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aJacobiIdentity`0`n``cLieAlgebra``0
aNullSquare`0`n``cAttributeRegistry``0
aNullSquare`0`n``cLieAlgebra``0
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aapproximate`0`n``cIntervalCategory``0
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acanonicalUnitNormal`0`n``cField``578
acanonicalUnitNormal`0`n``cIntegerNumberSystem``0
acanonicalUnitNormal`0`n``cPolynomialCategory`has(R,ATTRIBUTE(canonicalUnitNormal))`597
acanonicalUnitNormal`0`n``dPolynomialRing`has(R,ATTRIBUTE(canonicalUnitNormal))`752
acanonicalUnitNormal`0`n``dSymmetricPolynomial`has(R,ATTRIBUTE(canonicalUnitNormal))`0
acanonicalUnitNormal`0`n``dXPolynomialRing`has(R,ATTRIBUTE(canonicalUnitNormal))`898
acanonical`0`n``cAttributeRegistry``1044
acanonical`0`n``dFourierSeries`AND(has(R,ATTRIBUTE(canonical)),has(E,ATTRIBUTE(canonical)))`0
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acanonical`0`n``dInteger``1401
acanonical`0`n``dRomanNumeral``1456
acanonical`0`n``dSingleInteger``1511
acanonicalsClosed`0`n``cAttributeRegistry``1605
acanonicalsClosed`0`n``cField``1715
acanonicalsClosed`0`n``dInteger``1755
acanonicalsClosed`0`n``dRomanNumeral``1801
acanonicalsClosed`0`n``dSingleInteger``1847
acentral`0`n``cAttributeRegistry``1922
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acommutative`1`n`("*")`dCardinalNumber``2510
acommutative`1`n`("*")`dNonNegativeInteger``2629
acommutative`1`n`("*")`dPositiveInteger``2714
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afiniteAggregate`0`n``cBinaryTreeCategory``2933
afiniteAggregate`0`n``cDirectProductCategory``2986
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afiniteAggregate`0`n``cFiniteSetAggregate``0
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afiniteAggregate`0`n``cPolynomialSetCategory``0
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afiniteAggregate`0`n``cStackAggregate``0
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afiniteAggregate`0`n``cTwoDimensionalArrayCategory``3091
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afiniteAggregate`0`n``dBinarySearchTree``0
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afiniteAggregate`0`n``dEqTable``0
afiniteAggregate`0`n``dGeneralPolynomialSet``0
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afiniteAggregate`0`n``dInnerTable``0
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afiniteAggregate`0`n``dListMultiDictionary``0
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afiniteAggregate`0`n``dSplittingTree``0
afiniteAggregate`0`n``dStringTable``0
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afiniteAggregate`0`n``dTree``0
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anoetherian`0`n``dSingleInteger``3800
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cStreamAggregate`1`n`(Type)->Category`(S)`STAGG`53273
cStringAggregate`0`n`()->Category``SRAGG`53643
cTableAggregate`2`n`(SetCategory,SetCategory)->Category`(Key,Entry)`TBAGG`53746
cThreeSpaceCategory`1`n`(Ring)->Category`(R)`SPACEC`53866
cTranscendentalFunctionCategory`0`n`()->Category``TRANFUN`54058
cTriangularSetCategory`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`TSETCAT`54118
cTrigonometricFunctionCategory`0`n`()->Category``TRIGCAT`55538
cTwoDimensionalArrayCategory`3`n`(R:Type,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`ARR2CAT`55586
cType`0`n`()->Category``TYPE`56139
cUnaryRecursiveAggregate`1`n`(Type)->Category`(S)`URAGG`56167
cUnionType`0`n`()->Category``UTYPE`56703
cUniqueFactorizationDomain`0`n`()->Category``UFD`57018
cUnivariateLaurentSeriesCategory`1`n`(Ring)->Category`(Coef)`ULSCAT`57190
cUnivariateLaurentSeriesConstructorCategory`2`n`(Coef:Ring,UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,UTS)`ULSCCAT`57290
cUnivariatePolynomialCategory`1`n`(Ring)->Category`(R)`UPOLYC`57583
cUnivariatePowerSeriesCategory`2`n`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`UPSCAT`57730
cUnivariatePuiseuxSeriesCategory`1`n`(Ring)->Category`(Coef)`UPXSCAT`58076
cUnivariatePuiseuxSeriesConstructorCategory`2`n`(Coef:Ring,UnivariateLaurentSeriesCategory(Coef))->Category`(Coef,ULS)`UPXSCCA`58176
cUnivariateSkewPolynomialCategory`1`n`(Ring)->Category`(R)`OREPCAT`58472
cUnivariateTaylorSeriesCategory`1`n`(Ring)->Category`(Coef)`UTSCAT`58854
cVectorCategory`1`n`(Type)->Category`(R)`VECTCAT`58952
cVectorSpace`1`n`(Field)->Category`(S)`VSPACE`59371
cXAlgebra`1`n`(Ring)->Category`(R)`XALG`59442
cXFreeAlgebra`2`n`(OrderedSet,Ring)->Category`(vl,R)`XFALG`59694
cXPolynomialsCat`2`n`(OrderedSet,Ring)->Category`(vl,R)`XPOLYC`59800
dAddAst`0`n`()->Join(SpadSyntaxCategory,etc)``ADDAST`59964
dAlgebraGivenByStructuralConstants`4`n`(R:Field,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(R),etc)`(R,n,ls,gamma)`ALGSC`60027
dAlgebraicFunctionField`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),UPUP)->Join(FunctionFieldCategory(F,UP,UPUP),etc)`(F,UP,UPUP,modulus)`ALGFF`60482
dAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``AN`60550
dAnonymousFunction`0`n`()->Join(SetCategory,etc)``ANON`60621
dAntiSymm`2`n`(Ring,List(Symbol))->Join(LeftAlgebra(R),etc)`(R,lVar)`ANTISYM`60670
dAny`0`n`()->Join(SetCategory,etc)``ANY`60717
dArity`0`n`()->Join(SetCategory,etc)``ARITY`61273
dArrayStack`1`n`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`61568
dAssociatedJordanAlgebra`2`n`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`61615
dAssociatedLieAlgebra`2`n`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`62840
dAssociationList`2`n`(SetCategory,Entry:SetCategory)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`63894
dAttributeAst`0`n`()->Join(SpadSyntaxCategory,etc)``ATTRAST`64201
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`64297
dBalancedBinaryTree`1`n`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`64383
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`64732
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`64945
dBasicOperator`0`n`()->Join(OrderedSet,etc)``BOP`65151
dBinaryExpansion`0`n`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`65285
dBinaryOperation`1`n`(Type)->Join(BinaryOperatorCategory(T),etc)`(T)`BINOP`65375
dBinarySearchTree`1`n`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`65423
dBinaryTournament`1`n`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`65703
dBinaryTree`1`n`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`65994
dBinding`0`n`()->Join(CoercibleTo(OutputForm),etc)``BINDING`66220
dBits`0`n`()->Join(BitAggregate,etc)``BITS`66404
dBoolean`0`n`()->Join(OrderedFinite,etc)``BOOLEAN`66471
dByteBuffer`0`n`()->Join(OneDimensionalArrayAggregate(Byte),etc)``BYTEBUF`66578
dByteOrder`0`n`()->Join(SetCategory,etc)``BYTEORD`67343
dByte`0`n`()->Join(OrderedFinite,etc)``BYTE`67417
dCapsuleAst`0`n`()->Join(SpadSyntaxCategory,etc)``CAPSLAST`67484
dCardinalNumber`0`n`()->Join(OrderedSet,etc)``CARD`67549
dCartesianTensor`3`n`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`68954
dCaseAst`0`n`()->Join(SpadSyntaxCategory,etc)``CASEAST`69200
dCategoryAst`0`n`()->Join(SpadSyntaxCategory,etc)``CATAST`69250
dCategoryConstructor`0`n`()->Join(ConstructorCategory,etc)``CATCTOR`69355
dCategory`0`n`()->Join(CoercibleTo(OutputForm),etc)``CATEGORY`0
dCharacterClass`0`n`()->Join(SetCategory,etc)``CCLASS`69425
dCharacter`0`n`()->Join(OrderedFinite,etc)``CHAR`69515
dCliffordAlgebra`3`n`(n:PositiveInteger,K:Field,QuadraticForm(n,K))->Join(Ring,etc)`(n,K,Q)`CLIF`69573
dCoerceAst`0`n`()->Join(SpadSyntaxCategory,etc)``CRCEAST`70264
dCollectAst`0`n`()->Join(SpadSyntaxCategory,etc)``CLLCTAST`70315
dColonAst`0`n`()->Join(SpadSyntaxCategory,etc)``COLONAST`70371
dColor`0`n`()->Join(AbelianSemiGroup,etc)``COLOR`70466
dCommaAst`0`n`()->Join(SpadSyntaxCategory,etc)``COMMAAST`70576
dCommutator`0`n`()->Join(SetCategory,etc)``COMM`70672
dComplex`1`n`(CommutativeRing)->ComplexCategory(R)`(R)`COMPLEX`70707
dConstructAst`0`n`()->Join(SpadSyntaxCategory,etc)``LSTAST`70913
dConstructorCall`1`n`(ConstructorCategory)->Join(SetCategory,etc)`(C)`CTORCALL`0
dConstructorKind`0`n`()->Join(SetCategory,etc)``CTORKIND`70969
dConstructor`0`n`()->Join(ConstructorCategory,etc)``CTOR`71128
dContinuedFraction`1`n`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`71189
dContour`0`n`()->Join(CoercibleTo(OutputForm),etc)``CONTOUR`71780
dDataArray`2`n`(PositiveInteger,T:SetCategory)->Join(SetCategory,etc)`(N,T)`DATAARY`71958
dDataList`1`n`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`72028
dDatabase`1`n`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`72084
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`72191
dDecimalExpansion`0`n`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`72455
dDefinitionAst`0`n`()->Join(SpadSyntaxCategory,etc)``DEFAST`72546
dDenavitHartenbergMatrix`1`n`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`72603
dDequeue`1`n`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`72890
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`72936
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`73202
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`73288
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`73387
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`73996
dDomainConstructor`0`n`()->Join(ConstructorCategory,etc)``DOMCTOR`74359
dDomainTemplate`0`n`()->Join(SetCategory,etc)``DOMTMPLT`74428
dDomain`0`n`()->Join(SetCategory,etc)``DOMAIN`0
dDoubleFloat`0`n`()->Join(FloatingPointSystem,etc)``DFLOAT`74514
dDrawOption`0`n`()->Join(SetCategory,etc)``DROPT`76454
dDualBasis`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(vars)`DBASIS`76548
dElaboratedExpression`0`n`()->Join(CoercibleTo(OutputForm),etc)``ELABEXPR`76748
dElaboration`0`n`()->Join(CoercibleTo(OutputForm),etc)``ELABOR`0
dEnumeration`1`x`special`(a,b,...,c)`ENUM`76824
dEnvironment`0`n`()->Join(CoercibleTo(OutputForm),etc)``ENV`76979
dEqTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`77133
dEquation`1`n`(Type)->Join(Type,etc)`(S)`EQ`77298
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`77538
dExitAst`0`n`()->Join(SpadSyntaxCategory,etc)``EXITAST`77738
dExit`0`n`()->SetCategory``EXIT`77785
dExponentialExpansion`4`n`(R:Join(RetractableTo(Integer),etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(QuotientFieldCategory(UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)),etc)`(R,FE,var,cen)`EXPEXPAN`78072
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Field,var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`78365
dExpression`1`n`(SetCategory)->Join(FunctionSpace(R),etc)`(R)`EXPR`79146
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`79194
dFactored`1`n`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`80036
dFileName`0`n`()->FileNameCategory``FNAME`80874
dFile`1`n`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`80943
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`81077
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`81292
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`81892
dFiniteFieldCyclicGroup`2`n`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`82522
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`83178
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`83445
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`83737
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`84247
dFiniteFieldNormalBasis`2`n`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`84754
dFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`85250
dFlexibleArray`1`n`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`85442
dFloat`0`n`()->Join(FloatingPointSystem,etc)``FLOAT`0
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`86450
dFortranType`0`n`()->Join(SetCategory,etc)``FT`86590
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`86698
dFourierSeries`2`n`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`86907
dFraction`1`n`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`87103
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`87357
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`87402
dFreeAbelianGroup`1`n`(SetCategory)->Join(AbelianGroup,etc)`(S)`FAGROUP`87452
dFreeAbelianMonoid`1`n`(SetCategory)->FreeAbelianMonoidCategory(S,NonNegativeInteger)`(S)`FAMONOID`87672
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`87906
dFreeModule1`2`n`(Ring,S:OrderedSet)->Join(FreeModuleCat(R,S),etc)`(R,S)`FM1`88131
dFreeModule`2`n`(Ring,S:OrderedType)->Join(BiModule(R,R),etc)`(R,S)`FM`88552
dFreeMonoid`1`n`(SetCategory)->FreeMonoidCategory(S)`(S)`FMONOID`88757
dFreeNilpotentLie`3`n`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`88996
dFullPartialFractionExpansion`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`89136
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`89498
dFunctionDescriptor`0`n`()->Join(SetCategory,etc)``FUNDESC`89543
dFunctorData`0`n`()->Join(SetCategory,etc)``FCTRDATA`89711
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`89783
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`90344
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`90377
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:SetCategory,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`90413
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`90531
dGeneralUnivariatePowerSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`91198
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`91495
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`91661
dHasAst`0`n`()->Join(SpadSyntaxCategory,etc)``HASAST`91772
dHashTable`3`n`(SetCategory,Entry:SetCategory,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`91821
dHeadAst`0`n`()->Join(SpadSyntaxCategory,etc)``HEADAST`91980
dHeap`1`n`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`92037
dHexadecimalExpansion`0`n`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`92104
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dim,S)`(dim,S)`HDP`92199
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`92537
dHostname`0`n`()->Join(SetCategory,etc)``HOSTNAME`92946
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`93006
dIOMode`0`n`()->Join(SetCategory,etc)``IOMODE`93346
dIP4Address`0`n`()->Join(SetCategory,etc)``IP4ADDR`93455
dIdentifier`0`n`()->Join(SetCategory,etc)``IDENT`93537
dIfAst`0`n`()->Join(SpadSyntaxCategory,etc)``IFAST`93723
dImportAst`0`n`()->Join(SpadSyntaxCategory,etc)``IMPTAST`93785
dInAst`0`n`()->Join(SpadSyntaxCategory,etc)``INAST`93836
dIndexCard`0`n`()->Join(OrderedSet,etc)``ICARD`93891
dIndexedBits`1`n`(Integer)->BitAggregate`(mn)`IBITS`93985
dIndexedDirectProductAbelianGroup`2`n`(AbelianGroup,S:OrderedType)->Join(AbelianGroup,etc)`(A,S)`IDPAG`94083
dIndexedDirectProductAbelianMonoid`2`n`(AbelianMonoid,S:OrderedType)->Join(AbelianMonoid,etc)`(A,S)`IDPAM`94290
dIndexedDirectProductObject`2`n`(BasicType,S:OrderedType)->IndexedDirectProductCategory(A,S)`(A,S)`IDPO`94499
dIndexedDirectProductOrderedAbelianMonoidSup`2`n`(OrderedAbelianMonoidSup,S:OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(A,S)`IDPOAMS`94641
dIndexedDirectProductOrderedAbelianMonoid`2`n`(OrderedAbelianMonoid,S:OrderedType)->Join(OrderedAbelianMonoid,etc)`(A,S)`IDPOAM`94839
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`95073
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`95295
dIndexedMatrix`3`n`(Ring,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`96373
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`96844
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`96952
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`97524
dInetClientStreamSocket`0`n`()->Join(NetworkClientSocket(IP4Address),etc)``INETCLTS`0
dInfiniteTuple`1`n`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`97642
dInnerAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``IAN`97743
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`97792
dInnerFreeAbelianMonoid`3`n`(SetCategory,E:CancellationAbelianMonoid,E)->FreeAbelianMonoidCategory(S,E)`(S,E,un)`IFAMON`98020
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`98076
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`98219
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`98328
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`98531
dInnerTable`3`n`(Key:SetCategory,Entry:SetCategory,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`98658
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`98766
dInputBinaryFile`0`n`()->Join(InputByteConduit,etc)``INBFILE`99142
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm),etc)``INFORM`99299
dInputOutputBinaryFile`0`n`()->Join(InputOutputByteConduit,etc)``IOBFILE`99451
dInt16`0`n`()->Join(OrderedFinite,etc)``INT16`99622
dInt32`0`n`()->Join(OrderedFinite,etc)``INT32`99704
dInt64`0`n`()->Join(OrderedFinite,etc)``INT64`99786
dInt8`0`n`()->Join(OrderedFinite,etc)``INT8`99868
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`99949
dInteger`0`n`()->Join(IntegerNumberSystem,etc)``INT`100042
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`100120
dInternalRepresentationForm`0`n`()->Join(SetCategory,etc)``IRFORM`100626
dInternalTypeForm`0`n`()->Join(SetCategory,etc)``ITFORM`100739
dInterval`1`n`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`100806
dIsAst`0`n`()->Join(SpadSyntaxCategory,etc)``ISAST`101122
dJVMBytecode`0`n`()->Join(SetCategory,etc)``JVMBCODE`101171
dJVMClassFileAccess`0`n`()->Join(SetCategory,etc)``JVMCFACC`101221
dJVMConstantTag`0`n`()->Join(SetCategory,etc)``JVMCSTTG`101269
dJVMFieldAccess`0`n`()->Join(SetCategory,etc)``JVMFDACC`101310
dJVMMethodAccess`0`n`()->Join(SetCategory,etc)``JVMMDACC`101359
dJVMOpcode`0`n`()->Join(SetCategory,etc)``JVMOP`101409
dJoinAst`0`n`()->Join(SpadSyntaxCategory,etc)``JOINAST`101457
dKernel`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`KERNEL`101515
dKeyedAccessFile`1`n`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`101617
dKleeneTrivalentLogic`0`n`()->Join(PropositionalLogic,etc)``KTVLOGIC`101714
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`101782
dLetAst`0`n`()->Join(SpadSyntaxCategory,etc)``LETAST`101942
dLibrary`0`n`()->Join(TableAggregate(String,Any),etc)``LIB`101995
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`102060
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`102422
dLieSquareMatrix`2`n`(PositiveInteger,R:CommutativeRing)->Join(SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),etc)`(n,R)`LSQM`102607
dLinearBasis`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(vars)`LINBASIS`102954
dLinearElement`2`n`(Field,B:List(Symbol))->Join(VectorSpace(K),etc)`(K,B)`LINELT`103149
dLinearForm`2`n`(Field,B:List(Symbol))->Join(VectorSpace(K),etc)`(K,B)`LINFORM`103288
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`103424
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`103670
dLinearOrdinaryDifferentialOperator`2`n`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`103951
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`104207
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`0
dList`1`n`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`104378
dLiteral`1`n`(SetCategory)->Join(SpadSyntaxCategory,etc)`(T)`LITERAL`104595
dLocalAlgebra`3`n`(Algebra(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Algebra(R),etc)`(A,R,S)`LA`104647
dLocalize`3`n`(Module(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Module(R),etc)`(M,R,S)`LO`104787
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`104973
dMacroAst`0`n`()->Join(SpadSyntaxCategory,etc)``MACROAST`105832
dMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`MAGMA`105895
dMappingAst`0`n`()->Join(SpadSyntaxCategory,etc)``MAPPAST`106087
dMapping`1`x`special`(T,S)`MAPPING`106297
dMathMLFormat`0`n`()->Join(SetCategory,etc)``MMLFORM`106536
dMatrix`1`n`(Ring)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`106631
dMaybe`1`n`(CoercibleTo(OutputForm))->Join(UnionType,etc)`(T)`MAYBE`106732
dModMonic`2`n`(R:Ring,P:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,P)`MODMON`106849
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`106882
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`107104
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`107313
dModuleOperator`2`n`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`107346
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`107395
dMonoidOperation`1`n`(BasicType)->Join(MonoidOperatorCategory(T),etc)`(T)`MONOP`107518
dMonoidRing`2`n`(Ring,M:Monoid)->Join(Ring,etc)`(R,M)`MRING`107566
dMultiset`1`n`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`108518
dMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`108565
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`108887
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`109136
dNonNegativeInteger`0`n`()->Join(OrderedAbelianMonoidSup,etc)``NNI`109318
dNone`0`n`()->SetCategory``NONE`109414
dOctonion`1`n`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`109631
dOneDimensionalArray`1`n`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`110154
dOnePointCompletion`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`110213
dOperatorSignature`0`n`()->Join(OperatorCategory(Identifier),etc)``OPSIG`110317
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`110373
dOppositeMonogenicLinearOperator`2`n`(MonogenicLinearOperator(R),R:Ring)->Join(MonogenicLinearOperator(R),etc)`(P,R)`OMLO`110422
dOrdSetInts`0`n`()->Join(OrderedSet,etc)``OSI`110653
dOrderedCompletion`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`110946
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`111061
dOrderedFreeMonoid`1`n`(OrderedSet)->Join(FreeMonoidCategory(S),etc)`(S)`OFMONOID`111391
dOrderedStructure`2`n`(T:Type,(T,T)->Boolean)->Join(OrderedType,etc)`(T,f)`ORDSTRCT`111983
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`112107
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`112154
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`112460
dOrdinaryDifferentialRing`3`n`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`113148
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`113269
dOutputBinaryFile`0`n`()->Join(OutputByteConduit,etc)``OUTBFILE`113497
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`113655
dOverloadSet`0`n`()->Join(SetCategory,etc)``OVERSET`113917
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`114006
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`114191
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`114257
dPair`2`n`(Type,T:Type)->Join(Type,etc)`(S,T)`PAIR`114432
dPalette`0`n`()->Join(SetCategory,etc)``PALETTE`114597
dParameterAst`0`n`()->Join(SpadSyntaxCategory,etc)``PARAMAST`114665
dParametricPlaneCurve`1`n`(Type)->etc`(ComponentFunction)`PARPCURV`114856
dParametricSpaceCurve`1`n`(Type)->etc`(ComponentFunction)`PARSCURV`114949
dParametricSurface`1`n`(Type)->etc`(ComponentFunction)`PARSURF`115040
dPartialFraction`1`n`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`115124
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`115957
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`116189
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`116425
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`116646
dPendantTree`1`n`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`116693
dPermutationGroup`1`n`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`116828
dPermutation`1`n`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`117297
dPi`0`n`()->Join(Field,etc)``HACKPI`117790
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`0
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`118101
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`118437
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`118802
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`119130
dPolynomialIdeals`4`n`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`119186
dPolynomialRing`2`n`(Ring,E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`119694
dPolynomial`1`n`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`120058
dPortNumber`0`n`()->Join(SetCategory,etc)``PORTNUM`120347
dPositiveInteger`0`n`()->Join(OrderedAbelianSemiGroup,etc)``PI`120420
dPretendAst`0`n`()->Join(SpadSyntaxCategory,etc)``PRTDAST`120509
dPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`120561
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`120755
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`120893
dProperty`0`n`()->Join(CoercibleTo(OutputForm),etc)``PROPERTY`120940
