0
oconstruct`1`x`(List(Record(k:S,c:A)))->_$`cIndexedDirectProductCategory(A,S)``0
oconstruct`1`x`(List(S))->_$`cCollection(S)``243765
oconstruct`1`x`(_$)->Stream(S)`dInfiniteTuple(S)``244088
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``244155
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``0
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``0
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``244200
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``244255
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``244375
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``0
oconstruct`2`x`(_$,_$)->_$`cLieAlgebra(R)``244509
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``0
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``0
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``0
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``0
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``244621
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``244827
ocontains?`2`x`(_$,R)->Boolean`cIntervalCategory(R)``245122
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``0
ocontent`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
ocontent`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
ocontent`1`n`(S)->R`xUnivariateSkewPolynomialCategory&(S,R)``0
ocontent`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`245270
ocontent`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`245360
ocontent`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocontent`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`245445
ocontinue`1`n`(SingleInteger)->_$`dFortranCode``245742
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``0
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``0
ocontinuedFraction`1`x`(Fraction(R))->_$`dContinuedFraction(R)``0
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``245838
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``0
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``0
ocontract`2`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl,nv)``0
ocontract`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``246076
ocontract`4`x`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``246428
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``0
ocontrolPanel`2`x`(_$,String)->Void`dThreeDimensionalViewport``0
oconvergents`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``0
oconvert`1`n`(A)->DoubleFloat`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Float`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->InputForm`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Float)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Integer)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(CS)->Pattern(R)`pComplexPattern(R,S,CS)``246895
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``0
oconvert`1`n`(List(_$))->_$`dPattern(R)``246976
oconvert`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Complex(DoubleFloat)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Complex(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->DoubleFloat`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->DoubleFloat`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xFinite&(S)``0
oconvert`1`n`(S)->InputForm`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)`xFramedAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(SExpression)->_$`dInputForm``247059
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(_$)->Symbol`dSingletonAsOrderedSet``0
oconvert`1`x`(DoubleFloat)->_$`dFloat``0
oconvert`1`x`(Expr)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``247119
oconvert`1`x`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`247176
oconvert`1`x`(Flt)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``247352
oconvert`1`x`(Int)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``247409
oconvert`1`x`(List(R))->_$`cPointCategory(R)``247466
oconvert`1`x`(List(_$))->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``247592
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
oconvert`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`247687
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`247767
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`247847
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
oconvert`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`247927
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(S)->_$`cSegmentCategory(S)``248104
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
oconvert`1`x`(Str)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``248162
oconvert`1`x`(Sym)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``248219
oconvert`1`x`(Symbol)->_$`dRomanNumeral``248276
oconvert`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``248346
oconvert`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``248500
oconvert`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``248649
oconvert`1`x`(_$)->S`cConvertibleTo(S)``248815
oconvert`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``248882
oconvert`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``248992
oconvert`2`x`(OutputForm,Integer)->_$`dScriptFormulaFormat``0
oconvert`2`x`(OutputForm,Integer)->_$`dTexFormat``0
oconvert`3`x`(OutputForm,Integer,OutputForm)->_$`dTexFormat``0
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``0
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``0
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``0
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``0
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``0
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``0
ocoordinatesIfCan`2`n`(Vector(R),_$)->Union(Vector(R),"failed")`dVectorSpaceBasis(R)``249102
ocoordinates`1`n`(S)->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``0
ocoordinates`1`x`(Vector(_$))->Matrix(F)`cFiniteAlgebraicExtensionField(F)``249319
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedAlgebra(R,UP)``249543
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedNonAssociativeAlgebra(R)``249767
ocoordinates`1`x`(_$)->Vector(F)`cFiniteAlgebraicExtensionField(F)``249947
ocoordinates`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``250067
ocoordinates`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``250181
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`(Vector(R),_$)->Vector(R)`dVectorSpaceBasis(R)``250295
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`x`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``0
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``250512
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``250752
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``250972
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``251092
ocopies`2`x`(Integer,String)->String`pDisplayPackage``0
ocoproduct`1`x`(_$)->MxM`cCoalgebra(R,MxM)``251246
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``0
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)->_$`cFiniteLinearAggregate(S)`has(_$,shallowlyMutable)`251319
ocopy_first`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``0
ocopy_slice`4`n`(U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``0
ocopy`1`n`(A)->A`xBinaryTreeCategory&(A,S)``0
ocopy`1`n`(A)->A`xDictionaryOperations&(A,S)``0
ocopy`1`n`(A)->A`xListAggregate&(A,S)``0
ocopy`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopy`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ocopy`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocopy`1`n`(_$)->_$`dPattern(R)``251441
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``251501
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``251559
ocopy`1`x`(_$)->_$`cAggregate``251595
ocopy`1`x`(_$)->_$`cIntegerNumberSystem``251766
ocopy`1`x`(_$)->_$`cThreeSpaceCategory(R)``251814
ocopy`1`x`(_$)->_$`dBasicOperator``251907
ocorrPoly`7`n`(SparseUnivariatePolynomial(P),List(OV),List(R),List(NonNegativeInteger),List(SparseUnivariatePolynomial(P)),Vector(List(SparseUnivariatePolynomial(R))),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``0
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``251959
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``252057
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``0
ocos`1`n`(E)->_$`dFourierComponent(E)``252144
ocos`1`n`(F)->F`pElementaryFunction(R,F)``252210
ocos`1`n`(S)->S`xComplexCategory&(S,R)``0
ocos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``0
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``252271
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``252339
ocos`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``252409
ocos`1`x`(_$)->_$`cTrigonometricFunctionCategory``252476
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``252529
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``252631
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``252720
ocosh`1`n`(S)->S`xComplexCategory&(S,R)``0
ocosh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``0
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``252793
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``252873
ocosh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``252955
ocosh`1`x`(_$)->_$`cHyperbolicFunctionCategory``253024
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``253089
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``253187
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``253291
ocot`1`n`(F)->F`pElementaryFunction(R,F)``253378
ocot`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``0
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``253442
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``253513
ocot`1`x`(_$)->_$`cTrigonometricFunctionCategory``253586
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``253642
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``253744
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``253853
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``253942
ocoth`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``0
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``254018
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``254101
ocoth`1`x`(_$)->_$`cHyperbolicFunctionCategory``254186
ocounit`1`x`(_$)->R`cCoalgebra(R,MxM)``254254
ocountRealRootsMultiple`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`0
ocountRealRoots`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``0
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)`254322
ocount`2`x`(S,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,SetCategory))`254577
ocountable?`1`x`(_$)->Boolean`dCardinalNumber``254767
ocreate3Space`0`x`()->_$`cThreeSpaceCategory(R)``254905
ocreate3Space`1`x`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``0
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``0
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``0
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``0
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``0
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``0
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``0
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`255047
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``0
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``0
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->_$`cFiniteFieldCategory``255318
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``0
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``0
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``0
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``255429
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``0
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``255588
ocrest`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``0
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``255624
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,VarSet,Dpol)``0
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,VarSet,Dpol)``0
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``255658
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,VarSet,Dpol)``0
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``0
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,VarSet,Dpol)``0
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``0
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(_$,_$)->_$`cPointCategory(R)``255692
ocross`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`255844
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``255994
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``256092
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``256186
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)``0
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``256249
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``256319
ocsc`1`x`(_$)->_$`cTrigonometricFunctionCategory``256391
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``256446
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``256548
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``256637
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)``0
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``256712
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``256794
ocsch`1`x`(_$)->_$`cHyperbolicFunctionCategory``256878
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``0
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``0
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``0
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``0
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``256945
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``257038
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``257141
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``257245
ocurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``0
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``0
ocurveColor`1`x`(Float)->_$`dDrawOption``257336
ocurveColor`1`x`(Palette)->_$`dDrawOption``0
ocurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``0
ocurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``0
ocurve`2`x`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``257479
ocurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``0
ocurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``0
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``257582
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``257706
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``257853
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``257989
ocyclePartition`1`x`(_$)->Partition`dPermutation(S)``258129
ocycleRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``258272
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`258501
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``258907
ocycle`1`x`(List(S))->_$`cPermutationCategory(S)``258997
ocycles`1`x`(List(List(S)))->_$`cPermutationCategory(S)``259224
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``259554
ocyclic?`1`x`(_$)->Boolean`dTree(S)``259610
ocyclicCopy`1`x`(_$)->_$`dTree(S)``259671
ocyclicEntries`1`x`(_$)->List(_$)`dTree(S)``259750
ocyclicEqual?`2`x`(_$,_$)->Boolean`dTree(S)``259834
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``0
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``0
ocyclicParents`1`x`(_$)->List(_$)`dTree(S)``259922
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`0
ocyclic`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``0
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``0
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``0
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``0
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``0
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``0
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``0
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``0
odark`1`x`(Color)->_$`dPalette``0
odatalist`1`x`(List(S))->_$`dDataList(S)``260008
oddFact`2`x`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``0
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``0
odebug`1`n`(Boolean)->Boolean`dPlot``0
odebug`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``0
odebug`1`x`(Boolean)->_$`dGuessOption``260067
odecFatal`0`n`()->Void`pUnittestCount``260207
odecXfFatal`0`n`()->Void`pUnittestCount``260318
odecXfPass`0`n`()->Void`pUnittestCount``260369
odec`1`x`(_$)->_$`cIntegerNumberSystem``260545
odecimal`1`x`(Fraction(Integer))->_$`dDecimalExpansion``260588
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``260664
odeclare!`3`n`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``0
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``260790
odeclare!`3`n`(Symbol,FortranType,_$)->FortranType`dSymbolTable``260895
odeclare!`4`n`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``261010
odeclare!`4`n`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``261160
odeclare`1`n`(List(_$))->Symbol`dInputForm``261309
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``0
odecompose`1`x`(UP)->List(UP)`pPolynomialDecomposition(UP,F)``261658
odecompose`1`x`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``0
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``0
odecompose`3`x`(UP,NonNegativeInteger,NonNegativeInteger)->Union(Record(left:UP,right:UP),"failed")`pPolynomialDecomposition(UP,F)``0
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`261700
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``261840
odeepExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``0
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``261880
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``262059
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``0
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``262362
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``262505
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``262646
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``262740
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`262842
odefiningPolynomial`1`x`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``262985
odefiningPolynomial`1`x`(_$)->_$`cExpressionSpace`has(_$,Ring)`263099
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``0
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``0
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``0
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``0
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(S)->Expon`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
odegree`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
odegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(S)->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(U32Vector)->Integer`pU32VectorPolynomialOperations``0
odegree`1`n`(_$)->Integer`dDeRhamComplex(CoefRing,listIndVar)``0
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``0
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``0
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``0
odegree`1`x`(_$)->E`cAbelianMonoidRing(R,E)``263193
odegree`1`x`(_$)->E`cGradedModule(R,E)``263280
odegree`1`x`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``263401
odegree`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``0
odegree`1`x`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``0
odegree`1`x`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``263484
odegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``0
odegree`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``263590
odegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``263696
odegree`1`x`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``263797
odegree`1`x`(_$)->NonNegativeInteger`dPermutation(S)``263913
odegree`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``0
odegree`1`x`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``264000
odegree`1`x`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``264189
odegree`2`n`(A,List(V))->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,V)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(SparseUnivariatePolynomial(P),List(OV))->List(NonNegativeInteger)`pFactoringUtilities(E,OV,R,P)``0
odegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``264313
odegree`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``264452
odegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``264634
odelay`1`x`(()->_$)->_$`dStream(S)``264741
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)``264894
odelete!`2`x`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``264989
odeleteProperty!`2`x`(_$,Symbol)->_$`dBasicOperator``265097
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)``265261
odelete`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``265470
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``0
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``0
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``0
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``265691
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``266014
odenom`1`n`(_$)->R`dLocalAlgebra(A,R)``266075
odenom`1`n`(_$)->R`dLocalize(M,R)``266134
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``0
odenom`1`x`(_$)->S`cQuotientFieldCategory(S)``266193
odenom`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``0
odenom`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`0
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,IntegralDomain)`266266
odenominator`1`x`(_$)->_$`cQuotientFieldCategory(S)``266348
odenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``266438
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``266640
odepth`1`x`(_$)->NonNegativeInteger`cStackAggregate(S)``266702
odequeue!`1`x`(_$)->S`cQueueAggregate(S)``266818
odequeue`0`x`()->_$`cDequeueAggregate(S)``267010
odequeue`1`x`(List(S))->_$`cDequeueAggregate(S)``267087
odequeue`1`x`(List(S))->_$`dDequeue(S)``267268
oderef`1`n`(_$)->S`dReference(S)``267449
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`267504
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``0
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``0
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``0
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``267592
odestruct`1`x`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``267711
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``267792
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``267927
odeterminant`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`268062
odeterminant`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`268175
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``268252
odiagonal?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
odiagonal?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
odiagonal?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``268346
odiagonal?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``268540
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`x`(List(R))->_$`cMatrixCategory(R,Row,Col)``268734
odiagonalMatrix`1`x`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``268839
odiagonalMatrix`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``268944
odiagonalMatrix`1`x`(Vector(R))->_$`dMatrix(R)``269501
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``0
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``269614
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``269723
odiagonals`2`x`(_$,String)->Void`dThreeDimensionalViewport``0
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->_$`cDictionaryOperations(S)``269830
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)``269913
odiffHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteg--er))),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNeg--ativeInteger))),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:(NonNegat--iveInteger)->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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symb--ol,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)``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Ex--pression(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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegat--iveInteger))),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)->L--ist(Integer))`pGuessInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariateP--olynomial(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),A--X:(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)->(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)->(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)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(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)->(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:(NonNegativeI--nteger)->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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMul--tivariatePolynomial(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)),NonNegative--Integer),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomia--l(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,Expressio--n(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``0
odifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xSetAggregate&(A,S)``0
odifference`2`x`(_$,S)->_$`cSetAggregate(S)``270046
odifference`2`x`(_$,_$)->_$`cSetAggregate(S)``270302
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``270715
odifferentiate`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`1`n`(A)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`1`n`(S)->S`xComplexCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialExtension&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialRing&(S)``0
odifferentiate`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`1`n`(S)->S`xFiniteFieldCategory&(S)``0
odifferentiate`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`1`n`(S)->S`xIntegerNumberSystem&(S)``0
odifferentiate`1`n`(S)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`1`x`(_$)->_$`cDifferentialRing``270849
odifferentiate`1`x`(_$)->_$`cDifferentialVariableCategory(S)``271005
odifferentiate`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``271072
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,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``0
odifferentiate`2`n`(_$,(F)->F)->F`dIntegrationResult(F)``271139
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``271241
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`271424
odifferentiate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``271510
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``271612
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``271714
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``271817
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``271919
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``272021
odifferentiate`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``272124
odifferentiate`2`x`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``272232
odifferentiate`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``272342
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``272507
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``272591
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``0
odifferentiate`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``272675
odifferentiate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``272780
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``0
odifferentiate`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``272882
odifferentiate`3`x`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)``273024
odifferentiate`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``273211
odifferentiate`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``273339
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``273500
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``0
odigamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``0
odigamma`1`x`(_$)->_$`cSpecialFunctionCategory``273574
odigit?`1`x`(_$)->Boolean`dCharacter``273697
odigit`0`x`()->_$`dCharacterClass``273794
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``273910
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``273987
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``274064
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`274161
odigits`1`x`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``0
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``0
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``0
odihedral`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``0
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``274258
odilog`1`x`(_$)->_$`cLiouvillianFunctionCategory``274305
odim`1`x`(Color)->_$`dPalette``0
odimensionOfIrreducibleRepresentation`1`x`(List(Integer))->NonNegativeInteger`pIrrRepSymNatPackage``0
odimension`0`n`()->CardinalNumber`xDirectProductCategory&(S,dim,R)``0
odimension`0`n`()->CardinalNumber`xFiniteAlgebraicExtensionField&(S,F)``0
odimension`0`x`()->CardinalNumber`cVectorSpace(S)``274429
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``0
odimension`1`x`(_$)->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
odimension`1`x`(_$)->PositiveInteger`cPointCategory(R)``274503
odimension`2`x`(_$,List(VarSet))->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
odimensionsOf`1`n`(_$)->List(Polynomial(Integer))`dFortranType``274584
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``0
odimensions`5`x`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``0
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``0
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``0
odirectProduct`1`x`(Vector(R))->_$`cDirectProductCategory(dim,R)``274649
odirectSum`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`274793
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``274989
odirection`1`n`(String)->Integer`pToolsForSign(R)``275224
odirectory`1`x`(_$)->String`cFileNameCategory``275265
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(_$)->NonNegativeInteger`cFiniteFieldCategory``275337
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``275466
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``275565
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``275731
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``275875
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``275934
odiscriminant`1`n`(Vector(S))->R`xComplexCategory&(S,R)``0
odiscriminant`1`n`(Vector(S))->R`xFiniteRankAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(S))->R`xFramedAlgebra&(S,R,UP)``0
odiscriminant`1`n`(polR)->R`pPseudoRemainderSequence(R,polR)``275993
odiscriminant`1`x`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``276110
odiscriminant`1`x`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`276210
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`276293
odisplayAsGF`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``0
odisplayAsGF`1`x`(Boolean)->_$`dGuessOption``276417
odisplay`1`n`(String)->Void`dHTMLFormat``0
odisplay`1`x`(String)->Void`dMathMLFormat``0
odisplay`1`x`(_$)->Union((List(OutputForm))->OutputForm,"failed")`dBasicOperator``0
odisplay`1`x`(_$)->Void`dDatabase(S)``276605
odisplay`1`x`(_$)->Void`dIndexCard``276690
odisplay`1`x`(_$)->Void`dScriptFormulaFormat``276784
odisplay`1`x`(_$)->Void`dTexFormat``276964
odisplay`2`x`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``0
odisplay`2`x`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``0
odisplay`2`x`(_$,Integer)->Void`dScriptFormulaFormat``0
odisplay`2`x`(_$,Integer)->Void`dTexFormat``0
odistFact`6`n`(Z,List(SparseUnivariatePolynomial(Z)),Record(contp:Z,factors:List(Record(irr:P,pow:Integer))),List(Z),List(OV),List(Z))->Union(Record(polfac:List(P),correct:Z,corrfact:List(SparseUnivariatePolynomial(Z))),"failed")`pLeadingCoefDetermination(OV,E,Z,P)``0
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`x`(_$,_$)->Integer`cRecursiveAggregate(S)``277148
odistdfact`2`x`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:Integer)))`pDistinctDegreeFactorize(F,FP)``0
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`x`(_$)->_$`cExpressionSpace``277247
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`x`(_$,_$)->_$`cExpressionSpace``277430
odiv`2`n`(_$,_$)->_$`dOutputForm``277665
odivergence`2`n`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``277722
odivide!`4`n`(U32Vector,U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``0
odivideExponents`2`x`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``277885
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``278119
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dFreeMonoid(S)``278458
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dOrderedFreeMonoid(S)``278683
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``278909
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``279052
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``279286
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``0
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``0
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``0
odivisor`1`x`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``279371
odivisor`2`x`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``279442
odivisor`3`x`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``279557
odivisor`5`x`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``279735
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``0
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``0
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``0
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``0
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``0
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``0
odn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``280056
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_poly_integer`8`n`(List(Symbol),PrimitiveArray(Fraction(Polynomial(Integer))),Vector(Integer),NonNegativeInteger,U32Vector,Symbol,Symbol,(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_poly_modular`4`n`(List(Symbol),PrimitiveArray(Fraction(Polynomial(Integer))),Record(degree_bounds:Vector(Integer),pss_sigma:NonNegativeInteger,points:U32Vector,pss_qvar:Symbol,pss_qval:Integer,prime:Integer,pss_kind:Symbol,oldva:Vector(Integer),oldciv:Vector(Integer),pss_m:Integer,sol_cnt:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector),(U32Vector,Integer,Integer)->Vector(U32Vector))->Union(Record(defects:Vector(Integer),cinds:Vector(Integer),rowlen:Integer,offsetdata:Vector--(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed","no_solution")`pInnerModularHermitePade``0
odom`1`x`(_$)->SExpression`dAny``280154
odomainOf`1`x`(_$)->OutputForm`dAny``280280
odominantTerm`1`n`(_$)->Union(Record(%term:Record(%coef:UnivariatePuiseuxSeries(FE,var,cen),%expon:ExponentialOfUnivariatePuiseuxSeries(FE,var,cen),%expTerms:List(Record(k:Fraction(Integer),c:FE))),%type:String),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``0
odot`1`n`(_$)->_$`dOutputForm``280404
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``0
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``280467
odot`2`x`(_$,_$)->R`cDirectProductCategory(dim,R)`has(R,Ring)`280547
odot`2`x`(_$,_$)->R`cVectorCategory(R)`has(R,Ring)`280637
odouble?`1`n`(_$)->Boolean`dFortranScalarType``280791
odoubleComplex?`1`n`(_$)->Boolean`dFortranScalarType``280890
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``0
odoubleFloatFormat`1`x`(String)->String`dDoubleFloat``281010
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``281085
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``281249
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``281439
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``281525
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``0
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``0
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``0
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``0
odrawStyle`2`x`(_$,String)->Void`dThreeDimensionalViewport``0
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``0
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``0
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``0
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``0
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``0
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``0
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``0
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``0
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``0
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``0
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``0
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``0
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``0
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``0
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``0
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``0
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``0
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``0
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``0
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``0
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``281748
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``281806
oduplicates`1`x`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``281887
oeFromBinaryMap`1`x`(NonNegativeInteger)->_$`dCliffordAlgebra(n,K,bLin)``0
oePseudoscalar`0`x`()->_$`dCliffordAlgebra(n,K,bLin)``281974
oe`1`x`(PositiveInteger)->_$`dCliffordAlgebra(n,K,bLin)``0
oee`1`x`(List(PositiveInteger))->_$`dCliffordAlgebra(n,K,bLin)``0
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``0
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)``0
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``0
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)``0
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``281999
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``0
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``0
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``0
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``0
oelement?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
oelementary`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``0
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``0
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``0
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``282168
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``282294
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``0
oelt`1`n`(_$)->S`dReference(S)``282420
oelt`1`x`(_$)->R`dCartesianTensor(minix,dim,R)``282470
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"left")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"right")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xStreamAggregate&(A,S)``0
oelt`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,List(S))->S`xFunctionSpace&(S,R)``0
oelt`2`n`(BasicOperator,List(_$))->_$`dPattern(R)``0
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace&(S,R)``0
oelt`2`n`(Fraction(S),Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(S),R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Index)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`2`n`(S,Integer)->Character`xStringAggregate&(S)``0
oelt`2`n`(S,Key)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`2`n`(S,R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,R)->S`xFullyEvalableOver&(S,R)``0
oelt`2`n`(S,S)->S`xStringAggregate&(S)``0
oelt`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,UniversalSegment(Integer))->S`xStringAggregate&(S)``0
oelt`2`n`(_$,List(_$))->_$`dOutputForm``282531
oelt`2`n`(_$,R)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``282632
oelt`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``0
oelt`2`x`(BasicOperator,_$)->_$`cExpressionSpace``0
oelt`2`x`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`282692
oelt`2`x`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`282829
oelt`2`x`(_$,"count")->NonNegativeInteger`dDataList(S)``282979
oelt`2`x`(_$,"first")->S`cUnaryRecursiveAggregate(S)``283063
oelt`2`x`(_$,"last")->S`cUnaryRecursiveAggregate(S)``283168
oelt`2`x`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``283270
oelt`2`x`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``283367
oelt`2`x`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``283476
oelt`2`x`(_$,"sort")->_$`dDataList(S)``283576
oelt`2`x`(_$,"unique")->_$`dDataList(S)``283697
oelt`2`x`(_$,"value")->S`cRecursiveAggregate(S)``283838
oelt`2`x`(_$,DirectProduct(n,K))->K`dQuadraticForm(n,K)``0
oelt`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``283937
oelt`2`x`(_$,Integer)->R`cFramedNonAssociativeAlgebra(R)``284092
oelt`2`x`(_$,Integer)->R`dCartesianTensor(minix,dim,R)``0
oelt`2`x`(_$,Integer)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``284214
oelt`2`x`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``0
oelt`2`x`(_$,List(Integer))->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``284280
oelt`2`x`(_$,List(OutputForm))->_$`dSymbol``0
oelt`2`x`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``0
oelt`2`x`(_$,QueryEquation)->_$`dDatabase(S)``284370
oelt`2`x`(_$,S)->Index`cEltable(S,Index)``284470
oelt`2`x`(_$,S)->S`cPermutationCategory(S)``284632
oelt`2`x`(_$,Symbol)->Any`dLibrary``284721
oelt`2`x`(_$,Symbol)->DataList(String)`dDatabase(S)``284853
oelt`2`x`(_$,Symbol)->String`dIndexCard``284952
oelt`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``285152
oelt`2`x`(_$,_$)->_$`cStringAggregate``285411
oelt`3`n`(A,Integer,S)->S`xLazyStreamAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
oelt`3`n`(BasicOperator,S,S)->S`xExpressionSpace&(S)``0
oelt`3`n`(BasicOperator,S,S)->S`xFunctionSpace&(S,R)``0
oelt`3`n`(S,F,F)->F`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oelt`3`n`(S,Index,Entry)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`3`n`(S,Integer,Character)->Character`xStringAggregate&(S)``0
oelt`3`n`(S,Integer,Integer)->R`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,Integer)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`x`(BasicOperator,_$,_$)->_$`cExpressionSpace``0
oelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``285628
oelt`3`x`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``286001
oelt`3`x`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``286147
oelt`3`x`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``286272
oelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``286405
oelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``286571
oelt`3`x`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``0
oelt`3`x`(_$,List(Integer),List(Integer))->_$`cMatrixCategory(R,Row,Col)``286743
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace&(S)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`4`n`(S,Integer,Integer,R)->R`xMatrixCategory&(S,R,Row,Col)``0
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``0
oelt`4`x`(BasicOperator,_$,_$,_$)->_$`cExpressionSpace``0
oelt`4`x`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``0
oelt`4`x`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``287109
oelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``287325
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`5`x`(BasicOperator,_$,_$,_$,_$)->_$`cExpressionSpace``0
oelt`5`x`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``0
oeltable?`1`n`(F)->Boolean`pRecurrenceOperator(R,F)``287539
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``287643
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``0
oempty?`1`x`(_$)->Boolean`cAggregate``287767
oempty`0`n`()->_$`dOutputForm``287825
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``287870
oempty`0`n`()->_$`dSplittingNode(V,C)``287930
oempty`0`n`()->_$`dSymbolTable``288040
oempty`0`n`()->_$`dTheSymbolTable``288098
oempty`0`x`()->_$`cAggregate``288157
oempty`1`n`(Integer)->_$`dVectorIntegerReconstructor``288364
oempty`2`n`(Integer,Integer)->_$`dVectorModularReconstructor``288430
oendOfFile?`1`x`(_$)->Boolean`dTextFile``288528
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``288701
oenqueue!`2`x`(S,_$)->S`cQueueAggregate(S)``288796
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``288884
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``289079
oenterPointData`2`x`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``0
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`x`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``289335
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`x`(Entry,_$)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(_$,finiteAggregate),has(Entry,SetCategory))`289437
oenumerate`0`n`()->List(S)`xFinite&(S)``0
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``289543
oenumerate`0`x`()->List(_$)`cFinite``289639
oepilogue`1`x`(_$)->List(String)`dScriptFormulaFormat``0
oepilogue`1`x`(_$)->List(String)`dTexFormat``0
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(_$,_$)->Boolean`cAggregate``289702
oeq`2`x`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``289776
oequality`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``289867
oequation`2`x`(S,S)->_$`dEquation(S)``290171
oequation`2`x`(Symbol,Segment(S))->_$`dSegmentBinding(S)``290222
oequation`2`x`(Symbol,String)->_$`dQueryEquation``290396
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``290452
oerf`1`x`(_$)->_$`cLiouvillianFunctionCategory``290500
oerrorInfo`1`x`(_$)->List(Symbol)`dOpenMathError``290653
oerrorKind`1`x`(_$)->OpenMathErrorKind`dOpenMathError``290726
oerror`1`x`(List(String))->Exit`pErrorFunctions``290806
oerror`1`x`(String)->Exit`pErrorFunctions``290883
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``290958
oerror`2`x`(String,String)->Exit`pErrorFunctions``291128
oescape`0`x`()->_$`dCharacter``291295
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``291436
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``291593
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``291928
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``292235
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`(_$)->NonNegativeInteger`cEuclideanDomain``292419
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`0
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``0
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``0
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``0
oeval_and_solve`5`n`(Integer,List(Symbol),PrimitiveArray(Fraction(Polynomial(Integer))),Record(degree_bounds:Vector(Integer),pss_sigma:NonNegativeInteger,points:U32Vector,pss_qvar:Symbol,pss_qval:Integer,prime:Integer,pss_kind:Symbol,oldva:Vector(Integer),oldciv:Vector(Integer),pss_m:Integer,sol_cnt:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector),(U32Vector,Integer,Integer)->Vector(U32Vector))->Union(Record(defects:Vector(Integer),cinds:Vector(Integer),rowlen:Integer,offsetdata--:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed","no_solution")`pInnerModularHermitePade``0
oeval_at`4`n`(U32Vector,Integer,Integer,Integer)->Integer`pU32VectorPolynomialOperations``0
oeval`1`n`(S)->S`xFunctionSpace&(S,R)``0
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``0
oeval`1`x`(_$)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`292530
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``0
oeval`2`n`(A,Equation(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,Equation(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(A,List(Equation(A)))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,List(Equation(S)))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(S,Equation(R))->S`xEvalable&(S,R)``0
oeval`2`n`(S,Equation(R))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,Equation(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xEvalable&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,List(Equation(S)))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Symbol))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``0
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``292599
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``0
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``0
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``0
oeval`2`x`(MxN,(M,N)->S)->S`cTensorProductProperty(R,M,N,MxN,S)``292747
oeval`2`x`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(^,Coef(Coef,Expon)))`292847
oeval`2`x`(_$,Equation(R))->_$`cEvalable(R)``292967
oeval`2`x`(_$,List(Equation(R)))->_$`cEvalable(R)``293040
oeval`2`x`(_$,List(Symbol))->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`0
oeval`2`x`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`293136
oeval`2`x`(_$,S)->S`cPermutationCategory(S)``293240
oeval`2`x`(_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`0
oeval`2`x`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`293330
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)``0
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``0
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``0
oeval`3`x`(_$,A,B)->_$`cInnerEvalable(A,B)``293415
oeval`3`x`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``0
oeval`3`x`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``0
oeval`3`x`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``293490
oeval`3`x`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``0
oeval`3`x`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``0
oeval`3`x`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``0
oeval`3`x`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``0
oeval`3`x`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``293595
oeval`3`x`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``0
oeval`3`x`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``0
oeval`3`x`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``293760
oeval`4`n`(S,BasicOperator,S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(BasicOperator),List(S),Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`4`x`(_$,BasicOperator,_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`0
oeval`4`x`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`0
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`0
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`0
oeval`4`x`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`0
oeval`4`x`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`0
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluateInverse`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``293881
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``0
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``0
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``0
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``0
oevaluate`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``293932
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`294259
oeven?`1`x`(_$)->Boolean`cIntegerNumberSystem``294328
oeven?`1`x`(_$)->Boolean`dPermutation(S)``294404
oevenInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``0
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``294535
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``294684
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``294833
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
oevenlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``294982
oevery?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oevery?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oevery?`2`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`295362
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``295737
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``295778
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``295819
oexactQuotient!`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`295860
oexactQuotient!`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`295984
oexactQuotient`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`296086
oexactQuotient`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`296312
oexists?`1`x`(_$)->Boolean`cFileNameCategory``296517
oexp1`0`x`()->_$`dDoubleFloat``296587
oexp1`0`x`()->_$`dFloat``296660
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``296720
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``0
oexp`1`n`(F)->F`pElementaryFunction(R,F)``296807
oexp`1`n`(LiePolynomial(VarSet,R))->_$`dLieExponentials(VarSet,R,Order)``0
oexp`1`n`(List(Integer))->_$`dAntiSymm(R,lVar)``0
oexp`1`n`(S)->S`xComplexCategory&(S,R)``0
oexp`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``296873
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``296946
oexp`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``297021
oexp`1`x`(_$)->_$`cElementaryFunctionCategory``297088
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``0
oexp`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`0
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``297151
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``297318
oexpandTrigProducts`1`x`(F)->F`pTranscendentalManipulations(R,F)`AND(has(R,ConvertibleTo(Pattern(R))),has(R,PatternMatchable(R)),has(F,ConvertibleTo(Pattern(R))),has(F,PatternMatchable(R)))`297431
oexpand`1`n`(_$)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``0
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``297873
oexpand`1`x`(IntegrationResult(F))->List(F)`pIntegrationResultToFunction(R,F)``0
oexpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->List(Expression(R))`pIntegrationResultRFToFunction(R)``0
oexpand`1`x`(List(_$))->L`cSegmentExpansionCategory(S,L)``298280
oexpand`1`x`(_$)->L`cSegmentExpansionCategory(S,L)``298530
oexpand`1`x`(_$)->R`dFactored(R)``298717
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``0
oexpextendedint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),Fraction(UP))->Union(Record(answer:Fraction(UP),a0:F),Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``0
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``0
oexpintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``0
oexpintfldpoly`2`n`(LaurentPolynomial(F,UP),(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Union(LaurentPolynomial(F,UP),"failed")`pTranscendentalIntegration(F,UP)``0
oexplicitEntries?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``298930
oexplicitlyEmpty?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``299070
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``299235
oexplimitedint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``0
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``0
oexponent`1`n`(_$)->E`dModuleMonomial(IS,E,ff)``299452
oexponent`1`n`(_$)->Integer`dMachineFloat``0
oexponent`1`n`(_$)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``0
oexponent`1`x`(_$)->Integer`cFloatingPointSystem``299492
oexponent`1`x`(_$)->Integer`dFactored(R)``299592
oexponential1`0`n`()->Float`pRandomFloatDistributions``299737
oexponentialOrder`1`n`(_$)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``299780
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``299892
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``0
oexponents`1`n`(_$)->List(Integer)`dExtAlgBasis``0
oexprToGenUPS`3`n`(FE,Boolean,String)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``0
oexprToUPS`3`n`(FE,Boolean,String)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``0
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``0
oexpr`1`x`(_$)->Expr`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``299935
oexpressIdealMember`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(_$),_$)->Union(List(_$),"failed")`cPrincipalIdealDomain``300058
oexprex`1`n`(OutputForm)->String`dHTMLFormat``0
oexprex`1`x`(OutputForm)->String`dMathMLFormat``0
oexptMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``0
oexptMod`4`x`(U,Integer,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``0
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``300262
oexquo`2`n`(S,R)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xMatrixCategory&(S,R,Row,Col)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xEuclideanDomain&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xField&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(Stream(A),Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``0
oexquo`2`n`(Vector(polR),R)->Vector(polR)`pPseudoRemainderSequence(R,polR)``300323
oexquo`2`n`(_$,_$)->_$`dOutputForm``300430
oexquo`2`x`(_$,R)->Union(_$,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`300492
oexquo`2`x`(_$,R)->Union(_$,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,IntegralDomain)`300632
oexquo`2`x`(_$,R)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`300752
oexquo`2`x`(_$,R)->Union(_$,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`300902
oexquo`2`x`(_$,R)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`301052
oexquo`2`x`(_$,_$)->Union(_$,"failed")`cIntegralDomain``301179
oexquo`2`x`(_$,_$)->Union(_$,"failed")`dNonNegativeInteger``301309
oextendIfCan`2`x`(_$,P)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``301451
oextend`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``302050
oextend`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``302149
oextend`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``302312
oextend`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``302409
oextend`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``302705
oextend`2`x`(_$,Integer)->_$`cLazyStreamAggregate(S)``302807
oextend`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``0
oextend`2`x`(_$,Integer)->_$`dContinuedFraction(R)``303043
oextend`2`x`(_$,List(R))->_$`cPointCategory(R)``303222
oextend`2`x`(_$,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``0
oextend`2`x`(_$,P)->_$`cTriangularSetCategory(R,E,V,P)``303268
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cEuclideanDomain``303591
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`x`(_$,_$,_$)->Union(Record(coef1:_$,coef2:_$),"failed")`cEuclideanDomain``303976
oextendedIntegrate`3`x`(Fraction(Polynomial(F)),Symbol,Fraction(Polynomial(F)))->Union(Record(ratpart:Fraction(Polynomial(F)),coeff:Fraction(Polynomial(F))),"failed")`pRationalFunctionIntegration(F)``0
oextendedResultant`2`n`(_$,_$)->Record(resultant:R,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`304188
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`304410
oextendedSubResultantGcd`2`x`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`304679
oextendedint`2`n`(Fraction(UP),Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pRationalIntegration(F,UP)``0
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``304908
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``304979
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``305120
oextension`1`x`(_$)->String`cFileNameCategory``305191
oexteriorDifferential`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``305258
oexternal?`1`n`(_$)->Boolean`dFortranType``305405
oexternalList`1`n`(_$)->List(Symbol)`dSymbolTable``0
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`x`(_$)->S`cBagAggregate(S)``305491
oextractBottom!`1`x`(_$)->S`cDequeueAggregate(S)``305574
oextractClosed`1`n`(_$)->Boolean`dSubSpace(n,R)``0
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``305711
oextractIndex`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``0
oextractPoint`1`n`(_$)->Point(R)`dSubSpace(n,R)``0
oextractProperty`1`n`(_$)->SubSpaceComponentProperty`dSubSpace(n,R)``0
oextractSplittingLeaf`1`n`(_$)->Union(_$,"failed")`dSplittingTree(V,C)``305798
oextractTop!`1`x`(_$)->S`cDequeueAggregate(S)``305942
oeyeDistance`2`x`(_$,Float)->Void`dThreeDimensionalViewport``0
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`0
ofactorAndSplit`1`x`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`306074
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``0
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``0
ofactorFraction`1`x`(Fraction(Polynomial(R)))->Fraction(Factored(Polynomial(R)))`pRationalFunctionFactorizer(R)``0
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``0
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``0
ofactorList`1`x`(_$)->List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer))`dFactored(R)``0
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``0
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``0
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``0
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``0
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``0
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``0
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``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``0
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`0
ofactorSFBRlcUnit`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``0
ofactorSFBRlcUnit`2`n`(List(VarSet),SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``0
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``0
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``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``0
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``306251
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``306363
ofactorSquareFree`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``0
ofactorSquareFree`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``306507
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``0
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``0
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``0
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``0
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``0
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`0
ofactor`1`n`(OrderedFreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``0
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``306617
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``306714
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``306846
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``306921
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`(SparseUnivariatePolynomial(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``0
ofactor`1`n`(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R))`pGenUFactorize(R)``0
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``0
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``307012
ofactor`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``0
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``0
ofactor`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``307093
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``307181
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``307278
ofactor`1`x`(PR)->Factored(PR)`pComplexFactorization(RR,PR)``307399
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``307485
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``0
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``0
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``0
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``307569
ofactor`1`x`(UPA)->Factored(UPA)`pSAERationalFunctionAlgFactor(UP,SAE,UPA)``307636
ofactor`1`x`(UPA)->Factored(UPA)`pSimpleAlgebraicExtensionAlgFactor(UP,SAE,UPA)``307703
ofactor`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``307770
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``0
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``0
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``0
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``0
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``0
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``0
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``0
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``0
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``0
ofactor`2`x`(U,Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``0
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``0
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``0
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``0
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``0
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``307851
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``307944
ofactorial`1`x`(_$)->_$`cCombinatorialFunctionCategory``308098
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``308263
ofactorials`1`x`(_$)->_$`cCombinatorialOpsCategory``308367
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``0
ofactorials`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``308471
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:Integer))`cFiniteFieldCategory``308599
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``0
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``308685
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`dFreeMonoid(S)``308778
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`dOrderedFreeMonoid(S)``0
ofactors`1`x`(_$)->List(Record(factor:R,exponent:Integer))`dFactored(R)``308871
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``0
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``309171
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``309233
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``309295
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``309342
ofalse`0`x`()->_$`dBoolean``309389
offactor`1`n`(UP)->Factored(UP)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``0
offfg`3`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``0
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``0
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``0
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``0
ofilename`3`x`(String,String,String)->_$`cFileNameCategory``309432
ofill!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
ofill!`2`n`(S,Entry)->S`xIndexedAggregate&(S,Index,Entry)``0
ofill!`2`n`(S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ofill!`2`x`(_$,Entry)->_$`cIndexedAggregate(Index,Entry)`has(_$,shallowlyMutable)`309685
ofill!`2`x`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``309811
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``309876
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``309935
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dStream(S)``310014
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``310188
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dStream(S)``310263
ofindCycle`2`x`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``0
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`x`((S)->Boolean,_$)->Union(S,"failed")`cCollection(S)``310440
ofinite?`1`x`(_$)->Boolean`dCardinalNumber``310584
ofinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``0
ofinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``0
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``310698
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`310785
ofintegrate`3`x`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`310997
ofirstDenom`1`x`(_$)->Factored(R)`dPartialFraction(R)``0
ofirstNumer`1`x`(_$)->R`dPartialFraction(R)``311209
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``0
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``0
ofirst`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ofirst`1`n`(A)->S`xStreamAggregate&(A,S)``0
ofirst`1`n`(S)->Entry`xIndexedAggregate&(S,Index,Entry)``0
ofirst`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
ofirst`1`n`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``0
ofirst`1`n`(_$)->S`dOrderedFreeMonoid(S)``311406
ofirst`1`n`(_$)->VarSet`dMagma(VarSet)``311467
ofirst`1`x`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`311552
ofirst`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``311743
ofirst`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``311853
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xStreamAggregate&(A,S)``0
ofirst`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``312030
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``312147
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``0
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``312235
ofixedPoint`1`x`((A)->A)->A`pMappingPackage1(A)``312358
ofixedPoint`2`x`((List(A))->List(A),Integer)->List(A)`pMappingPackage1(A)``312539
ofixedPoints`1`x`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`312728
oflagFactor`3`x`(R,Integer,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``0
oflatten`1`n`(_$)->_$`dInputForm``312811
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``313051
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``313268
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``313485
oflexibleArray`1`x`(List(S))->_$`dFlexibleArray(S)``0
ofloat?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``313576
ofloat`1`x`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``313664
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->_$`cFloatingPointSystem``313800
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``313858
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`313915
ofloor`1`x`(_$)->_$`cRealNumberSystem``313991
oflush`1`x`(_$)->Void`cFileCategory(Name,S)``314054
ofmecg`4`n`(_$,E,R,_$)->_$`dPolynomialRing(R,E)`AND(has(R,IntegralDomain),has(E,CancellationAbelianMonoid))`314146
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dNewSparseUnivariatePolynomial(R)``0
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dSparseUnivariatePolynomial(R)``314239
ofmecg`4`n`(_$,Partition,R,_$)->_$`dSymmetricPolynomial(R)`AND(has(R,IntegralDomain),has(Partition,CancellationAbelianMonoid))`0
ofmecg`4`x`(_$,NonNegativeInteger,R,_$)->_$`dUnivariatePolynomial(x,R)``314332
oforLoop`2`n`(SegmentBinding(Polynomial(Integer)),_$)->_$`dFortranCode``0
oforLoop`3`n`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),_$)->_$`dFortranCode``0
oformula`1`x`(_$)->List(String)`dScriptFormulaFormat``0
ofortranCarriageReturn`0`n`()->Void`dFortranTemplate``314425
ofortranCharacter`0`n`()->_$`dFortranType``314527
ofortranComplex`0`n`()->_$`dFortranType``314607
ofortranDoubleComplex`0`n`()->_$`dFortranType``314683
ofortranDouble`0`n`()->_$`dFortranType``314772
ofortranInteger`0`n`()->_$`dFortranType``314856
ofortranLiteralLine`1`n`(String)->Void`dFortranTemplate``314932
ofortranLiteral`1`n`(String)->Void`dFortranTemplate``315054
ofortranLogical`0`n`()->_$`dFortranType``315139
ofortranReal`0`n`()->_$`dFortranType``315215
ofortranTypeOf`2`n`(Symbol,_$)->FortranType`dSymbolTable``315285
ofortran`3`n`(Symbol,FortranScalarType,FS)->_$`dSimpleFortranProgram(R,FS)``0
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``0
ofracPart`1`x`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``0
ofractRadix`2`x`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``315365
ofractRagits`1`x`(_$)->Stream(Integer)`dRadixExpansion(bb)``315574
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`315668
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``315775
ofractionPart`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``315856
ofractionPart`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``315938
ofractionPart`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``316024
ofractionPart`1`x`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`316105
ofractionPart`1`x`(_$)->_$`cRealNumberSystem``316232
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``0
ofreeOf?`2`x`(_$,_$)->Boolean`cExpressionSpace``316302
ofresnelC`1`n`(F)->F`pLiouvillianFunction(R,F)``316432
ofresnelC`1`x`(_$)->_$`cLiouvillianFunctionCategory``316496
ofresnelS`1`n`(F)->F`pLiouvillianFunction(R,F)``316602
ofresnelS`1`x`(_$)->_$`cLiouvillianFunctionCategory``316666
ofrobenius`1`n`(_$)->_$`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`316772
ofront`1`x`(_$)->S`cQueueAggregate(S)``316813
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`0
ofrst`1`x`(_$)->S`cLazyStreamAggregate(S)``316963
ofullDisplay`1`x`(_$)->Void`dDatabase(S)``317145
ofullDisplay`1`x`(_$)->Void`dIndexCard``317231
ofullDisplay`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``317323
ofullPartialFraction`1`x`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``0
ofunctionName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``0
ofunctionName`1`x`(Symbol)->_$`dGuessOption``317460
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``0
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``317648
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``0
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``0
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``0
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``317774
ogcdBasis`1`n`(Vector(R))->Vector(R)`pGcdBasis(R)``317809
ogcdDecomposition`1`n`(Vector(Fraction(R)))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``0
ogcdDecomposition`1`n`(Vector(R))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``0
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)`xPolynomialFactorizationExplicit&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xUnivariatePolynomialCategory&(S,R)``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cGcdDomain``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cPolynomialFactorizationExplicit``0
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``317863
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``317965
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``0
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``318075
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``318152
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`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`1`n`(List(SparseUnivariatePolynomial(P)))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``0
ogcd`1`x`(List(_$))->_$`cGcdDomain``318236
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``318325
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`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``0
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`318420
ogcd`2`x`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`318533
ogcd`2`x`(_$,_$)->_$`cGcdDomain``318660
ogcd`2`x`(_$,_$)->_$`dNonNegativeInteger``318747
ogcd`2`x`(_$,_$)->_$`dPositiveInteger``318861
ogcd`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``0
ogcd`3`x`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``0
ogcd`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``0
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``318971
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``319071
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``319174
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
ogenVectorStream2`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``319270
ogenVectorStream`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``319332
ogen_Monte_Carlo_check`6`n`((List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"),List(F),Symbol,Symbol,NonNegativeInteger,(U32Vector,Integer,Integer)->Vector(U32Vector))->(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution")`pModularHermitePadeSolver(F,S)``0
ogeneralCoefficient`4`n`((NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D`pFractionFreeFastGaussian(D,V)``0
ogeneralInfiniteProduct`3`n`(Stream(Coef),Integer,Integer)->Stream(Coef)`pStreamInfiniteProduct(Coef)``0
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``0
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``0
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductPrimeField(Coef,UTS)``0
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``0
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(VF),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussianFractions(D,V,VF)``0
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``0
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateFormalPowerSeries(Coef)``0
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``0
ogeneralPosition`2`x`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
ogeneralSqFr`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``0
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``0
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``319525
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``319626
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)``0
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``0
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)``0
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``319744
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``0
ogenerate`1`x`(()->S)->_$`dStream(S)``319988
ogenerate`2`x`((S)->S,S)->_$`dInfiniteTuple(S)``320140
ogenerate`2`x`((S)->S,S)->_$`dStream(S)``320213
ogenerate`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``0
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`320450
ogenerator`0`x`()->_$`cMonogenicAlgebra(R,UP)``320589
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``0
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``0
ogenerator`1`x`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``0
ogenerator`1`x`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``320654
ogenerators`1`x`(_$)->List(DPoly)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
ogenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``0
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``0
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`0
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`0
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`0
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`0
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`0
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``0
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`0
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`0
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`0
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`0
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`0
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``320758
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``320926
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``321091
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``321295
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``321465
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``321627
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``321855
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``321935
ogeometric`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``322015
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``322056
ogetCode`1`n`(_$)->SExpression`dFortranCode``0
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``322197
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``322341
ogetEq`1`n`(F)->F`pRecurrenceOperator(R,F)``322600
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``0
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``0
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``322721
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``322882
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``0
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``322976
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``0
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``0
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``0
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``323070
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``0
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``0
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``0
ogetType`0`n`()->InputForm`pInputFormFunctions1(R)``323255
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``323328
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``323527
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``0
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``323665
oget_variables`3`n`(List(Fraction(Polynomial(Integer))),Symbol,Symbol)->List(Symbol)`pModularHermitePade``0
ogoodPoint`2`n`(UPUP,UPUP)->F`pChangeOfVariable(F,UP,UPUP)``323803
ogoto`1`n`(SingleInteger)->_$`dFortranCode``323948
ogradeInvolution`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``324023
ograde`1`x`(_$)->NonNegativeInteger`dCliffordAlgebra(n,K,bLin)``0
ogradient`2`n`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``324080
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``324275
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``0
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``0
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``0
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``0
ographImage`0`n`()->_$`dGraphImage``324432
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``0
ographStates`1`n`(_$)->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``0
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``0
ographs`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``0
ogreen`0`x`()->_$`dColor``324617
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``0
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``0
ogroebner?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``0
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``0
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``0
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``0
ogroebnerIdeal`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``0
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``0
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``324694
ogroebner`1`x`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``324818
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``325283
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`x`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``325671
oground?`1`x`(_$)->Boolean`cFunctionSpace(R)``325762
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)``325832
oground`1`x`(_$)->R`cFunctionSpace(R)``325910
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)``0
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)))`0
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)``0
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
oguessAlg`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``0
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)``0
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`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``0
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)))`0
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`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``0
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`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``0
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)))`0
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`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``0
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)``0
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)``0
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)``0
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)))`0
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)``0
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)``0
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)))`0
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)``0
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)``0
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)``0
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)``0
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)))`0
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)``0
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)``0
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)))`0
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)``0
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)``0
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)``0
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)``0
oguess`3`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`3`x`(List(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)``0
oguess`4`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`4`x`(List(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,VarSet,Dpol)``326037
ohadamard`2`n`(UnivariateFormalPowerSeries(Coef),UnivariateFormalPowerSeries(Coef))->UnivariateFormalPowerSeries(Coef)`pUnivariateFormalPowerSeriesFunctions(Coef)``0
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`326072
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`326258
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`326444
ohalfExtendedSubResultantGcd1`2`x`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`326642
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`326861
ohalfExtendedSubResultantGcd2`2`x`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`327066
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``0
ohas?`2`x`(_$,Symbol)->Boolean`dBasicOperator``327292
ohasHi`1`x`(_$)->Boolean`dUniversalSegment(S)``327373
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``0
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``327451
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``0
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``0
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`n`(_$)->Integer`dIndexedString(mn)``0
ohash`1`x`(_$)->Integer`dDoubleFloat``327542
ohash`1`x`(_$)->SingleInteger`cSetCategory``327598
ohash`1`x`(_$)->_$`cIntegerNumberSystem``327657
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``0
ohclf`2`n`(_$,_$)->_$`dFreeMonoid(S)``327714
ohclf`2`n`(_$,_$)->_$`dOrderedFreeMonoid(S)``327892
ohconcat`1`n`(List(_$))->_$`dOutputForm``328060
ohconcat`2`n`(_$,_$)->_$`dOutputForm``328139
ohcrf`2`n`(_$,_$)->_$`dFreeMonoid(S)``328222
ohcrf`2`n`(_$,_$)->_$`dOrderedFreeMonoid(S)``328401
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``0
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``0
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``328570
oheadReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``328882
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``329144
oheadReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``329327
oheadReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``329488
oheadReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``329659
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`329784
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``330082
ohead`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``330198
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``0
oheap`1`x`(List(S))->_$`dHeap(S)``330455
oheight`0`n`()->Integer`dOutputForm``330546
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``330622
oheight`1`n`(_$)->Integer`dOutputForm``330729
oheight`1`n`(_$)->NonNegativeInteger`dKernel(S)``0
oheight`1`x`(_$)->NonNegativeInteger`cDequeueAggregate(S)``330803
oheight`1`x`(_$)->NonNegativeInteger`cExpressionSpace``0
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``0
ohenselFact`2`n`(ZP,Boolean)->Record(contp:Integer,factors:List(Record(irr:ZP,pow:Integer)))`pUnivariateFactorize(ZP)``0
ohensel_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``330925
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``0
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``0
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``330959
ohessian`2`n`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``331040
ohexDigit?`1`x`(_$)->Boolean`dCharacter``331234
ohexDigit`0`x`()->_$`dCharacterClass``331368
ohex`1`x`(Fraction(Integer))->_$`dHexadecimalExpansion``331490
ohi`1`x`(_$)->S`cSegmentCategory(S)``331566
ohighCommonTerms`2`x`(_$,_$)->_$`cFreeAbelianMonoidCategory(S,E)`has(E,OrderedAbelianMonoid)`331668
ohigh`1`x`(_$)->S`cSegmentCategory(S)``331920
ohitherPlane`2`x`(_$,Float)->Void`dThreeDimensionalViewport``0
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``332012
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``332102
ohomogeneous`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``0
ohomogeneous`1`x`(Union(PositiveInteger,Boolean))->_$`dGuessOption``332212
ohorizConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``332571
ohspace`1`n`(Integer)->_$`dOutputForm``332805
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``332868
ohue`1`n`(Point(R))->R`pPointPackage(R)``0
ohue`1`x`(_$)->Color`dPalette``0
ohue`1`x`(_$)->Integer`dColor``0
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``332969
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``333105
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``0
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``0
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``333241
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``0
oid`1`x`(A)->A`pMappingPackage1(A)``333457
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``333489
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``0
oideal`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
oideal`1`x`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``0
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``0
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``0
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``0
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``0
oidentityMatrix`1`n`(NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`0
oidentitySquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``0
oidentity`0`x`()->_$`dDenavitHartenbergMatrix(R)``333787
oiexactQuo`2`n`(R,R)->R`xPolynomialSetCategory&(S,R,E,VarSet,P)``333841
oiexactQuo`2`n`(R,R)->R`xRecursivePolynomialCategory&(S,R,E,V)``333904
oiexactQuo`2`x`(R,R)->R`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`333967
oiexactQuo`2`x`(R,R)->R`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`334030
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``0
oiiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``334093
oiiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``334152
oiiBesselI`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``334211
oiiBesselJ`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``334271
oiiBesselK`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``334331
oiiBesselY`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``334391
oiiBeta`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``334451
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``334509
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``334567
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``334623
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``334679
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``334736
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``334792
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``334849
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``334905
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``334962
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``335018