dPropositionalFormula`1`n`(SetCategory)->Join(PropositionalLogic,etc)`(T)`PROPFRML`121101
dQuadraticForm`2`n`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`121222
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`121285
dQuasiquoteAst`0`n`()->Join(SpadSyntaxCategory,etc)``QQUTAST`123004
dQuaternion`1`n`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`123086
dQueryEquation`0`n`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`123389
dQueue`1`n`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`123442
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`123486
dRadixExpansion`1`n`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`123545
dRangeBinding`2`n`(SegmentCategory(T),Type)->Join(Type,etc)`(S,T)`RNGBIND`123690
dRealClosure`1`n`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`123822
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`123889
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Ring)->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`124125
dReduceAst`0`n`()->Join(SpadSyntaxCategory,etc)``RDUCEAST`124260
dReference`1`n`(Type)->Join(SetCategory,etc)`(S)`REF`124312
dRegularChain`2`n`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`124403
dRegularTriangularSet`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(RegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`REGSET`124618
dRepeatAst`0`n`()->Join(SpadSyntaxCategory,etc)``RPTAST`125049
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`125108
dRestrictAst`0`n`()->Join(SpadSyntaxCategory,etc)``RSTRCAST`125310
dReturnAst`0`n`()->Join(SpadSyntaxCategory,etc)``RETAST`125363
dRewriteRule`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`125414
dRightOpenIntervalRootCharacterization`2`n`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`125589
dRomanNumeral`0`n`()->Join(IntegerNumberSystem,etc)``ROMAN`125686
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`125792
dRuleset`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`125833
dRuntimeValue`0`n`()->Join(Type,etc)``RTVALUE`125902
dSExpressionOf`5`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory,Expr:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt,Expr)`(Str,Sym,Int,Flt,Expr)`SEXOF`125998
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm)``SEX`126084
dScope`0`n`()->Join(CoercibleTo(OutputForm),etc)``SCOPE`126152
dSegmentAst`0`n`()->Join(SpadSyntaxCategory,etc)``SEGAST`126307
dSegmentBinding`1`n`(Type)->Join(Type,etc)`(S)`SEGBIND`126358
dSegment`1`n`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`126513
dSemiGroupOperation`1`n`(BasicType)->Join(SemiGroupOperatorCategory(T),etc)`(T)`SGPOP`126586
dSequenceAst`0`n`()->Join(SpadSyntaxCategory,etc)``SEQAST`126637
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`126690
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`126947
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`127622
dSet`1`n`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`127736
dSignatureAst`0`n`()->Join(SpadSyntaxCategory,etc)``SIGAST`128790
dSignature`0`n`()->Join(SetCategory,etc)``SIG`129006
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->MonogenicAlgebra(R,UP)`(R,UP,M)`SAE`129225
dSingleInteger`0`n`()->Join(IntegerNumberSystem,etc)``SINT`129804
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`129875
dSpadAst`0`n`()->SpadAstExports``SPADAST`129963
dSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`130218
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`130566
dSparseTable`3`n`(SetCategory,Ent:SetCategory,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`130851
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`130969
dSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`131529
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`131903
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`132474
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`132636
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`133217
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`133691
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`134314
dSquareFreeRegularTriangularSet`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(SquareFreeRegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`SREGSET`135356
dSquareMatrix`2`n`(NonNegativeInteger,R:Ring)->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`135834
dStack`1`n`(Type)->Join(StackAggregate(S),etc)`(S)`STACK`135980
dStepAst`0`n`()->Join(SpadSyntaxCategory,etc)``STEPAST`136024
dStream`1`n`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`136096
dStringTable`1`n`(SetCategory)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`136266
dString`0`n`()->Join(StringAggregate,etc)``STRING`136377
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`136424
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`136490
dSuchThatAst`0`n`()->Join(SpadSyntaxCategory,etc)``SUCHTAST`136522
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`136579
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`136626
dSymbol`0`n`()->Join(OrderedSet,etc)``SYMBOL`136696
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`136730
dSyntax`0`n`()->Join(UnionType,etc)``SYNTAX`136780
dSystemInteger`1`n`(PositiveInteger)->Join(OrderedFinite,etc)`(N)`SYSINT`137642
dSystemNonNegativeInteger`1`n`(PositiveInteger)->Join(OrderedFinite,etc)`(N)`SYSNNI`138134
dSystemPointer`0`n`()->SetCategory``SYSPTR`138628
dTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`138689
dTableau`1`n`(SetCategory)->etc`(S)`TABLEAU`138913
dTaylorSeries`1`n`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`139056
dTermAlgebraOperator`1`n`(SetCategory)->Join(OperatorCategory(S),etc)`(S)`TALGOP`139187
dTexFormat`0`n`()->Join(SetCategory,etc)``TEX`139300
dTextFile`0`n`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`140010
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`140148
dThreeDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW3D`0
dThreeSpace`1`n`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`140298
dTree`1`n`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`140480
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`140642
dTuple`1`n`(Type)->Join(HomotopicTo(PrimitiveArray(S)),etc)`(S)`TUPLE`140789
dTwoDimensionalArray`1`n`(Type)->Join(TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R)),etc)`(R)`ARRAY2`140912
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`141030
dTypeAst`0`n`()->SpadSyntaxCategory``TYPEAST`141096
dUInt16`0`n`()->Join(OrderedFinite,etc)``UINT16`141137
dUInt32`0`n`()->Join(OrderedFinite,etc)``UINT32`141221
dUInt64`0`n`()->Join(OrderedFinite,etc)``UINT64`141305
dUInt8`0`n`()->Join(OrderedFinite,etc)``UINT8`141389
dUnion`1`x`special`(A,B,...,C)`union`141472
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`141620
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`141945
dUnivariatePolynomial`2`n`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`142492
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`142707
dUnivariatePuiseuxSeriesWithExponentialSingularity`4`n`(R:Join(RetractableTo(Integer),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`143035
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`143564
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`144122
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`144297
dUniversalSegment`1`n`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`144765
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`144882
dVector`1`n`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`144921
dVoid`0`n`()->Join(CoercibleTo(OutputForm),etc)``VOID`145048
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`145272
dWhereAst`0`n`()->Join(SpadSyntaxCategory,etc)``WHEREAST`145534
dWhileAst`0`n`()->Join(SpadSyntaxCategory,etc)``WHILEAST`145599
dWuWenTsunTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(TriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`WUTSET`145657
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(FreeModuleCat(R,OrderedFreeMonoid(vl)),etc)`(vl,R)`XDPOLY`146694
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`146898
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(Ring,etc)`(R,E)`XPR`147175
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`147476
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`147743
dYoungDiagram`0`n`()->Join(SetCategory,etc)``YDIAGRAM`147953
o#`1`n`(A)->NonNegativeInteger`xBinaryRecursiveAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xBinaryTreeCategory&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xCollection&(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`(_$)->Integer`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``148015
o#`1`n`(_$)->NonNegativeInteger`cAggregate`has(_$,ATTRIBUTE(finiteAggregate))`148062
o#`1`n`(_$)->NonNegativeInteger`dDomainTemplate``148121
o#`1`n`(_$)->NonNegativeInteger`dPartition``148191
o#`1`n`(_$)->NonNegativeInteger`dXPolynomialRing(R,E)``148264
o**`2`n`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``148323
o**`2`n`(BasicOperator,Integer)->_$`dModuleOperator(R,M)``148423
o**`2`n`(BasicOperator,Integer)->_$`dOperator(R)``0
o**`2`n`(F,F)->F`pCombinatorialFunction(R,F)``148456
o**`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`148508
o**`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``148579
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)->_$`dFreeGroup(S)``148696
o**`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,NonNegativeInteger)->S`xDivisionRing&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xGroup&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
o**`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xMonoid&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xRealClosedField&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o**`2`n`(S,NonNegativeInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,NonNegativeInteger)->_$`cFreeMonoidCategory(S)``148774
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)``148852
o**`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``148960
o**`2`n`(ULS,Fraction(Integer))->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`149068
o**`2`n`(UPXS,Fraction(Integer))->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`149150
o**`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``149233
o**`2`n`(_$,Coef)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`149303
o**`2`n`(_$,Fraction(Integer))->_$`cRadicalCategory``149524
o**`2`n`(_$,Integer)->_$`cDivisionRing``149610
o**`2`n`(_$,Integer)->_$`cGroup``149683
o**`2`n`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`149756
o**`2`n`(_$,Integer)->_$`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`149903
o**`2`n`(_$,Integer)->_$`dInputForm``150012
o**`2`n`(_$,Integer)->_$`dModuleOperator(R,M)``150087
o**`2`n`(_$,Integer)->_$`dOperator(R)``0
o**`2`n`(_$,NonNegativeInteger)->_$`cFunctionSpace(R)`has(R,SemiGroup)`150120
o**`2`n`(_$,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``150212
o**`2`n`(_$,NonNegativeInteger)->_$`cMonadWithUnit``150331
o**`2`n`(_$,NonNegativeInteger)->_$`cMonoid``150431
o**`2`n`(_$,NonNegativeInteger)->_$`dInputForm``150542
o**`2`n`(_$,NonNegativeInteger)->_$`dPattern(R)``150617
o**`2`n`(_$,NonNegativeInteger)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``150672
o**`2`n`(_$,PositiveInteger)->_$`cMonad``150743
o**`2`n`(_$,PositiveInteger)->_$`cSemiGroup``150843
o**`2`n`(_$,_$)->_$`cElementaryFunctionCategory``150954
o**`2`n`(_$,_$)->_$`dCardinalNumber``151012
o**`2`n`(_$,_$)->_$`dDoubleFloat``151122
o**`2`n`(_$,_$)->_$`dFloat``151215
o**`2`n`(_$,_$)->_$`dOutputForm``151285
o**`2`n`(_$,_$)->_$`dPattern(R)``151340
o*`2`n`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``151395
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``151481
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``151617
o*`2`n`(DoubleFloat,_$)->_$`dColor``151803
o*`2`n`(E,S)->_$`cFreeAbelianMonoidCategory(S,E)``151905
o*`2`n`(Fraction(Integer),S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Fraction(Integer),S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xDivisionRing&(S)``0
o*`2`n`(Fraction(Integer),S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Fraction(Integer),S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xAbelianGroup&(S)``0
o*`2`n`(Integer,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Integer,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xDivisionRing&(S)``0
o*`2`n`(Integer,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Integer,S)->S`xModule&(S,R)``0
o*`2`n`(Integer,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Integer,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(Integer,_$)->_$`cMatrixCategory(R,Row,Col)``151957
o*`2`n`(Integer,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`152000
o*`2`n`(NonNegativeInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(NonNegativeInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xModule&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(NonNegativeInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,_$)->_$`cAbelianMonoid``152093
o*`2`n`(P,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``152161
o*`2`n`(PositiveInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianSemiGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(PositiveInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xModule&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(PositiveInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(PositiveInteger,_$)->_$`cAbelianSemiGroup``152192
o*`2`n`(PositiveInteger,_$)->_$`dColor``152352
o*`2`n`(R,Basis)->_$`cFreeModuleCat(R,Basis)``152454
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)``152516
o*`2`n`(R,_$)->_$`cGradedModule(R,E)``152612
o*`2`n`(R,_$)->_$`cMatrixCategory(R,Row,Col)``152660
o*`2`n`(R,_$)->_$`cVectorCategory(R)`has(R,Monoid)`152753
o*`2`n`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Row,_$)->Row`cMatrixCategory(R,Row,Col)``152849
o*`2`n`(Row,_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``152978
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,R)->_$`dFreeModule1(R,S)``153107
o*`2`n`(S,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,S)->S`xDivisionRing&(S)``0
o*`2`n`(S,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,_$)->_$`cFreeMonoidCategory(S)``153195
o*`2`n`(S,_$)->_$`cLeftLinearSet(S)``153271
o*`2`n`(S,_$)->_$`dEquation(S)`has(S,SemiGroup)`153334
o*`2`n`(S,_$)->_$`dFreeGroup(S)``153432
o*`2`n`(SMP,_$)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``153508
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``153573
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``153702
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``153871
o*`2`n`(_$,Col)->Col`cMatrixCategory(R,Row,Col)``153936
o*`2`n`(_$,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``154068
o*`2`n`(_$,Integer)->_$`dInnerTaylorSeries(Coef)``154200
o*`2`n`(_$,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``154282
o*`2`n`(_$,R)->_$`cGradedModule(R,E)``154347
o*`2`n`(_$,R)->_$`cMatrixCategory(R,Row,Col)``154396
o*`2`n`(_$,R)->_$`cVectorCategory(R)`has(R,Monoid)`154492
o*`2`n`(_$,R)->_$`cXFreeAlgebra(vl,R)``154585
o*`2`n`(_$,R)->_$`dXPolynomialRing(R,E)``154696
o*`2`n`(_$,S)->_$`cFreeMonoidCategory(S)``154758
o*`2`n`(_$,S)->_$`cRightLinearSet(S)``154835
o*`2`n`(_$,S)->_$`dEquation(S)`has(S,SemiGroup)`154899
o*`2`n`(_$,S)->_$`dFreeGroup(S)``154997
o*`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``155074
o*`2`n`(_$,_$)->_$`cMonad``155190
o*`2`n`(_$,_$)->_$`cSemiGroup``155281
o*`2`n`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``155344
o*`2`n`(_$,_$)->_$`dInputForm``155725
o*`2`n`(_$,_$)->_$`dMagma(VarSet)``155798
o*`2`n`(_$,_$)->_$`dOutputForm``155864
o*`2`n`(_$,_$)->_$`dPattern(R)``155918
o*`2`n`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``155971
o*`2`n`(vl,_$)->_$`cXFreeAlgebra(vl,R)``156045
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``156120
o+`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o+`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o+`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o+`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o+`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o+`2`n`(S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``156373
o+`2`n`(S,_$)->_$`dEquation(S)`has(S,AbelianSemiGroup)`156434
o+`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``156527
o+`2`n`(UP,_$)->_$`dFullPartialFractionExpansion(F,UP)``156655
o+`2`n`(_$,S)->_$`dEquation(S)`has(S,AbelianSemiGroup)`156715
o+`2`n`(_$,_$)->_$`cAbelianSemiGroup``156808
o+`2`n`(_$,_$)->_$`cGradedModule(R,E)``156868
o+`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``157048
o+`2`n`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianSemiGroup)`157160
o+`2`n`(_$,_$)->_$`dColor``157308
o+`2`n`(_$,_$)->_$`dDatabase(S)``157386
o+`2`n`(_$,_$)->_$`dInputForm``157464
o+`2`n`(_$,_$)->_$`dOutputForm``157537
o+`2`n`(_$,_$)->_$`dPattern(R)``157591
o+`2`n`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``157644
o-`1`n`(S)->S`xAbelianGroup&(S)``0
o-`1`n`(S)->S`xComplexCategory&(S,R)``0
o-`1`n`(S)->S`xGradedModule&(S,R,E)``0
o-`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`1`n`(S)->S`xOctonionCategory&(S,R)``0
o-`1`n`(S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`1`n`(S)->S`xQuaternionCategory&(S,R)``0
o-`1`n`(S)->S`xVectorCategory&(S,R)``0
o-`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``157729
o-`1`n`(_$)->_$`cAbelianGroup``157832
o-`1`n`(_$)->_$`cGradedModule(R,E)``157884
o-`1`n`(_$)->_$`cMatrixCategory(R,Row,Col)``157993
o-`1`n`(_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`158054
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o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``158170
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o-`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o-`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o-`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o-`2`n`(S,_$)->_$`dEquation(S)`has(S,AbelianGroup)`158426
o-`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``158526
o-`2`n`(_$,S)->_$`dEquation(S)`has(S,AbelianGroup)`158661
o-`2`n`(_$,_$)->Union(_$,"failed")`dCardinalNumber``158761
o-`2`n`(_$,_$)->_$`cAbelianGroup``158870
o-`2`n`(_$,_$)->_$`cGradedModule(R,E)``158965
o-`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``159152
o-`2`n`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`159271
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o/`2`n`(M,S)->_$`dLocalize(M,R,S)``159780
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o/`2`n`(S,R)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
o/`2`n`(S,R)->S`xLieAlgebra&(S,R)``0
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o/`2`n`(S,S)->_$`cQuotientFieldCategory(S)``159841
o/`2`n`(SparseMultivariatePolynomial(R,Kernel(_$)),SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`159915
o/`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``160003
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``160192
o/`2`n`(_$,Integer)->_$`dDoubleFloat``160253
o/`2`n`(_$,Integer)->_$`dFloat``160332
o/`2`n`(_$,R)->_$`cAbelianMonoidRing(R,E)`has(R,Field)`160411
o/`2`n`(_$,R)->_$`cLieAlgebra(R)`has(R,Field)`160474
o/`2`n`(_$,R)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`160554
o/`2`n`(_$,R)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,Field)`160641
o/`2`n`(_$,R)->_$`dXPolynomialRing(R,E)`has(R,Field)`160728
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o/`2`n`(_$,S)->_$`dLocalAlgebra(A,R,S)``160838
o/`2`n`(_$,S)->_$`dLocalize(M,R,S)``160899
o/`2`n`(_$,_$)->Union(_$,"failed")`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)`has(R,Field)`160960
o/`2`n`(_$,_$)->Union(_$,"failed")`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)`has(R,Field)`161066
o/`2`n`(_$,_$)->_$`cField``161172
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o0`0`n`()->S`xGradedAlgebra&(S,R,E)``0
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o0`0`n`()->_$`cGradedModule(R,E)``161685
o0`0`n`()->_$`dInputForm``161723
o0`0`n`()->_$`dPattern(R)``161781
o1`0`n`()->S`xGradedAlgebra&(S,R,E)``0
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o1`0`n`()->_$`cMonadWithUnit``161833
o1`0`n`()->_$`cMonoid``161883
o1`0`n`()->_$`dInputForm``161923
o1`0`n`()->_$`dPattern(R)``161981
o1`0`n`()->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``161989
o<=`2`n`(S,S)->Boolean`xOrderedType&(S)``0
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o<=`2`n`(_$,_$)->_$`dOutputForm``162330
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o<`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
o<`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o<`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
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o<`2`n`(_$,_$)->Boolean`cPermutationCategory(S)``162467
o<`2`n`(_$,_$)->Boolean`dPermutationGroup(S)``162621
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o=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xHomogeneousAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
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o=`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
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o=`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
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o=`2`n`(_$,_$)->Boolean`dFortranScalarType``162875
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o>`2`n`(S,S)->Boolean`xOrderedType&(S)``0
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oAleph`1`n`(NonNegativeInteger)->_$`dCardinalNumber``163313
oAn`1`n`(_$)->Vector(R)`dModMonic(R,P)``163382
oB1solve`1`n`(Record(mat:Matrix(Fraction(Polynomial(R))),vec:List(Fraction(Polynomial(R))),rank:NonNegativeInteger,rows:List(Integer),cols:List(Integer)))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``163415
oBY`2`n`(_$,Integer)->_$`cSegmentCategory(S)``164015
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``164113
oBeta`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``164205
oBeta`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``164465
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``164725
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``164807
oBeta`2`n`(_$,_$)->_$`cSpecialFunctionCategory``164844
oBeta`2`n`(_$,_$)->_$`dDoubleFloat``164909
oBumInSepFFE`1`n`(Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer))->Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer)`pUnivariatePolynomialSquareFree(RC,P)``164974
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``165088
oCi`1`n`(_$)->_$`cLiouvillianFunctionCategory``165135
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`n`()->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``165253
oD`1`n`(S)->S`xDifferentialSpace&(S)``0
oD`1`n`(S)->S`xDifferentialSpaceExtension&(S,R)``0
oD`1`n`(S)->T`xDifferentialDomain&(S,T)``0
oD`1`n`(_$)->T`cDifferentialDomain(T)``165344
oD`2`n`(A,List(S))->A`xPartialDifferentialSpace&(A,S)``0
oD`2`n`(A,S)->A`xPartialDifferentialSpace&(A,S)``0
oD`2`n`(A,S)->T`xPartialDifferentialDomain&(A,T,S)``0
oD`2`n`(S,(R)->R)->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(S,List(Symbol))->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialSpace&(S)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(S,Symbol)->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(_$,(R)->R)->_$`cDifferentialSpaceExtension(R)``165403
oD`2`n`(_$,List(S))->_$`cPartialDifferentialSpace(S)``165469
oD`2`n`(_$,NonNegativeInteger)->_$`cDifferentialSpace``165553
oD`2`n`(_$,S)->T`cPartialDifferentialDomain(T,S)``165629
oD`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialSpace&(A,S)``0
oD`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialSpace&(A,S)``0
oD`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`n`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialSpaceExtension(R)``165694
oD`3`n`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialSpace(S)``165764
oD`3`n`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialSpace(S)``165874
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``165944
oEi`1`n`(_$)->_$`cLiouvillianFunctionCategory``165996
oF2FG`1`n`(F)->FG`pInnerTrigonometricManipulations(R,F,FG)``166117
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``166175
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``166233
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``166267
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``166353
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``166436
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
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oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
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oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``166657
oGamma`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``166788
oGamma`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``166948
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``167108
oGamma`1`n`(_$)->_$`cSpecialFunctionCategory``167184
oGamma`1`n`(_$)->_$`dDoubleFloat``167235
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``167286
oGamma`2`n`(_$,_$)->_$`cSpecialFunctionCategory``167374
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``167432
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``167994
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``168114
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``168319
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``168743
oIs`2`n`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``168880
oIs`2`n`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`169008
oIs`2`n`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`169255
oIs`2`n`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`169502
oKrullNumber`2`n`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`n`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``169776
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``169891
oLazard2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``169947
oLazardQuotient2`4`n`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`170070
oLazardQuotient`3`n`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`170253
oLazard`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``170393
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``170486
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``170647
oLiePoly`1`n`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``170749
oListOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``170849
oListOfTerms`1`n`(_$)->List(Record(k:Basis,c:R))`cFreeModuleCat(R,Basis)``170943
oListOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``171121
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``171214
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``171423
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``171513
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``171612
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``171770
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``171911
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)``172006
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``172176
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``172286
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`172381
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``172442
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``172645
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``172915
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`n`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``173002
oSEGMENT`1`n`(S)->_$`dUniversalSegment(S)``173262
oSEGMENT`1`n`(_$)->_$`dOutputForm``173347
oSEGMENT`2`n`(S,S)->_$`cSegmentCategory(S)``173408
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``173489
oSFunction`1`n`(List(PositiveInteger))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``173552
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``173698
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``173782
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``173909
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``174102
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``174183
oSi`1`n`(_$)->_$`cLiouvillianFunctionCategory``174228
oSturmHabichtCoefficients`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(R)`pSturmHabichtPackage(R,x)``174344
oSturmHabichtMultiple`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`174466
oSturmHabichtSequence`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``174737
oSturmHabicht`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``174841
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``175104
oUP2ifCan`1`n`(UP)->Union(overq:SparseUnivariatePolynomial(Fraction(Integer)),overan:SparseUnivariatePolynomial(AlgebraicNumber),failed:Boolean)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``175165
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``175223
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,P)``175323
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``175365
oVectorise`1`n`(_$)->Vector(R)`dModMonic(R,P)``175573
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``175613
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``175680
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(S,S)->S`xLogic&(S)``0
o\/`2`n`(_$,_$)->_$`cLogic``175839
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``175917
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F)``175960
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``176000
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``176045
oabelianGroup`1`n`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``176092
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``176225
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`xOrderedAbelianGroup&(S)``0
oabs`1`n`(_$)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`176301
oabs`1`n`(_$)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`176429
oabs`1`n`(_$)->_$`cComplexCategory(R)`has(R,RealNumberSystem)`176516
oabs`1`n`(_$)->_$`cOrderedAbelianGroup``176599
oabs`1`n`(_$)->_$`cSpecialFunctionCategory``176659
oabsolutelyIrreducible?`0`n`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``176719
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``176800
oacosIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``176881
oacos`1`n`(F)->F`pElementaryFunction(R,F)``176969
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)``177038
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``177108
oacos`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``177178
oacos`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``177250
oacos`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``177324
oacoshIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``177381
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``177471
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)``177552
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``177643
oacosh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``177734
oacosh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``177822
oacosh`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``177912
oacotIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``177981
oacot`1`n`(F)->F`pElementaryFunction(R,F)``178069
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)``178141
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``178214
oacot`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``178287
oacot`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``178362
oacot`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``178439
oacothIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``178499
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``178589
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)``178673
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``178767
oacoth`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``178861
oacoth`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``178952
oacoth`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``179045
oacscIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``179117
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``179205
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)``179276
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``179348
oacsc`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``179420
oacsc`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``179494
oacsc`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``179570
oacschIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``179629
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``179719
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)``179802
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``179895
oacsch`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``179988
oacsch`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``180078
oacsch`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``180170
oadaptive3D?`0`n`()->Boolean`dPlot3D``180241
oadaptive?`0`n`()->Boolean`dPlot``180316
oadaptive`0`n`()->Boolean`pGraphicsDefaults``180388
oadaptive`1`n`(Boolean)->Boolean`pGraphicsDefaults``180465
oadaptive`1`n`(Boolean)->_$`dDrawOption``180573
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``180753
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``180960
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``181105
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``181256
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``181628
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``181865
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``182041
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``182328
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``182486
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``183257
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``183996
oaddmod`3`n`(_$,_$,_$)->_$`cIntegerNumberSystem``184223
oadjoint`1`n`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`184298
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`n`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``184473
oadjoint`1`n`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`184532
oadjoint`1`n`(_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`n`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`184604
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oairyAi`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``184720
oairyAi`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``184875
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``185030
oairyAi`1`n`(_$)->_$`cSpecialFunctionCategory``185101
oairyBi`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``185159
oairyBi`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``185314
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``185469
oairyBi`1`n`(_$)->_$`cSpecialFunctionCategory``185540
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``185598
oalgSplitSimple`2`n`(S,(UP)->UP)->Record(num:S,den:UP,derivden:UP,gd:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oalgSplitSimple`2`n`(_$,(UP)->UP)->Record(num:_$,den:UP,derivden:UP,gd:UP)`cFunctionFieldCategory(F,UP,UPUP)``185909
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`n`(_$)->Boolean`cExtensionField(F)``186220
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`n`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``186337
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``186473
oalgebraicDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`n`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicOf`2`n`(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),OutputForm)->_$`dRealClosure(TheField)``186656
oalgebraicSort`1`n`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``186711
oalgebraicSort`1`n`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``186845
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`n`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``186978
oalgint`4`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``187108
oalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``187283
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(_$)`cRealClosedField``187376
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(_$)`cRealClosedField``187464
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(_$))->List(_$)`cRealClosedField``187552
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``187640
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``187728
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``187816
oallRootsOf`1`n`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``187904
oalphabetic?`1`n`(_$)->Boolean`dCharacter``188012
oalphabetic`0`n`()->_$`dCharacterClass``188126
oalphanumeric?`1`n`(_$)->Boolean`dCharacter``188251
oalphanumeric`0`n`()->_$`dCharacterClass``188392
oalternatingGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``188521
oalternatingGroup`1`n`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``188970
oalternating`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``189332
oalternative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``189437
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``189667
oand`2`n`(S,S)->S`xBooleanLogic&(S)``0
oand`2`n`(_$,_$)->_$`cBooleanLogic``189897
oand`2`n`(_$,_$)->_$`dOutputForm``189968
oanfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(AlgebraicNumber)),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)`has(F,RetractableTo(AlgebraicNumber))`190024
oantiAssociative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``190132
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``190324
oantiCommutative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``190517
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``190678
oantiCommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
oantiCommutator`2`n`(_$,_$)->_$`cNonAssociativeRng``190839
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``190897
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`n`(_$)->Boolean`cMatrixCategory(R,Row,Col)``190935
oantisymmetric?`1`n`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``191140
oantisymmetricTensors`2`n`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`191345
oantisymmetricTensors`2`n`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`191909
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`xCollection&(A,S)``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`n`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`192491
oany`2`n`(SExpression,None)->_$`dAny``192733
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``192923
oappend`2`n`(_$,_$)->_$`dList(S)``193103
oapplyQuote`2`n`(Symbol,List(S))->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`n`(Symbol,List(_$))->_$`cFunctionSpace(R)``193259
oapplyQuote`2`n`(Symbol,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`n`(Symbol,_$)->_$`cFunctionSpace(R)``193334
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`n`(Symbol,_$,_$)->_$`cFunctionSpace(R)``193391
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`n`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``193453
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`n`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``193520
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``193592
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``193805
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`n`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``193926
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``194184
oapply`3`n`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``194341
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``194455
oapproxNthRoot`2`n`(I,NonNegativeInteger)->I`pIntegerRoots(I)``194583
oapproxSqrt`1`n`(I)->I`pIntegerRoots(I)``194705
oapproximants`1`n`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``195019
oapproximate`2`n`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(**,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`195230
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``195365
oapproximate`2`n`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``195465
oapproximate`2`n`(_$,_$)->Fraction(Integer)`cRealClosedField``195603
oapproximate`3`n`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``195730
oarbitrary`0`n`()->_$`dArity``195862
oareEquivalent?`2`n`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`195945
oareEquivalent?`3`n`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`196073
oareEquivalent?`4`n`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`196215
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``197512
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``197564
oargscript`2`n`(_$,List(OutputForm))->_$`dSymbol``197617
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``197710
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``197840
oargumentList!`3`n`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``197969
oargumentListOf`2`n`(Symbol,_$)->List(Symbol)`dTheSymbolTable``198102
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``198176
oargument`1`n`(_$)->List(S)`dKernel(S)``198254
oargument`1`n`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`198320
oarguments`1`n`(_$)->List(Syntax)`dConstructorCall(C)``198400
oarity`1`n`(S)->Arity`xConstructorCategory&(S)``0
oarity`1`n`(_$)->Arity`cOperatorCategory(S)``198512
oaromberg`8`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``198581
oarrayStack`1`n`(List(S))->_$`dArrayStack(S)``199367
oasecIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``199524
oasec`1`n`(F)->F`pElementaryFunction(R,F)``199613
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)``199683
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``199754
oasec`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``199825
oasec`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``199898
oasec`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``199973
oasechIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``200031
oasech`1`n`(F)->F`pElementaryFunction(R,F)``200122
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)``200204
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``200296
oasech`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``200388
oasech`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``200477
oasech`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``200568
oasimpson`8`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``200638
oasinIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``201424
oasin`1`n`(F)->F`pElementaryFunction(R,F)``201513
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)``201581
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``201650
oasin`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``201719
oasin`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``201790
oasin`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``201863
oasinhIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``201919
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``202010
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)``202090
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``202180
oasinh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``202270
oasinh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``202357
oasinh`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``202446
oassert`2`n`(F,Identifier)->F`pFunctionSpaceAssertions(R,F)``202514
oassert`2`n`(Symbol,Identifier)->Expression(Integer)`pPatternMatchAssertions``202622
oassert`2`n`(_$,Identifier)->_$`dBasicOperator``202694
oassign`2`n`(_$,_$)->_$`dOutputForm``202843
oassoc`2`n`(Key,_$)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``202918
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`203074
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``203264
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`n`(S,S)->Boolean`xIntegralDomain&(S)``0
oassociates?`2`n`(_$,_$)->Boolean`cIntegralDomain``203408
oassociative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``203536
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``203616
oassociatorDependence`0`n`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`203696
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``204037
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`n`(_$,_$,_$)->_$`cNonAssociativeRng``204378
oatanIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``204442
oatan`1`n`(F)->F`pElementaryFunction(R,F)``204531
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)``204602
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``204674
oatan`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``204746
oatan`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``204820
oatan`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``204896
oatan`2`n`(_$,_$)->_$`dDoubleFloat``204955
oatan`2`n`(_$,_$)->_$`dFloat``205039
oatanhIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``205123
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``205214
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)``205297
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``205390
oatanh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``205483
oatanh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``205573
oatanh`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``205665
oatom?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``205736
oatoms`1`n`(PropositionalFormula(T))->Set(T)`pPropositionalFormulaFunctions1(T)``205802
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``205887
oatrapezoidal`8`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``205980
oattributeData`1`n`(_$)->List(Pair(Syntax,NonNegativeInteger))`dFunctorData``206774
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``206909
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``207005
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``207175
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``207269
oautoCoerce`1`n`(_$)->AttributeAst`cSpadAstExports``207698
oautoCoerce`1`n`(_$)->CapsuleAst`cSpadAstExports``207804
oautoCoerce`1`n`(_$)->CaseAst`cSpadAstExports``207908
oautoCoerce`1`n`(_$)->CategoryAst`cSpadAstExports``208009
oautoCoerce`1`n`(_$)->CoerceAst`cSpadAstExports``208114
oautoCoerce`1`n`(_$)->CollectAst`cSpadAstExports``208217
oautoCoerce`1`n`(_$)->ColonAst`cSpadAstExports``208321
oautoCoerce`1`n`(_$)->ConstructAst`cSpadAstExports``208424
oautoCoerce`1`n`(_$)->DefinitionAst`cSpadAstExports``208530
oautoCoerce`1`n`(_$)->DoubleFloat`dSyntax``208637
oautoCoerce`1`n`(_$)->ExitAst`cSpadAstExports``208790
oautoCoerce`1`n`(_$)->HasAst`cSpadAstExports``208891
oautoCoerce`1`n`(_$)->Identifier`cSpadAstExports``208991
oautoCoerce`1`n`(_$)->Identifier`dParameterAst``209095
oautoCoerce`1`n`(_$)->Identifier`dSyntax``209255
oautoCoerce`1`n`(_$)->IfAst`cSpadAstExports``209419
oautoCoerce`1`n`(_$)->ImportAst`cSpadAstExports``209518
oautoCoerce`1`n`(_$)->InAst`cSpadAstExports``209621
oautoCoerce`1`n`(_$)->Integer`cSpadAstExports``209720
oautoCoerce`1`n`(_$)->Integer`dSyntax``209821
oautoCoerce`1`n`(_$)->IsAst`cSpadAstExports``209978
oautoCoerce`1`n`(_$)->JoinAst`cSpadAstExports``210077
oautoCoerce`1`n`(_$)->LetAst`cSpadAstExports``210211
oautoCoerce`1`n`(_$)->MacroAst`cSpadAstExports``210311
oautoCoerce`1`n`(_$)->MappingAst`cSpadAstExports``210413
oautoCoerce`1`n`(_$)->PretendAst`cSpadAstExports``210517
oautoCoerce`1`n`(_$)->RepeatAst`cSpadAstExports``210621
oautoCoerce`1`n`(_$)->RestrictAst`cSpadAstExports``210724
oautoCoerce`1`n`(_$)->ReturnAst`cSpadAstExports``210829
oautoCoerce`1`n`(_$)->SegmentAst`cSpadAstExports``210932
oautoCoerce`1`n`(_$)->SequenceAst`cSpadAstExports``211036
oautoCoerce`1`n`(_$)->SignatureAst`cSpadAstExports``211141
oautoCoerce`1`n`(_$)->StepAst`cSpadAstExports``211247
oautoCoerce`1`n`(_$)->String`cSpadAstExports``211351
oautoCoerce`1`n`(_$)->String`dParameterAst``211451
oautoCoerce`1`n`(_$)->String`dSyntax``211603
oautoCoerce`1`n`(_$)->SuchThatAst`cSpadAstExports``211758
oautoCoerce`1`n`(_$)->T`dMaybe(T)``211863
oautoCoerce`1`n`(_$)->WhereAst`cSpadAstExports``211993
oautoCoerce`1`n`(_$)->WhileAst`cSpadAstExports``212095
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`n`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``212197
oaxesColorDefault`0`n`()->Palette`pViewDefaultsPackage``212374
oaxesColorDefault`1`n`(Palette)->Palette`pViewDefaultsPackage``212463
oaxes`2`n`(_$,String)->Void`dThreeDimensionalViewport``212574