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``335075
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``335131
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``335188
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``335244
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``335301
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``335359
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``335414
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``335470
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``335525
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``335581
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``335636
oiidigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``335692
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``335752
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``335810
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``335867
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``335922
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``335979
oiim2`1`n`(R)->Expression(Integer)`pGuessPolynomialFunctions(R)``0
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``336034
oiipolygamma`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``336091
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``336153
oiiretractVar`1`n`(Kernel(Expression(Integer)))->Polynomial(R)`pGuessPolynomialFunctions(R)``0
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``336209
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``336264
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``336320
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``336375
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``336431
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``336487
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``336543
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``336598
oimagE`1`x`(_$)->R`cOctonionCategory(R)``336654
oimagI`1`x`(_$)->R`cOctonionCategory(R)``336736
oimagI`1`x`(_$)->R`cQuaternionCategory(R)``336818
oimagJ`1`x`(_$)->R`cOctonionCategory(R)``336902
oimagJ`1`x`(_$)->R`cQuaternionCategory(R)``336984
oimagK`1`x`(_$)->R`cOctonionCategory(R)``337068
oimagK`1`x`(_$)->R`cQuaternionCategory(R)``337150
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``0
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``337234
oimag`1`x`(_$)->R`cComplexCategory(R)``337333
oimagi`1`x`(_$)->R`cOctonionCategory(R)``337391
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->_$`cComplexCategory(R)``337463
oimagj`1`x`(_$)->R`cOctonionCategory(R)``337521
oimagk`1`x`(_$)->R`cOctonionCategory(R)``337593
oimplies`2`x`(_$,_$)->_$`dBoolean``337665
oin?`2`x`(_$,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
oinGroundField?`1`x`(_$)->Boolean`cExtensionField(F)``337760
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``0
oinR?`1`n`(_$)->Boolean`dPattern(R)``0
oinRadical?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
oincFail`2`n`(String,List(OutputForm))->Void`pUnittestCount``337867
oincFatal`1`n`(String)->Void`pUnittestCount``337987
oincLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``338092
oincPass`0`n`()->Void`pUnittestCount``338209
oincXfFail`0`n`()->Void`pUnittestCount``338287
oincXfFatal`1`n`(String)->Void`pUnittestCount``338378
oincXfLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``338429
oincXfPass`2`n`(String,List(OutputForm))->Void`pUnittestCount``338489
oinc`1`x`(_$)->_$`cIntegerNumberSystem``338642
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``0
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``0
oincr`1`x`(_$)->Integer`cSegmentCategory(S)``338685
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`338840
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``338970
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``0
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``339163
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,_$)->Boolean`cIndexedAggregate(Index,Entry)``339345
oindexName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``0
oindexName`1`x`(Symbol)->_$`dGuessOption``339426
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(PositiveInteger)->S`xDirectProductCategory&(S,dim,R)``0
oindex`1`n`(PositiveInteger)->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oindex`1`n`(_$)->IS`dModuleMonomial(IS,E,ff)``339565
oindex`1`x`(PositiveInteger)->_$`cFinite``339602
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``0
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``0
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``0
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`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``339849
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``0
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``0
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``339946
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``340042
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``0
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``0
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``0
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``0
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``0
oinfRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinfRittWu?`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``0
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``0
oinfRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``340138
oinfRittWu?`2`x`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``340335
oinf`1`x`(_$)->R`cIntervalCategory(R)``340491
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``0
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``0
oinfinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``0
oinfinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``0
oinfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``0
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``340553
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``340698
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``340843
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``340988
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``341101
oinfinity`0`x`()->_$`dOnePointCompletion(R)``341144
oinfix?`1`n`(_$)->Boolean`dOutputForm``341187
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``341297
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``341440
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``341528
oinit`0`n`()->A`xQuotientFieldCategory&(A,S)``0
oinit`0`n`()->S`xFiniteFieldCategory&(S)``0
oinit`0`n`()->S`xIntegerNumberSystem&(S)``0
oinit`0`n`()->S`xUnivariatePolynomialCategory&(S,R)``0
oinit`0`x`()->_$`cStepThrough``341584
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``341645
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``341870
oinitializeGroupForWordProblem`1`x`(_$)->Void`dPermutationGroup(S)``342022
oinitializeGroupForWordProblem`3`x`(_$,Integer,Integer)->Void`dPermutationGroup(S)``0
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``342460
oinitiallyReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``342783
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``343055
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``343330
oinitiallyReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``343562
oinitiallyReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``343743
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``343927
oinnerEigenvectors`3`n`(Matrix(K),Par,(SparseUnivariatePolynomial(K))->Factored(SparseUnivariatePolynomial(K)))->List(Record(outval:F,outmult:Integer,outvect:List(Matrix(F))))`pInnerNumericEigenPackage(K,F,Par)``0
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``0
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``0
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``0
oinnerint`5`x`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``0
oinput`1`x`(_$)->Union((List(InputForm))->InputForm,"failed")`dBasicOperator``0
oinput`2`x`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``0
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``0
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``344045
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,_$)->_$`cBagAggregate(S)``344172
oinsert!`2`x`(S,_$)->_$`dBinarySearchTree(S)``344242
oinsert!`2`x`(S,_$)->_$`dBinaryTournament(S)``344340
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`x`(S,_$,Integer)->_$`cExtensibleLinearAggregate(S)``344437
oinsert!`3`x`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``344537
oinsert!`3`x`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``344646
oinsertBottom!`2`x`(S,_$)->S`cDequeueAggregate(S)``344756
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``344885
oinsertRoot!`2`x`(S,_$)->_$`dBinarySearchTree(S)``345051
oinsertTop!`2`x`(S,_$)->S`cDequeueAggregate(S)``345151
oinsert`3`n`(A,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`x`(S,_$,Integer)->_$`cLinearAggregate(S)``345386
oinsert`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)``345605
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`345860
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``345903
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(_$)->S`cBagAggregate(S)``345953
ointBasis`1`n`(List(List(Vector(R))))->_$`dVectorSpaceBasis(R)``346018
ointBasis`1`n`(List(_$))->_$`dVectorSpaceBasis(R)``346104
ointBasis`2`n`(List(Vector(R)),List(Vector(R)))->_$`dVectorSpaceBasis(R)``346189
ointBasis`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``346333
ointChoose`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(upol:SparseUnivariatePolynomial(R),Lval:List(R),Lfact:List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),ctpol:R)`pMultivariateSquareFree(E,OV,R,P)``0
ointPatternMatch`4`n`(F,Symbol,(F,Symbol)->IntegrationResult(F),(F,Symbol)->Union(Record(special:F,integrand:F),"failed"))->IntegrationResult(F)`pIntegrationTools(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,GcdDomain),has(R,PatternMatchable(Integer)),has(F,ElementaryFunctionCategory),has(F,LiouvillianFunctionCategory),has(F,RetractableTo(Symbol)))`0
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``0
oint`1`n`(_$)->_$`dOutputForm``346424
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``0
oint`2`n`(_$,_$)->_$`dOutputForm``346510
oint`3`n`(_$,_$,_$)->_$`dOutputForm``346632
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``0
ointeger?`1`n`(_$)->Boolean`dFortranScalarType``346794
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``346886
ointeger?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``346980
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``0
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``347063
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``347167
ointeger`1`x`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``347261
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``0
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``347385
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`x`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``347459
ointegral?`2`x`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``347551
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``347646
ointegralBasisAtInfinity`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``347733
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``0
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``0
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``0
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``0
ointegralBasis`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``347819
ointegralCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``347891
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``348098
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``0
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``0
ointegralRepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``348439
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``348607
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``348702
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``0
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`348833
ointegral`2`x`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``348928
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ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``0
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`349151
ointegrate`1`x`(_$)->_$`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`349334
ointegrate`1`x`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`349523
ointegrate`1`x`(_$)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`349640
ointegrate`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`349837
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`0
ointegrate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`0
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`350026
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`350215
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`350404
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`350597
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`350786
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`350975
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``0
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``0
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``0
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``0
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`0
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`351168
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`351300
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`351432
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`351564
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`351696
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`351828
ointegrate`2`x`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`351960
ointegrate`2`x`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`352123
ointegrate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`352352
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`352541
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``0
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``0
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``0
ointegrate`3`x`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`352695
ointensity`2`x`(_$,Float)->Void`dThreeDimensionalViewport``0
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``0
ointernalAugment`2`x`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``352849
ointernalAugment`2`x`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``353013
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``0
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``0
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)``0
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``0
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``0
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``0
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``0
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``0
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``0
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``353123
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``353409
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``0
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``0
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``0
ointerpolate`3`n`(List(D),List(D),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``0
ointerpolate`3`n`(List(Fraction(D)),List(Fraction(D)),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``0
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``0
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpretString`1`n`(String)->Any`pTemplateUtilities``353690
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``353801
ointerpret`1`n`(_$)->Any`dInputForm``353925
ointersect`1`x`(List(_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
ointersect`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ointersect`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``353988
ointersect`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``354093
ointersect`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``354270
ointersect`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``354351
ointersect`2`x`(_$,_$)->_$`cSetAggregate(S)``354430
ointersect`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
ointerval`1`x`(Fraction(Integer))->_$`cIntervalCategory(R)``354699
ointerval`1`x`(R)->_$`cIntervalCategory(R)``354765
ointerval`2`x`(R,R)->_$`cIntervalCategory(R)``354831
ointoMatrix`2`x`(List(P),List(OV))->Record(mat:Matrix(Fraction(P)),vec:Vector(Fraction(P)))`pLinearSystemPolynomialPackage(R,E,OV,P)``0
oinv`1`n`(S)->S`xComplexCategory&(S,R)``0
oinv`1`n`(S)->S`xField&(S)``0
oinv`1`n`(S)->S`xOctonionCategory&(S,R)``0
oinv`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oinv`1`n`(Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``0
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``355015
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``355050
oinv`1`x`(_$)->_$`cDivisionRing``355085
oinv`1`x`(_$)->_$`cGroup``355178
oinv`1`x`(_$)->_$`cOctonionCategory(R)`has(R,Field)`355232
oinv`1`x`(_$)->_$`dEquation(S)`has(S,Field)`355299
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``0
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``0
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``0
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``0
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``0
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``355368
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``355530
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`355750
oinverse`1`x`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`355903
oinverse`1`x`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`356065
oinverse`1`x`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,Field)`356197
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`356359
oinvertible?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``356434
oinvertible?`2`x`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``356555
oinvertibleElseSplit?`2`x`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``356774
oinvertibleSet`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``356970
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(_$,_$)->_$`cIntegerNumberSystem``357157
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``0
oiomode`1`x`(_$)->String`cFileCategory(Name,S)``0
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``357248
oiprint`1`n`(String)->Void`pInternalPrintPackage``357303
oirootDep`1`x`(Kernel(F))->Union(vec:Vector(Fraction(Integer)),func:F,fail:Boolean)`pElementaryFunctionStructurePackage(R,F)``0
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`0
oirreducible?`1`x`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``357398
oirreducibleFactor`2`x`(R,Integer)->_$`dFactored(R)``357482
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`0
oirreducibleRepresentation`1`x`(List(Integer))->List(Matrix(Integer))`pIrrRepSymNatPackage``0
oirreducibleRepresentation`2`x`(List(Integer),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``0
oirreducibleRepresentation`2`x`(List(Integer),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``0
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(_$,BasicOperator)->Boolean`dKernel(S)``0
ois?`2`n`(_$,Symbol)->Boolean`dKernel(S)``357644
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``357723
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``357846
ois?`2`x`(_$,BasicOperator)->Boolean`cExpressionSpace``0
ois?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``0
ois?`2`x`(_$,Symbol)->Boolean`dBasicOperator``357938
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`0
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`0
oisBasis?`1`n`(List(Vector(R)))->Boolean`dVectorSpaceBasis(R)``358009
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``358121
oisExpt`1`n`(S)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`1`n`(S)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisExpt`1`n`(_$)->Union(Record(val:_$,exponent:NonNegativeInteger),"failed")`dPattern(R)``0
oisExpt`1`x`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`0
oisExpt`1`x`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)``358228
oisExpt`2`n`(S,BasicOperator)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`n`(S,Symbol)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`x`(_$,BasicOperator)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`0
oisExpt`2`x`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`0
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``358341
oisMult`1`n`(S)->Union(Record(coef:Integer,var:Kernel(S)),"failed")`xFunctionSpace&(S,R)``0
oisMult`1`x`(_$)->Union(Record(coef:Integer,var:Kernel(_$)),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`0
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``0
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``0
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``358449
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``358579
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`358720
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``358819
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``358973
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``359081
oisPower`1`x`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`0
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``0
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``359177
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``359297
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`359425
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``359523
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``359820
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``0
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``360003
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``360188
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``360396
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``0
ojacobian`2`n`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``360604
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``0
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``0
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``360809
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``361101
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``361393
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``361747
okaratsubaDivide`2`n`(S,NonNegativeInteger)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
okaratsubaDivide`2`x`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``362101
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``362198
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``362366
okernel`1`n`(Symbol)->_$`dKernel(S)``362722
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
okernel`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``0
okernel`2`x`(BasicOperator,_$)->_$`cExpressionSpace``0
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`dKernel(S)``0
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``0
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``362783
okey`1`n`(_$)->Integer`dGraphImage``0
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``0
okey`1`x`(_$)->Integer`dThreeDimensionalViewport``0
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``362855
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``0
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``0
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``0
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``0
okroneckerDelta`0`x`()->_$`dCartesianTensor(minix,dim,R)``362922
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``0
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``363116
olabel`2`n`(_$,_$)->_$`dOutputForm``363225
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
olagrange`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``363300
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``0
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``0
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``0
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``363454
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
olambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``363633
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``0
olaplacian`2`n`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``363999
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`364150
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``364320
olastSubResultantElseSplit`3`x`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``364482
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``364839
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`365026
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``365275
olastSubResultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`365410
olastSubResultant`3`x`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``365688
olast`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
olast`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
olast`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
olast`1`x`(_$)->S`cDoublyLinkedAggregate(S)``366388
olast`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``366503
olast`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``366670
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)``366846
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(_$)->String`cSetCategory``367030
olaurentIfCan`1`x`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``367114
olaurentRep`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``367269
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``367403
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
olaurent`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``367586
olaurent`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
olaurent`2`x`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``0
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
olazy?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``367719
olazyEvaluate`1`x`(_$)->_$`cLazyStreamAggregate(S)``367887
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`0
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`0
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`0
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``368164
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``368352
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)``368562
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)``368768
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``369007
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``369286
olazyPseudoDivide`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`2`n`(_$,_$)->Record(coef:R,gap:NonNegativeInteger,quotient:_$,remainder:_$)`dNewSparseUnivariatePolynomial(R)``0
olazyPseudoDivide`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``369638
olazyPseudoDivide`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`3`x`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``369914
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``370242
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``370417
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``0
olazyResidueClass`2`x`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``370700
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`0
olc`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``371022
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(_$))->_$`cGcdDomain``371060
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(_$,_$)->_$`cGcdDomain``371153
olcm`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``0
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``371238
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``371412
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``371515
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``0
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``0
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``371613
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``371719
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``371769
oleadingCoefficient`1`x`(_$)->A`cIndexedDirectProductCategory(A,S)``371816
oleadingCoefficient`1`x`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``371999
oleadingCoefficient`1`x`(_$)->R`cAbelianMonoidRing(R,E)``372096
oleadingCoefficient`1`x`(_$)->R`cFreeModuleCategory(R,S)``372189
oleadingCoefficient`1`x`(_$)->R`cMonogenicLinearOperator(R)``372295
oleadingCoefficient`1`x`(_$)->R`cMonoidRingCategory(R,M)`has(M,OrderedSet)`372411
oleadingCoefficient`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)``372579
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``372695
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``372886
oleadingIdeal`1`x`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``372933
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``0
oleadingMonomial`1`x`(_$)->M`cMonoidRingCategory(R,M)`has(M,OrderedSet)`372977
oleadingMonomial`1`x`(_$)->S`cFreeModuleCategory(R,S)``373136
oleadingMonomial`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``373249
oleadingMonomial`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``373340
oleadingSupport`1`x`(_$)->S`cIndexedDirectProductCategory(A,S)``373423
oleadingTerm`1`x`(_$)->Record(k:S,c:A)`cIndexedDirectProductCategory(A,S)``0
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(_$)->Boolean`dSubSpace(n,R)``0
oleaf?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``373592
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``0
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``373653
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``0
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`x`(_$)->List(S)`cRecursiveAggregate(S)``373984
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``374118
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``374342
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``374566
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``374724
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``375092
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``375460
oleftDivide`2`n`(P,P)->Record(quotient:P,remainder:P)`pNonCommutativeOperatorDivision(P,F)``375769
oleftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`375975
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`0
oleftExactQuotient`2`n`(P,P)->Union(P,"failed")`pNonCommutativeOperatorDivision(P,F)``376181
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`376307
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`376433
oleftFactorIfCan`2`n`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``376547
oleftFactor`2`x`(UP,UP)->Union(UP,"failed")`pPolynomialDecomposition(UP,F)``376786
oleftGcd`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``376832
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`377070
oleftLcm`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``377308
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`377508
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`377709
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``377943
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``378071
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`378169
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`378226
oleftPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``378283
oleftPower`2`x`(_$,PositiveInteger)->_$`cMonad``378473
oleftQuotient`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``378663
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`378855
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`0
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``379047
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`379286
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``379525
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`379687
oleftRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``379907
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``380096
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``380268
oleftRemainder`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``380475
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`380668
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``0
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``380861
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``381143
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(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``381425
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``381637
oleftTrim`2`x`(_$,Character)->_$`cStringAggregate``381730
oleftTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``381900
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`382081
oleftUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``382206
oleftUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`382329
oleftZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`382453
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``382510
oleft`1`n`(_$)->_$`dMagma(VarSet)``382666
oleft`1`n`(_$)->_$`dOutputForm``382817
oleft`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``382884
oleft`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``382958
oleft`2`n`(_$,Integer)->_$`dOutputForm``383004
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`0
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``0
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``0
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``383091
olength`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``0
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``0
olength`1`n`(_$)->NonNegativeInteger`dTuple(S)``383202
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``0
olength`1`n`(_$)->PositiveInteger`dMagma(VarSet)``383275
olength`1`x`(_$)->NonNegativeInteger`cQueueAggregate(S)``383358
olength`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`383471
olength`1`x`(_$)->_$`cIntegerNumberSystem``383574
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``383628
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``383662
oless?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``383766
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``383844
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``0
oleviCivitaSymbol`0`x`()->_$`dCartesianTensor(minix,dim,R)``384048
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``0
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``0
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``0
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``384277
olexico`2`n`(_$,_$)->Boolean`dMagma(VarSet)``384486
olexico`2`n`(_$,_$)->Boolean`dOrderedFreeMonoid(S)``384828
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``0
olfextlimint`4`n`(F,Symbol,Kernel(F),List(Kernel(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``0
olfinfieldint`2`n`(F,Symbol)->Union(F,"failed")`pElementaryIntegration(R,F)``0
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``0
olflimitedint`3`n`(F,Symbol,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pElementaryIntegration(R,F)``0
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``0
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``384997
olhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``385052
olhs`1`x`(_$)->S`dEquation(S)``385122
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``385196
oli`1`x`(_$)->_$`cLiouvillianFunctionCategory``385256
olibrary`1`x`(FileName)->_$`dLibrary``385385
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``385439
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``385646
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``385853
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``386177
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``386501
olift`1`n`(_$)->Rep`dModMonic(R,Rep)``386593
olift`1`x`(_$)->UP`cMonogenicAlgebra(R,UP)``386629
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``0
olift`7`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),SparseUnivariatePolynomial(R),P,List(OV),List(NonNegativeInteger),List(R))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateSquareFree(E,OV,R,P)``0
olifting1`9`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(P)),List(R),List(P),List(List(Record(expt:NonNegativeInteger,pcoef:P))),List(NonNegativeInteger),Vector(List(SparseUnivariatePolynomial(R))),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``0
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``0
olight`1`x`(Color)->_$`dPalette``0
olighting`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``0
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``0
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``0
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)``0
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)``0
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)``0
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``0
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``0
olimitedIntegrate`3`x`(Fraction(Polynomial(F)),Symbol,List(Fraction(Polynomial(F))))->Union(Record(mainpart:Fraction(Polynomial(F)),limitedlogs:List(Record(coeff:Fraction(Polynomial(F)),logand:Fraction(Polynomial(F))))),"failed")`pRationalFunctionIntegration(F)``0
olimitedint`2`n`(Fraction(UP),List(Fraction(UP)))->Union(Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),"failed")`pRationalIntegration(F,UP)``0
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``0
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``0
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``0
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``0
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`386731
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`387407
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)`387560
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`387798
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``0
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``387953
olinearExtend`2`n`((List(B))->M2,TensorPower(n,R,B,M1))->M2`pTensorPowerFunctions2(n,R,B,M1,M2)``0
olinearExtend`2`x`((S)->M2,M1)->M2`pFreeModuleFunctions2(R,S,M1,M2)``388185
olinearExtend`2`x`((S)->R,_$)->R`cFreeModuleCategory(R,S)`has(R,CommutativeRing)`0
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
olinearSearch`2`n`(S,(S)->Boolean)->Union(S,"failed")`pSortedCache(S)``388324
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``0
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``0
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``388563
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``388723
olinears`2`x`(U,Integer)->U`pModularDistinctDegreeFactorizer(U)``0
olinkToFortran`4`n`(Symbol,List(Symbol),TheSymbolTable,List(Symbol))->SExpression`pFortranPackage``0
olinkToFortran`4`n`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol))->SExpression`pFortranPackage``0
olinkToFortran`5`n`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol),Symbol)->SExpression`pFortranPackage``0
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``0
olist?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``388892
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``0
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``0
olistConjugateBases`3`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),NonNegativeInteger,NonNegativeInteger)->List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))`pChineseRemainderToolsForIntegralBases(K,R,UP)``0
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``0
olistOfLists`1`n`(S)->List(List(R))`xMatrixCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(_$)->List(List(R))`cMatrixCategory(R,Row,Col)``388973
olistOfLists`1`x`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``389062
olistOfLists`1`x`(_$)->List(List(S))`dTableau(S)``0
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``0
olistOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``0
olistOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``0
olistOfTerms`1`x`(_$)->List(Record(k:S,c:A))`cIndexedDirectProductCategory(A,S)``0
olistRepresentation`1`x`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``0
olistYoungTableaus`1`x`(List(Integer))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``0
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->_$`cListAggregate(S)``389151
olist`1`x`(_$)->List(_$)`dSymbol``389215
olistexp`1`n`(BP)->List(NonNegativeInteger)`pNPCoef(BP,E,OV,R,P)``0
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``389319
olllip`1`x`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``0
olllp`1`x`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``0
ollprop`1`x`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``0
olo`1`x`(_$)->S`cSegmentCategory(S)``389388
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``389475
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``389676
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``0
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``0
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``0
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``0
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``389877
olocalUnquote`2`n`(F,List(Symbol))->F`pApplyRules(Base,R,F)``389937
olog10`0`x`()->_$`dFloat``389993
olog10`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``390061
olog10`1`x`(_$)->_$`dDoubleFloat``390139
olog10`1`x`(_$)->_$`dFloat``390212
olog2`0`x`()->_$`dFloat``390283
olog2`1`x`(_$)->_$`dDoubleFloat``390369
olog2`1`x`(_$)->_$`dFloat``390440
ologDependenceQ`2`n`(List(Fraction(Integer)),Fraction(Integer))->Union(Vector(Fraction(Integer)),"failed")`pMultiplicativeDependence``0
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``0
ologGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``390509
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``0
ologGamma`1`x`(Float)->Float`pFloatSpecialFunctions``390574
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``390639
olog`1`n`(F)->F`pElementaryFunction(R,F)``390726
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``0
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)`pStreamTranscendentalFunctions(Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``390790
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``390861
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``0
olog`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``390934
olog`1`x`(_$)->_$`cElementaryFunctionCategory``391001
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``0
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`0
ological?`1`n`(_$)->Boolean`dFortranScalarType``391244
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``0
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(S)->PositiveInteger`xDirectProductCategory&(S,dim,R)``0
olookup`1`n`(S)->PositiveInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``0
olookup`1`x`(_$)->PositiveInteger`cFinite``391336
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``0
olow`1`x`(_$)->S`cSegmentCategory(S)``391424
olowerCase!`1`x`(_$)->_$`cStringAggregate``391513
olowerCase?`1`x`(_$)->Boolean`dCharacter``391617
olowerCase`0`x`()->_$`dCharacterClass``391728
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(_$)->_$`cStringAggregate``391852
olowerCase`1`x`(_$)->_$`dCharacter``391933
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``0
olp`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``0
olprop`1`x`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``0
olquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``392104
olquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``392188
olquo`2`n`(_$,_$)->Union(_$,"failed")`dOrderedFreeMonoid(S)``392382
olquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``0
olquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``0
olquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``392580
olquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``392663
olyndon?`1`n`(OrderedFreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``0
olyndonIfCan`1`n`(OrderedFreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``0
olyndon`1`n`(OrderedFreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``0
omagnitude`1`n`(S)->R`xVectorCategory&(S,R)``0
omagnitude`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`392759
omainCharacterization`1`x`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``0
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``392862
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`393199
omainDefiningPolynomial`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``0
omainForm`1`x`(_$)->Union(OutputForm,"failed")`cRealClosedField``0
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``0
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``393432
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``393692
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`394016
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`394262