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``212803
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``213048
obackOldPos`1`n`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``213306
oback`1`n`(_$)->S`cQueueAggregate(S)``213546
obackspace`0`n`()->_$`dCharacter``213694
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``213754
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``213792
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``213830
obag`1`n`(List(S))->A`xBagAggregate&(A,S)``0
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obalancedBinaryTree`2`n`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``214059
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``214175
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``214351
obaseRDE`2`n`(Fraction(UP),Fraction(UP))->Record(ans:Fraction(UP),nosol:Boolean)`pTranscendentalRischDE(F,UP)``214507
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``214714
obase`0`n`()->PositiveInteger`cFloatingPointSystem``214896
obase`0`n`()->_$`cIntegerNumberSystem``214986
obase`1`n`(_$)->List(S)`dPermutationGroup(S)``215074
obase`1`n`(_$)->SpadAst`dAddAst``215136
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``215222
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`n`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``215554
obasisOfCenter`0`n`()->List(A)`pAlgebraPackage(R,A)``215743
obasisOfCentroid`0`n`()->List(Matrix(R))`pAlgebraPackage(R,A)``215982
obasisOfCommutingElements`0`n`()->List(A)`pAlgebraPackage(R,A)``216138
obasisOfLeftAnnihilator`1`n`(A)->List(A)`pAlgebraPackage(R,A)``216304
obasisOfLeftNucleus`0`n`()->List(A)`pAlgebraPackage(R,A)``216428
obasisOfLeftNucloid`0`n`()->List(Matrix(R))`pAlgebraPackage(R,A)``216601
obasisOfMiddleNucleus`0`n`()->List(A)`pAlgebraPackage(R,A)``216782
obasisOfNucleus`0`n`()->List(A)`pAlgebraPackage(R,A)``216957
obasisOfRightAnnihilator`1`n`(A)->List(A)`pAlgebraPackage(R,A)``217166
obasisOfRightNucleus`0`n`()->List(A)`pAlgebraPackage(R,A)``217291
obasisOfRightNucloid`0`n`()->List(Matrix(R))`pAlgebraPackage(R,A)``217465
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`n`()->Vector(_$)`cFiniteAlgebraicExtensionField(F)``217648
obasis`0`n`()->Vector(_$)`cFramedAlgebra(R,UP)``217723
obasis`0`n`()->Vector(_$)`cFramedNonAssociativeAlgebra(R)``217786
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``217849
obasis`1`n`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)``217944
obasis`1`n`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`218034
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``218106
obasis`1`n`(_$)->Vector(A)`dFramedModule(R,F,UP,A,ibasis)``218178
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``218244
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``218351
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``218401
obefore?`2`n`(S,S)->Boolean`xBasicType&(S)``0
obefore?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
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obefore?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
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obelong?`1`n`(BasicOperator)->Boolean`cExpressionSpace``218644
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``218731
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``218875
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``218958
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``219038
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``219124
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``219185
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obernoulliB`2`n`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`219272
obernoulli`1`n`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``219316
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``219469
obesselI`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``219775
obesselI`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``219984
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``220193
obesselI`2`n`(_$,_$)->_$`cSpecialFunctionCategory``220282
obesselJ`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``220360
obesselJ`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``220560
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``220760
obesselJ`2`n`(_$,_$)->_$`cSpecialFunctionCategory``220849
obesselK`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``220918
obesselK`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``221293
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``221669
obesselK`2`n`(_$,_$)->_$`cSpecialFunctionCategory``221758
obesselY`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``221837
obesselY`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``222209
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``222581
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obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`222740
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``222876
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obiRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``223133
obigEndian`0`n`()->_$`dByteOrder``223509
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``223559
obinaryOperation`1`n`((T,T)->T)->_$`dBinaryOperation(T)``223611
obinarySearchTree`1`n`(List(S))->_$`dBinarySearchTree(S)``223722
obinaryTournament`1`n`(List(S))->_$`dBinaryTournament(S)``223770
obinaryTree`1`n`(S)->_$`dBinaryTree(S)``223888
obinaryTree`3`n`(_$,S,_$)->_$`dBinaryTree(S)``223993
obinary`1`n`(Fraction(Integer))->_$`dBinaryExpansion``224122
obinary`2`n`(_$,List(_$))->_$`dInputForm``224196
obinding`2`n`(Identifier,List(Property))->_$`dBinding``224304
obindings`1`n`(_$)->List(Binding)`dContour``224397
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`n`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,CommutativeRing)`224474
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``224571
obinomial`2`n`(I,I)->I`pIntegerCombinatoricFunctions(I)``224732
obinomial`2`n`(Integer,RationalNumber)->()->Integer`pRandomIntegerDistributions``224934
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`cCombinatorialFunctionCategory``224976
obinomial`2`n`(_$,_$)->_$`dOutputForm``225164
obipolarCylindrical`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``225262
obipolar`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``225549
obirth`1`n`(_$)->_$`dSubSpace(n,R)``225788
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`n`(_$,_$)->Boolean`cIntegerNumberSystem``225825
obitCoef`2`n`(Integer,Integer)->Integer`pIntegerBits``225920
obitLength`1`n`(Integer)->Integer`pIntegerBits``225996
obitTruth`2`n`(Integer,Integer)->Boolean`pIntegerBits``226077
obitand`2`n`(_$,_$)->_$`dByte``226170
obitand`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``226238
obitand`2`n`(_$,_$)->_$`dUInt16``0
obitand`2`n`(_$,_$)->_$`dUInt32``0
obitand`2`n`(_$,_$)->_$`dUInt64``0
obitand`2`n`(_$,_$)->_$`dUInt8``0
obitior`2`n`(_$,_$)->_$`dByte``226306
obitior`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``226391
obitior`2`n`(_$,_$)->_$`dUInt16``0
obitior`2`n`(_$,_$)->_$`dUInt32``0
obitior`2`n`(_$,_$)->_$`dUInt64``0
obitior`2`n`(_$,_$)->_$`dUInt8``0
obits`0`n`()->PositiveInteger`cFloatingPointSystem``226468
obits`1`n`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`226526
obits`2`n`(NonNegativeInteger,Boolean)->_$`dBits``226619
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``226689
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``226803
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``226967
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``227179
oblue`0`n`()->_$`dColor``227274
oblue`1`n`(_$)->T`cRGBColorModel(T)``227349
obody`1`n`(_$)->List(SpadAst)`dCapsuleAst``227408
obody`1`n`(_$)->List(SpadAst)`dCategoryAst``227490
obody`1`n`(_$)->List(SpadAst)`dCommaAst``227564
obody`1`n`(_$)->List(SpadAst)`dSequenceAst``227633
obody`1`n`(_$)->SpadAst`dAddAst``227723
obody`1`n`(_$)->SpadAst`dCollectAst``227803
obody`1`n`(_$)->SpadAst`dDefinitionAst``227894
obody`1`n`(_$)->SpadAst`dMacroAst``227967
obody`1`n`(_$)->SpadAst`dReduceAst``228040
obody`1`n`(_$)->SpadAst`dRepeatAst``228108
obody`1`n`(_$)->Syntax`dAnonymousFunction``228164
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``228232
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``228309
obothWays`0`n`()->_$`dIOMode``228393
obottom!`1`n`(_$)->S`cDequeueAggregate(S)``228475
oboundOfCauchy`1`n`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`228557
obounds`1`n`(_$)->List(SpadAst)`dSegmentAst``228625
obox`1`n`(List(S))->S`xExpressionSpace&(S)``0
obox`1`n`(List(_$))->_$`cExpressionSpace``228770
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(_$)->_$`cExpressionSpace``229071
obox`1`n`(_$)->_$`dOutputForm``229308
obrace`0`n`()->A`xFiniteSetAggregate&(A,S)``0
obrace`0`n`()->_$`cSetAggregate(S)``229357
obrace`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
obrace`1`n`(List(S))->_$`cSetAggregate(S)``229533
obrace`1`n`(List(_$))->_$`dOutputForm``229707
obrace`1`n`(_$)->_$`dOutputForm``229838
obracket`1`n`(List(_$))->_$`dOutputForm``229925
obracket`1`n`(_$)->_$`dOutputForm``230059
obranchIfCan`8`n`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pQuasiComponentPackage(R,E,V,P,TS)``230140
obranchIfCan`8`n`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``230306
obranchPoint?`1`n`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``230472
obranchPoint?`1`n`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``230548
obranchPointAtInfinity?`0`n`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``230627
obright`1`n`(Color)->_$`dPalette``230712
obright`1`n`(List(String))->List(String)`pDisplayPackage``230806
obright`1`n`(String)->List(String)`pDisplayPackage``230908
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``230997
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``231157
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``231458
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``231554
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``231691
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``231732
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)``231775
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``232035
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`232559
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``232602
obuildSyntax`2`n`(Identifier,List(_$))->_$`dSyntax``232647
obuildSyntax`2`n`(_$,List(_$))->_$`dSyntax``232752
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``232857
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``232898
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``233063
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``233204
obyteBuffer`1`n`(NonNegativeInteger)->_$`dByteBuffer``233345
obyte`1`n`(NonNegativeInteger)->_$`dByte``233428
obytes`1`n`(_$)->DataArray(4,Byte)`dIP4Address``233556
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`233625
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`233751
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`233894
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234023
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234169
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234297
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234442
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234568
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234711
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234835
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`234976
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`235103
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`235247
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`235369
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`235503
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`235628
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`235765
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`235889
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`236025
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`236152
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`236277
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`236419
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`236524
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`236646
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`236780
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`236900
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`237032
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`237155
ocache`0`n`()->List(S)`pSortedCache(S)``237290
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``237349
ocallForm?`1`n`(_$)->Boolean`dElaboratedExpression``237391
ocap`2`n`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``237464
ocapacity`1`n`(_$)->NonNegativeInteger`dByteBuffer``237576
ocar`1`n`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``237653
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`n`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``237703
ocarriageReturn`0`n`()->_$`dCharacter``237819
ocartesian`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``237876
ocase`2`n`(_$,[||](AttributeAst))->Boolean`cSpadAstExports``237958
ocase`2`n`(_$,[||](CapsuleAst))->Boolean`cSpadAstExports``238030
ocase`2`n`(_$,[||](CaseAst))->Boolean`cSpadAstExports``238104
ocase`2`n`(_$,[||](CategoryAst))->Boolean`cSpadAstExports``238176
ocase`2`n`(_$,[||](CoerceAst))->Boolean`cSpadAstExports``238254
ocase`2`n`(_$,[||](CollectAst))->Boolean`cSpadAstExports``238330
ocase`2`n`(_$,[||](ColonAst))->Boolean`cSpadAstExports``238408
ocase`2`n`(_$,[||](ConstructAst))->Boolean`cSpadAstExports``238482
ocase`2`n`(_$,[||](DefinitionAst))->Boolean`cSpadAstExports``238559
ocase`2`n`(_$,[||](DoubleFloat))->Boolean`dSyntax``238632
ocase`2`n`(_$,[||](ExitAst))->Boolean`cSpadAstExports``238711
ocase`2`n`(_$,[||](HasAst))->Boolean`cSpadAstExports``238784
ocase`2`n`(_$,[||](Identifier))->Boolean`cSpadAstExports``238854
ocase`2`n`(_$,[||](Identifier))->Boolean`dParameterAst``238925
ocase`2`n`(_$,[||](Identifier))->Boolean`dSyntax``239031
ocase`2`n`(_$,[||](IfAst))->Boolean`cSpadAstExports``239109
ocase`2`n`(_$,[||](ImportAst))->Boolean`cSpadAstExports``239177
ocase`2`n`(_$,[||](InAst))->Boolean`cSpadAstExports``239255
ocase`2`n`(_$,[||](Integer))->Boolean`cSpadAstExports``239320
ocase`2`n`(_$,[||](Integer))->Boolean`dSyntax``239393
ocase`2`n`(_$,[||](IsAst))->Boolean`cSpadAstExports``239465
ocase`2`n`(_$,[||](JoinAst))->Boolean`cSpadAstExports``239534
ocase`2`n`(_$,[||](LetAst))->Boolean`cSpadAstExports``239639
ocase`2`n`(_$,[||](MacroAst))->Boolean`cSpadAstExports``239717
ocase`2`n`(_$,[||](MappingAst))->Boolean`cSpadAstExports``239791
ocase`2`n`(_$,[||](PretendAst))->Boolean`cSpadAstExports``239863
ocase`2`n`(_$,[||](RepeatAst))->Boolean`cSpadAstExports``239941
ocase`2`n`(_$,[||](RestrictAst))->Boolean`cSpadAstExports``240012
ocase`2`n`(_$,[||](ReturnAst))->Boolean`cSpadAstExports``240092
ocase`2`n`(_$,[||](SegmentAst))->Boolean`cSpadAstExports``240167
ocase`2`n`(_$,[||](SequenceAst))->Boolean`cSpadAstExports``240245
ocase`2`n`(_$,[||](SignatureAst))->Boolean`cSpadAstExports``240328
ocase`2`n`(_$,[||](StepAst))->Boolean`cSpadAstExports``240406
ocase`2`n`(_$,[||](String))->Boolean`cSpadAstExports``240500
ocase`2`n`(_$,[||](String))->Boolean`dParameterAst``240570
ocase`2`n`(_$,[||](String))->Boolean`dSyntax``240654
ocase`2`n`(_$,[||](SuchThatAst))->Boolean`cSpadAstExports``240723
ocase`2`n`(_$,[||](T))->Boolean`dMaybe(T)``240804
ocase`2`n`(_$,[||](WhereAst))->Boolean`cSpadAstExports``240896
ocase`2`n`(_$,[||](WhileAst))->Boolean`cSpadAstExports``240988
ocase`2`n`(_$,[||](false))->Boolean`dKleeneTrivalentLogic``241059
ocase`2`n`(_$,[||](nothing))->Boolean`dMaybe(T)``241123
ocase`2`n`(_$,[||](true))->Boolean`dKleeneTrivalentLogic``241196
ocase`2`n`(_$,[||](unknown))->Boolean`dKleeneTrivalentLogic``241259
ocategories`1`n`(_$)->List(TypeAst)`dJoinAst``241327
ocategories`1`n`(_$)->PrimitiveArray(ConstructorCall(CategoryConstructor))`dFunctorData``241390
ocategoryFrame`0`n`()->_$`dEnvironment``241524
ocategoryMode`0`n`()->_$`dInternalTypeForm``241584
ocategory`0`n`()->_$`dConstructorKind``241649
ocdr`1`n`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``241704
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`n`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`241763
oceiling`1`n`(_$)->_$`cRealNumberSystem``241842
ocenter`1`n`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``241905
ocenter`1`n`(_$)->_$`dOutputForm``241992
ocenter`2`n`(_$,Integer)->_$`dOutputForm``242054
ocenter`3`n`(List(String),Integer,String)->List(String)`pDisplayPackage``242134
ocenter`3`n`(String,Integer,String)->String`pDisplayPackage``242414
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``242727
ocfirst`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``242952
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``242995
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``243137
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``243288
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``243371
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``243454
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``243592
ocharClass`1`n`(List(Character))->_$`dCharacterClass``243725
ocharClass`1`n`(String)->_$`dCharacterClass``243844
ochar`1`n`(NonNegativeInteger)->_$`dCharacter``243965
ochar`1`n`(String)->_$`dCharacter``244105
ocharacter?`1`n`(_$)->Boolean`dFortranScalarType``244186
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``244282
ocharacteristicPolynomial`1`n`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``244391
ocharacteristicPolynomial`1`n`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``244572
ocharacteristicPolynomial`1`n`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``244738
ocharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ocharacteristicPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(_$)->UP`cFiniteRankAlgebra(R,UP)``244898
ocharacteristicPolynomial`2`n`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``245047
ocharacteristicPolynomial`2`n`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``245223
ocharacteristicPolynomial`2`n`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``245406
ocharacteristicPolynomial`2`n`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``245562
ocharacteristicSerie`1`n`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``245833
ocharacteristicSerie`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``245963
ocharacteristicSet`1`n`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``246343
ocharacteristicSet`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``246469
ocharacteristic`0`n`()->NonNegativeInteger`cNonAssociativeRing``247238
ocharacteristic`0`n`()->NonNegativeInteger`cRing``247309
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
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``247517
ocharthRoot`1`n`(S)->Maybe(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Maybe(S)`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Maybe(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Maybe(S)`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(_$)->Maybe(_$)`cCharacteristicNonZero``247764
ocharthRoot`1`n`(_$)->Maybe(_$)`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`247882
ocharthRoot`1`n`(_$)->_$`cFiniteFieldCategory``248009
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``248135
ochebyshevT`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``248427
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``248616
ochebyshevU`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``248903
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``249087
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``249342
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``249613
ocheck`1`n`(_$)->_$`cThreeSpaceCategory(R)``249732
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``249858
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``249894
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``249936
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild?`2`n`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,SetCategory)`249977
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``250055
ochildren`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(_$)->List(_$)`cRecursiveAggregate(S)``250094
ochildren`1`n`(_$)->List(_$)`dSubSpace(n,R)``250174
ochineseRemainder`2`n`(List(List(R)),List(R))->List(R)`pCRApackage(R)``250214
ochineseRemainder`2`n`(List(R),List(R))->R`pCRApackage(R)``250471
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)``250745
ochineseRemainder`4`n`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``250799
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``250994
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``251032
oclearCache`0`n`()->Void`pSortedCache(S)``251385
oclearDenominator`1`n`(A)->A`pCommonDenominator(R,Q,A)``251431
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``251589
oclearDenominator`1`n`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``251747
oclearDenominator`1`n`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``251892
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``252041
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``252136
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``252205
oclikeUniv`1`n`(Symbol)->(Polynomial(R))->SparseUnivariatePolynomial(Polynomial(R))`pWeierstrassPreparation(R)``252285
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``252332
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``252546
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``252915
oclipPointsDefault`0`n`()->Boolean`pGraphicsDefaults``253312
oclipPointsDefault`1`n`(Boolean)->Boolean`pGraphicsDefaults``253406
oclipSurface`2`n`(_$,String)->Void`dThreeDimensionalViewport``253571
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``253874
oclip`1`n`(Boolean)->_$`dDrawOption``254220
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``254384
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``254659
oclip`1`n`(List(Segment(Float)))->_$`dDrawOption``254940
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``255098
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``255382
oclose!`1`n`(_$)->_$`cConduit``255691
oclose!`1`n`(_$)->_$`cFileCategory(Name,S)``255825
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``255903
oclose`1`n`(_$)->Void`dThreeDimensionalViewport``256368
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``256576
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``256780
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``256819
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``256858
oclosedCurve?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``256937
oclosedCurve`1`n`(List(Point(R)))->_$`cThreeSpaceCategory(R)``257173
oclosedCurve`1`n`(_$)->List(Point(R))`cThreeSpaceCategory(R)``257436
oclosedCurve`2`n`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``257779
oclosedCurve`2`n`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``258310
oclosed`0`n`()->_$`dIOMode``258575
ocn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``258643
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`n`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`258732
ocoefChoose`2`n`(Integer,Factored(P))->P`pMultivariateSquareFree(E,OV,R,P)``258813
ocoef`2`n`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``258854
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``259021
ocoef`2`n`(_$,OrderedFreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``259137
ocoef`2`n`(_$,_$)->R`cXFreeAlgebra(vl,R)``259219
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,_$)->E`cFreeAbelianMonoidCategory(S,E)``259349
ocoefficient`2`n`(_$,Basis)->R`cFreeModuleCat(R,Basis)``259499
ocoefficient`2`n`(_$,E)->R`cAbelianMonoidRing(R,E)``259579
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``259746
ocoefficient`2`n`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,Q)``259791
ocoefficient`2`n`(_$,M)->R`dMonoidRing(R,M)``259905
ocoefficient`2`n`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``260031
ocoefficient`2`n`(_$,NonNegativeInteger)->R`cMonogenicLinearOperator(R)``260105