omainValue`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``0
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``394511
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``394665
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``0
omainVariable`1`x`(_$)->Union(VarSet,"failed")`cPolynomialCategory(R,E,VarSet)``394824
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``395024
omakeCos`2`x`(E,R)->_$`dFourierSeries(R,E)``395184
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``0
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``0
omakeFEq`6`n`(BasicOperator,Symbol,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``395272
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer))))->Factored(UP)`pGaloisGroupFactorizer(UP)``0
omakeFR`2`x`(R,List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer)))->_$`dFactored(R)``0
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``0
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``0
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``0
omakeGraphImage`1`n`(_$)->_$`dGraphImage``395591
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``0
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``0
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``0
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``0
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``0
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``0
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``0
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``0
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``0
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``0
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``0
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``0
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``0
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``0
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``0
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``0
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``0
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``0
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``0
omakeRec`5`n`(BasicOperator,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``396030
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``396540
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``396697
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``396782
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``0
omakeSin`2`x`(E,R)->_$`dFourierSeries(R,E)``396909
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``0
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``396997
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``397132
omakeVariable`1`n`(A)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`x`(S)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)``397199
omakeVariable`1`x`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`397514
omakeVariable`2`x`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``397842
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``397984
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``0
omakeViewport3D`1`x`(_$)->_$`dThreeDimensionalViewport``398206
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``0
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``0
omakeYoungTableau`2`x`(List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``0
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``0
omakeprod`2`n`(A,B)->_$`dProduct(A,B)``398432
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``398476
omantissa`1`n`(_$)->Integer`dMachineFloat``0
omantissa`1`x`(_$)->Integer`cFloatingPointSystem``398566
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`xStreamAggregate&(A,S)``0
omap!`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``398631
omap!`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)`has(_$,shallowlyMutable)`398724
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``0
omapCoef`2`x`((E)->E,_$)->_$`cFreeAbelianMonoidCategory(S,E)``398838
omapDown!`3`x`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``398924
omapDown!`3`x`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``399363
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``399967
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``400054
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`dFreeMonoid(S)``0
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``400141
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``400269
omapGen`2`n`((S)->S,_$)->_$`dFreeMonoid(S)``400354
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``400439
omapGen`2`x`((S)->S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``400524
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``0
omapSolve`2`n`(UP,(F)->F)->Record(solns:List(F),maps:List(Record(arg:F,res:F)))`pPolynomialSolveByFormulas(UP,F)``0
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``0
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``0
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``0
omapUp!`2`x`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``400609
omapUp!`3`x`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``400933
omap`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Expression(CoefRing))->Expression(CoefRing),_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``0
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``0
omap`2`n`((R)->R,S)->S`xAbelianMonoidRing&(S,R,E)``0
omap`2`n`((R)->R,S)->S`xComplexCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xOctonionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xQuaternionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`2`n`((R)->R,_$)->_$`dAntiSymm(R,lVar)``401415
omap`2`n`((R)->R,_$)->_$`dXPolynomialRing(R,E)``401509
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``401607
omap`2`n`((R1)->R2,A1)->A2`pFiniteAbelianMonoidRingFunctions2(E,R1,A1,R2,A2)``401736
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``401860
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((S)->S,A)->A`xListAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xQuotientFieldCategory&(A,S)``0
omap`2`n`((S)->S,Kernel(S))->S`xExpressionSpace&(S)``0
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``401956
omap`2`x`((A)->A,_$)->_$`cIndexedDirectProductCategory(A,S)``401995
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``0
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``0
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``0
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``0
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``0
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``402144
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``0
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``402298
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``0
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``0
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``0
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``402411
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``402450
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``402489
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``402528
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``0
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``0
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``0
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``402649
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``0
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)``0
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``0
omap`2`x`((R)->R,_$)->_$`cAbelianMonoidRing(R,E)``402754
omap`2`x`((R)->R,_$)->_$`cFullyEvalableOver(R)``402865
omap`2`x`((R)->R,_$)->_$`cMonoidRingCategory(R,M)``402960
omap`2`x`((R)->R,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``403071
omap`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``403179
omap`2`x`((R)->R,_$)->_$`cXFreeAlgebra(vl,R)``403282
omap`2`x`((R)->R,_$)->_$`dFactored(R)``403380
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``403656
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``403755
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``403948
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``404030
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``404117
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``404391
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``404570
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``0
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``0
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``404660
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``404699
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``404988
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``405112
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``405259
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`405351
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``405580
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``405649
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``405727
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``405862
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`405997
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``406087
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``406200
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``406282
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``406323
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``406364
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``406459
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``406554
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``406593
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``406688
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``406850
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``407011
omap`2`x`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``407109
omap`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)``407332
omap`2`x`((S)->S,_$)->_$`dEquation(S)``407544
omap`2`x`((S)->S,_$)->_$`dInfiniteTuple(S)``407647
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``0
omap`2`x`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``0
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)``407729
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)``407870
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``0
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``0
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``0
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``0
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``0
omap`3`x`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``408180
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``0
omap`3`x`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``408426
omap`3`x`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``408574
omap`3`x`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``408692
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)``0
omap`4`x`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``409003
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`0
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(_$)->_$`cIntegerNumberSystem``409347
omatch?`3`x`(_$,_$,Character)->Boolean`cStringAggregate``409414
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``0
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``0
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``0
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``0
omatch`3`x`(_$,_$,Character)->NonNegativeInteger`cStringAggregate``409603
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``0
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``0
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``0
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``0
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``0
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``0
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``0
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``0
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``0
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``0
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``0
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``0
omatrixConcat3D`3`n`(Symbol,_$,_$)->_$`dThreeDimensionalMatrix(R)``410139
omatrixDimensions`1`n`(_$)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``0
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``0
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``410239
omatrix`1`x`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``410349
omatrix`1`x`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``410495
omatrix`1`x`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``0
omaxColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``410641
omaxColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``410733
omaxDegree`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``0
omaxDegree`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``410823
omaxDerivative`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``0
omaxDerivative`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``411170
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`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`411337
omaxLevel`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``0
omaxLevel`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``411588
omaxMixedDegree`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``0
omaxMixedDegree`1`x`(NonNegativeInteger)->_$`dGuessOption``411788
omaxPoints3D`0`n`()->Integer`dPlot3D``0
omaxPoints`0`n`()->Integer`dPlot``0
omaxPoints`0`x`()->Integer`pGraphicsDefaults``0
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``0
omaxPower`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``0
omaxPower`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``412127
omaxRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``412428
omaxRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``412517
omaxShift`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``0
omaxShift`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``412604
omaxSubst`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``0
omaxSubst`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``412743
omax`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`413103
omax`0`x`()->_$`dSingleInteger``413166
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`413222
omax`1`x`(_$)->S`cPriorityQueueAggregate(S)``413294
omax`2`n`(S,S)->S`xOrderedSet&(S)``0
omax`2`x`(_$,_$)->_$`cOrderedSet``413371
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``413465
omaxdeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXPolynomialsCat(vl,R)``0
omaximumExponent`0`n`()->Integer`dMachineFloat``0
omaximumExponent`1`n`(Integer)->Integer`dMachineFloat``0
omaxint`0`n`()->PositiveInteger`dMachineInteger``413623
omaxint`1`n`(PositiveInteger)->PositiveInteger`dMachineInteger``413687
omaxrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``0
omaxrow`6`n`(List(S),List(List(List(S))),List(List(S)),List(List(List(S))),List(List(List(S))),List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``0
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``413761
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`0
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`0
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`0
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`0
omedialSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``0
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``0
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``0
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
omember?`2`n`(S,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
omember?`2`n`(S,A)->Boolean`xHomogeneousAggregate&(A,S)``0
omember?`2`n`(Vector(R),_$)->Boolean`dVectorSpaceBasis(R)``414000
omember?`2`x`(Permutation(S),_$)->Boolean`dPermutationGroup(S)``0
omember?`2`x`(S,_$)->Boolean`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,SetCategory))`414097
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`414373
omembers`1`x`(_$)->List(S)`dMultiset(S)``414569
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`414699
omerge!`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``414790
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,_$,_$)->_$`cExtensibleLinearAggregate(S)``414918
omerge2`7`n`(Integer,List(Integer),List(Integer),Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->Record(offsetdata:Vector(Integer),expdata:SortedExponentVector)`pInnerModularHermitePade``0
omergeDifference`2`x`(List(S),List(S))->List(S)`pMergeThing(S)``415019
omergeFactors`2`n`(Factored(R),Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``0
omerge_exponents`5`n`(Integer,Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->List(List(Integer))`pInnerModularHermitePade``0
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``415203
omerge`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``0
omerge`2`n`(A,A)->A`xFiniteLinearAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`2`n`(_$,_$)->_$`dSubSpace(n,R)``415282
omerge`2`x`(_$,_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`415373
omerge`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``415532
omerge`2`x`(_$,_$)->_$`cThreeSpaceCategory(R)``415662
omerge`3`n`((S,S)->Boolean,A,A)->A`xFiniteLinearAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`3`x`((S,S)->Boolean,_$,_$)->_$`cFiniteLinearAggregate(S)``415839
omesh?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``0
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``0
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``0
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``0
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``0
omeshPar2Var`7`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``0
omesh`1`x`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``0
omesh`1`x`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``0
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``0
omesh`4`x`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``0
omesh`4`x`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``0
omesh`4`x`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``0
omesh`4`x`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``0
omessagePrint`1`n`(String)->Void`dOutputForm``416470
omessage`1`n`(String)->_$`dOutputForm``416610
omiddle`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``416695
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``0
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``0
omightHaveRoots`2`x`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``0
ominColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``416767
ominColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``416860
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``416951
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`416989
ominPoints3D`0`n`()->Integer`dPlot3D``0
ominPoints`0`n`()->Integer`dPlot``0
ominPoints`0`x`()->Integer`pGraphicsDefaults``0
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``0
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``0
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``0
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`0
ominPoly`1`x`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`0
ominRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``417205
ominRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``417295
omin`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`417383
omin`0`x`()->_$`dSingleInteger``417446
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`417503
omin`1`x`(_$)->S`cOrderedMultisetAggregate(S)``417576
omin`2`n`(S,S)->S`xOrderedSet&(S)``0
omin`2`x`(_$,_$)->_$`cOrderedSet``417660
omindegTerm`1`x`(_$)->Record(k:OrderedFreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``0
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``417754
omindeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXFreeAlgebra(vl,R)``0
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ominimalPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ominimalPolynomial`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``0
ominimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``417912
ominimalPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`418033
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`418112
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``418271
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(_$)->E`cFiniteAbelianMonoidRing(R,E)``418347
ominimumDegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``0
ominimumDegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``418470
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`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``418618
ominimumDegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``418776
ominimumExponent`0`n`()->Integer`dMachineFloat``0
ominimumExponent`1`n`(Integer)->Integer`dMachineFloat``0
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``418948
ominordet`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`419072
ominordet`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`419196
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)``0
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``0
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``0
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``0
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``419284
ominusInfinity`0`x`()->_$`dOrderedCompletion(R)``419337
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``419386
omirror`1`n`(_$)->_$`dMagma(VarSet)``419484
omirror`1`n`(_$)->_$`dOrderedFreeMonoid(S)``419756
omirror`1`x`(_$)->_$`cFreeLieAlgebra(VarSet,R)``419819
omirror`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``419933
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``0
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``0
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``0
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`0
omkcomm`1`x`(Integer)->_$`dCommutator``0
omkcomm`2`x`(_$,_$)->_$`dCommutator``420033
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``420077
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``0
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``0
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``0
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``0
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``0
omodpeval`4`n`(Polynomial(Integer),List(Symbol),List(Integer),Integer)->Integer`pInnerModularHermitePade``0
omodularFactor`1`n`(UP)->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``0
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``420122
omodularGcd`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``420256
omoduleSum`2`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pIntegralBasisTools(R,UP,F)``0
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFramedModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`420372
omodule`1`n`(Vector(A))->_$`dFramedModule(R,F,UP,A,ibasis)``0
omoduloP`1`x`(_$)->Integer`cPAdicIntegerCategory(p)``0
omodulus`0`n`()->Rep`dModMonic(R,Rep)``420448
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``0
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``420486
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``420525
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``420564
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``0
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``420603
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``420683
omonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``420786
omonicCompleteDecompose`1`n`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``420999
omonicDecomposeIfCan`1`n`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``0
omonicDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``421206
omonicDivide`3`n`(S,S,VarSet)->Record(quotient:S,remainder:S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonicDivide`3`x`(_$,_$,VarSet)->Record(quotient:_$,remainder:_$)`cPolynomialCategory(R,E,VarSet)``421396
omonicLeftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`421645
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`0
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``421880
omonicModulo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``422111
omonicRightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`422263
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`0
omonicRightFactorIfCan`2`n`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``0
omonomRDE`3`n`(Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),c:Fraction(UP),t:UP),"failed")`pTranscendentalRischDE(F,UP)``0
omonomRDEsys`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),h:UP,c1:Fraction(UP),c2:Fraction(UP),t:UP),"failed")`pTranscendentalRischDESystem(F,UP)``0
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``0
omonom`2`x`(OrderedFreeMonoid(vl),R)->_$`cXFreeAlgebra(vl,R)``0
omonom`2`x`(S,R)->_$`cFreeModuleCategory(R,S)``422500
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``0
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``0
omonomial?`1`x`(_$)->Boolean`cAbelianMonoidRing(R,E)``422606
omonomial?`1`x`(_$)->Boolean`cFreeModuleCategory(R,S)``422673
omonomial?`1`x`(_$)->Boolean`cMonoidRingCategory(R,M)``422760
omonomial?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``422827
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``422900
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``0
omonomial`2`n`(Coef,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`2`n`(R,E)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Integer)->_$`dLaurentPolynomial(R,UP)``0
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``0
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(A,S)->_$`cIndexedDirectProductCategory(A,S)``423064
omonomial`2`x`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,bLin)``0
omonomial`2`x`(R,E)->_$`cAbelianMonoidRing(R,E)``423174
omonomial`2`x`(R,M)->_$`cMonoidRingCategory(R,M)``423271
omonomial`2`x`(R,NonNegativeInteger)->_$`cMonogenicLinearOperator(R)``0
omonomial`2`x`(R,NonNegativeInteger)->_$`cUnivariateSkewPolynomialCategory(R)``423358
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(Expon))->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`x`(_$,List(Var),List(Expon))->_$`cPowerSeriesCategory(Coef,Expon,Var)``423488
omonomial`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``0
omonomial`3`x`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``423588
omonomial`3`x`(_$,Var,Expon)->_$`cPowerSeriesCategory(Coef,Expon,Var)``423666
omonomial`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``0
omonomial`3`x`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``423723
omonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`x`(_$)->List(_$)`cFreeModuleCategory(R,S)``423887
omonomials`1`x`(_$)->List(_$)`cMonoidRingCategory(R,M)``423972
omonomials`1`x`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``424054
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`424236
omore?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``424445
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``424526
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``424833
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``425140
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``425221
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``425303
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``0
omove`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``0
omovedPoints`1`x`(_$)->Set(S)`dPermutation(S)``425431
omovedPoints`1`x`(_$)->Set(S)`dPermutationGroup(S)``0
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``0
omr`1`n`(List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``0
omul_by_binomial`3`n`(U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``0
omul_by_binomial`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``0
omul_by_scalar`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``0
omul`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``0
omulmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``425521
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``425603
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``425652
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``425708
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``425928
omultiple?`1`n`(_$)->Boolean`dPattern(R)``0
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``426045
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``0
omultiplicative?`2`n`(_$,PositiveInteger)->Boolean`dDirichletRing(Coef)``0
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``0
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``0
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``0
omultiplyExponents`2`x`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``426351
omultiplyExponents`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``426486
omultiplyExponents`2`x`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``426656
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``0
omultiset`0`x`()->_$`dMultiset(S)``426783
omultiset`1`x`(List(S))->_$`dMultiset(S)``426864
omultiset`1`x`(S)->_$`dMultiset(S)``426940
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``0
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``0
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``427010
omultivariate`2`x`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``427144
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``0
omultivector`1`x`(List(K))->_$`dCliffordAlgebra(n,K,bLin)``427278
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``0
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``0
omvar`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
omvar`1`n`(S)->V`xTriangularSetCategory&(S,R,E,V,P)``0
omvar`1`x`(_$)->V`cRecursivePolynomialCategory(R,E,V)``427356
omvar`1`x`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``427579
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``0
onaiveBeckermannLabahn0`8`n`(Vector(U32Vector),Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->Void`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahn1`7`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahn1`7`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahnMultipoint`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahnMultipoint`4`n`(Vector(U32Vector),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahn`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahn`4`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``0
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``427739
oname`1`n`(_$)->Symbol`dKernel(S)``427780
oname`1`n`(_$)->Symbol`dRuleCalled(f)``427842
oname`1`x`(_$)->Name`cFileCategory(Name,S)``427883
oname`1`x`(_$)->String`cFileNameCategory``427953
oname`1`x`(_$)->Symbol`dBasicOperator``428015
oname`1`x`(_$)->_$`dSymbol``428069
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(_$,_$)->_$`cBitAggregate``428129
onand`2`x`(_$,_$)->_$`dBoolean``428236
onary?`1`x`(_$)->Boolean`dBasicOperator``428317
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``428381
oncols`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``428458
onegative?`1`n`(S)->Boolean`xOrderedRing&(S)``0
onegative?`1`x`(_$)->Boolean`cIntervalCategory(R)``428533
onegative?`1`x`(_$)->Boolean`cOrderedRing``428664
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``428739
onewLine`0`x`()->String`pDisplayPackage``0
onewReduc`0`n`()->Void`pFunctionSpaceReduce(R,F)``428841
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``428880
onewTypeLists`1`n`(_$)->SExpression`dSymbolTable``0
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``428987
onew`0`n`()->_$`dPatternMatchResult(R,S)``429041
onew`0`n`()->_$`dSubSpace(n,R)``429095
onew`0`n`()->_$`dSubSpaceComponentProperty``429129
onew`0`x`()->_$`dScriptFormulaFormat``429163
onew`0`x`()->_$`dSymbol``429338
onew`0`x`()->_$`dTexFormat``429406
onew`1`x`(_$)->_$`dSymbol``429577
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``429654
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``429727
onew`3`x`(String,String,String)->_$`cFileNameCategory``429823
onewton`1`n`(List(F))->SparseUnivariatePolynomial(F)`pNewtonInterpolation(F)``430139
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``0
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``0
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``430497
onextLatticePermutation`3`x`(List(Integer),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``0
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``0
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``0
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``0
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``0
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``430584
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``0
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``0
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``0
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``0
onext`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``430668
onextsousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``430894
onextsubResultant2`4`x`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`431162
onilFactor`2`x`(R,Integer)->_$`dFactored(R)``431414
onil`0`x`()->_$`dList(S)``431568
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`0
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``431612
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``431711
onode?`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
onode?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,SetCategory)`431954
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``0
onode`3`x`(_$,S,_$)->_$`cBinaryTreeCategory(S)``432085
onodes`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
onodes`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``432228
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``432309
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`0
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``432349
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``432450
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(_$,_$)->_$`cBitAggregate``432551
onor`2`x`(_$,_$)->_$`dBoolean``432656
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``0
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``432735
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``0
onorm`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`1`n`(S)->R`xComplexCategory&(S,R)``0
onorm`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
onorm`1`n`(S)->R`xOctonionCategory&(S,R)``0
onorm`1`n`(S)->R`xQuaternionCategory&(S,R)``0
onorm`1`n`(S)->S`xRealNumberSystem&(S)``0
onorm`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``432778
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``432909
onorm`1`n`(_$)->F`dFramedModule(R,F,UP,A,ibasis)``432971
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``433034
onorm`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``433152
onorm`1`x`(_$)->R`cComplexCategory(R)``433294
onorm`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``433355
onorm`1`x`(_$)->R`cOctonionCategory(R)``433470
onorm`1`x`(_$)->R`cQuaternionCategory(R)``433580
onorm`1`x`(_$)->_$`cRealNumberSystem``433676
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``0
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``0
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``0
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``0
onorm`2`n`(_$,Kernel(_$))->_$`dInnerAlgebraicNumber``433733
onorm`2`n`(_$,List(Kernel(_$)))->_$`dInnerAlgebraicNumber``433869
onorm`2`x`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``0
onorm`2`x`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``0
onorm`2`x`(_$,Kernel(_$))->_$`dAlgebraicNumber``434006
onorm`2`x`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``434142
onorm`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`434279
onormal01`0`n`()->Float`pRandomFloatDistributions``434580
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``0
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``0
onormal?`1`x`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`434619
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``0
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``0
onormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`434902
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``0
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,VarSet,Dpol)`has(Dom,Field)`435350
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``0
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``435525
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``0
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``435567
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``435639
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``435771
onormalize`1`x`(_$)->_$`dFloat``435891
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``0
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``0
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``435960
onormalized?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``436181
onormalized?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``436405
onormalized?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``436574
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``436758
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``437089
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`437291
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(_$)->_$`dOutputForm``437493
onot`1`x`(_$)->_$`cBitAggregate``437549
onot`1`x`(_$)->_$`dBoolean``437635
onot`1`x`(_$)->_$`dSingleInteger``437689
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``0
onpcoef`3`n`(SparseUnivariatePolynomial(P),List(BP),List(P))->Record(deter:List(SparseUnivariatePolynomial(P)),dterm:List(List(Record(expt:NonNegativeInteger,pcoef:P))),nfacts:List(BP),nlead:List(P))`pNPCoef(BP,E,OV,R,P)``0
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``437783
onrows`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``437857
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:Integer)))`pMultivariateSquareFree(E,OV,R,P)``0
onthCoef`2`x`(_$,Integer)->E`cFreeAbelianMonoidCategory(S,E)``437929
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``438013
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``438099
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`dFreeMonoid(S)``438185
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`dOrderedFreeMonoid(S)``0
onthExponent`2`x`(_$,Integer)->Integer`dFactored(R)``438271
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``438487
onthFactor`2`n`(_$,Integer)->S`dFreeMonoid(S)``438572
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``438657
onthFactor`2`n`(_$,Integer)->S`dOrderedFreeMonoid(S)``438742
onthFactor`2`x`(_$,Integer)->R`dFactored(R)``438834
onthFactor`2`x`(_$,Integer)->S`cFreeAbelianMonoidCategory(S,E)``439115
onthFlag`2`x`(_$,Integer)->Union("nil","sqfr","irred","prime")`dFactored(R)``0
onthFractionalTerm`2`x`(_$,Integer)->_$`dPartialFraction(R)``439196
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``0
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``0
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(_$,Integer)->_$`cRadicalCategory``439365
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``0
onull?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``439435
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,shallowlyMutable)`439516
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,shallowlyMutable)`439602
onullSpace`1`n`(Matrix(R))->_$`dVectorSpaceBasis(R)``439688
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`439902
onullSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`439988
onullSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`440074
onull`1`x`(_$)->Boolean`dList(S)``440161
onullary?`1`x`(_$)->Boolean`dBasicOperator``440225
onullary`1`x`(A)->()->A`pMappingPackage1(A)``440283
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``440367
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`440500
onullity`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`440633
onullity`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`440766
onumFunEvals3D`0`n`()->Integer`dPlot3D``0
onumFunEvals`0`n`()->Integer`dPlot``0
onumber?`1`x`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`440899
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``0
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``440954
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``441046
onumberOfComponents`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``0
onumberOfComposites`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``0
onumberOfComputedEntries`1`x`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``441138
onumberOfCycles`1`x`(_$)->NonNegativeInteger`dPermutation(S)``441317
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``0
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``0
onumberOfFactors`1`x`(_$)->NonNegativeInteger`dFactored(R)``441419
onumberOfFractionalTerms`1`x`(_$)->Integer`dPartialFraction(R)``441505
onumberOfHues`0`x`()->PositiveInteger`dColor``0
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``0
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``0
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFiniteAbelianMonoidRing(R,E)``441646
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFreeModuleCategory(R,S)``441744
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cMonoidRingCategory(R,M)``441824
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``0
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``0
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumer`1`n`(_$)->A`dLocalAlgebra(A,R)``441935
onumer`1`n`(_$)->M`dLocalize(M,R)``441992
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``0
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``0
onumer`1`x`(_$)->S`cQuotientFieldCategory(S)``442049
onumer`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``0
onumer`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`0
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace&(S,R)``0
onumerator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,Ring)`442120
onumerator`1`x`(_$)->_$`cQuotientFieldCategory(S)``442198
onumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``442284
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`442482
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`442607
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`442732
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`442857
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`443017
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`443176
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`443335
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`443402
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`443469
onumeric`1`x`(S)->Float`pNumeric(S)``443536
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`443603
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`443705
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`443806
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``443907
oobj`1`x`(_$)->None`dAny``444009
oobjectOf`1`x`(_$)->OutputForm`dAny``444161
oobjects`1`x`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``0
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``0
oocton`2`x`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``0
oocton`8`x`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``444273
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`444376
oodd?`1`x`(_$)->Boolean`cIntegerNumberSystem``444443
oodd?`1`x`(_$)->Boolean`dPermutation(S)``444517
ooddInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``0
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``444650
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``444798
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``444946
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``0
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
ooddlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``445094
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``445470
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``445559
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``0
oomError`2`x`(OpenMathErrorKind,List(Symbol))->_$`dOpenMathError``445683
oone?`1`n`(S)->Boolean`xMonadWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xMonoid&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`x`(_$)->Boolean`cMonadWithUnit``445750
oone?`1`x`(_$)->Boolean`cMonoid``445810
oone?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
ooneDimensionalArray`1`x`(List(S))->_$`dOneDimensionalArray(S)``445865
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``445952
oone`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``0
oone`1`x`(Boolean)->_$`dGuessOption``446051
oop`1`n`(P)->_$`dOppositeMonogenicLinearOperator(P,R)``446176
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``0