ocoefficient`2`n`(_$,NonNegativeInteger)->R`cUnivariateSkewPolynomialCategory(R)``260212
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``260319
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``260393
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``260584
ocoefficient`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``260803
ocoefficient`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``260929
ocoefficient`3`n`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``261144
ocoefficient`3`n`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``261228
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->List(R)`cFiniteAbelianMonoidRing(R,E)``261383
ocoefficients`1`n`(_$)->List(R)`cFreeModuleCat(R,Basis)``261477
ocoefficients`1`n`(_$)->List(R)`cUnivariateSkewPolynomialCategory(R)``261553
ocoefficients`1`n`(_$)->List(R)`dMonoidRing(R,M)``261645
ocoefficients`1`n`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``261708
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``261858
ocoerceImages`1`n`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`262199
ocoerceImages`1`n`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`262511
ocoerceL`1`n`(OutputForm)->String`dMathMLFormat``262823
ocoerceListOfPairs`1`n`(List(List(S)))->_$`dPermutation(S)``262952
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``263246
ocoercePreimagesImages`1`n`(List(List(S)))->_$`dPermutation(S)``263379
ocoerceS`1`n`(OutputForm)->String`dMathMLFormat``263593
ocoerce`1`n`(A)->()->A`pMappingPackage1(A)``263713
ocoerce`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xBinaryRecursiveAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDictionaryOperations&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteSetAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xHomogeneousAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOneDimensionalArrayAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOperatorCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``263796
ocoerce`1`n`(A)->_$`dAssociatedJordanAlgebra(R,A)``263883
ocoerce`1`n`(A)->_$`dAssociatedLieAlgebra(R,A)``264046
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Character)->_$`cStringAggregate``264203
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(Col)->_$`cMatrixCategory(R,Row,Col)``264294
ocoerce`1`n`(Exit)->S`pResolveLatticeCompletion(S)``264371
ocoerce`1`n`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``264528
ocoerce`1`n`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``264972
ocoerce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``265419
ocoerce`1`n`(FortranScalarType)->_$`dFortranType``265506
ocoerce`1`n`(FourierComponent(E))->_$`dFourierSeries(R,E)``265568
ocoerce`1`n`(Fraction(Factored(R)))->_$`dPartialFraction(R)``265635
ocoerce`1`n`(Fraction(Integer))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Fraction(Integer))->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Fraction(Integer))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``265927
ocoerce`1`n`(Fraction(Polynomial(Fraction(R))))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`266077
ocoerce`1`n`(Fraction(Polynomial(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`266139
ocoerce`1`n`(GraphImage)->TwoDimensionalViewport`pViewportPackage``266201
ocoerce`1`n`(Integer)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Integer)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Integer)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Integer)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Integer)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Integer)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xNonAssociativeRing&(S)``0
ocoerce`1`n`(Integer)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Integer)->S`xRing&(S)``0
ocoerce`1`n`(Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Integer)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Integer)->_$`cNonAssociativeRing``266336
ocoerce`1`n`(Integer)->_$`dOrdSetInts``266416
ocoerce`1`n`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(LiePolynomial(VarSet,R))->_$`dXPBWPolynomial(VarSet,R)``266486
ocoerce`1`n`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``266544
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``266637
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``266894
ocoerce`1`n`(List(List(S)))->_$`dPermutation(S)``267398
ocoerce`1`n`(List(Permutation(S)))->_$`dPermutationGroup(S)``267722
ocoerce`1`n`(List(Record(coef:R,monom:M)))->_$`dMonoidRing(R,M)``267824
ocoerce`1`n`(List(S))->_$`dPermutation(S)``267918
ocoerce`1`n`(List(TypeAst))->_$`dImportAst``268146
ocoerce`1`n`(List(TypeAst))->_$`dJoinAst``268219
ocoerce`1`n`(OutputForm)->String`dMathMLFormat``268286
ocoerce`1`n`(Pi)->Expression(R)`pPiCoercions(R)``268376
ocoerce`1`n`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``268445
ocoerce`1`n`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``268571
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`268672
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``268734
ocoerce`1`n`(R)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(R)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(R)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(R)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(R)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(R)->_$`cLeftAlgebra(R)``268820
ocoerce`1`n`(R)->_$`dFourierSeries(R,E)``268910
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)->Any`pAnyFunctions1(S)``268976
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->None`pNoneFunctions1(S)``269079
ocoerce`1`n`(S)->OutputForm`xAbstractSyntaxCategory&(S)``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)->Syntax`xAbstractSyntaxCategory&(S)``0
ocoerce`1`n`(S)->TexFormat`pTexFormat1(S)``269160
ocoerce`1`n`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->Void`pResolveLatticeCompletion(S)``269387
ocoerce`1`n`(S)->_$`cCoercibleFrom(S)``269722
ocoerce`1`n`(SMP)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``269786
ocoerce`1`n`(Segment(S))->_$`dUniversalSegment(S)``269868
ocoerce`1`n`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``269943
ocoerce`1`n`(Signature)->_$`dMappingAst``270077
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`270146
ocoerce`1`n`(String)->_$`dFortranScalarType``270208
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->_$`dFortranScalarType``270497
ocoerce`1`n`(Symbol)->_$`dTaylorSeries(Coef)``270761
ocoerce`1`n`(Syntax)->S`xAbstractSyntaxCategory&(S)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``270824
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``270962
ocoerce`1`n`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``271100
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``271177
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)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``271286
ocoerce`1`n`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``271351
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``271429
ocoerce`1`n`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``271469
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``271558
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``271647
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``271749
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``271838
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``271940
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``272114
ocoerce`1`n`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``272255
ocoerce`1`n`(_$)->DoubleFloat`dSyntax``272462
ocoerce`1`n`(_$)->Fraction(R)`dPartialFraction(R)``272530
ocoerce`1`n`(_$)->Identifier`dSyntax``272632
ocoerce`1`n`(_$)->Integer`dSyntax``272700
ocoerce`1`n`(_$)->List(Permutation(S))`dPermutationGroup(S)``272771
ocoerce`1`n`(_$)->Magma(VarSet)`dLyndonWord(VarSet)``272842
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dLyndonWord(VarSet)``272958
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dMagma(VarSet)``273086
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``273238
ocoerce`1`n`(_$)->OutputForm`cThreeSpaceCategory(R)``273389
ocoerce`1`n`(_$)->OutputForm`dGraphImage``273474
ocoerce`1`n`(_$)->OutputForm`dTableau(S)``273622
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``273693
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``273875
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``273913
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``273951
ocoerce`1`n`(_$)->SExpression`dFortranScalarType``273989
ocoerce`1`n`(_$)->S`cCoercibleTo(S)``274070
ocoerce`1`n`(_$)->String`dSyntax``274136
ocoerce`1`n`(_$)->Symbol`dFortranScalarType``274205
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``274273
ocoerce`1`n`(_$)->Table(Symbol,FortranType)`dSymbolTable``274316
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``274373
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``274457
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``274546
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``274632
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``274721
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``274805
ocoerce`1`n`(vl)->_$`cXFreeAlgebra(vl,R)``274889
ocoleman`3`n`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``274931
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`n`(_$)->_$`cTriangularSetCategory(R,E,V,P)``275692
ocollectUnder`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUnder`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUnder`2`n`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``275826
ocollectUpper`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUpper`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUpper`2`n`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``275976
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`n`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``276129
ocolorDef`3`n`(_$,Color,Color)->Void`dThreeDimensionalViewport``276267
ocolorFunction`1`n`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``276576
ocolorFunction`1`n`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``276759
ocolorFunction`1`n`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``276967
ocolor`1`n`(Integer)->_$`dColor``277191
ocolor`1`n`(Point(R))->R`pPointPackage(R)``277261
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`n`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``277574
ocolumn`2`n`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``277700
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``277822
ocommonDenominator`1`n`(A)->R`pCommonDenominator(R,Q,A)``277917
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``278026
ocommonDenominator`1`n`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``278135
ocommonDenominator`1`n`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``278238
ocommutative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``278345
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``278429
ocommutativeEquality`2`n`(_$,_$)->Boolean`dListMonoidOps(S,E,un)``278513
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`n`(_$,_$)->_$`cGroup``278630
ocommutator`2`n`(_$,_$)->_$`cNonAssociativeRng``278701
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``278755
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``278997
ocompactFraction`1`n`(_$)->_$`dPartialFraction(R)``279041
ocompanionBlocks`2`n`(Matrix(K),Vector(K))->List(Record(C:Matrix(K),g:Vector(K)))`pPseudoLinearNormalForm(K)``279242
ocomparison`2`n`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``279406
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Integer`pMultivariateSquareFree(E,OV,R,P)``279669
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``279708
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``280024
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``280215
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`n`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`280423
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`n`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``280554
ocompleteEchelonBasis`1`n`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``280674
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``281069
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``281338
ocompleteHermite`1`n`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``281540
ocompleteSmith`1`n`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``281709
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``281906
ocomplete`1`n`(_$)->_$`cLazyStreamAggregate(S)``282145
ocomplete`1`n`(_$)->_$`cPAdicIntegerCategory(p)``282292
ocomplete`1`n`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``282356
ocomplete`1`n`(_$)->_$`dContinuedFraction(R)``282505
ocomplex?`1`n`(_$)->Boolean`dFortranScalarType``282758
ocomplexEigenvalues`2`n`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``282850
ocomplexEigenvectors`2`n`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``283096
ocomplexElementary`1`n`(F)->F`pComplexTrigonometricManipulations(R,F)``283462
ocomplexElementary`1`n`(F)->F`pTrigonometricManipulations(R,F)``283607
ocomplexElementary`2`n`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``283752
ocomplexElementary`2`n`(F,Symbol)->F`pTrigonometricManipulations(R,F)``283934
ocomplexExpand`1`n`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``284116
ocomplexExpand`1`n`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``284212
ocomplexForm`1`n`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``284308
ocomplexForm`1`n`(F)->Complex(F)`pTrigonometricManipulations(R,F)``284370
ocomplexIntegrate`2`n`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``284432
ocomplexIntegrate`2`n`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`284555
ocomplexLimit`2`n`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``284678
ocomplexLimit`2`n`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``284769
ocomplexLimit`2`n`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``284893
ocomplexNormalize`1`n`(F)->F`pComplexTrigonometricManipulations(R,F)``285017
ocomplexNormalize`1`n`(F)->F`pTrigonometricManipulations(R,F)``285133
ocomplexNormalize`2`n`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``285249
ocomplexNormalize`2`n`(F,Symbol)->F`pTrigonometricManipulations(R,F)``285387
ocomplexNumericIfCan`1`n`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`285525
ocomplexNumericIfCan`1`n`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`285660
ocomplexNumericIfCan`1`n`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`285795
ocomplexNumericIfCan`1`n`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`285930
ocomplexNumericIfCan`1`n`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`286065
ocomplexNumericIfCan`1`n`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`286198
ocomplexNumericIfCan`2`n`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`286333
ocomplexNumericIfCan`2`n`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`286501
ocomplexNumericIfCan`2`n`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`286669
ocomplexNumericIfCan`2`n`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`286837
ocomplexNumericIfCan`2`n`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`286975
ocomplexNumericIfCan`2`n`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`287143
ocomplexNumeric`1`n`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`287311
ocomplexNumeric`1`n`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`287388
ocomplexNumeric`1`n`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`287465
ocomplexNumeric`1`n`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`287542
ocomplexNumeric`1`n`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`287619
ocomplexNumeric`1`n`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`287696
ocomplexNumeric`1`n`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`287773
ocomplexNumeric`1`n`(S)->Complex(Float)`pNumeric(S)``287850
ocomplexNumeric`2`n`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`287927
ocomplexNumeric`2`n`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`288037
ocomplexNumeric`2`n`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`288147
ocomplexNumeric`2`n`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`288257
ocomplexNumeric`2`n`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`288367
ocomplexNumeric`2`n`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`288446
ocomplexNumeric`2`n`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`288556
ocomplexNumeric`2`n`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``288666
ocomplexRoots`2`n`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``288776
ocomplexRoots`3`n`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``288958
ocomplexSolve`2`n`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``289270
ocomplexSolve`2`n`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``289508
ocomplexSolve`2`n`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``289728
ocomplexSolve`2`n`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``289954
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``290176
ocomplexZeros`2`n`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``290375
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``290580
ocomplex`2`n`(R,R)->_$`cComplexCategory(R)``290713
ocomponentUpperBound`0`n`()->T`cRGBColorModel(T)``290769
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``290840
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``291160
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``291635
ocomponents`1`n`(_$)->List(_$)`cThreeSpaceCategory(R)``291960
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``292201
ocompose`2`n`(UP,UP)->UP`pPolynomialComposition(UP,R)``292295
ocomposite`1`n`(List(_$))->_$`cThreeSpaceCategory(R)``292336
ocomposite`2`n`(Fraction(S),S)->Union(Fraction(S),"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(Fraction(_$),_$)->Union(Fraction(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`292535
ocomposite`2`n`(S,S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`292659
ocomposites`1`n`(_$)->List(_$)`cThreeSpaceCategory(R)``292766
ocompound?`1`n`(_$)->Boolean`dSyntax``293115
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``293190
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``293231
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``293420
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``293589
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,P)``294001
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`n`(_$,S)->_$`cExtensibleLinearAggregate(S)``294045
oconcat!`2`n`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`294132
oconcat!`2`n`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`294283
oconcat!`2`n`(_$,_$)->_$`cExtensibleLinearAggregate(S)``294418
oconcat!`2`n`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`294522
oconcat`1`n`(List(A))->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat`1`n`(List(_$))->_$`cLinearAggregate(S)``294685
oconcat`1`n`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``295035
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`n`(S,_$)->_$`cLinearAggregate(S)``295171
oconcat`2`n`(S,_$)->_$`cUnaryRecursiveAggregate(S)``295349
oconcat`2`n`(_$,S)->_$`cLinearAggregate(S)``295587
oconcat`2`n`(_$,_$)->_$`cLinearAggregate(S)``295773
oconcat`2`n`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``296143
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`n`(Matrix(_$))->Union(Vector(_$),"failed")`cFiniteFieldCategory``296323
oconditionP`1`n`(Matrix(_$))->Union(Vector(_$),"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`296536
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``296805
ocondition`1`n`(_$)->SpadAst`dIfAst``296884
ocondition`1`n`(_$)->SpadAst`dWhileAst``296959
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``297035
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`297212
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``297388
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``297565
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`297775
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``297984
oconical`2`n`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``298067
oconjug`1`n`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`298405
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjugate`1`n`(List(PositiveInteger))->List(PositiveInteger)`pPartitionsAndPermutations``298460
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`n`(_$)->_$`cComplexCategory(R)``298533
oconjugate`1`n`(_$)->_$`cOctonionCategory(R)``298608
oconjugate`1`n`(_$)->_$`cQuaternionCategory(R)``298760
oconjugate`1`n`(_$)->_$`dPartition``298839
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`n`(_$,_$)->_$`cGroup``298922
oconjugates`1`n`(Stream(List(PositiveInteger)))->Stream(List(PositiveInteger))`pPartitionsAndPermutations``299022
oconjunction`2`n`(_$,_$)->_$`dPropositionalFormula(T)``299130
oconnectTo`2`n`(Hostname,PortNumber)->Maybe(_$)`dInetClientStreamSocket``0
oconnectTo`2`n`(T,PortNumber)->Maybe(_$)`cNetworkClientSocket(T)``0
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``299230
ocons`2`n`(S,_$)->_$`dList(S)``299508
ocons`2`n`(S,_$)->_$`dStream(S)``299676
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``299821
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``299862
oconst`1`n`(C)->(A)->C`pMappingPackage2(A,C)``300076
oconstant?`1`n`(_$)->Boolean`cXFreeAlgebra(vl,R)``300180
oconstant?`1`n`(_$)->Boolean`dElaboratedExpression``300252
oconstant?`1`n`(_$)->Boolean`dPattern(R)``300321
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``300398
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``300496
oconstantIfCan`1`n`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``300927
oconstantKernel`1`n`(R)->Kernel(S)`pKernelFunctions2(R,S)``300972
oconstantLeft`1`n`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``301018
oconstantOpIfCan`1`n`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``301118
oconstantOperator`1`n`(A)->BasicOperator`pBasicOperatorFunctions1(A)``301264
oconstantRight`1`n`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``301379
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``301480
oconstant`1`n`(()->C)->(A)->C`pMappingPackage2(A,C)``301706
oconstant`1`n`(F)->F`pFunctionSpaceAssertions(R,F)``301793
oconstant`1`n`(Symbol)->Expression(Integer)`pPatternMatchAssertions``301950
oconstant`1`n`(_$)->R`cXFreeAlgebra(vl,R)``302071
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``302136
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``302200
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``302255
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``302391
oconstruct`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
oconstruct`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xLazyStreamAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconstruct`1`n`(List(S))->_$`cCollection(S)``302494
oconstruct`1`n`(Record(val:V,tower:C))->_$`dSplittingNode(V,C)``302817
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``302903
oconstruct`1`n`(_$)->Stream(S)`dInfiniteTuple(S)``303251
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``303318
oconstruct`2`n`(Identifier,Signature)->_$`dOperatorSignature``303361
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``303472
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``303573
oconstruct`2`n`(S,T)->_$`dPair(S,T)``303674
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``303765
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``303811
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``303931
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``304051
oconstruct`2`n`(_$,_$)->_$`cLieAlgebra(R)``304152
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``304264
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``304333
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``304402
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``304546
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``304791
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``304997
oconstructor`1`n`(_$)->C`dConstructorCall(C)``305278
oconstructor`1`n`(_$)->CategoryConstructor`dCategory``305366