oopen`1`x`(Name)->_$`cFileCategory(Name,S)``446249
oopen`2`x`(Name,String)->_$`cFileCategory(Name,S)``0
ooperation`1`n`(_$)->Union(Null:"null",Assignment:"assignment",Conditional:"conditional",Return:"return",Block:"block",Comment:"comment",Call:"call",For:"for",While:"while",Repeat:"repeat",Goto:"goto",Continue:"continue",ArrayAssignment:"arrayAssignment",Save:"save",Stop:"stop",Common:"common",Print:"print")`dFortranCode``0
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``0
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``0
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``0
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``0
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``0
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``0
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``0
ooperator`1`n`(_$)->BasicOperator`dKernel(S)``0
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace``0
ooperator`1`x`(Symbol)->_$`dBasicOperator``446313
ooperator`2`x`(Symbol,NonNegativeInteger)->_$`dBasicOperator``446393
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`x`(_$)->List(BasicOperator)`cExpressionSpace``0
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``0
ooption?`2`x`(List(_$),Symbol)->Boolean`dDrawOption``446470
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``446671
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``446859
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dGuessOption``447002
ooptional?`1`n`(_$)->Boolean`dPattern(R)``0
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``447069
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``0
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``0
ooptions`1`x`(_$)->List(DrawOption)`dThreeDimensionalViewport``0
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``0
ooptions`2`x`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``0
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``447243
oor`2`n`(_$,_$)->_$`dOutputForm``447359
oor`2`x`(_$,_$)->_$`cBitAggregate``447415
oor`2`x`(_$,_$)->_$`dBoolean``447515
oorbit`2`x`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``0
oorbit`2`x`(_$,S)->Set(S)`cPermutationCategory(S)``447609
oorbit`2`x`(_$,S)->Set(S)`dPermutationGroup(S)``0
oorbit`2`x`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``0
oorbits`1`x`(_$)->Set(Set(S))`dPermutationGroup(S)``0
oord`1`x`(_$)->Integer`dCharacter``447798
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)``447939
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``0
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``0
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``0
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``0
oorder`1`x`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``447976
oorder`1`x`(_$)->Integer`cFloatingPointSystem``448132
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``448252
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``448458
oorder`1`x`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``0
oorder`1`x`(_$)->NonNegativeInteger`dPermutation(S)``448575
oorder`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``0
oorder`1`x`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``448662
oorder`1`x`(_$)->PositiveInteger`cFiniteFieldCategory``448785
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``0
oorder`2`x`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``448921
oorder`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``449040
oorder`2`x`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``0
oorder`2`x`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`449165
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``0
oorder`3`x`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``0
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``0
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`449332
ooutlineRender`2`x`(_$,String)->Void`dThreeDimensionalViewport``0
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``0
ooutputAsFortran`1`n`(FileName)->Void`pFortranPackage``449476
ooutputAsFortran`1`n`(_$)->Void`cFortranProgramCategory``449526
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``449628
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``449798
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``449872
ooutputAsScript`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``450023
ooutputAsScript`1`x`(OutputForm)->Void`pSpecialOutputPackage``450211
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``450363
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``450524
ooutputFixed`0`x`()->Void`dFloat``450648
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``0
ooutputFloating`0`x`()->Void`dFloat``450763
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``0
ooutputForm`1`n`(DoubleFloat)->_$`dOutputForm``450946
ooutputForm`1`n`(Integer)->_$`dOutputForm``451018
ooutputForm`1`n`(String)->_$`dOutputForm``451084
ooutputForm`1`n`(Symbol)->_$`dOutputForm``451149
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``451214
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``451396
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``0
ooutputGeneral`0`x`()->Void`dFloat``451518
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``0
ooutputList`1`x`(List(Any))->Void`pOutputPackage``451709
ooutputSpacing`1`x`(NonNegativeInteger)->Void`dFloat``0
ooutput`1`x`(OutputForm)->Void`pOutputPackage``451919
ooutput`1`x`(String)->Void`pOutputPackage``452067
ooutput`2`x`(Integer,_$)->Void`dStream(S)`has(S,SetCategory)`0
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``452210
oover`2`n`(_$,_$)->_$`dOutputForm``452387
ooverbar`1`n`(_$)->_$`dOutputForm``452481
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``452549
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`dFreeMonoid(S)``452644
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`dOrderedFreeMonoid(S)``452853
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``0
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``0
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``0
opack!`1`x`(_$)->_$`dKeyedAccessFile(Entry)``453068
opack!`1`x`(_$)->_$`dLibrary``453154
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``453240
opackageCall`2`n`(Symbol,List(InputForm))->InputForm`pInputFormFunctions1(R)``453329
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``0
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``0
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``0
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``0
opadicFraction`1`x`(_$)->_$`dPartialFraction(R)``453455
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``0
opair?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``453720
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))`0
opalgLODE0`7`n`(L,F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`0
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))`0
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)``0
opalgRDE0`8`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``0
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``0
opalgextint0`6`n`(F,Kernel(F),Kernel(F),F,F,SparseUnivariatePolynomial(F))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``0
opalgextint0`7`n`(F,Kernel(F),Kernel(F),F,Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``0
opalgextint`4`n`(F,Kernel(F),Kernel(F),F)->Union(Record(ratpart:F,coeff:F),"failed")`pPureAlgebraicIntegration(R,F,L)``0
opalginfieldint`2`n`(R,(UP)->UP)->Union(R,"failed")`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``453799
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``0
opalgint0`6`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``0
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``0
opalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``0
opalglimint0`6`n`(F,Kernel(F),Kernel(F),List(F),F,SparseUnivariatePolynomial(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pGenusZeroIntegration(R,F,L)``0
opalglimint0`7`n`(F,Kernel(F),Kernel(F),List(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pGenusZeroIntegration(R,F,L)``0
opalglimint`4`n`(F,Kernel(F),Kernel(F),List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pPureAlgebraicIntegration(R,F,L)``0
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``0
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``0
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``0
oparametersOf`1`n`(_$)->List(Symbol)`dSymbolTable``0
oparametric?`1`n`(_$)->Boolean`dPlot``0
oparen`1`n`(List(S))->S`xExpressionSpace&(S)``0
oparen`1`n`(List(_$))->_$`dOutputForm``454001
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`dOutputForm``454129
oparen`1`x`(List(_$))->_$`cExpressionSpace``454204
oparen`1`x`(_$)->_$`cExpressionSpace``454499
oparent`1`n`(_$)->_$`dSubSpace(n,R)``454722
oparse`1`n`(String)->_$`dInputForm``454905
opartialDenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``454987
opartialFraction`2`x`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``0
opartialFraction`2`x`(R,Factored(R))->_$`dPartialFraction(R)``0
opartialFraction`3`x`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``0
opartialNumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``455230
opartialQuotients`1`x`(_$)->Stream(R)`dContinuedFraction(R)``455467
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F)``455714
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``0
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``0
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``0
opartition`1`n`(List(Integer))->_$`dPartition``0
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``455764
opartitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``0
opartitions`2`x`(Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``0
opartitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``0
oparts`1`n`(A)->List(S)`xOneDimensionalArrayAggregate&(A,S)``0
oparts`1`n`(A)->List(S)`xRecursiveAggregate&(A,S)``0
oparts`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oparts`1`n`(S)->List(R)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oparts`1`n`(S)->List(Record(key:Key,entry:Entry))`xTableAggregate&(S,Key,Entry)``0
oparts`1`x`(_$)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``455945
oparts`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`456030
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``0
opastel`1`x`(Color)->_$`dPalette``0
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)``0
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)``0
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`0
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``0
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``456224
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``0
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``0
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`0
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``0
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)``456410
opatternMatch`3`x`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``456631
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)``0
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)``0
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``0
opattern`1`x`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``0
opdct`1`n`(_$)->Integer`dPartition``0
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``0
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``0
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``0
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``456940
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``457068
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``0
opermtovec`3`x`(List(S),Permutation(S),NonNegativeInteger)->Vector(NonNegativeInteger)`dPermutationGroup(S)``0
opermutationGroup`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``0
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``0
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``0
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``0
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``0
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``457179
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``457346
opermutation`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``457494
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``0
operspective`2`x`(_$,String)->Void`dThreeDimensionalViewport``0
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``0
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``0
ophysicalLength!`2`x`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``457654
ophysicalLength`1`x`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->F`pElementaryFunction(R,F)``457756
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`n`()->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``457813
opi`0`x`()->_$`cTranscendentalFunctionCategory``457954
opi`0`x`()->_$`dPi``458012
opile`1`n`(List(_$))->_$`dOutputForm``458072
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``458272
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``0
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``0
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``0
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``0
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``458430
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``458549
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``0
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``0
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``0
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``0
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``0
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``0
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``0
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``458669
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``458752
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``0
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``0
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``0
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``0
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``458879
oplusInfinity`0`x`()->_$`dOrderedCompletion(R)``458931
oplus`2`n`(_$,_$)->_$`dListMonoidOps(S,E,un)``458979
oplus`2`n`(_$,_$)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`459099
oplus`3`n`(S,E,_$)->_$`dListMonoidOps(S,E,un)``459199
opmComplexintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`0
opmintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`0
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))`0
opo`1`n`(_$)->P`dOppositeMonogenicLinearOperator(P,R)``459328
opoint?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``0
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``0
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``0
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``0
opointColor`1`x`(Float)->_$`dDrawOption``459401
opointColor`1`x`(Palette)->_$`dDrawOption``0
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``0
opointList`1`x`(_$)->List(S)`dPermutationGroup(S)``0
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``0
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``0
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``0
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``0
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``0
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``0
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``0
opoint`1`x`(List(R))->_$`cPointCategory(R)``459544
opoint`1`x`(Point(R))->_$`cThreeSpaceCategory(R)``0
opoint`1`x`(_$)->Point(R)`cThreeSpaceCategory(R)``0
opoint`2`x`(_$,List(R))->_$`cThreeSpaceCategory(R)``0
opoint`2`x`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``0
opoint`2`x`(_$,Point(R))->_$`cThreeSpaceCategory(R)``0
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``0
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``0
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``0
opoisson`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``459657
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``0
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``0
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`459696
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``0
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``459811
opole?`1`x`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``459950
opolyPart`1`x`(_$)->UP`dFullPartialFractionExpansion(F,UP)``460025
opolyRDE`5`n`(UP,UP,UP,Integer,(UP)->UP)->Union(ans:Record(ans:UP,nosol:Boolean),eq:Record(b:UP,c:UP,m:Integer,alpha:UP,beta:UP))`pTranscendentalRischDE(F,UP)``0
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``0
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``0
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``460092
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``0
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``0
opolygamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``460187
opolygon?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``0
opolygon`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``0
opolygon`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``0
opolygon`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``0
opolygon`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``0
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``0
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``0
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``0
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``0
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``460325
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``460364
opop!`1`x`(_$)->S`cStackAggregate(S)``460529
opopFortranOutputStack`0`n`()->Void`pFortranOutputStackPackage``460749
oposition!`2`x`(_$,SingleInteger)->SingleInteger`dBinaryFile``460817
oposition`1`x`(_$)->NonNegativeInteger`cCachableSet``460893
oposition`1`x`(_$)->SingleInteger`dBinaryFile``460972
oposition`2`n`((S)->Boolean,A)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`x`((S)->Boolean,_$)->Integer`cFiniteLinearAggregate(S)``461054
oposition`2`x`(S,_$)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`461259
oposition`3`n`(S,A,Integer)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xListAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`3`x`(CharacterClass,_$,Integer)->Integer`cStringAggregate``461418
oposition`3`x`(S,_$,Integer)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`461569
oposition`3`x`(_$,_$,Integer)->Integer`cStringAggregate``461782
opositive?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
opositive?`1`n`(S)->Boolean`xOrderedRing&(S)``0
opositive?`1`x`(_$)->Boolean`cIntervalCategory(R)``461949
opositive?`1`x`(_$)->Boolean`cOrderedRing``462080
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``462158
opositiveRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``462260
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``462385
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
opostfix`2`n`(_$,_$)->_$`dOutputForm``462599
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``462675
opow`4`n`(U32Vector,PositiveInteger,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``0
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``0
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``462709
opowerSum`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``0
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`0
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`0
opowers`1`n`(List(Integer))->List(List(Integer))`dPartition``0
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``462815
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``462897
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``463076
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``0
oprecision`0`n`()->PositiveInteger`dMachineFloat``0
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``463245
oprecision`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``0
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`463309
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``463394
opredicates`1`n`(_$)->List(Any)`dPattern(R)``463547
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(_$,_$)->Boolean`cStringAggregate``463687
oprefixRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``463928
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``464145
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``464294
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``464474
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)``0
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)``0
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
opreprocess`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``0
opreprocess`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``0
opresub`2`n`(_$,_$)->_$`dOutputForm``464644
opresuper`2`n`(_$,_$)->_$`dOutputForm``464728
opretendOfType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``464816
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``464906
oprevious`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``464990
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`465177
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`465303
oprimaryDecomp`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl,nv)``0
oprime?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``0
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``465483
oprime?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``0
oprime?`1`x`(_$)->Boolean`cUniqueFactorizationDomain``466688
oprimeFactor`2`x`(R,Integer)->_$`dFactored(R)``466852
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(_$)->_$`cFieldOfPrimeCharacteristic``467002
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``467093
oprime`1`n`(_$)->_$`dOutputForm``467190
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``467282
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``467364
oprimextendedint`4`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),Fraction(UP))->Union(Record(answer:Fraction(UP),a0:F),Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``0
oprimextintfrac`3`n`(Fraction(UP),(UP)->UP,Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``0
oprimintegrate`3`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``0
oprimintfldpoly`3`n`(UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),F)->Union(UP,"failed")`pTranscendentalIntegration(F,UP)``0
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``0
oprimitive?`1`x`(_$)->Boolean`cFiniteFieldCategory``467454
oprimitiveElement`0`x`()->_$`cFiniteFieldCategory``467698
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``0
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``0
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`0
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``0
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``0
oprimitiveMonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`x`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``467898
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`468097
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)`468186
oprimitivePart`1`x`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``468309
oprimitivePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`468432
oprimitivePart`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`468556
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`468687
oprimitivePart`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`468886
oprimlimintfrac`3`n`(Fraction(UP),(UP)->UP,List(Fraction(UP)))->Union(Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),"failed")`pTranscendentalIntegration(F,UP)``0
oprimlimitedint`4`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``0
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``469052
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``469086
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``469166
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``0
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``469392
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``469432
oprintCode`1`n`(_$)->Void`dFortranCode``469471
oprintHeader`0`n`()->Void`dTheSymbolTable``469539
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``469687
oprintHeader`2`n`(Symbol,_$)->Void`dTheSymbolTable``469833
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``469985
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))->_$`dFortranCode``0
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``470230
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``470282
oprintTypes`1`n`(_$)->Void`dSymbolTable``470403
oprint`1`n`(_$)->Void`dOutputForm``470524
oprint`1`x`(OutputForm)->Void`pPrintPackage``470573
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``470684
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oprocessTemplate`1`n`(FileName)->FileName`dFortranTemplate``470805
oprocessTemplate`2`n`(FileName,FileName)->FileName`dFortranTemplate``470932
oprod`1`n`(_$)->_$`dOutputForm``471044
oprod`2`n`(_$,_$)->_$`dOutputForm``471132
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``471258
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``471424
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``0
oproduct`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``471532
oproduct`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``471640
oproduct`2`x`(_$,_$)->_$`cGradedAlgebra(R,E)``471796
oproduct`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``472258
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``0
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``0
oprologue`1`x`(_$)->List(String)`dScriptFormulaFormat``0
oprologue`1`x`(_$)->List(String)`dTexFormat``0
oproperties`1`x`(_$)->AssociationList(Symbol,None)`dBasicOperator``0
oproperty`2`x`(_$,Symbol)->Union(None,"failed")`dBasicOperator``472535
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`n`(polR,polR)->Record(coef:R,quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``472664
opseudoDivide`2`x`(_$,_$)->Record(coef:R,quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`472780
opseudoDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``472978
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`473226
opseudoRemainder`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)``473419
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)``0
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)``0
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)``0
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)``0
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``0
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)``0
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``0
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)``0
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``0
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``0
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``0
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``0
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``0
optree`1`x`(S)->_$`dPendantTree(S)``473657
optree`2`x`(_$,_$)->_$`dPendantTree(S)``473704
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``473745
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
opuiseux`2`x`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``0
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``0
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``473928
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``474271
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``474413
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``474611
opush!`2`x`(S,_$)->S`cStackAggregate(S)``474761
opushFortranOutputStack`1`n`(FileName)->Void`pFortranOutputStackPackage``475025
opushFortranOutputStack`1`n`(String)->Void`pFortranOutputStackPackage``475111
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``475197
opushdown`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``475244
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``475290
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``0
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``0
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``0
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``475442
opushup`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``475487
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``475531
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``0
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``0
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``0
oqShiftAction`4`n`(D,NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``475691
oqShiftC`2`n`(D,NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``475940
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``476268
oqelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``476639
oqelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``476837
oqfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(Fraction(Integer))),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``0
oqinterval`2`x`(R,R)->_$`cIntervalCategory(R)``477013
oqnew`1`n`(Integer)->_$`dComplexDoubleFloatVector``477155
oqnew`1`n`(Integer)->_$`dDoubleFloatVector``477232
oqnew`2`n`(Integer,Integer)->_$`dComplexDoubleFloatMatrix``477309
oqnew`2`n`(Integer,Integer)->_$`dDoubleFloatMatrix``477393
oqqq`3`n`(NonNegativeInteger,TaylorSeries(R),Stream(TaylorSeries(R)))->(Stream(TaylorSeries(R)))->Stream(TaylorSeries(R))`pWeierstrassPreparation(R)``0
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``0
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`477477
oqsetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``477733
oquadraticForm`1`x`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``0
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``477916
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``0
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``0
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``0
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``0
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``478002
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``478205
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``478411
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``478626
oquasiRegular?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``478707
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``478788
oquasiRegular`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``478859
oquatern`4`x`(R,R,R,R)->_$`cQuaternionCategory(R)``478930
oqueue`1`x`(List(S))->_$`dQueue(S)``479005
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``0
oquoByVar`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``479165
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`dOutputForm``479432
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``479489
oquo`2`x`(_$,_$)->_$`dNonNegativeInteger``479600
oquote`0`x`()->_$`dCharacter``479697
oquote`1`n`(_$)->_$`dOutputForm``479768
oquoted?`1`n`(_$)->Boolean`dPattern(R)``0
oquotedOperators`1`x`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``479838
oquotientByP`1`x`(_$)->_$`cPAdicIntegerCategory(p)``480065
oquotient`2`x`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
oquotient`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
orCoord`1`n`(Point(R))->R`pPointPackage(R)``0
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``0
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``0
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``0
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``0
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``480140
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``0
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``0
oradicalSimplify`1`n`(QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(nv,NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(nv,NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pQuasiAlgebraicSet2(vl,nv)``0
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``0
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``0
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``0
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``0
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``0
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``0
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``0
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``0
oradical`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl,nv)``0
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``480378
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``0
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``480462
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``480529
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``480599
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``0
orandnum`0`x`()->Integer`pRandomNumberSource``480666
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``480731
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``0
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``480799
orandomR`0`n`()->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``480855
orandomR`0`n`()->R`pPolynomialFactorizationByRecursionUnivariate(R,S)``480915
orandom`0`n`()->A`xQuotientFieldCategory&(A,S)``0
orandom`0`n`()->S`xFinite&(S)``0
orandom`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
orandom`0`n`()->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
orandom`0`x`()->_$`cFinite``480977
orandom`0`x`()->_$`cIntegerNumberSystem``481039
orandom`0`x`()->_$`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`481117
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``0
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``0
orandom`1`x`(_$)->Permutation(S)`dPermutationGroup(S)``0
orandom`1`x`(_$)->_$`cIntegerNumberSystem``481196
orandom`1`x`(_$)->_$`dInteger``481267
orandom`1`x`(_$)->_$`dNonNegativeInteger``481338
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``0
orandom`2`x`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``0
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``0
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``0
orange`1`x`(List(Segment(Float)))->_$`dDrawOption``0
orange`1`x`(List(Segment(Fraction(Integer))))->_$`dDrawOption``481409
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``0
oranges`1`x`(List(Segment(Float)))->_$`dDrawOption``0
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``0
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``0
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``481534
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``481588
orank`1`n`(List(Vector(R)))->NonNegativeInteger`dVectorSpaceBasis(R)``481661
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``481723
orank`1`n`(_$)->NonNegativeInteger`dVectorSpaceBasis(R)``481786
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`481887
orank`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`481950
orank`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`482013
orank`1`x`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``0
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``0
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``0
orarrow`2`n`(_$,_$)->_$`dOutputForm``482076
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``482150
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``482288
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``482406
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``0
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``0
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``0
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``0
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``0
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``482545
orational?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
orational?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
orational?`1`x`(S)->Boolean`pRationalRetractions(S)``482673
orational?`1`x`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`482780
orational?`1`x`(_$)->Boolean`cIntegerNumberSystem``482847
orational?`1`x`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`482948
orational?`1`x`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`483064
orational?`1`x`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`483260
orational?`1`x`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`483380
orational?`1`x`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`483454
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``483528
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``0
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``483665
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``0
orationalFunction`2`x`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`0
orationalFunction`3`x`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xIntegerNumberSystem&(S)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
orationalIfCan`1`x`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``483845
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`483964
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``484086
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`484191
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`484306
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`484531
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`484641
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`484753
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``484866
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``484948
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``485030
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`485113
orationalPower`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``0
orational_reconstruction`1`n`(_$)->Union(Record(numers:PrimitiveArray(Integer),denoms:PrimitiveArray(Integer)),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`1`n`(_$)->Union(Record(numers:PrimitiveArray(U32Vector),denoms:PrimitiveArray(U32Vector)),"failed")`dVectorModularReconstructor``0
orational_reconstruction`4`n`(Integer,Integer,Integer,Integer)->Union(Record(num:Integer,den:Integer),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`4`n`(U32Vector,U32Vector,Integer,Integer)->Union(Record(numer:U32Vector,denom:U32Vector),"failed")`dVectorModularReconstructor``0
orational`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xIntegerNumberSystem&(S)``0
orational`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
orational`1`x`(S)->Fraction(Integer)`pRationalRetractions(S)``485196
orational`1`x`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`485305
orational`1`x`(_$)->Fraction(Integer)`cIntegerNumberSystem``485415
orational`1`x`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`485503
orational`1`x`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`485623
orational`1`x`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`485834
orational`1`x`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`485994
orational`1`x`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`486111
oratpart`1`n`(_$)->F`dIntegrationResult(F)``486226
oravel`1`x`(_$)->List(R)`dCartesianTensor(minix,dim,R)``486303
orc`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``486424
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``486463
ordregime`1`n`(String)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``0
oread!`1`x`(_$)->S`cFileCategory(Name,S)``486510
oreadIfCan!`1`x`(_$)->Union(S,"failed")`dFile(S)``486674
oreadIfCan!`1`x`(_$)->Union(SingleInteger,"failed")`dBinaryFile``486869
oreadIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``487064
oreadLine!`1`x`(_$)->String`dTextFile``487277
oreadLineIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``487371
oreadable?`1`x`(_$)->Boolean`cFileNameCategory``487588
oreal?`1`n`(_$)->Boolean`dFortranScalarType``487679
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``487765
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``487830
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``0
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``0
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``487895
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``0
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``0
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``0
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``0
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``0
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``0
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``0
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``0
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``0
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``0
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``0
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``0
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``0
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``488051
oreal`1`x`(_$)->R`cComplexCategory(R)``488145
oreal`1`x`(_$)->R`cOctonionCategory(R)``488198
oreal`1`x`(_$)->R`cQuaternionCategory(R)``488261
orecip`0`n`()->_$`dMoebiusTransform(F)``488330
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xIntegralDomain&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
orecip`1`n`(S)->Union(S,"failed")`xMonoid&(S)``0
orecip`1`n`(Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``0
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``488434
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``488471
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``488508
orecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`488552
orecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``488785
orecip`1`x`(_$)->Union(_$,"failed")`cMonoid``488987
orecip`1`x`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,bLin)``489127
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`x`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``489241
orecip`2`x`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``489444
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``489536
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``0
oreconstruct`2`n`(_$,Vector(Integer))->Union(PrimitiveArray(Integer),"failed")`dVectorIntegerReconstructor``0
oreconstruct`5`n`(_$,Integer,Vector(Integer),Vector(Integer),SortedExponentVector)->Union(Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed")`dVectorModularReconstructor``0
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``0
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``489706
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``0
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``0
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``489831
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``489865
ored`0`x`()->_$`dColor``489900
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``0
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)``0
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)``489973
oreduceBasis`4`n`(Vector(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``0
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``490135
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``0
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``490278
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)->_$`dModMonic(R,Rep)``490365
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``0
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(_$)->_$`dInnerAlgebraicNumber``490403
oreduce`1`x`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`490532
oreduce`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``490616
oreduce`1`x`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``490769
oreduce`1`x`(_$)->_$`dAlgebraicNumber``490900
oreduce`1`x`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`491029
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`n`(R,Mod)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``491161
oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``491203
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``491245
oreduce`2`x`((S,S)->S,_$)->S`cCollection(S)`has(_$,finiteAggregate)`491287
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)``0
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``0
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``0
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``0
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``0
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``491703
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``491840
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``491983
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``492319
oreduce`3`x`((S,S)->S,_$,S)->S`cCollection(S)`has(_$,finiteAggregate)`492647
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``0
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,SetCategory))`493080
oreduce`4`x`(P,_$,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``493518
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``494252
oreduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``494415
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`x`(P,_$,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``494530
oreducedContinuedFraction`2`x`(R,Stream(R))->_$`dContinuedFraction(R)``494815
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``495133
oreducedForm`1`x`(_$)->_$`dContinuedFraction(R)``495185
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`x`(Matrix(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``495437
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(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))`xFullyLinearlyExplicitRingOver&(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))`xFullyLinearlyExplicitRingOver&(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))`cLinearlyExplicitRingOver(R)``495575
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``495740
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``495910
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``496020
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`1`n`(_$)->_$`dAntiSymm(R,lVar)``496113
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``496298
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``496479
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``496519
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``496559
oreductum`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``496668
oreductum`1`x`(_$)->_$`cIndexedDirectProductCategory(A,S)``496779
oreductum`1`x`(_$)->_$`cMonogenicLinearOperator(R)``496946
oreductum`1`x`(_$)->_$`cMonoidRingCategory(R,M)`has(M,OrderedSet)`497070
oreductum`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)``497136
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``497260
oref`1`n`(S)->_$`dReference(S)``497430
orefine`1`n`(_$)->_$`dPlot3D``497505
orefine`1`n`(_$)->_$`dPlot``497543
orefine`1`x`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``497610
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``0
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``0
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``0
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``0
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``0
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``0
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``0
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``0
oregime`7`n`(Record(det:GR,rows:List(Integer),cols:List(Integer)),Matrix(GR),List(Fraction(Polynomial(R))),List(List(GR)),NonNegativeInteger,NonNegativeInteger,Integer)->Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))`pParametricLinearEquations(R,Var,Expon,GR)``0
oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``0
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``497693
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``497845
oreindex`2`x`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``498019
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeals(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`0
orelativeApprox`2`x`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``0
orelativeApprox`3`x`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``0
orelativeApprox`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``498293
orelerror`2`x`(_$,_$)->Integer`dFloat``0
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`dOutputForm``498425
orem`2`x`(_$,_$)->_$`cEuclideanDomain``498482
orem`2`x`(_$,_$)->_$`dNonNegativeInteger``498594
oremainder!`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``0
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`x`(P,_$)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`498664
oremapvariables`3`n`(SparseMultivariatePolynomial(R,VarSet1),List(VarSet1),List(VarSet2))->SparseMultivariatePolynomial(R,VarSet2)`pSparsePolynomialCoercionHelpers(R,VarSet1,VarSet2)``499044
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``0
oremove!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`499290
oremove!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``499448
oremove!`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``499586
oremove!`2`x`(S,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`499792
oremove!`2`x`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`499935
oremove!`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``500021
oremove!`3`x`(S,_$,Integer)->_$`dMultiset(S)``500320
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`0
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``500571
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``500748
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`500929
oremoveDuplicates!`1`x`(_$)->_$`cMultiDictionary(S)``501012
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,SetCategory))`501114
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`0
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`0
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`0
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`0
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``501204
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``501381
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``0
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``0
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``0
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``0
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``501562
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``501883
oremoveZeroes`1`x`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``502447
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``0
oremoveZeroes`2`x`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``0
oremove_denoms`3`n`(Vector(Integer),PrimitiveArray(Integer),PrimitiveArray(Integer))->PrimitiveArray(Integer)`dVectorIntegerReconstructor``0
oremove_denoms`4`n`(Vector(Integer),PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->PrimitiveArray(U32Vector)`dVectorModularReconstructor``0
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)``0
oremove`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`502986
oremove`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``503239
oremove`2`x`(S,_$)->_$`cCollection(S)`AND(has(_$,finiteAggregate),has(S,SetCategory))`503437
oremove`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``503666
oremove`3`x`(S,_$,Integer)->_$`dMultiset(S)``503950
orename!`2`x`(_$,OutputForm)->_$`cRealClosedField``0
orename`2`x`(_$,OutputForm)->_$`cRealClosedField``0
oreopen!`2`x`(_$,String)->_$`cFileCategory(Name,S)``0
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``504186
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``504330
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``504474
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``0
orepack_polys`4`n`(Integer,Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector))->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``0
orepeatUntilLoop`2`n`(Switch,_$)->_$`dFortranCode``504618
orepeating?`2`x`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`0
orepeating`1`x`(List(S))->_$`dStream(S)``0
oreplaceDiffs`3`n`(F,BasicOperator,Symbol)->F`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``0
oreplace`3`x`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``504699
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``504827
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`x`(Vector(F))->_$`cFiniteAlgebraicExtensionField(F)``504984
orepresents`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``505134
orepresents`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``505286
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(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankAlgebra(R,UP)``505455
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``505549
orepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``505668
oreseed`1`x`(Integer)->Void`pRandomNumberSource``505769
oresetBadValues`1`n`(_$)->_$`dPattern(R)``505843
oresetNew`0`x`()->Void`dSymbol``506003
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``506130
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``506254
oreset`1`x`(_$)->Void`dThreeDimensionalViewport``506470
oreshape`2`x`(List(S),PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``506690
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``0
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``0
oresize`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``0
orest`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
orest`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`1`n`(S)->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
orest`1`n`(_$)->_$`dMagma(VarSet)``506733
orest`1`n`(_$)->_$`dOrderedFreeMonoid(S)``506891
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``506955
orest`1`x`(_$)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``507032
orest`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``507228
orest`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
orest`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``507368
oresult`1`n`(_$)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``0
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``507511
oresultantEuclideannaif`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``507650
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`507824
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`508011
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``508136
oresultant`2`x`(_$,_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`508246
oresultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`508341
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`x`(_$,_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`508596
oresultantnaif`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``508733
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(_$,"failed")`cFortranFunctionCategory``508898
oretractIfCan`1`n`(Expression(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`0
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`cFortranFunctionCategory``509027
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`0
oretractIfCan`1`n`(Expression(R))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``0
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``0
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`cFortranFunctionCategory``509156
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`0
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`cFortranFunctionCategory``509285
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`0
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Matrix(Expression(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``509414
oretractIfCan`1`n`(Matrix(Expression(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``509543
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``509672
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``509801
oretractIfCan`1`n`(Matrix(Polynomial(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``509930
oretractIfCan`1`n`(Matrix(Polynomial(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``510059
oretractIfCan`1`n`(Polynomial(Float))->Union(_$,"failed")`cFortranFunctionCategory``510188
oretractIfCan`1`n`(Polynomial(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`0
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`cFortranFunctionCategory``510317
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`0
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Polynomial(R)),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xIntegerNumberSystem&(S)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(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)``0
oretractIfCan`1`n`(Vector(Expression(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``510446
oretractIfCan`1`n`(Vector(Expression(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``510575
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranVectorFunctionCategory``510704
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranVectorFunctionCategory``510833
oretractIfCan`1`n`(Vector(Polynomial(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``510962
oretractIfCan`1`n`(Vector(Polynomial(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``511091
oretractIfCan`1`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``511220
oretractIfCan`1`x`(List(P))->Union(_$,"failed")`cPolynomialSetCategory(R,E,VarSet,P)``511386
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`511579
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`511727
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`511875
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`512023
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`512171
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`512319
oretractIfCan`1`x`(_$)->Union(S,"failed")`cRetractableTo(S)``512467
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))->_$`cFortranFunctionCategory``512617
oretract`1`n`(Expression(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`0
oretract`1`n`(Expression(Integer))->_$`cFortranFunctionCategory``512741
oretract`1`n`(Expression(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`0
oretract`1`n`(Expression(R))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``0
oretract`1`n`(Fraction(Polynomial(Float)))->_$`cFortranFunctionCategory``512865
oretract`1`n`(Fraction(Polynomial(Float)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`0
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`cFortranFunctionCategory``512989
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`0
oretract`1`n`(Matrix(Expression(Float)))->_$`cFortranMatrixFunctionCategory``513113
oretract`1`n`(Matrix(Expression(Integer)))->_$`cFortranMatrixFunctionCategory``513237
oretract`1`n`(Matrix(Fraction(Polynomial(Float))))->_$`cFortranMatrixFunctionCategory``513361
oretract`1`n`(Matrix(Fraction(Polynomial(Integer))))->_$`cFortranMatrixFunctionCategory``513485
oretract`1`n`(Matrix(Polynomial(Float)))->_$`cFortranMatrixFunctionCategory``513609
oretract`1`n`(Matrix(Polynomial(Integer)))->_$`cFortranMatrixFunctionCategory``513733
oretract`1`n`(Polynomial(Float))->_$`cFortranFunctionCategory``513857
oretract`1`n`(Polynomial(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`0
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->_$`cFortranFunctionCategory``513981
oretract`1`n`(Polynomial(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`0
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``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)``0
oretract`1`n`(Vector(Expression(Float)))->_$`cFortranVectorFunctionCategory``514105
oretract`1`n`(Vector(Expression(Integer)))->_$`cFortranVectorFunctionCategory``514229
oretract`1`n`(Vector(Fraction(Polynomial(Float))))->_$`cFortranVectorFunctionCategory``514353
oretract`1`n`(Vector(Fraction(Polynomial(Integer))))->_$`cFortranVectorFunctionCategory``514477
oretract`1`n`(Vector(Polynomial(Float)))->_$`cFortranVectorFunctionCategory``514601
oretract`1`n`(Vector(Polynomial(Integer)))->_$`cFortranVectorFunctionCategory``514725
oretract`1`x`(Any)->S`pAnyFunctions1(S)``514849
oretract`1`x`(List(P))->_$`cPolynomialSetCategory(R,E,VarSet,P)``515013
oretract`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`515193
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`515381
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`515569
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`515757
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`515945
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`516133
oretract`1`x`(_$)->S`cRetractableTo(S)``516321
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``516456
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``516562
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``516689
oretractable?`1`n`(_$)->Boolean`dMagma(VarSet)``516784
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``516879
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``516975
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``0
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``0
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``0
oreturnTypeOf`2`n`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``0
oreturns`0`n`()->_$`dFortranCode``517073
oreturns`1`n`(Expression(Complex(Float)))->_$`dFortranCode``517153
oreturns`1`n`(Expression(Float))->_$`dFortranCode``517256
oreturns`1`n`(Expression(Integer))->_$`dFortranCode``517359
oreturns`1`n`(Expression(MachineComplex))->_$`dFortranCode``517462
oreturns`1`n`(Expression(MachineFloat))->_$`dFortranCode``517565
oreturns`1`n`(Expression(MachineInteger))->_$`dFortranCode``517668
oreverse!`1`n`(A)->A`xListAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oreverse!`1`n`(_$)->_$`dListMonoidOps(S,E,un)``517771
oreverse!`1`x`(_$)->_$`cDequeueAggregate(S)``517881
oreverse!`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(_$,shallowlyMutable)`518054
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``0
oreverse`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``518133
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``518202
oreverse`1`x`(_$)->_$`cFiniteLinearAggregate(S)``518421
oreverse`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``518506
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``0
orevert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``518612
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`518807
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`519211
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`x`(List(P),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``519583
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``520665
orhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``520721
orhs`1`x`(_$)->S`dEquation(S)``520792
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`0
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`0
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`0
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``0
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`0
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``0
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``0
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``0
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``520867
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``520919
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``521144
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``521369
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``521529
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``521900
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``522271
orightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`522583
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`0
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`522791
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`522901
orightFactorCandidate`2`x`(UP,NonNegativeInteger)->UP`pPolynomialDecomposition(UP,F)``0
orightFactorIfCan`3`n`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``0
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`523017
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`523257
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`523458
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``523694
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``523823
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`523923
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`523982
orightPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``524041
orightPower`2`x`(_$,PositiveInteger)->_$`cMonad``524236
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`524431
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`0
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``524624
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`524865
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``525106
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`525269
orightRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``525491
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``525682
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``525856
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`526065
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``0
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``526259
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``526547
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(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``526835
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``527049
orightTrim`2`x`(_$,Character)->_$`cStringAggregate``527144
orightTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``527321
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`527519
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``527646
orightUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`527771
orightZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`527897
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``527956
oright`1`n`(_$)->_$`dMagma(VarSet)``528114
oright`1`n`(_$)->_$`dOutputForm``528267
oright`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``528336
oright`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``528412
oright`2`n`(_$,Integer)->_$`dOutputForm``528460
orischDE`6`n`(Integer,F,F,Symbol,(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"),(F,F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(ans:F,right:F,sol?:Boolean)`pElementaryRischDE(R,F)``0
orischDEsys`7`n`(Integer,F,F,F,Symbol,(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"),(F,F)->Union(Record(ratpart:F,coeff:F),"failed"))->Union(List(F),"failed")`pElementaryRischDESystem(R,F)``0
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``0
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``0
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``0
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``0
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``0
ork4qc`14`x`(Vector(Float),Integer,Float,Record(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``0
ork4qc`7`x`(Vector(Float),Integer,Float,Record(try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``0
oroman`1`x`(Integer)->_$`dRomanNumeral``528549
oroman`1`x`(Symbol)->_$`dRomanNumeral``528610
oromberg`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``0
orombergo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``0
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``0
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``0
orootKerSimp`3`x`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`0
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``0
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``528678
orootOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``528802
orootOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``528870
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`x`(SparseUnivariatePolynomial(_$),PositiveInteger)->Union(_$,"failed")`cRealClosedField``0
orootOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``528994
orootOf`2`x`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``0
orootOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``529110
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``0
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``0
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`529225
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`529381
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``529610
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``529825
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`529950
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``530177
oroot`1`n`(_$)->_$`dOutputForm``530404
oroot`2`n`(_$,_$)->_$`dOutputForm``530479
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``530562
orootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``530844
orootsOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``531070
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``531357
orootsOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``531603
orotate!`1`x`(_$)->_$`cQueueAggregate(S)``531849
orotate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``0
orotate`3`x`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``0
orotatex`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``532043
orotatey`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``532141
orotatez`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``532239
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`532337
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
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)`532525
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)`532769
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`533039
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(_$)->_$`cRealNumberSystem``533195
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``0
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``0
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``0
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``533259
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``533392
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`533473
orowEchelon`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`533554
orowEchelon`1`x`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`533635
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``0
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`x`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``533716
orow`2`x`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``533841
orquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``533959
orquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``534044
orquo`2`n`(_$,_$)->Union(_$,"failed")`dOrderedFreeMonoid(S)``534239
orquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``0
orquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``0
orquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``534424
orquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``534508
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``0
orspace`2`n`(Integer,Integer)->_$`dOutputForm``534605
orst`1`x`(_$)->_$`cLazyStreamAggregate(S)``534700
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``0
orule`2`x`(F,F)->_$`dRewriteRule(Base,R,F)``534890
orule`3`x`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``535035
orules`1`x`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``0
oruleset`1`x`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``0
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``0
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``0
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``0
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``0
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``0
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`0
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`0
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`0
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`0
osafety`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``0
osafety`1`x`(NonNegativeInteger)->_$`dGuessOption``535425
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMonoid&(S)``0
osample`0`x`()->_$`cAbelianMonoid``535579
osample`0`x`()->_$`cAggregate``535626
osample`0`x`()->_$`cMonoid``535673
osample`0`x`()->_$`dCartesianTensor(minix,dim,R)``535720
osample`0`x`()->_$`dSymbol``535773
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``535819
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``535931
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``536072
osaturate`2`x`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
osaturate`3`x`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
osave`0`n`()->_$`dFortranCode``536306
osayLength`1`x`(List(String))->Integer`pDisplayPackage``0
osayLength`1`x`(String)->Integer`pDisplayPackage``0
osay`1`x`(List(String))->Void`pDisplayPackage``0
osay`1`x`(String)->Void`pDisplayPackage``0
oscalarMatrix`1`x`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``536373
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``536503
oscalarTypeOf`1`n`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``0
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``536637
oscale`1`n`(F)->_$`dMoebiusTransform(F)``536740
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``536845
oscale`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``536945
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``0
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`0
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``0
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``0
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``0
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``0
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``0
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``537062
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``537371
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``0
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``0
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``0
oscreenResolution3D`0`n`()->Integer`dPlot3D``0
oscreenResolution`0`n`()->Integer`dPlot``0
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``0
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``0
oscript`2`x`(_$,List(List(OutputForm)))->_$`dSymbol``0
oscript`2`x`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``0
oscripted?`1`x`(_$)->Boolean`dSymbol``537680
oscripts`1`x`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``0
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``537762
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``0
osearch`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``537900
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``538122
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``538220
osec`1`n`(F)->F`pElementaryFunction(R,F)``538307
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)``0
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``538368
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``538436
osec`1`x`(_$)->_$`cTrigonometricFunctionCategory``538506
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``538559
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``538661
osech`1`n`(F)->F`pElementaryFunction(R,F)``538750
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)``0
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``538823
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``538903
osech`1`x`(_$)->_$`cHyperbolicFunctionCategory``538985
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``539050
oseed`0`x`()->Integer`pRandomNumberSource``539170
osegment`1`x`(S)->_$`dUniversalSegment(S)``539223
osegment`1`x`(_$)->Segment(S)`dSegmentBinding(S)``539305
osegment`2`x`(S,S)->_$`cSegmentCategory(S)``539509
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(_$,finiteAggregate)`539593
oselect!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``539754
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
oselect`2`n`((P)->Boolean,S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oselect`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oselect`2`n`(S,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`(_$,NonNegativeInteger)->S`dTuple(S)``539884
oselect`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`539982
oselect`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``540226
oselect`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``540410
oselect`2`x`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``540476
oselectfirst`1`n`(_$)->A`dProduct(A,B)``540614
oselectsecond`1`n`(_$)->B`dProduct(A,B)``540657
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``0
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``540701
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``0
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``540917
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``541174
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``541343
osemiResultantEuclideannaif`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``541561
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`541740
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``541935
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``542215
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``542558
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``542661
oseparateDegrees`1`x`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``0
oseparateFactors`1`x`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``0
oseparateFactors`2`x`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``0
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`0
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``542786
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`x`(_$,_$)->Record(primePart:_$,commonPart:_$)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`542952
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``0
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``0
oseriesSolve`2`n`((UTSSMPF)->UTSSMPF,List(F))->UTSF`pTaylorSolve(F,UTSF,UTSSMPF)``0
oseriesSolve`4`n`(F,BasicOperator,Symbol,List(F))->UTSF`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``0
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``0
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``0
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``0
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``0
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``0
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``0
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``0
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``0
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``0
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``0
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``543089
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``0
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``543519
oseries`1`x`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``543700
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``0
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``0
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``0
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``0
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``0
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``0
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``0
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``543797
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``543883
osetDifference`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`544045
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``544218
osetEpilogue!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``0
osetEpilogue!`2`x`(_$,List(String))->List(String)`dTexFormat``0
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``544295
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``0
osetFormula!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``0
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``0
osetIntersection`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`544591
osetLabelValue`1`n`(SingleInteger)->SingleInteger`dFortranCode``544772
osetLegalFortranSourceExtensions`1`n`(List(String))->List(String)`pFortranPackage``544856
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``0
osetMaxPoints`1`n`(Integer)->Integer`dPlot``0
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``0
osetMinPoints`1`n`(Integer)->Integer`dPlot``0
osetMode`2`x`(String,Boolean)->Boolean`dCliffordAlgebra(n,K,bLin)``544921
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``0
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``544996
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``545359
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``545797
osetPosition`2`x`(_$,NonNegativeInteger)->Void`cCachableSet``545836
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``545915
osetPrologue!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``0
osetPrologue!`2`x`(_$,List(String))->List(String)`dTexFormat``0
osetProperties`2`x`(_$,AssociationList(Symbol,None))->_$`dBasicOperator``0
osetProperty`3`x`(_$,Symbol,None)->_$`dBasicOperator``546033
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``0
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`x`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``546228
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``0
osetScreenResolution`1`n`(Integer)->Integer`dPlot``0
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``0
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``0
osetTex!`2`x`(_$,List(String))->List(String)`dTexFormat``0
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``0
osetUnion`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`546308
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``546478
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``546632
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``546771
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->_$`cSetAggregate(S)``546957
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->_$`cSetAggregate(S)``547036
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`547152
osetelt!`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``0
osetelt`2`n`(_$,S)->S`dReference(S)``547286
osetelt`3`n`(A,"first",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"first",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"left",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"right",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xStreamAggregate&(A,S)``0
osetelt`3`x`(_$,"first",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`547368
osetelt`3`x`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`547521
osetelt`3`x`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`547671
osetelt`3`x`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`547808
osetelt`3`x`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`547958
osetelt`3`x`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`548105
osetelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`548244
osetelt`3`x`(_$,Key,Entry)->Entry`cTableAggregate(Key,Entry)``548437
osetelt`3`x`(_$,Symbol,Any)->Any`dLibrary``548608
osetelt`3`x`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,shallowlyMutable)`548735
osetelt`4`n`(S,Integer,Integer,R)->R`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`n`(S,List(Integer),List(Integer),S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``549133
osetelt`4`x`(_$,List(Integer),List(Integer),_$)->_$`cMatrixCategory(R,Row,Col)``549311
osetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`549643
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`549732
osetleaves!`2`x`(_$,List(S))->_$`dBalancedBinaryTree(S)``549826
osetleft!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`549941
osetnext!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`550020
osetprevious!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`550154
osetref`2`n`(_$,S)->S`dReference(S)``550296
osetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`550354
osetrest!`3`x`(_$,Integer,_$)->_$`dStream(S)``0
osetright!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`550440
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(_$,Integer,Integer,_$)->_$`cMatrixCategory(R,Row,Col)``550520
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(_$,S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`550742
osh`2`x`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`0
osh`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`550818
oshade`1`n`(Point(R))->R`pPointPackage(R)``0
oshade`1`x`(_$)->Integer`dPalette``0
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``550947
oshallowExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``0
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``550990
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``0
oshiftHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInte--ger))),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:(NonNegativeIntege--r)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oshiftHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNe--gativeInteger))),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:(NonNega--tiveInteger)->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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Sym--bol,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)``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(E--xpression(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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNega--tiveInteger))),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariate--Polynomial(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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fractio--n(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)->(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)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Intege--r),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:(NonNegative--Integer)->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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMu--ltivariatePolynomial(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)),NonNegativ--eInteger),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomi--al(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,Expressi--on(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oshiftLeft`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftLeft`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``551268
oshiftRight`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftRight`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``551334
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``551423
oshift`1`n`(F)->_$`dMoebiusTransform(F)``551539
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``551644
oshift`2`x`(_$,Integer)->_$`dFloat``0
oshift`2`x`(_$,Integer)->_$`dNonNegativeInteger``551744
oshift`2`x`(_$,_$)->_$`cIntegerNumberSystem``551804
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`0
oshowAllElements`1`x`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`0
oshowArrayValues`1`n`(Boolean)->Boolean`dResult``551866
oshowClipRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``0
oshowFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``552000
oshowRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``0
oshowScalarValues`1`n`(Boolean)->Boolean`dResult``552072
oshowTheSymbolTable`0`n`()->_$`dTheSymbolTable``552208
oshowTypeInOutput`1`x`(Boolean)->String`dAny``552277
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``0
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``552550
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``0
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``0
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``0
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``0
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``0
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``552670
osign`1`n`(S)->Integer`xOrderedRing&(S)``0
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``0
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``0
osign`1`x`(_$)->Integer`cOrderedRing``552706
osign`1`x`(_$)->Integer`dPermutation(S)``552821
osign`2`x`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``0
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``0
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``0
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``0
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``0
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``552917
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``553034
osimplifyPower`2`x`(_$,Integer)->_$`dExpression(R)`has(R,IntegralDomain)`553245
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`553304
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``553608
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``553672
osimpson`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``0
osimpsono`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``0
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``554150
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``554248
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``554333
osin`1`n`(E)->_$`dFourierComponent(E)``554420
osin`1`n`(F)->F`pElementaryFunction(R,F)``554486
osin`1`n`(S)->S`xComplexCategory&(S,R)``0
osin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``0
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``554545
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``554611
osin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``554679
osin`1`x`(_$)->_$`cTrigonometricFunctionCategory``554746
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``0
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``0
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``0
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``0
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``0
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``554797
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``554864
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``554934
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``555015