oconstructor`1`n`(_$)->DomainConstructor`dDomain``305473
ocontains?`2`n`(_$,R)->Boolean`cIntervalCategory(R)``305580
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``305726
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`n`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`305806
ocontent`1`n`(_$)->R`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`305889
ocontent`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocontent`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`2`n`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`305967
ocontinuedFraction`1`n`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``306250
ocontinuedFraction`1`n`(Fraction(R))->_$`dContinuedFraction(R)``306362
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``306510
ocontinuedFraction`3`n`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``306622
ocontours`1`n`(_$)->List(Contour)`dScope``306848
ocontractSolve`2`n`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``306922
ocontractSolve`2`n`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``307193
ocontract`2`n`(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)``307488
ocontract`3`n`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``307587
ocontract`4`n`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``307921
ocontrolPanel`2`n`(_$,String)->Void`dThreeDimensionalViewport``308350
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``308594
oconvergents`1`n`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``308834
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)``309018
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`309099
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``309275
oconvert`1`n`(List(_$))->_$`dPattern(R)``309378
oconvert`1`n`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``309453
oconvert`1`n`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``309497
oconvert`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`309541
oconvert`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`309621
oconvert`1`n`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`309701
oconvert`1`n`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``309781
oconvert`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`309825
oconvert`1`n`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`n`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``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`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->InputForm`xIntegerNumberSystem&(S)``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`(S)->_$`cConvertibleFrom(S)``310002
oconvert`1`n`(SExpression)->_$`dInputForm``310067
oconvert`1`n`(SExpression)->_$`dSyntax``310127
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``310341
oconvert`1`n`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``310385
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(UP)->_$`cMonogenicAlgebra(R,UP)``310445
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->_$`cFramedAlgebra(R,UP)``310599
oconvert`1`n`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``310737
oconvert`1`n`(_$)->SExpression`dSyntax``310899
oconvert`1`n`(_$)->S`cConvertibleTo(S)``310984
oconvert`1`n`(_$)->Vector(R)`cFramedAlgebra(R,UP)``311051
oconvert`1`n`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``311161
oconvert`2`n`(OutputForm,Integer)->_$`dTexFormat``311271
oconvert`3`n`(OutputForm,Integer,OutputForm)->_$`dTexFormat``311548
ocoord`1`n`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``311846
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``311978
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``312012
ocoordinate`2`n`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``312214
ocoordinate`2`n`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``312427
ocoordinate`2`n`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``312645
ocoordinates`1`n`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``312859
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`n`(Vector(_$))->Matrix(F)`cFiniteAlgebraicExtensionField(F)``313010
ocoordinates`1`n`(Vector(_$))->Matrix(R)`cFramedAlgebra(R,UP)``313223
ocoordinates`1`n`(Vector(_$))->Matrix(R)`cFramedNonAssociativeAlgebra(R)``313436
ocoordinates`1`n`(_$)->Vector(F)`cFiniteAlgebraicExtensionField(F)``313605
ocoordinates`1`n`(_$)->Vector(K)`dLinearElement(K,B)``313724
ocoordinates`1`n`(_$)->Vector(K)`dLinearForm(K,B)``313834
ocoordinates`1`n`(_$)->Vector(R)`cFramedAlgebra(R,UP)``313951
ocoordinates`1`n`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``314065
ocoordinates`2`n`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``314179
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(S),Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``314327
ocoordinates`2`n`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``314554
ocoordinates`2`n`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``314757
ocoordinates`2`n`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``314875
ocopies`2`n`(Integer,String)->String`pDisplayPackage``315023
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``315142
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`n`(_$,_$,Integer)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`315285
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`(_$)->_$`cAggregate``315403
ocopy`1`n`(_$)->_$`cIntegerNumberSystem``315567
ocopy`1`n`(_$)->_$`cThreeSpaceCategory(R)``315615
ocopy`1`n`(_$)->_$`dBasicOperator``315708
ocopy`1`n`(_$)->_$`dPattern(R)``315760
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``315820
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``315878
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)``315914
ocos2sec`1`n`(F)->F`pTranscendentalManipulations(R,F)``315970
ocosIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``316068
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``316155
ocos`1`n`(E)->_$`dFourierComponent(E)``316387
ocos`1`n`(F)->F`pElementaryFunction(R,F)``316453
ocos`1`n`(S)->S`xComplexCategory&(S,R)``0
ocos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``316514
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``316581
ocos`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``316648
ocos`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``316716
ocos`1`n`(_$)->_$`cTrigonometricFunctionCategory``316786
ocosh2sech`1`n`(F)->F`pTranscendentalManipulations(R,F)``316839
ocoshIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``316941
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``317030
ocosh`1`n`(S)->S`xComplexCategory&(S,R)``0
ocosh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``317103
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``317186
ocosh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``317269
ocosh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``317349
ocosh`1`n`(_$)->_$`cHyperbolicFunctionCategory``317431
ocot2tan`1`n`(F)->F`pTranscendentalManipulations(R,F)``317496
ocot2trig`1`n`(F)->F`pTranscendentalManipulations(R,F)``317594
ocotIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``317698
ocot`1`n`(F)->F`pElementaryFunction(R,F)``317785
ocot`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``317849
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``317919
ocot`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``317989
ocot`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``318060
ocot`1`n`(_$)->_$`cTrigonometricFunctionCategory``318133
ocoth2tanh`1`n`(F)->F`pTranscendentalManipulations(R,F)``318189
ocoth2trigh`1`n`(F)->F`pTranscendentalManipulations(R,F)``318291
ocothIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``318400
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``318489
ocoth`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``318565
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``318651
ocoth`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``318737
ocoth`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``318820
ocoth`1`n`(_$)->_$`cHyperbolicFunctionCategory``318905
ocountRealRootsMultiple`1`n`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`318973
ocountRealRoots`1`n`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``319080
ocount`2`n`((Entry)->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((R)->Boolean,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xCollection&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`319150
ocount`2`n`(Entry,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(R,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`(Record(key:Key,entry:Entry),S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(S,A)->NonNegativeInteger`xCollection&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`(S,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`319403
ocountable?`1`n`(_$)->Boolean`dCardinalNumber``319591
ocreate3Space`0`n`()->_$`cThreeSpaceCategory(R)``319729
ocreate3Space`1`n`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``319871
ocreateGenericMatrix`1`n`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``320013
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``320210
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``320364
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``320718
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``320926
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``321046
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`n`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`321339
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``321610
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``321737
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`n`()->_$`cFiniteFieldCategory``321953
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``322064
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``322262
ocreateRandomElement`2`n`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``322395
ocreateThreeSpace`0`n`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``322504
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``322663
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``323099
ocrest`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``323135
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``323177
ocritBonD`2`n`(Dpol,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``323211
ocritMTonD1`1`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``323248
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``323287
ocritMonD1`2`n`(Expon,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``323321
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``323359
ocritpOrder`2`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``323393
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``323432
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`n`(_$,_$)->_$`cPointCategory(R)``323652
ocross`2`n`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`323802
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``323952
ocsc2sin`1`n`(F)->F`pTranscendentalManipulations(R,F)``324166
ocscIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``324264
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``324351
ocsc`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``324414
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``324483
ocsc`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``324552
ocsc`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``324622
ocsc`1`n`(_$)->_$`cTrigonometricFunctionCategory``324694
ocsch2sinh`1`n`(F)->F`pTranscendentalManipulations(R,F)``324749
ocschIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``324851
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``324940
ocsch`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``325015
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``325100
ocsch`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``325185
ocsch`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``325267
ocsch`1`n`(_$)->_$`cHyperbolicFunctionCategory``325351
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``325418
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``325469
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``325506
ocup`2`n`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``325549
ocurrentCategoryFrame`0`n`()->_$`dScope``325740
ocurrentEnv`0`n`()->_$`dEnvironment``325825
ocurrentScope`0`n`()->_$`dScope``325874
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``325941
ocurryLeft`2`n`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``326034
ocurryRight`2`n`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``326133
ocurry`2`n`((A)->C,A)->()->C`pMappingPackage2(A,C)``326233
ocurve?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``326322
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``326547
ocurveColor`1`n`(Float)->_$`dDrawOption``326773
ocurveColor`1`n`(Palette)->_$`dDrawOption``326916
ocurve`1`n`(List(Point(R)))->_$`cThreeSpaceCategory(R)``327086
ocurve`1`n`(_$)->List(Point(R))`cThreeSpaceCategory(R)``327276
ocurve`2`n`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``327515
ocurve`2`n`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``327616
ocurve`2`n`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``327964
ocurve`3`n`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``328129
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``328249
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)``328396
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`n`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``328532
ocyclePartition`1`n`(_$)->Partition`dPermutation(S)``328672
ocycleRagits`1`n`(_$)->List(Integer)`dRadixExpansion(bb)``328815
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`329034
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)``329440
ocycle`1`n`(List(S))->_$`cPermutationCategory(S)``329530
ocycles`1`n`(List(List(S)))->_$`cPermutationCategory(S)``329757
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(_$)->Boolean`cRecursiveAggregate(S)``330087
ocyclic?`1`n`(_$)->Boolean`dTree(S)``330143
ocyclicCopy`1`n`(_$)->_$`dTree(S)``330204
ocyclicEntries`1`n`(_$)->List(_$)`dTree(S)``330283
ocyclicEqual?`2`n`(_$,_$)->Boolean`dTree(S)``330367
ocyclicGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``330453
ocyclicGroup`1`n`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``330634
ocyclicParents`1`n`(_$)->List(_$)`dTree(S)``330752
ocyclicSubmodule`2`n`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`330838
ocyclic`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``331468
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``331564
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``331621
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``331678
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``331722
ocyclotomic`2`n`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``331926
ocylindrical`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``331970
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``332201
odark`1`n`(Color)->_$`dPalette``332621
odatalist`1`n`(List(S))->_$`dDataList(S)``332713
oddFact`2`n`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``332772
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``333061
odebug`1`n`(Boolean)->Boolean`dPlot``333154
odec`1`n`(_$)->_$`cIntegerNumberSystem``333241
odecimal`1`n`(Fraction(Integer))->_$`dDecimalExpansion``333284
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``333360
odeclare!`3`n`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``333484
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``333602
odeclare!`3`n`(Symbol,FortranType,_$)->FortranType`dSymbolTable``333703
odeclare!`4`n`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``333814
odeclare!`4`n`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``333958
odeclare`1`n`(List(_$))->Symbol`dInputForm``334101
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``334450
odecompose`1`n`(UP)->List(UP)`pPolynomialDecomposition(UP,F)``334685
odecompose`1`n`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``334727
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``334809
odecompose`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Union(Record(left:UP,right:UP),"failed")`pPolynomialDecomposition(UP,F)``335161
odecompose`4`n`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`n`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`n`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`n`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecreasePrecision`1`n`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`335207
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``335347
odeepExpand`1`n`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``335387
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``335431
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``335610
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``335913
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``336385
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``336528
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``336669
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`n`()->UP`cMonogenicAlgebra(R,UP)``336763
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`336865
odefiningPolynomial`1`n`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``337008
odefiningPolynomial`1`n`(_$)->_$`cExpressionSpace`has(_$,Ring)`337122
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``337216
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``337381
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``337669
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``337866
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`(_$)->E`cAbelianMonoidRing(R,E)``337986
odegree`1`n`(_$)->E`cGradedModule(R,E)``338073
odegree`1`n`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``338194
odegree`1`n`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``338277
odegree`1`n`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``338418
odegree`1`n`(_$)->Integer`dDeRhamComplex(CoefRing,listIndVar)``338545
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``338633
odegree`1`n`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``338671
odegree`1`n`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``338777
odegree`1`n`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``338874
odegree`1`n`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``338966
odegree`1`n`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``339063
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``339179
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``339247
odegree`1`n`(_$)->NonNegativeInteger`dPermutation(S)``339409
odegree`1`n`(_$)->NonNegativeInteger`dPermutationGroup(S)``339496
odegree`1`n`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``339599
odegree`1`n`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``339788
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)``339912
odegree`2`n`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``340018
odegree`2`n`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``340155
odegree`2`n`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``340335
odelay`1`n`(()->_$)->_$`dStream(S)``340440
odelete!`2`n`(A,Integer)->A`xListAggregate&(A,S)``0
odelete!`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
odelete!`2`n`(_$,Integer)->_$`cExtensibleLinearAggregate(S)``340593
odelete!`2`n`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``340686
odeleteProperty!`2`n`(_$,Identifier)->_$`dBasicOperator``340792
odeleteProperty!`2`n`(_$,String)->_$`dBasicOperator``340954
odelete`2`n`(A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(_$,Integer)->_$`cLinearAggregate(S)``341116
odelete`2`n`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``341316
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``341535
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``341677
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``341905
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``342101
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``342417
odenom`1`n`(_$)->S`cQuotientFieldCategory(S)``342474
odenom`1`n`(_$)->S`dLocalAlgebra(A,R,S)``342547
odenom`1`n`(_$)->S`dLocalize(M,R,S)``342606
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``342665
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``342777
odenom`1`n`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`342889
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`n`(_$)->_$`cFunctionSpace(R)`has(R,IntegralDomain)`343001
odenominator`1`n`(_$)->_$`cQuotientFieldCategory(S)``343083
odenominators`1`n`(_$)->Stream(R)`dContinuedFraction(R)``343173
odepth`1`n`(_$)->NonNegativeInteger`cStackAggregate(S)``343375
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``343485
odequeue!`1`n`(_$)->S`cQueueAggregate(S)``343547
odequeue`0`n`()->_$`cDequeueAggregate(S)``343739
odequeue`1`n`(List(S))->_$`cDequeueAggregate(S)``343816
odequeue`1`n`(List(S))->_$`dDequeue(S)``343991
oderef`1`n`(_$)->S`dReference(S)``344166
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``344231
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`n`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`344409
oderivative`1`n`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``344495
oderivative`2`n`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``344621
oderivative`2`n`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``344871
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``345177
odestruct`1`n`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``345296
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``345373
odeterminant`1`n`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``345508
odeterminant`1`n`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`345643
odeterminant`1`n`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`345756
odiag`1`n`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``345833
odiagonal?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
odiagonal?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
odiagonal?`1`n`(_$)->Boolean`cMatrixCategory(R,Row,Col)``345925
odiagonal?`1`n`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``346119
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(R))->_$`cMatrixCategory(R,Row,Col)``346313
odiagonalMatrix`1`n`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``346418
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(_$))->_$`cMatrixCategory(R,Row,Col)``346523
odiagonalMatrix`1`n`(Vector(R))->_$`dMatrix(R)``347020
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``347133
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`n`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``347241
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`n`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``347350
odiagonals`2`n`(_$,String)->Void`dThreeDimensionalViewport``347457
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`n`()->_$`cDictionaryOperations(S)``347798
odictionary`1`n`(List(S))->A`xDictionary&(A,S)``0
odictionary`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
odictionary`1`n`(List(S))->_$`cDictionaryOperations(S)``347881
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``348008
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`n`(_$,S)->_$`cSetAggregate(S)``348079
odifference`2`n`(_$,_$)->_$`cSetAggregate(S)``348333
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`n`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``348744
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`xDifferentialSpace&(S)``0
odifferentiate`1`n`(S)->S`xDifferentialSpaceExtension&(S,R)``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`n`(_$)->T`cDifferentialDomain(T)``348878
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`xPartialDifferentialSpace&(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`xPartialDifferentialSpace&(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`xDifferentialSpaceExtension&(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`xDifferentialSpaceExtension&(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`xDifferentialSpace&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``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`xDifferentialSpaceExtension&(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`(_$,(F)->F)->F`dIntegrationResult(F)``348944
odifferentiate`2`n`(_$,(R)->R)->_$`cDifferentialSpaceExtension(R)``349044
odifferentiate`2`n`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``349164
odifferentiate`2`n`(_$,List(S))->_$`cPartialDifferentialSpace(S)``349272
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`cDifferentialSpace``349429
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``349517
odifferentiate`2`n`(_$,S)->T`cPartialDifferentialDomain(T,S)``349691
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`349794
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`xPartialDifferentialSpace&(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`xPartialDifferentialSpace&(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`xDifferentialSpaceExtension&(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`xDifferentialSpaceExtension&(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`xDifferentialSpaceExtension&(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`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialSpaceExtension(R)``349878
odifferentiate`3`n`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)``350019
odifferentiate`3`n`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialSpace(S)``350188
odifferentiate`3`n`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialSpace(S)``350302
odigamma`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``350464
odigamma`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``350586
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``350708
odigamma`1`n`(_$)->_$`cSpecialFunctionCategory``350782
odigit?`1`n`(_$)->Boolean`dCharacter``350905
odigit`0`n`()->_$`dCharacterClass``351002
odigits`0`n`()->PositiveInteger`cFloatingPointSystem``351118
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``351188
odigits`1`n`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`351258
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``351355
odigits`1`n`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``351452
odihedralGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``351530
odihedralGroup`1`n`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``351716
odihedral`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``351828
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``351928
odilog`1`n`(_$)->_$`cLiouvillianFunctionCategory``351975
odim`1`n`(Color)->_$`dPalette``352099
odimensionOfIrreducibleRepresentation`1`n`(List(PositiveInteger))->NonNegativeInteger`pIrrRepSymNatPackage``352191
odimension`0`n`()->CardinalNumber`cVectorSpace(S)``352419
odimension`0`n`()->CardinalNumber`xDirectProductCategory&(S,dim,R)``0
odimension`0`n`()->CardinalNumber`xFiniteAlgebraicExtensionField&(S,F)``0
odimension`0`n`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``352493
odimension`1`n`(_$)->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``352551
odimension`1`n`(_$)->PositiveInteger`cPointCategory(R)``352702
odimension`2`n`(_$,List(VarSet))->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``352783
odimensionsOf`1`n`(_$)->List(Polynomial(Integer))`dFortranType``352887
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``352952
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``353404
odioSolve`1`n`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``353852
odiophantineSystem`2`n`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``354029
odirectProduct`1`n`(Vector(R))->_$`cDirectProductCategory(dim,R)``354156
odirectSum`2`n`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`354300
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``354494
odirection`1`n`(String)->Integer`pToolsForSign(R)``354725
odirectory`1`n`(_$)->String`cFileNameCategory``354766
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`n`(_$)->NonNegativeInteger`cFiniteFieldCategory``354838
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`n`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``354967
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``355065
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``355231
odiscriminant`0`n`()->R`cFramedAlgebra(R,UP)``355375
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``355434
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`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``355493
odiscriminant`1`n`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`355585
odiscriminant`1`n`(polR)->R`pPseudoRemainderSequence(R,polR)``355668
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`n`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`355785
odisjunction`2`n`(_$,_$)->_$`dPropositionalFormula(T)``355907
odisplay`1`n`(String)->Void`dMathMLFormat``356007
odisplay`1`n`(_$)->Maybe((List(OutputForm))->OutputForm)`dBasicOperator``356078
odisplay`1`n`(_$)->Void`dDatabase(S)``356206
odisplay`1`n`(_$)->Void`dIndexCard``356291
odisplay`1`n`(_$)->Void`dTexFormat``356385
odisplay`2`n`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``356569
odisplay`2`n`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``356786
odisplay`2`n`(_$,Integer)->Void`dTexFormat``357021
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)``357167
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`n`(_$,_$)->Integer`cRecursiveAggregate(S)``357690
odistdfact`2`n`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:Integer)))`pDistinctDegreeFactorize(F,FP)``357787
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`n`(_$)->_$`cExpressionSpace``358009
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`n`(_$,_$)->_$`cExpressionSpace``358192
odiv`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dOrderedFreeMonoid(S)``358425
odiv`2`n`(_$,_$)->_$`dOutputForm``358664
odivideExponents`2`n`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``358721
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``358953
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``359286
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`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``359425
odivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``359657
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`cFreeMonoidCategory(S)``359740
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``359961
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``360104
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``360472
odivisor`1`n`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``360920
odivisor`1`n`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``360994
odivisor`2`n`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``361065
odivisor`3`n`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``361169
odivisor`5`n`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``361334
odivisors`1`n`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``361645
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``361715
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``361775
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``361835
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``361895
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``361984
odn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``362070
odom`1`n`(_$)->SExpression`dAny``362159
odomainTemplate`1`n`(_$)->DomainTemplate`dFunctorData``362285
odomain`0`n`()->_$`dConstructorKind``362394
odominantTerm`1`n`(_$)->Union(Record(%term:Record(%coef:UnivariatePuiseuxSeries(FE,var,cen),%expon:ExponentialOfUnivariatePuiseuxSeries(FE,var,cen),%expTerms:List(Record(k:Fraction(Integer),c:FE))),%type:String),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``362445
odot`1`n`(_$)->_$`dOutputForm``362854
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``362917
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``363097
odot`2`n`(_$,_$)->R`cDirectProductCategory(dim,R)`has(R,Ring)`363175
odot`2`n`(_$,_$)->R`cVectorCategory(R)`has(R,Ring)`363263
odouble?`1`n`(_$)->Boolean`dFortranScalarType``363415
odoubleComplex?`1`n`(_$)->Boolean`dFortranScalarType``363514
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``363634
odoubleFloatFormat`1`n`(String)->String`dOutputForm``363676
odoubleRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``363751
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``363911
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``364099
odoublyTransitive?`1`n`(UP)->Boolean`pAlgFactor(UP)``364183
odrawComplexVectorField`3`n`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``364406
odrawComplex`4`n`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``365144
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``365983
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``366201
odrawStyle`2`n`(_$,String)->Void`dThreeDimensionalViewport``366605
odrawToScale`0`n`()->Boolean`pGraphicsDefaults``367000
odrawToScale`1`n`(Boolean)->Boolean`pGraphicsDefaults``367086
odraw`1`n`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``367283
odraw`2`n`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``367369
odraw`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``367491
odraw`2`n`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``367629
odraw`2`n`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``367796
odraw`2`n`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``367935
odraw`2`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``368111
odraw`2`n`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``368273
odraw`2`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``368490
odraw`2`n`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``368666
odraw`3`n`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``368905
odraw`3`n`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``369117
odraw`3`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``369343
odraw`3`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``369532
odraw`3`n`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``369827
odraw`3`n`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``370086
odraw`3`n`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``370328
odraw`3`n`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``370520
odraw`3`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``370749
odraw`3`n`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``371001
odraw`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``371310
odraw`3`n`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``371574
odraw`3`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``371909
odraw`3`n`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``372176
odraw`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``372500
odraw`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``372783
odraw`4`n`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``373079
odraw`4`n`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``373267
odraw`4`n`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``373601
odraw`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``373845
odraw`4`n`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``374210
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``374640
odualSignature`1`n`(S)->List(Boolean)`xConstructorCategory&(S)``0
odualSignature`1`n`(_$)->List(Boolean)`cConstructorCategory``374698
odual`1`n`(DualBasis(vars))->_$`dLinearBasis(vars)``374997
odual`1`n`(LinearBasis(vars))->_$`dDualBasis(vars)``375088
odual`1`n`(PropositionalFormula(T))->PropositionalFormula(T)`pPropositionalFormulaFunctions1(T)``375182
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``375249
oduplicates`1`n`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``375330
oe`1`n`(PositiveInteger)->_$`dCliffordAlgebra(n,K,Q)``375417
oeigenMatrix`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``375475
oeigenvalues`1`n`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)``375620
oeigenvector`2`n`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``375767
oeigenvectors`1`n`(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)``375895
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``376256
oelColumn2!`4`n`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``376418
oelRow1!`3`n`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``376560
oelRow2!`4`n`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``376678
oelaborateFile`1`n`(String)->List(Maybe(Elaboration))`pCompilerPackage``0
oelaborate`1`n`(SpadAst)->Maybe(Elaboration)`pCompilerPackage``376811
oelaboration`3`n`(InternalRepresentationForm,InternalTypeForm,Environment)->_$`dElaboration``376919
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``377093
oelement?`2`n`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``377170
oelementary`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``377267
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``377391
oelements`1`n`(_$)->List(SpadAst)`dConstructAst``377483
oellipticCylindrical`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``377568
oelliptic`0`n`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``377839
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``377966
oelliptic`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``378093
oelseBranch`1`n`(_$)->SpadAst`dIfAst``378316
oelt`1`n`(_$)->R`dCartesianTensor(minix,dim,R)``378378
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"left")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"right")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xStreamAggregate&(A,S)``0
oelt`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,List(S))->S`xFunctionSpace&(S,R)``0
oelt`2`n`(BasicOperator,List(_$))->_$`cExpressionSpace``378439
oelt`2`n`(BasicOperator,List(_$))->_$`dPattern(R)``378579
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace&(S,R)``0
oelt`2`n`(BasicOperator,_$)->_$`cExpressionSpace``378644
oelt`2`n`(Fraction(S),Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(S),R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`378741
oelt`2`n`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`378876
oelt`2`n`(S,Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Index)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`2`n`(S,Integer)->Character`xStringAggregate&(S)``0
oelt`2`n`(S,Key)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`2`n`(S,R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,R)->S`xFullyEvalableOver&(S,R)``0
oelt`2`n`(S,S)->S`xStringAggregate&(S)``0
oelt`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,UniversalSegment(Integer))->S`xStringAggregate&(S)``0
oelt`2`n`(_$,"count")->NonNegativeInteger`dDataList(S)``379024
oelt`2`n`(_$,"first")->S`cUnaryRecursiveAggregate(S)``379108
oelt`2`n`(_$,"last")->S`cUnaryRecursiveAggregate(S)``379211
oelt`2`n`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``379311
oelt`2`n`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``379406
oelt`2`n`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``379513
oelt`2`n`(_$,"sort")->_$`dDataList(S)``379611
oelt`2`n`(_$,"unique")->_$`dDataList(S)``379732
oelt`2`n`(_$,"value")->S`cRecursiveAggregate(S)``379873
oelt`2`n`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``379970
oelt`2`n`(_$,List(OutputForm))->_$`dSymbol``380048
oelt`2`n`(_$,List(_$))->_$`dOutputForm``380169
oelt`2`n`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``380268
oelt`2`n`(_$,QueryEquation)->_$`dDatabase(S)``380349
oelt`2`n`(_$,S)->T`cEltable(S,T)``380447
oelt`2`n`(_$,Symbol)->DataList(String)`dDatabase(S)``380587
oelt`2`n`(_$,Symbol)->String`dIndexCard``380684
oelt`2`n`(_$,_$)->_$`cStringAggregate``380882
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`(BasicOperator,_$,_$)->_$`cExpressionSpace``381097
oelt`3`n`(S,F,F)->F`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oelt`3`n`(S,Index,Entry)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`3`n`(S,Integer,Character)->Character`xStringAggregate&(S)``0
oelt`3`n`(S,Integer,Integer)->R`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,Integer)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`n`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``381222
oelt`3`n`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``381591
oelt`3`n`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``381731
oelt`3`n`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``381852
oelt`3`n`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``381981
oelt`3`n`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``382143
oelt`3`n`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``382311
oelt`3`n`(_$,List(Integer),List(Integer))->_$`cMatrixCategory(R,Row,Col)``382374
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`(BasicOperator,_$,_$,_$)->_$`cExpressionSpace``382716
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`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``382868
oelt`4`n`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``382933
oelt`4`n`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``383143
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`5`n`(BasicOperator,_$,_$,_$,_$)->_$`cExpressionSpace``383351
oelt`5`n`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``383527
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(_$)->Boolean`cAggregate``383594
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``383652
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``383776
oempty`0`n`()->_$`cAggregate``383874
oempty`0`n`()->_$`dEnvironment``384074
oempty`0`n`()->_$`dOutputForm``384128
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``384173
oempty`0`n`()->_$`dScope``384233
oempty`0`n`()->_$`dSplittingNode(V,C)``384279
oempty`0`n`()->_$`dSymbolTable``384389
oempty`0`n`()->_$`dTheSymbolTable``384447
oencodingDirectory`1`n`(_$)->PrimitiveArray(NonNegativeInteger)`dFunctorData``384506
oendOfFile?`1`n`(_$)->Boolean`dTextFile``384597
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``384770
oenqueue!`2`n`(S,_$)->S`cQueueAggregate(S)``384865
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``384951
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``385144
oenterPointData`2`n`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``385388
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`n`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``385587
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`n`(Entry,_$)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(Entry,SetCategory))`385689
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``385793
oenvironment`1`n`(_$)->Environment`dElaboration``385889
oeof?`1`n`(_$)->Boolean`dInputBinaryFile``385971
oepilogue`1`n`(_$)->List(String)`dTexFormat``386043
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`n`(_$,_$)->Boolean`cAggregate``386123
oeq`2`n`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``386195
oeq`2`n`(_$,_$)->Boolean`dRuntimeValue``386292
oequality`2`n`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``386396
oequation`2`n`(S,S)->_$`dEquation(S)``386696
oequation`2`n`(Symbol,S)->_$`dRangeBinding(S,T)``386745
oequation`2`n`(Symbol,Segment(S))->_$`dSegmentBinding(S)``0
oequation`2`n`(Symbol,String)->_$`dQueryEquation``386908
oequiv`2`n`(_$,_$)->_$`cPropositionalLogic``386962
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``387034
oerf`1`n`(_$)->_$`cLiouvillianFunctionCategory``387082
oerror`1`n`(List(String))->Exit`pErrorFunctions``387229
oerror`1`n`(String)->Exit`pErrorFunctions``387306
oerror`2`n`(String,List(String))->Exit`pErrorFunctions``387381
oerror`2`n`(String,String)->Exit`pErrorFunctions``387549
oescape`0`n`()->_$`dCharacter``387714
oeuclideanGroebner`1`n`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``387767
oeuclideanGroebner`2`n`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``387924
oeuclideanGroebner`3`n`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``388257
oeuclideanNormalForm`2`n`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``388560
oeuclideanSize`1`n`(S)->NonNegativeInteger`xComplexCategory&(S,R)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xField&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xIntegerNumberSystem&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oeuclideanSize`1`n`(_$)->NonNegativeInteger`cEuclideanDomain``388742
oeulerE`2`n`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`388853
oeulerPhi`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``388893
oeuler`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``389110
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``389257
oeval`1`n`(S)->S`xFunctionSpace&(S,R)``0
oeval`1`n`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``389558
oeval`1`n`(_$)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`389628
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``389697
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`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``389922
oeval`2`n`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``390040
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)``390281
oeval`2`n`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(**,Coef(Coef,Expon)))`390425
oeval`2`n`(_$,Equation(R))->_$`cEvalable(R)``390543
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``390614
oeval`2`n`(_$,List(Equation(R)))->_$`cEvalable(R)``390754
oeval`2`n`(_$,List(Symbol))->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`390844
oeval`2`n`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`390927
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``391027
oeval`2`n`(_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`391167
oeval`2`n`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`391230
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`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``391313
oeval`3`n`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``391516
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)``391597
oeval`3`n`(_$,A,B)->_$`cInnerEvalable(A,B)``391670
oeval`3`n`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``391741
oeval`3`n`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``391874
oeval`3`n`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``391974
oeval`3`n`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``392067
oeval`3`n`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``392224
oeval`3`n`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``392346
oeval`3`n`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``392503
oeval`3`n`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``392625
oeval`3`n`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``392776
oeval`3`n`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``392909
oeval`3`n`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``393009
oeval`4`n`(S,BasicOperator,S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(BasicOperator),List(S),Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(_$,BasicOperator,_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`393130
oeval`4`n`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`393268
oeval`4`n`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`393428
oeval`4`n`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`393595
oeval`4`n`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`393734
oeval`4`n`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`393868
oevaluateInverse`2`n`(_$,(M)->M)->_$`dModuleOperator(R,M)``393974
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`1`n`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``394023
oevaluate`2`n`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``394147
oevaluate`2`n`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``394379
oevaluate`2`n`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``394602
oevaluate`2`n`(_$,(M)->M)->_$`dModuleOperator(R,M)``394774
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`n`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`395099
oeven?`1`n`(_$)->Boolean`cIntegerNumberSystem``395168
oeven?`1`n`(_$)->Boolean`dPermutation(S)``395244
oevenInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``395375
oevenInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``395519
oevenInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``395663
oevenInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``395807