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``555117
osinh`1`n`(F)->F`pElementaryFunction(R,F)``555206
osinh`1`n`(S)->S`xComplexCategory&(S,R)``0
osinh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``555277
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``555355
osinh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``555435
osinh`1`x`(_$)->_$`cHyperbolicFunctionCategory``555504
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``0
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osize?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``555567
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``555643
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``0
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``0
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``0
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``0
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``0
osize`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
osize`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
osize`0`n`()->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
osize`0`n`()->NonNegativeInteger`xMonogenicAlgebra&(S,R,UP)``0
osize`0`n`()->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osize`0`x`()->Integer`pRandomNumberSource``555797
osize`0`x`()->NonNegativeInteger`cFinite``555861
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``555925
osize`1`n`(_$)->NonNegativeInteger`dFreeMonoid(S)``0
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``555992
osize`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``0
osize`1`x`(_$)->NonNegativeInteger`cFreeAbelianMonoidCategory(S,E)``556064
osize`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``556233
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``0
oslash`2`n`(_$,_$)->_$`dOutputForm``556275
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``0
osmaller?`2`n`(A,A)->Boolean`xFreeModuleCategory&(A,R,S)``0
osmaller?`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
osmaller?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
osmaller?`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
osmaller?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
osmaller?`2`n`(_$,_$)->Boolean`cComparable``556372
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``556458
osn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``556535
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``0
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``0
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``0
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``0
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``0
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``0
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)``0
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``556633
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``0
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursionUnivariate(R,S)``0
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``556882
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``0
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``0
osolveLinear`2`n`(Matrix(R),Vector(R))->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`0
osolveLinear`2`n`(Matrix(R),Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`557147
osolveLinear`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`0
osolveLinear`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`557328
osolveLinearlyOverQ`2`x`(Matrix(R),Vector(R))->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``0
osolveLinearlyOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``0
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``0
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``0
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``0
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``0
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``0
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``0
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``0
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``0
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``0
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``0
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``0
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``0
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``0
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``0
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``0
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``0
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``0
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``0
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``0
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``0
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``0
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``0
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``0
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``0
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``0
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``0
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``0
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``0
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``0
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``0
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)``0
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``0
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``0
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``0
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``0
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``0
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``0
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``0
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``0
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``0
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``0
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``0
osomeBasis`0`x`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``557509
osort!`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`1`n`(A)->A`xListAggregate&(A,S)``0
osort!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`1`x`(_$)->_$`cFiniteLinearAggregate(S)`AND(has(_$,shallowlyMutable),has(S,OrderedSet))`557571
osort!`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(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,_$)->_$`cFiniteLinearAggregate(S)`has(_$,shallowlyMutable)`557649
osort`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort`1`x`(List(_$))->List(_$)`dPermutation(S)``0
osort`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`557732
osort`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort`2`x`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)``557867
osort`2`x`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``557969
osorted?`1`n`(A)->Boolean`xFiniteLinearAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xListAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`1`x`(_$)->Boolean`cFiniteLinearAggregate(S)`has(S,OrderedSet)`558252
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xFiniteLinearAggregate&(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,_$)->Boolean`cFiniteLinearAggregate(S)``558335
ospace`0`x`()->_$`dCharacter``558426
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``0
ospace`1`x`(ThreeSpace(DoubleFloat))->_$`dDrawOption``0
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``0
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``0
osplit!`2`n`(A,Integer)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(_$,Integer)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`558478
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``0
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``558745
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``558930
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``559115
osplitDenominator`1`x`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``559265
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``0
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``0
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``0
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``0
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``0
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``0
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``0
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``559419
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`0
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`0
osplit`2`x`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``559685
osplit`2`x`(_$,Character)->List(_$)`cStringAggregate``559845
osplit`2`x`(_$,CharacterClass)->List(_$)`cStringAggregate``559934
osqfrFactor`2`x`(R,Integer)->_$`dFactored(R)``560029
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``560183
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``560262
osqrt`1`x`(Fraction(Integer))->_$`cRealClosedField``0
osqrt`1`x`(Integer)->_$`cRealClosedField``0
osqrt`1`x`(_$)->_$`cRadicalCategory``560331
osqrt`1`x`(_$)->_$`cRealClosedField``560471
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``0
osqrt`2`x`(_$,PositiveInteger)->_$`cRealClosedField``0
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`(_$)->Boolean`cMatrixCategory(R,Row,Col)``560529
osquare?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``560704
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`0
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``0
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``560879
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)`561050
osquareFreePart`1`x`(_$)->_$`cUniqueFactorizationDomain``561186
osquareFreePart`2`x`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``561299
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`0
osquareFreePrim`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``561821
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``0
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``561940
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``562046
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``562224
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(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``0
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``0
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
osquareFree`1`x`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`562414
osquareFree`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``562508
osquareMatrix`1`n`(Matrix(R))->_$`dSquareMatrix(ndim,R)``562693
osquareTop`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
osquareTop`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``562812
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``0
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``0
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``0
ostack`1`x`(List(S))->_$`dStack(S)``562985
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`0
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``0
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``563136
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``0
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``0
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
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)``0
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostatistics`0`n`()->Void`pUnittestCount``563270
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``0
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``0
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``563412
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``563514
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``0
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``0
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``563618
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``563710
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``563802
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``563894
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostop`0`n`()->_$`dFortranCode``563989
ostoseIntegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?reg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?sqfreg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetsqfreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostring?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``564056
ostring`1`n`(_$)->_$`dOutputForm``564145
ostring`1`x`(Integer)->_$`cStringCategory``564206
ostring`1`x`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``564289
ostring`1`x`(_$)->String`dSymbol``564426
ostripCommentsAndBlanks`1`n`(String)->String`pTemplateUtilities``564529
ostrongGenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``0
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``564672
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``564993
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``565176
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``565329
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``565584
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`x`(List(Matrix(R)))->Vector(Matrix(R))`pStructuralConstantsPackage(R)``0
ostructuralConstants`1`x`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``565839
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``0
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``0
osts2stst`2`n`(Symbol,Stream(Polynomial(R)))->Stream(Stream(Polynomial(R)))`pWeierstrassPreparation(R)``0
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``566113
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`0
ostyle`1`x`(String)->_$`dDrawOption``566194
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``566370
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``0
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``0
osubHeight`1`n`(_$)->Integer`dOutputForm``566574
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
osubMatrix`5`x`(_$,Integer,Integer,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``566658
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``0
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``0
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``0
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``0
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``0
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``0
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``566865
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``567023
osubResultantChain`2`x`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`567197
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``567409
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``567674
osubResultantGcd`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`567818
osubResultantGcd`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`568198
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`568345
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``0
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``568504
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``568616
osub`2`n`(_$,_$)->_$`dOutputForm``568728
osubmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``568806
osubresultantSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``0
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``568888
osubscript`2`x`(_$,List(OutputForm))->_$`dSymbol``0
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``569082
osubspace?`2`n`(_$,_$)->Boolean`dVectorSpaceBasis(R)``569282
osubspace`0`n`()->_$`dSubSpace(n,R)``569366
osubspace`1`x`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``0
osubspace`1`x`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``0
osubspace`2`x`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``0
osubstHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInte--ger))),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:(NonNegativeIntege--r)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Sym--bol,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)``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(E--xpression(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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNega--tiveInteger))),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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariate--Polynomial(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)->(U32Vector,Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fractio--n(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`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
osubst`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
osubst`2`x`(_$,Equation(_$))->_$`cExpressionSpace``569405
osubst`2`x`(_$,List(Equation(_$)))->_$`cExpressionSpace``569500
osubst`2`x`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`569654
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``0
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``569786
osubstring?`3`x`(_$,_$,Integer)->Boolean`cStringAggregate``569895
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``570087
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``570213
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``570335
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``570494
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``570602
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``0
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``0
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``570773
osuchThat`3`x`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``570911
osuffix?`2`x`(_$,_$)->Boolean`cStringAggregate``571054
osumBasis`1`n`(List(List(Vector(R))))->_$`dVectorSpaceBasis(R)``571403
osumBasis`1`n`(List(_$))->_$`dVectorSpaceBasis(R)``571555
osumBasis`2`n`(List(Vector(R)),List(Vector(R)))->_$`dVectorSpaceBasis(R)``571706
osumBasis`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``571841
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``0
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``0
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``0
osum`1`n`(_$)->_$`dOutputForm``571923
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``0
osum`2`n`(_$,_$)->_$`dOutputForm``572006
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``572127
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``0
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``0
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``0
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``0
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``0
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``0
osum`3`n`(_$,_$,_$)->_$`dOutputForm``572234
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``572395
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``0
osummation`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``572501
osummation`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``572607
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``572763
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``573000
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``573237
osup`1`x`(_$)->R`cIntervalCategory(R)``573437
osup`2`x`(_$,_$)->_$`cOrderedAbelianMonoidSup``573500
osuperHeight`1`n`(_$)->Integer`dOutputForm``573608
osuper`2`n`(_$,_$)->_$`dOutputForm``573694
osuperscript`2`x`(_$,List(OutputForm))->_$`dSymbol``0
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``573776
osupport`1`x`(_$)->List(S)`cFreeModuleCategory(R,S)``573909
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``573996
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,shallowlyMutable)`574129
oswapColumns!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``574260
oswapRows!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``574400
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``574534
oswap`1`x`(_$)->_$`dEquation(S)``574602
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``574686
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``574799
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``574946
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``575143
osymbol?`1`n`(_$)->Boolean`dPattern(R)``0
osymbol?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``575274
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`dKernel(S)``575363
osymbolTableOf`2`n`(Symbol,_$)->SymbolTable`dTheSymbolTable``575479
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``0
osymbol`1`x`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``575553
osymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``575690
osymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``575890
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(_$,_$)->_$`cSetAggregate(S)``576090
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``0
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``0
osymmetricPower`2`x`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`576524
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``0
osymmetricProduct`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`576711
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``576918
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``577164
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`577273
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``0
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``0
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``577377
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``0
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``0
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``0
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``0
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``0
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``0
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``577595
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``0
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->_$`cTableAggregate(Key,Entry)``577900
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`x`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``577973
otableau`1`x`(List(List(S)))->_$`dTableau(S)``0
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)``578096
otail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``578224
otail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``578360
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``578540
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``578638
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``0
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``578742
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``0
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``0
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``578829
otan`1`n`(F)->F`pElementaryFunction(R,F)``578997
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)``0
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``579059
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``579128
otan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``579199
otan`1`x`(_$)->_$`cTrigonometricFunctionCategory``579266
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``579320
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``579422
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``579531
otanh`1`n`(F)->F`pElementaryFunction(R,F)``579620
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)``0
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``0
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``579694
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``579775
otanh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``579858
otanh`1`x`(_$)->_$`cHyperbolicFunctionCategory``579927
otanintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F,F)->Union(List(F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``0
otaylorIfCan`1`x`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``579993
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``580149
otaylorRep`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``580244
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``580362
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
otaylor`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``580543
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``0
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otensorMap`2`n`(Stream(R),(R)->List(R))->Stream(R)`pStreamTensor(R)``580684
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``0
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``0
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``0
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``0
otensor`1`n`(List(B))->_$`dTensorPower(n,R,B,M)``0
otensor`1`n`(List(M))->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`1`x`(List(M))->_$`cTensorPowerCategory(n,R,M)``580860
otensor`2`n`(M,M)->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`2`n`(_$,_$)->_$`dOutputForm``580963
otensor`2`x`(M,N)->_$`cTensorProductCategory(R,M,N)``581028
oterms`1`x`(_$)->List(Record(coef:R,monom:M))`cMonoidRingCategory(R,M)``0
oterms`1`x`(_$)->List(Record(gen:S,exp:E))`cFreeAbelianMonoidCategory(S,E)``581125
oterms`1`x`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``0
otestAbsolutePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`581214
otestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`581394
otestComplexEquals`2`n`(String,String)->Void`pUnittest``581627
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``0
otestEqualsAuxCmp`2`n`(R,R)->Boolean`pUnittestAux(R)``581849
otestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``581915
otestEquals`2`n`(String,String)->Void`pUnittest``582206
otestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``582482
otestLibraryError`1`n`(String)->Void`pUnittest``582602
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``0
otestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``582721
otestNotEquals`2`n`(String,String)->Void`pUnittest``582834
otestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`582933
otestRealEquals`2`n`(String,String)->Void`pUnittest``583163
otestRelativePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`583379
otestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``583559
otestTrue`1`n`(String)->Void`pUnittest``583634
otest`1`x`(_$)->Boolean`dBoolean``583698
otestcaseNoClear`1`n`(String)->Void`pUnittestCount``583794
otestcase`1`n`(String)->Void`pUnittestCount``583953
otestsuiteNoClear`1`n`(String)->Void`pUnittestCount``584098
otestsuite`1`n`(String)->Void`pUnittestCount``584261
otex`1`x`(_$)->List(String)`dTexFormat``0
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``0
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``584413
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``0
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``0
otitle`1`x`(String)->_$`dDrawOption``584536
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``584678
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``0
otitle`2`x`(_$,String)->Void`dThreeDimensionalViewport``0
otoScale`1`x`(Boolean)->_$`dDrawOption``584882
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``585112
otoTable`1`x`((_$)->_$)->Matrix(_$)`dCliffordAlgebra(n,K,bLin)``585320
otoTable`1`x`((_$,_$)->_$)->Matrix(_$)`dCliffordAlgebra(n,K,bLin)``585485
oto_mod_pa`2`n`(SparseUnivariatePolynomial(Integer),Integer)->U32Vector`pU32VectorPolynomialOperations``0
otop!`1`x`(_$)->S`cDequeueAggregate(S)``585774
otopFortranOutputStack`0`n`()->String`pFortranOutputStackPackage``585851
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``0
otop`1`x`(_$)->S`cStackAggregate(S)``585941
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``0
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``0
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``0
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``0
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``0
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`x`(_$)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``586119
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`2`x`(_$,List(VarSet))->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``586223
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``0
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``0
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``0
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``0
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``0
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``0
otrace2PowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``0
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``586366
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``586535
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(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``586704
otracePowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``0
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``586818
otrace`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``586962
otrace`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``587072
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``0
otrace`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`587209
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``587502
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``587550
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(_$)->Boolean`cExtensionField(F)``587678
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``0
otranslate`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``587802
otranslate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``0
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``0
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(_$)->_$`dSquareMatrix(ndim,R)``587912
otranspose`1`x`(Row)->_$`cMatrixCategory(R,Row,Col)``587985
otranspose`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``588055
otranspose`1`x`(_$)->_$`dCartesianTensor(minix,dim,R)``588128
otranspose`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``588381
otrapezoidal`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``0
otrapezoidalo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``0
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``0
otree`1`x`(List(S))->_$`dTree(S)``588677
otree`1`x`(S)->_$`dTree(S)``588752
otree`2`x`(S,List(_$))->_$`dTree(S)``588830
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`588921
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``0
otriangulate`2`n`(Matrix(F),Vector(F))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),g:Vector(F),eq:LO,rh:F)))`pSystemODESolver(F,LO)``0
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``0
otrigs2explogs`3`n`(FG,List(Kernel(FG)),List(Symbol))->FG`pInnerTrigonometricManipulations(R,F,FG)``0
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``589139
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``589268
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`x`(_$,Character)->_$`cStringAggregate``589397
otrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``589575
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``589764
otrueEqual`2`n`(_$,_$)->Boolean`dInnerAlgebraicNumber``589882
otrue`0`x`()->_$`dBoolean``589961
otrunc`2`x`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``590003
otrunc`2`x`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``590122
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(_$)->_$`cRealNumberSystem``590210
otruncate`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``590299
otruncate`3`x`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``590431
otruncated_mul_add`5`n`(U32Vector,U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``0
otruncated_multiplication`4`n`(U32Vector,U32Vector,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``0
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``590592
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``590738
otryTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``0
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``0
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``0
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``0
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``0
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``0
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``0
otubePoints`1`x`(PositiveInteger)->_$`dDrawOption``590932
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``591149
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``0
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``0
otubeRadius`1`x`(Float)->_$`dDrawOption``591363
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``591509
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``0
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``0
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``591723
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``0
otypeList`2`n`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``0
otypeLists`1`n`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``0
ounary?`1`x`(_$)->Boolean`dBasicOperator``591823
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``0
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``0
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``0
ouniform01`0`n`()->Float`pRandomFloatDistributions``591877
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``591917
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``591956
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``591995
ounion`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xSetAggregate&(A,S)``0
ounion`2`n`(List(Kernel(F)),List(Kernel(F)))->List(Kernel(F))`pIntegrationTools(R,F)``0
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``592038
ounion`2`x`(S,_$)->_$`cSetAggregate(S)``592108
ounion`2`x`(_$,S)->_$`cSetAggregate(S)``592307
ounion`2`x`(_$,_$)->_$`cSetAggregate(S)``592506
ounit?`1`n`(S)->Boolean`xIntegralDomain&(S)``0
ounit?`1`x`(_$)->Boolean`cIntegralDomain``592635
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`n`(S)->S`xIntegralDomain&(S)``0
ounitCanonical`1`x`(_$)->_$`cIntegralDomain``592727
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)`xField&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xIntegralDomain&(S)``0
ounitNormal`1`x`(_$)->Record(unit:_$,canonical:_$,associate:_$)`cIntegralDomain``592798
ounitNormalize`1`x`(_$)->_$`dFactored(R)``593110
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``593311
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``0
ounitVector`1`x`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`has(R,Ring)`593353
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`593447
ounit`1`x`(List(Float))->_$`dDrawOption``0
ounit`1`x`(_$)->R`dFactored(R)``593559
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``0
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``0
ounits`1`n`(_$)->List(Float)`dGraphImage``0
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``0
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``0
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``0
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``0
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial('x,Coef)`dUnivariateFormalPowerSeries(Coef)``0
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``0
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``0
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`0
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`0
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``0
ounivariate`1`x`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``593626
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``0
ounivariate`2`n`(S,Kernel(S))->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace&(S,R)``0
ounivariate`2`x`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``0
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``593893
ounivariate`2`x`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`0
ounivariate`2`x`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``594063
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``0
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``0
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``594269
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`594308
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``594404
ounparse`1`n`(_$)->String`dInputForm``594563
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``0
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``0
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``0
ounravel`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``594728
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``0
ounvectorise`1`n`(Vector(R))->UP`pGaloisGroupPolynomialUtilities(R,UP)``594851
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``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))`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,VarSet,Dpol)``0
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``0
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``594979
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``0
oupperCase!`1`x`(_$)->_$`cStringAggregate``595106
oupperCase?`1`x`(_$)->Boolean`dCharacter``595221
oupperCase`0`x`()->_$`dCharacterClass``595332
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(_$)->_$`cStringAggregate``595456
oupperCase`1`x`(_$)->_$`dCharacter``595537
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``595706
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``595835
ouseNagFunctions`0`n`()->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``596032
ouseNagFunctions`1`n`(Boolean)->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``596165
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``596372
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``596544
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``596764
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``596899
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``0
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``596975
ovalue`1`x`(_$)->Integer`dOrdSetInts``0
ovalue`1`x`(_$)->S`cRecursiveAggregate(S)``597046
ovalue`1`x`(_$)->String`dQueryEquation``597109
ovalues`0`n`()->NonNegativeInteger`pRecurrenceOperator(R,F)``597207
ovalues`1`n`(NonNegativeInteger)->NonNegativeInteger`pRecurrenceOperator(R,F)``597287
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``0
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``0
ovar1Steps`1`x`(PositiveInteger)->_$`dDrawOption``597364
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``597532
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``0
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``0
ovar2Steps`1`x`(PositiveInteger)->_$`dDrawOption``597744
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``597913
ovarList`1`n`(_$)->List(S)`dOrderedFreeMonoid(S)``598125
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``598193
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``598277
ovarList`1`n`(_$)->List(VarSet)`dMagma(VarSet)``598368
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``598459
ovarList`1`x`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``598563
ovarList`1`x`(_$)->List(vl)`cXFreeAlgebra(vl,R)``598654
ovariableName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``0
ovariableName`1`x`(Symbol)->_$`dGuessOption``598735
ovariable`0`n`()->Symbol`dVariable(sym)``598899
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``598943
ovariable`1`x`(_$)->S`cDifferentialVariableCategory(S)``599016
ovariable`1`x`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``599133
ovariable`1`x`(_$)->Symbol`dQueryEquation``599232
ovariable`1`x`(_$)->Symbol`dSegmentBinding(S)``599335
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``599538
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``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)``0
ovariables`1`n`(_$)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``0
ovariables`1`n`(_$)->List(_$)`dPattern(R)``599654
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``0
ovariables`1`x`(_$)->List(Symbol)`cFunctionSpace(R)``0
ovariables`1`x`(_$)->List(Var)`cPowerSeriesCategory(Coef,Expon,Var)``599743
ovariables`1`x`(_$)->List(VarSet)`cPolynomialCategory(R,E,VarSet)``599841
ovariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``599951
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``0
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``0
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``0
ovconcat`1`n`(List(_$))->_$`dOutputForm``600102
ovconcat`2`n`(_$,_$)->_$`dOutputForm``600179
ovector_add_mul`6`n`(U32Vector,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``0
ovector_combination`7`n`(U32Vector,Integer,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``0
ovector`1`n`(List(Complex(DoubleFloat)))->_$`dComplexDoubleFloatVector``600261
ovector`1`x`(List(R))->_$`dVector(R)``600325
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``600389
overtConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
overtConcat`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``600596
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``600826
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``0
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``0
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``0
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``0
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``0
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``0
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``0
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``0
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``0
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``0
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``0
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``0
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``0
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``0
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``0
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``0
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``0
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``0
oviewpoint`1`x`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``0
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``0
oviewpoint`2`x`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``0
oviewpoint`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``0
oviewpoint`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``0
oviewpoint`6`x`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``0
oviewpoint`6`x`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``0
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``600897
oviewport3D`0`x`()->_$`dThreeDimensionalViewport``601044
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``601195
ovoid`0`x`()->_$`dVoid``601237
ovspace`1`n`(Integer)->_$`dOutputForm``601282
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``601346
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``601525
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``601657
oweight`1`x`(_$)->NonNegativeInteger`dBasicOperator``601728
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(_$,NonNegativeInteger)->_$`dBasicOperator``601795
oweight`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``601868
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``602107
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``602147
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``602271
owhatInfinity`1`x`(_$)->SingleInteger`dOrderedCompletion(R)``602506
owhileLoop`2`n`(Switch,_$)->_$`dFortranCode``602641
owholePart`1`x`(_$)->Integer`cRealNumberSystem``602705
owholePart`1`x`(_$)->R`dContinuedFraction(R)``602769
owholePart`1`x`(_$)->R`dPartialFraction(R)``602972
owholePart`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`603057
owholeRadix`1`x`(List(Integer))->_$`dRadixExpansion(bb)``603210
owholeRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``603367
owidth`0`n`()->Integer`dOutputForm``603458
owidth`1`n`(_$)->Integer`dOutputForm``603532
owidth`1`x`(_$)->R`cIntervalCategory(R)``603604
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``603674
owordInGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``0
owordInStrongGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``0
owordsForStrongGenerators`1`x`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``0
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``0
owritable?`1`x`(_$)->Boolean`cFileNameCategory``603843
owrite!`2`x`(_$,S)->S`cFileCategory(Name,S)``603956
owriteLine!`1`x`(_$)->String`dTextFile``604134
owriteLine!`2`x`(_$,String)->String`dTextFile``604313
owriteObj`2`n`(SubSpace(3,DoubleFloat),String)->Void`pExport3D``604475
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``0
owrite`2`x`(_$,String)->String`dThreeDimensionalViewport``0
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``0
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``0
owrite`3`x`(_$,String,List(String))->String`dThreeDimensionalViewport``0
owrite`3`x`(_$,String,String)->String`dThreeDimensionalViewport``0
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``0
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``0
owrregime`2`n`(List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``0
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``0
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``0
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``0
oxftestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`604538
oxftestComplexEquals`2`n`(String,String)->Void`pUnittest``604585
oxftestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``604639
oxftestEquals`2`n`(String,String)->Void`pUnittest``604686
oxftestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``604733
oxftestLibraryError`1`n`(String)->Void`pUnittest``604780
oxftestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``604833
oxftestNotEquals`2`n`(String,String)->Void`pUnittest``604880
oxftestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`604930
oxftestRealEquals`2`n`(String,String)->Void`pUnittest``604977
oxftestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``605028
oxftestTrue`1`n`(String)->Void`pUnittest``605075
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``0
oxor`2`x`(_$,_$)->_$`cBitAggregate``605120
oxor`2`x`(_$,_$)->_$`dBoolean``605234
oxor`2`x`(_$,_$)->_$`dSingleInteger``605332
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``0
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``605444
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``0
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``0
oyellow`0`x`()->_$`dColor``605567
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``0
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``0
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``0
ozRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``0
ozag`2`n`(_$,_$)->_$`dOutputForm``605646
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``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`x`(_$)->Boolean`cAbelianMonoid``605746
ozero?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``605802
ozeroDim?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
ozeroDim?`2`x`(_$,List(VarSet))->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``0
ozeroDimPrimary?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``0
ozeroDimPrime?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``0
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``0
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``0
ozeroMatrix`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`0
ozeroMatrix`3`n`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``0
ozeroMatrix`3`n`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``605901
ozeroOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``606132
ozeroOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``606307
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``606538
ozeroOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``606746
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``606963
ozeroSetSplit`1`x`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``607334
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``0
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``0
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``0
ozeroSetSplit`2`x`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``607562
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``0
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``0
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``0
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``0
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``0
ozeroSquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``0
ozeroVector`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``0
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`608078
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``608142
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``608213
ozerosOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``608566
ozerosOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``608863
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``609198
ozerosOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``609549
ozeta`0`n`()->_$`dDirichletRing(Coef)``609904
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``0
ozoom`2`x`(_$,Float)->Void`dThreeDimensionalViewport``0
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``0
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``0
ozoom`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``0
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->_$`dOutputForm``609970
o~=`2`x`(_$,_$)->Boolean`cBasicType``610026
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`x`(_$)->_$`cLogic``610091
o~`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``610154
o~`1`x`(_$)->_$`dSingleInteger``610206
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`610298
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`610394
pAlgebraicFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`AF`610478
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`610552
pAlgebraicIntegrate`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)`INTALG`610587
pAlgebraicIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`610676
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`610790
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`610905
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`611116
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`611326
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`611413
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`611541
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`611665
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`611783
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`611852
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`611989
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`612105
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`612219
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`612831
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`612910
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`613017
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`613081
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`613178
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`613283
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`613729
pCombinatorialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`COMBF`613818
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`613883
pCommonOperators`0`n`()->etc``COMMONOP`614047
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`614253
pComplexFactorization`2`x`(RR:EuclideanDomain,PR:UnivariatePolynomialCategory(Complex(RR)))->etc`(RR,PR)`COMPFACT`614369
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`614601
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`614698
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`614824
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`614901
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`614973
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`0
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`615757
pConstantLODE`3`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`615891
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`615979
pCycleIndicators`0`x`()->etc``CYCLES`616237
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`616274
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`616342
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`616378
pDegreeReductionPackage`2`n`(Ring,R2:Join(Comparable,etc))->etc`(R1,R2)`DEGRED`616519
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`616555
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`617288
pDiscreteLogarithmPackage`1`n`(Join(Monoid,etc))->etc`(M)`DLP`617606
pDisplayPackage`0`x`()->etc``DISPLAY`617726
pDistinctDegreeFactorize`2`x`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`617831
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`618124
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`618225
pDrawComplex`0`x`()->etc``DRAWCX`0
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`618328
pDrawOptionFunctions0`0`n`()->etc``DROPT0`618746
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`618782
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`618818
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`619172
pElementaryFunctionLODESolver`3`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`619302
pElementaryFunctionODESolver`2`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`619482
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`619654
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`619769
pElementaryFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`620062
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`620124
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`620287
pElementaryRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEF`620493
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`620701
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`620799
pErrorFunctions`0`x`()->etc``ERROR`620875
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`622858
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`623733
pExport3D`0`n`()->etc``EXP3D`0
pExpressionFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`EXPR2`623906
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`624002
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`624183
pExpressionSpaceODESolver`2`x`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`624477
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`624534
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`624658
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`624748
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`624960
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`625265
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`625378
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`625652
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`625709
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`625871
pFiniteAbelianMonoidRingFunctions2`5`n`(E:OrderedAbelianMonoid,R1:Ring,A1:FiniteAbelianMonoidRing(R1,E),R2:Ring,A2:FiniteAbelianMonoidRing(R2,E))->etc`(E,R1,A1,R2,A2)`FAMR2`626016
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`626103
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`626230
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`626406
pFiniteFieldPolynomialPackage2`2`x`(Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`626647
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`626923
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`627090
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:FiniteLinearAggregate(S),R:Type,B:FiniteLinearAggregate(R))->etc`(S,A,R,B)`FLAGG2`627191
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`627503
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`627592
pFloatSpecialFunctions`0`x`()->etc``FSFUN`0
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`627896
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`628255
pFortranCodePackage1`0`n`()->etc``FCPAK1`628575
pFortranOutputStackPackage`0`n`()->etc``FOP`629199
pFortranPackage`0`n`()->etc``FORT`629246
pFractionFreeFastGaussianFractions`3`n`(D:Join(IntegralDomain,etc),V:FiniteAbelianMonoidRing(D,NonNegativeInteger),VF:FiniteAbelianMonoidRing(Fraction(D),NonNegativeInteger))->etc`(D,V,VF)`FFFGF`629312
pFractionFreeFastGaussian`2`n`(D:Join(IntegralDomain,etc),V:AbelianMonoidRing(D,NonNegativeInteger))->etc`(D,V)`FFFG`629421
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`629669
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`629830
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`630013
pFreeModuleFunctions2`4`x`(R:CommutativeRing,S:OrderedSet,M1:FreeModuleCategory(R,S),M2:Module(R))->etc`(R,S,M1,M2)`FM2`630280
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`630326
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`630386
pFunctionSpaceAssertions`2`x`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`630789
pFunctionSpaceAttachPredicates`3`x`(R:Comparable,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`630907
pFunctionSpaceComplexIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`631025
pFunctionSpaceFunctions2`4`x`(R:Join(Ring,etc),A:FunctionSpace(R),S:Join(Ring,etc),B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`631154
pFunctionSpaceIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`631316
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`631435
pFunctionSpaceReduce`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`631543
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`631748
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`631795
pFunctionSpaceToUnivariatePowerSeries`6`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:OrderedRing,UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),Symbol)->etc`(R,FE,Expon,UPS,TRAN,x)`FS2UPS`631886
pFunctionSpaceUnivariatePolynomialFactor`3`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R),UP:UnivariatePolynomialCategory(F))->etc`(R,F,UP)`FSUPFACT`632311
pFunctionalSpecialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSPECF`632499
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`632563
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`632671
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`632752
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`632958
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`633032
pGcdBasis`1`n`(Join(GcdDomain,etc))->etc`(R)`GCDBAS`633102
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`633247
pGenUFactorize`1`n`(EuclideanDomain)->etc`(R)`GENUFACT`633827
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`634046
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`634184
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`634267
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`GENUPS`634430
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`634579
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`634953
pGraphicsDefaults`0`x`()->etc``GRDEF`634997
pGrayCode`0`n`()->etc``GRAY`635091
pGroebnerFactorizationPackage`4`x`(Dom:Join(EuclideanDomain,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`635232
pGroebnerInternalPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBINTERN`636287
pGroebnerPackage`4`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GB`636441
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`637496
pGuessAlgebraicNumber`0`n`()->etc``GUESSAN`637774
pGuessFiniteFunctions`1`n`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF1`637846
pGuessFinite`1`x`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF`637929
pGuessInteger`0`x`()->etc``GUESSINT`638008
pGuessPolynomialFunctions`1`n`(Ring)->etc`(R)`GUESSP1`638078
pGuessPolynomialInteger`0`x`()->etc``GUESSPI`638159
pGuessPolynomial`1`x`(Ring)->etc`(R)`GUESSP`638249
pGuess`5`x`(F:Field,S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESS`638321
pHallBasis`0`x`()->etc``HB`638488
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`639062
pIdealDecompositionPackage`2`x`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`IDECOMP`639224
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`639534
pInfiniteProductCharacteristicZero`2`x`(Coef:Join(IntegralDomain,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`639608
pInfiniteProductFiniteField`4`x`(K:Join(Field,etc),UP:UnivariatePolynomialCategory(K),Coef:MonogenicAlgebra(K,UP),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(K,UP,Coef,UTS)`INPRODFF`639728
pInfiniteProductPrimeField`2`x`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INPRODPF`639835
pInfiniteTupleFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ITFUN2`639939
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`640001
pInfinity`0`x`()->etc``INFINITY`640063
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`640174
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(R),B:FiniteLinearAggregate(Q))->etc`(R,Q,A,B)`ICDEN`640314
pInnerMatrixLinearAlgebraFunctions`4`n`(R:Field,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`640483
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`640643
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`0
pInnerModularHermitePade`0`n`()->etc``IMODHP`0
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`640907
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`641177
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`641324
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`641495
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`642095
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`642160
pInnerTrigonometricManipulations`3`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`642201
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`642385
pIntegerBits`0`n`()->etc``INTBIT`642428
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`0
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`642494
pIntegerLinearDependence`1`x`(LinearlyExplicitRingOver(Integer))->etc`(R)`ZLINDEP`642873
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`642926
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`643007
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`643214
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`643329
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`643454
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`643636
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`643802
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`643919
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`644085
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`644392
pIntegrationTools`2`n`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`644594
pInternalPrintPackage`0`n`()->etc``IPRNTPK`644773
pInternalRationalUnivariateRepresentationPackage`5`n`(R:Join(EuclideanDomain,etc),E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`IRURPK`644846
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`645396
pIrrRepSymNatPackage`0`x`()->etc``IRSN`645456
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`646033
pKernelFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`KERNEL2`646177
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`646241
pLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`646400
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`646460
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:EuclideanDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`647332
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`647715
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`648581
pLinearDependence`2`n`(S:IntegralDomain,R:LinearlyExplicitRingOver(S))->etc`(S,R)`LINDEP`648909
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`648944
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`649115
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`649249
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`649505
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`649798
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`649873
pLiouvillianFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`649967
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`650043
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`650191
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`650341
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`650758
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`650891
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`650925
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`651310
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`651701
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`651937
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`651998
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`652226
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`652290
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`652426
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`652487
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`652523
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`652559
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`652595
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`652631
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`652667
pMatrixCategoryFunctions2`8`x`(R1:Ring,Row1:FiniteLinearAggregate(R1),Col1:FiniteLinearAggregate(R1),M1:MatrixCategory(R1,Row1,Col1),R2:Ring,Row2:FiniteLinearAggregate(R2),Col2:FiniteLinearAggregate(R2),M2:MatrixCategory(R2,Row2,Col2))->etc`(R1,Row1,Col1,M1,R2,Row2,Col2,M2)`MATCAT2`652703
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`652856
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`653009
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`653116
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`653168
pModularDistinctDegreeFactorizer`1`x`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`653335
pModularHermitePadeSolver`2`n`(CommutativeRing,S:CommutativeRing)->etc`(F,S)`MODHPS`653565
pModularHermitePade`0`n`()->etc``MODHP`0
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`653658
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`653835
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`653967
pMoreSystemCommands`0`x`()->etc``MSYSCMD`654014
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`654281
pMultiVariableCalculusFunctions`4`n`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:FiniteLinearAggregate(S))->etc`(S,F,FLAF,FLAS)`MCALCFN`654362
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`654648
pMultiplicativeDependence`0`n`()->etc``MULDEP`0
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`654705
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`654868
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`655134
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`655527
pNaiveBeckermannLabahnModular`0`n`()->etc``NBLM`0
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`655804
pNewtonInterpolation`1`n`(IntegralDomain)->etc`(F)`NEWTON`656129
pNonCommutativeOperatorDivision`2`n`(MonogenicLinearOperator(F),Field)->etc`(P,F)`NCODIV`656263
pNonLinearFirstOrderODESolver`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`656574
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`656727
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`656960
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`657133
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`657249
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`657283
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`658051
pNumberFormats`0`n`()->etc``NUMFMT`658298
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`658450
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`658515
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`658786
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`658924
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`659158
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`659370
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`659470
pNumericalQuadrature`0`x`()->etc``NUMQUAD`664204
pODEIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`667617
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`667783
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`667848
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`668028
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`668186
pOpenMathPackage`0`x`()->etc``OMPKG`668290
pOpenMathServerPackage`0`x`()->etc``OMSERVER`668396
pOperationsQuery`0`x`()->etc``OPQUERY`668764
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`668846
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`668948
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`669077
pOutputPackage`0`x`()->etc``OUT`669153
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`669209
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`669758
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`670124
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`670481
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`670549
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`670589
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`670623
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`670657
pPartialFractionPackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`670691
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`670969
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`671133
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`671160
pPatternMatchAssertions`0`x`()->etc``PMASS`671191
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`671309
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`671385
pPatternMatchIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`671454
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(Comparable,etc))->etc`(S,E)`PMKERNEL`671649
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`671717
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`671783
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`671855
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`671932
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`672002
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`672049
pPatternMatchTools`3`n`(S:SetCategory,R:Join(Comparable,etc),P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`672117
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`672177
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`672248
pPermutationGroupExamples`0`x`()->etc``PGE`672344
pPiCoercions`1`x`(Join(Comparable,etc))->etc`(R)`PICOERCE`672749
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`672940
pPlotTools`0`n`()->etc``PLOTTOOL`673093
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`673136
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`673170
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`673204
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`673305
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`673435
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`673536
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`673617
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`674337
pPolynomialCategoryLifting`5`n`(E:OrderedAbelianMonoidSup,Vars:OrderedSet,R:Ring,P:PolynomialCategory(R,E,Vars),S:Join(SetCategory,etc))->etc`(E,Vars,R,P,S)`POLYLIFT`674457
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`674753
pPolynomialComposition`2`x`(UnivariatePolynomialCategory(R),Ring)->etc`(UP,R)`PCOMP`674876
pPolynomialDecomposition`2`x`(UnivariatePolynomialCategory(F),Field)->etc`(UP,F)`PDECOMP`674910
pPolynomialFactorizationByRecursionUnivariate`2`n`(R:PolynomialFactorizationExplicit,S:UnivariatePolynomialCategory(R))->etc`(R,S)`PFBRU`674944
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`675237
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`675452
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`0
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`675595
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`675648
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`675701
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`675795
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`675870
pPolynomialSolveByFormulas`2`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc))->etc`(UP,F)`SOLVEFOR`676159
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`676398
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`676828
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`677060
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`677305
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`677482
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`677634
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`677732
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`677962
pPrintPackage`0`x`()->etc``PRINT`678027
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`678091
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`678207
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`679256
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`679425
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`679518
pQuasiAlgebraicSet2`2`n`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`QALGSET2`679554
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`680808
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`681547
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`681744
pRadicalEigenPackage`0`x`()->etc``REP`681852
pRadicalSolvePackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`SOLVERAD`682133
pRadixUtilities`0`x`()->etc``RADUTIL`682305
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`682371
pRandomFloatDistributions`0`n`()->etc``RFDIST`0
pRandomIntegerDistributions`0`n`()->etc``RIDIST`682420
pRandomNumberSource`0`x`()->etc``RANDSRC`682470
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`0
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`682661
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`682787
pRationalFunctionFactorizer`1`x`(EuclideanDomain)->etc`(R)`RFFACTOR`682908
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`683194
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`683276
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`683329
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`683401
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`683445
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`683542
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`683623
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`683685
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`683835
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`683949
pRationalUnivariateRepresentationPackage`2`n`(Join(EuclideanDomain,etc),List(Symbol))->etc`(R,ls)`RURPK`684013
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`684449
pRealSolvePackage`0`n`()->etc``REALSOLV`684550
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`684667
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`684972
pRectangularMatrixCategoryFunctions2`10`x`(m:NonNegativeInteger,n:NonNegativeInteger,R1:Ring,Row1:DirectProductCategory(n,R1),Col1:DirectProductCategory(m,R1),M1:RectangularMatrixCategory(m,n,R1,Row1,Col1),R2:Ring,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`685276
pRecurrenceOperator`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`RECOP`685450
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`685632
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`685733
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`685882
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`686032
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`687536
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`688316
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`688370
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`688424
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`688939
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`689508
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`689606
pSAERationalFunctionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Polynomial(Integer))),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAERFFC`689757
pScriptFormulaFormat1`1`x`(SetCategory)->etc`(S)`FORMULA1`689891
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`690056
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`690158
pSimpleAlgebraicExtensionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Integer)),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAEFACT`690235
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`690381
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`690488
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`690594
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`690642
pSparsePolynomialCoercionHelpers`3`n`(Ring,VarSet1:OrderedSet,VarSet2:OrderedSet)->etc`(R,VarSet1,VarSet2)`SMPCOER`0
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`691204
pSpecialOutputPackage`0`x`()->etc``SPECOUT`691529
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`691644
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`692487
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`693910
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`694802
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`695101
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`695162
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`695224
pStreamInfiniteProduct`1`n`(Join(IntegralDomain,etc))->etc`(Coef)`STINPROD`695288
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`695467
pStreamTensor`1`n`(Type)->etc`(R)`STNSR`0
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`695612
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`695817
pStructuralConstantsPackage`1`x`(Field)->etc`(R)`SCPKG`695980
pSturmHabichtPackage`2`x`(OrderedIntegralDomain,x:Symbol)->etc`(R,x)`SHP`696167
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`696329
pSupFractionFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:GcdDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`SUPFRACF`696599
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`696803
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`696870
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`697076
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`0
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`697200
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`697399
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`697837
pTaylorSolve`3`n`(F:Field,UTSF:UnivariateTaylorSeriesCategory(F),UTSSMPF:UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(F,UTSF,UTSSMPF)`UTSSOL`0
pTemplateUtilities`0`n`()->etc``TEMUTL`697890
pTensorPowerFunctions2`5`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M1:FreeModuleCategory(R,B),M2:Module(R))->etc`(n,R,B,M1,M2)`TENSPO2`697955
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`698001
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`698145
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`698190
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`698309
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`698424
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`698552
pTopLevelThreeSpace`0`x`()->etc``TOPSP`698647
pTransSolvePackageService`1`n`(Join(Comparable,etc))->etc`(R)`SOLVESER`698721
pTransSolvePackage`1`x`(Join(Comparable,etc))->etc`(R)`SOLVETRA`699275
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`700121
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`700172
pTranscendentalManipulations`2`x`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`700263
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`700388
pTranscendentalRischDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETR`700557
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`700713
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`701188
pTubePlotTools`0`n`()->etc``TUBETOOL`701339
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`701415
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`701528
pU32VectorPolynomialOperations`0`n`()->etc``POLYVEC`701695
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`702036
pUnittestAux`1`n`(BasicType)->etc`(R)`TESTAUX`702165
pUnittestCount`0`n`()->etc``TESTCNT`702305
pUnittest`0`n`()->etc``TESTUNIT`702586
pUnivariateFactorize`1`n`(UnivariatePolynomialCategory(Integer))->etc`(ZP)`UNIFACT`702812
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`702989
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Ring,PR:UnivariatePolynomialCategory(R),S:Ring,PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`703166
pUnivariatePolynomialCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`703309
pUnivariatePolynomialDecompositionPackage`2`n`(R:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`703501
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`703686
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`703832
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`704175
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`704466
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`705141
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`705291
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`705419
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`705595
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`705746
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`705823
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`705889
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`706122
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`706427
pViewportPackage`0`n`()->etc``VIEW`706515
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`706641
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`707222
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`707584
pZeroDimensionalSolvePackage`3`x`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`707761
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`709085
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`709213
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`709334
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`709912
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`710065
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`710585
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`710678
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),Join(Comparable,etc))->etc`(S,R)`ACFS-`710724
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`710779
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`710836
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`711064
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`711182
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`711322
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`711537
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`711636
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`712072
xDictionary&`2`n`(Dictionary(S),S:SetCategory)->etc`(A,S)`DIAGG-`712159
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:SetCategory)->etc`(A,S)`DIOPS-`712479
xDifferentialExtension&`2`n`(DifferentialExtension(R),R:Ring)->etc`(S,R)`DIFEXT-`712609
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`712737
xDifferentialRing&`1`n`(DifferentialRing)->etc`(S)`DIFRING-`714063
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`714175
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`716557
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`716614
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`716783
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:SetCategory,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`716829
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`717190
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`717580
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`717737
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`717814
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`718221
xField&`1`n`(Field)->etc`(S)`FIELD-`718309
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`718531
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`718773
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`719003
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`719174
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-`720698
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`720928
xFiniteLinearAggregate&`2`n`(FiniteLinearAggregate(S),S:Type)->etc`(A,S)`FLAGG-`720988
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`721232
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`721354
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`721505
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`721708
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`722742
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`722855
xFreeModuleCategory&`3`n`(FreeModuleCategory(R,S),Ring,S:OrderedSet)->etc`(A,R,S)`FMCAT-`723133
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`724152
xFullyLinearlyExplicitRingOver&`2`n`(FullyLinearlyExplicitRingOver(R),R:Ring)->etc`(S,R)`FLINEXP-`724274
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`724505
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`724954
xFunctionSpace&`2`n`(FunctionSpace(R),R:Comparable)->etc`(S,R)`FS-`725037
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`725116
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`725423
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`725777
xGroup&`1`n`(Group)->etc`(S)`GROUP-`726327
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`726439
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`726978
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:SetCategory,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`727038
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`727297
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`727622
xIntegralDomain&`1`n`(IntegralDomain)->etc`(S)`INTDOM-`727688
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`KDAGG-`728017
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`728126
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`728440
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`728505
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`728723
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`729352
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`729618
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`729806
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:Ring,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`729902
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`730518
xMonad&`1`n`(Monad)->etc`(S)`MONAD-`730585
xMonadWithUnit&`1`n`(MonadWithUnit)->etc`(S)`MONADWU-`730691
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`731153
xMonoid&`1`n`(Monoid)->etc`(S)`MONOID-`731263
xMultivariateTaylorSeriesCategory&`3`n`(MultivariateTaylorSeriesCategory(Coef,Var),Coef:Ring,Var:OrderedSet)->etc`(S,Coef,Var)`MTSCAT-`731389
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`731497
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NASRING-`731693
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`731839
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`732196
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`732418
xOrderedRing&`1`n`(OrderedRing)->etc`(S)`ORDRING-`733225
xOrderedSet&`1`n`(OrderedSet)->etc`(S)`ORDSET-`733359
xPartialDifferentialRing&`2`n`(PartialDifferentialRing(S),S:SetCategory)->etc`(A,S)`PDRING-`733678
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`733784
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`733954
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-`734257
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`734871
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`734996
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`735134
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`735226
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`735297
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`735392
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`735687
xRectangularMatrixCategory&`6`n`(RectangularMatrixCategory(m,n,R,Row,Col),m:NonNegativeInteger,n:NonNegativeInteger,R:Ring,Row:DirectProductCategory(n,R),Col:DirectProductCategory(m,R))->etc`(S,m,n,R,Row,Col)`RMATCAT-`735798
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`736027
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`736479
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-`736958
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`739862
xRing&`1`n`(Ring)->etc`(S)`RING-`740037
xSemiGroup&`1`n`(SemiGroup)->etc`(S)`SGROUP-`740135
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`740265
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`740591
xSquareMatrixCategory&`5`n`(SquareMatrixCategory(ndim,R,Row,Col),ndim:NonNegativeInteger,R:Ring,Row:DirectProductCategory(ndim,R),Col:DirectProductCategory(ndim,R))->etc`(S,ndim,R,Row,Col)`SMATCAT-`740863
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`741119
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`741490
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`TBAGG-`741594
xTensorPowerCategory&`4`n`(TensorPowerCategory(n,R,M),NonNegativeInteger,R:CommutativeRing,M:Module(R))->etc`(S,n,R,M)`TENSPC-`741715
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`741783
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-`741844
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`743282
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`ARR2CAT-`743331
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`743886
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`744424
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`744597
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Ring)->etc`(S,R)`UPOLYC-`744892
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`745040
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`745387
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`745686
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`746069
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`746168
xVectorSpace&`2`n`(VectorSpace(S),S:Field)->etc`(A,S)`VSPACE-`746588