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``395951
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``396276
oevery?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oevery?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xCollection&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`396654
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``396894
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``396933
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``396972
oexactQuotient!`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`397011
oexactQuotient!`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`397135
oexactQuotient`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`397237
oexactQuotient`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`397463
oexists?`1`n`(_$)->Boolean`cFileNameCategory``397668
oexp1`0`n`()->_$`dDoubleFloat``397738
oexp1`0`n`()->_$`dFloat``397811
oexpIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``397871
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``397958
oexp`1`n`(F)->F`pElementaryFunction(R,F)``398412
oexp`1`n`(LiePolynomial(VarSet,R))->_$`dLieExponentials(VarSet,R,Order)``398478
oexp`1`n`(List(Integer))->_$`dAntiSymm(R,lVar)``398552
oexp`1`n`(S)->S`xComplexCategory&(S,R)``0
oexp`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``398623
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``398699
oexp`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``398775
oexp`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``398848
oexp`1`n`(_$)->_$`cElementaryFunctionCategory``398923
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``398986
oexp`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`399108
oexpandLog`1`n`(F)->F`pTranscendentalManipulations(R,F)``399234
oexpandPower`1`n`(F)->F`pTranscendentalManipulations(R,F)``399401
oexpandTrigProducts`1`n`(F)->F`pTranscendentalManipulations(R,F)`AND(has(R,ConvertibleTo(Pattern(R))),has(R,PatternMatchable(R)),has(F,ConvertibleTo(Pattern(R))),has(F,PatternMatchable(R)))`399517
oexpand`1`n`(F)->F`pTranscendentalManipulations(R,F)``399959
oexpand`1`n`(IntegrationResult(F))->List(F)`pIntegrationResultToFunction(R,F)``400362
oexpand`1`n`(IntegrationResult(Fraction(Polynomial(R))))->List(Expression(R))`pIntegrationResultRFToFunction(R)``400457
oexpand`1`n`(List(_$))->L`cSegmentExpansionCategory(S,L)``400552
oexpand`1`n`(_$)->L`cSegmentExpansionCategory(S,L)``400784
oexpand`1`n`(_$)->R`dFactored(R)``400963
oexpand`1`n`(_$)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``401176
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``401238
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)``401280
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``401637
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)``401727
oexpintfldpoly`2`n`(LaurentPolynomial(F,UP),(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Union(LaurentPolynomial(F,UP),"failed")`pTranscendentalIntegration(F,UP)``401942
oexplicitEntries?`1`n`(_$)->Boolean`cLazyStreamAggregate(S)``402127
oexplicitlyEmpty?`1`n`(_$)->Boolean`cLazyStreamAggregate(S)``402267
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(_$)->Boolean`cStreamAggregate(S)``402432
oexplimitedint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``402649
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``403016
oexponent`1`n`(_$)->E`dModuleMonomial(IS,E,ff)``403153
oexponent`1`n`(_$)->Integer`cFloatingPointSystem``403193
oexponent`1`n`(_$)->Integer`dFactored(R)``403293
oexponent`1`n`(_$)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``403438
oexponential1`0`n`()->Float`pRandomFloatDistributions``403492
oexponentialOrder`1`n`(_$)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``403535
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``403648
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``403691
oexponents`1`n`(_$)->List(Integer)`dExtAlgBasis``403827
oexportedOperators`1`n`(_$)->List(OperatorSignature)`dCategory``403988
oexprToGenUPS`3`n`(FE,Boolean,String)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``404128
oexprToUPS`3`n`(FE,Boolean,String)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``406223
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``408305
oexpr`1`n`(_$)->Expr`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``408611
oexpressIdealMember`2`n`(List(S),S)->Maybe(List(S))`xEuclideanDomain&(S)``0
oexpressIdealMember`2`n`(List(_$),_$)->Maybe(List(_$))`cPrincipalIdealDomain``408734
oexpression`1`n`(_$)->SpadAst`dCoerceAst``408938
oexpression`1`n`(_$)->SpadAst`dExitAst``409006
oexpression`1`n`(_$)->SpadAst`dPretendAst``409070
oexpression`1`n`(_$)->SpadAst`dQuasiquoteAst``409138
oexpression`1`n`(_$)->SpadAst`dRestrictAst``409218
oexpression`1`n`(_$)->SpadAst`dReturnAst``409286
oexprex`1`n`(OutputForm)->String`dMathMLFormat``409354
oexptMod`3`n`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``409758
oexptMod`4`n`(U,Integer,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``409874
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``410026
oexquo`2`n`(S,R)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xMatrixCategory&(S,R,Row,Col)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xEuclideanDomain&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xField&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(Stream(A),Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``410086
oexquo`2`n`(Vector(polR),R)->Vector(polR)`pPseudoRemainderSequence(R,polR)``410221
oexquo`2`n`(_$,R)->Union(_$,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`410328
oexquo`2`n`(_$,R)->Union(_$,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,IntegralDomain)`410466
oexquo`2`n`(_$,R)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`410584
oexquo`2`n`(_$,R)->Union(_$,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`410732
oexquo`2`n`(_$,R)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`410880
oexquo`2`n`(_$,_$)->Union(_$,"failed")`cIntegralDomain``411005
oexquo`2`n`(_$,_$)->Union(_$,"failed")`dNonNegativeInteger``411133
oexquo`2`n`(_$,_$)->_$`dOutputForm``411273
oextendIfCan`2`n`(_$,P)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``411333
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),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``411918
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``412013
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``412168
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``412261
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`n`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``412555
oextend`2`n`(_$,Integer)->_$`cLazyStreamAggregate(S)``412648
oextend`2`n`(_$,Integer)->_$`cPAdicIntegerCategory(p)``412868
oextend`2`n`(_$,Integer)->_$`dContinuedFraction(R)``412949
oextend`2`n`(_$,List(R))->_$`cPointCategory(R)``413126
oextend`2`n`(_$,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``413168
oextend`2`n`(_$,P)->_$`cTriangularSetCategory(R,E,V,P)``413261
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`n`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cEuclideanDomain``413570
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`n`(_$,_$,_$)->Union(Record(coef1:_$,coef2:_$),"failed")`cEuclideanDomain``413939
oextendedIntegrate`3`n`(Fraction(Polynomial(F)),Symbol,Fraction(Polynomial(F)))->Union(Record(ratpart:Fraction(Polynomial(F)),coeff:Fraction(Polynomial(F))),"failed")`pRationalFunctionIntegration(F)``414147
oextendedResultant`2`n`(_$,_$)->Record(resultant:R,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`414322
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`414530
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`414738
oextendedint`2`n`(Fraction(UP),Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pRationalIntegration(F,UP)``414979
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``415139
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``415280
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``415351
oextension`1`n`(_$)->String`cFileNameCategory``415422
oexteriorDifferential`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``415489
oexternal?`1`n`(_$)->Boolean`dFortranType``415636
oexternalList`1`n`(_$)->List(Symbol)`dSymbolTable``415722
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`n`(_$)->S`cBagAggregate(S)``415811
oextractBottom!`1`n`(_$)->S`cDequeueAggregate(S)``415894
oextractClosed`1`n`(_$)->Boolean`dSubSpace(n,R)``416031
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``416265
oextractIndex`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``416352
oextractPoint`1`n`(_$)->Point(R)`dSubSpace(n,R)``416480
oextractProperty`1`n`(_$)->SubSpaceComponentProperty`dSubSpace(n,R)``416639
oextractSplittingLeaf`1`n`(_$)->Union(_$,"failed")`dSplittingTree(V,C)``416790
oextractTop!`1`n`(_$)->S`cDequeueAggregate(S)``416934
oeyeDistance`2`n`(_$,Float)->Void`dThreeDimensionalViewport``417066
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`417264
ofactorAndSplit`1`n`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`417372
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``417549
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``417777
ofactorFraction`1`n`(Fraction(Polynomial(R)))->Fraction(Factored(Polynomial(R)))`pRationalFunctionFactorizer(R)``418005
ofactorGroebnerBasis`1`n`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``418116
ofactorGroebnerBasis`2`n`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``418262
ofactorList`1`n`(_$)->List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer))`dFactored(R)``418500
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``418596
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``418644
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``418778
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``418861
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``419042
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``419179
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``419413
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`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``419760
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`419877
ofactorSFBRlcUnit`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``419927
ofactorSFBRlcUnit`2`n`(List(VarSet),SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``420177
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``420427
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``420709
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`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``420991
ofactorSquareFree`1`n`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``421187
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``421297
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``421409
ofactorSquareFree`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``421553
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``421648
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``421935
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``422178
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``422514
ofactor`1`n`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``422822
ofactor`1`n`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``422917
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``423005
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`423080
ofactor`1`n`(OrderedFreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``423136
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``423224
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``423321
ofactor`1`n`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``423453
ofactor`1`n`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``423550
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``423671
ofactor`1`n`(PR)->Factored(PR)`pComplexFactorization(RR,PR)``423746
ofactor`1`n`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``423832
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``423916
ofactor`1`n`(S)->Factored(S)`xField&(S)``0
ofactor`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
ofactor`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ofactor`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
ofactor`1`n`(SparseUnivariatePolynomial(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``424007
ofactor`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``424142
ofactor`1`n`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``424327
ofactor`1`n`(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R))`pGenUFactorize(R)``424551
ofactor`1`n`(UP)->Factored(UP)`pAlgFactor(UP)``424613
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``424725
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``425034
ofactor`1`n`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``425115
ofactor`1`n`(UPA)->Factored(UPA)`pSAERationalFunctionAlgFactor(UP,SAE,UPA)``425182
ofactor`1`n`(UPA)->Factored(UPA)`pSimpleAlgebraicExtensionAlgFactor(UP,SAE,UPA)``425249
ofactor`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``425316
ofactor`1`n`(_$)->Factored(_$)`cUniqueFactorizationDomain``425378
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``425459
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``425581
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``425688
ofactor`2`n`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``425841
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``425985
ofactor`2`n`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``426221
ofactor`2`n`(U,Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``426446
ofactor`2`n`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``426631
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``426781
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``426983
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``427141
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``427378
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``427629
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``427852
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``428163
ofactorial`1`n`(I)->I`pIntegerCombinatoricFunctions(I)``428249
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`n`(_$)->_$`cCombinatorialFunctionCategory``428403
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``428568
ofactorials`1`n`(_$)->_$`cCombinatorialOpsCategory``428672
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``428776
ofactorials`2`n`(_$,Symbol)->_$`cCombinatorialOpsCategory``428902
ofactorsOfCyclicGroupSize`0`n`()->List(Record(factor:Integer,exponent:Integer))`cFiniteFieldCategory``429028
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``429114
ofactors`1`n`(_$)->List(Record(factor:R,exponent:Integer))`dFactored(R)``429225
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``429525
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`cFreeMonoidCategory(S)``429606
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``429687
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``429766
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``429828
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``429890
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``429937
ofalse`0`n`()->_$`cPropositionalLogic``429984
offactor`1`n`(UP)->Factored(UP)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``430027
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``430115
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``430277
ofibonacci`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``430462
ofigureUnits`1`n`(List(List(Point(DoubleFloat))))->List(DoubleFloat)`dGraphImage``0
ofilename`3`n`(String,String,String)->_$`cFileNameCategory``430776
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`n`(_$,Entry)->_$`cIndexedAggregate(Index,Entry)`has(_$,ATTRIBUTE(shallowlyMutable))`431025
ofill!`2`n`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``431149
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``431205
ofilterUntil`2`n`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``431264
ofilterUntil`2`n`((S)->Boolean,_$)->_$`dStream(S)``431341
ofilterWhile`2`n`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``431501
ofilterWhile`2`n`((S)->Boolean,_$)->_$`dStream(S)``431574
ofindBinding`2`n`(Identifier,_$)->Maybe(Binding)`dContour``431737
ofindBinding`2`n`(Identifier,_$)->Maybe(Binding)`dScope``431835
ofindConstructor`1`n`(Identifier)->Maybe(_$)`dConstructor``431928
ofindCycle`2`n`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``432088
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,_$)->Union(S,"failed")`cCollection(S)``432171
ofinite?`1`n`(_$)->Boolean`dCardinalNumber``432313
ofinite?`1`n`(_$)->Boolean`dOnePointCompletion(R)``432427
ofinite?`1`n`(_$)->Boolean`dOrderedCompletion(R)``432481
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``432535
ofintegrate`3`n`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`432622
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`432830
ofirstDenom`1`n`(_$)->Factored(R)`dPartialFraction(R)``433038
ofirstNumer`1`n`(_$)->R`dPartialFraction(R)``433237
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``433434
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``433550
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`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`433856
ofirst`1`n`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``434047
ofirst`1`n`(_$)->S`cUnaryRecursiveAggregate(S)``434121
ofirst`1`n`(_$)->S`dOrderedFreeMonoid(S)``434231
ofirst`1`n`(_$)->S`dPair(S,T)``434292
ofirst`1`n`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``434352
ofirst`1`n`(_$)->VarSet`dMagma(VarSet)``434508
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xStreamAggregate&(A,S)``0
ofirst`2`n`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``434593
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``434701
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``434789
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``435036
ofixedPoint`1`n`((A)->A)->A`pMappingPackage1(A)``435157
ofixedPoint`2`n`((List(A))->List(A),Integer)->List(A)`pMappingPackage1(A)``435306
ofixedPoints`1`n`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`435461
oflagFactor`3`n`(R,Integer,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``435544
oflatten`1`n`(_$)->_$`dInputForm``435723
oflexible?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``435963
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``436169
oflexibleArray`1`n`(List(S))->_$`dFlexibleArray(S)``0
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``436375
ofloat?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``436466
ofloat`1`n`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``436547
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`n`(Integer,Integer)->_$`cFloatingPointSystem``436669
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`n`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``436726
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`n`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`436780
ofloor`1`n`(_$)->_$`cRealNumberSystem``436856
ofmecg`4`n`(_$,E,R,_$)->_$`dPolynomialRing(R,E)`AND(has(R,IntegralDomain),has(E,CancellationAbelianMonoid))`436919
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dNewSparseUnivariatePolynomial(R)``437007
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dSparseUnivariatePolynomial(R)``437179
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dUnivariatePolynomial(x,R)``437267
ofmecg`4`n`(_$,Partition,R,_$)->_$`dSymmetricPolynomial(R)`AND(has(R,IntegralDomain),has(Partition,CancellationAbelianMonoid))`0
oformfeed`0`n`()->_$`dCharacter``437355
ofortranCharacter`0`n`()->_$`dFortranType``437414
ofortranComplex`0`n`()->_$`dFortranType``437494
ofortranDoubleComplex`0`n`()->_$`dFortranType``437570
ofortranDouble`0`n`()->_$`dFortranType``437659
ofortranInteger`0`n`()->_$`dFortranType``437743
ofortranLogical`0`n`()->_$`dFortranType``437819
ofortranReal`0`n`()->_$`dFortranType``437895
ofortranTypeOf`2`n`(Symbol,_$)->FortranType`dSymbolTable``437965
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``438043
ofracPart`1`n`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``438082
ofractRadix`2`n`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``438173
ofractRagits`1`n`(_$)->Stream(Integer)`dRadixExpansion(bb)``438378
ofractionFreeGauss!`1`n`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`438472
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`n`(_$)->Fraction(Integer)`dBinaryExpansion``438579
ofractionPart`1`n`(_$)->Fraction(Integer)`dDecimalExpansion``438660
ofractionPart`1`n`(_$)->Fraction(Integer)`dHexadecimalExpansion``438742
ofractionPart`1`n`(_$)->Fraction(Integer)`dRadixExpansion(bb)``438828
ofractionPart`1`n`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`438909
ofractionPart`1`n`(_$)->_$`cRealNumberSystem``439036
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(_$,Symbol)->Boolean`cExpressionSpace``439106
ofreeOf?`2`n`(_$,_$)->Boolean`cExpressionSpace``439206
ofrobenius`1`n`(_$)->_$`dModMonic(R,P)`has(R,FiniteFieldCategory)`439334
ofront`1`n`(_$)->S`cQueueAggregate(S)``439375
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`439525
ofrst`1`n`(_$)->S`cLazyStreamAggregate(S)``439616
ofullDisplay`1`n`(_$)->Void`dDatabase(S)``439798
ofullDisplay`1`n`(_$)->Void`dIndexCard``439884
ofullDisplay`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``439976
ofullPartialFraction`1`n`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``440109
ofunction`2`n`(S,Symbol)->Symbol`pMakeFunction(S)``440266
ofunction`3`n`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``440335
ofunction`3`n`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``440426
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``440499
ofunction`4`n`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``440613
ofunctorData`1`n`(_$)->FunctorData`dDomainConstructor``440691
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``440793
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``440828
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xFiniteFieldCategory&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xGcdDomain&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialFactorizationExplicit&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xUnivariatePolynomialCategory&(S,R)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cGcdDomain``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cPolynomialFactorizationExplicit``440902
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``441004
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``441092
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``441193
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``441294
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``441360
ogcd`1`n`(List(S))->S`xEuclideanDomain&(S)``0
ogcd`1`n`(List(S))->S`xField&(S)``0
ogcd`1`n`(List(S))->S`xGcdDomain&(S)``0
ogcd`1`n`(List(S))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`1`n`(List(SparseUnivariatePolynomial(P)))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``441437
ogcd`1`n`(List(_$))->_$`cGcdDomain``441514
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``441596
ogcd`2`n`(R,S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`441682
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)``441795
ogcd`2`n`(_$,_$)->_$`cGcdDomain``441881
ogcd`2`n`(_$,_$)->_$`dNonNegativeInteger``441966
ogcd`2`n`(_$,_$)->_$`dPositiveInteger``442078
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`442186
ogcd`3`n`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``442285
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``442418
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``442509
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``442603
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``442688
ogeneralInfiniteProduct`3`n`(Stream(Coef),Integer,Integer)->Stream(Coef)`pStreamInfiniteProduct(Coef)``442771
ogeneralInfiniteProduct`3`n`(UTS,Integer,Integer)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``442929
ogeneralInfiniteProduct`3`n`(UTS,Integer,Integer)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``443087
ogeneralInfiniteProduct`3`n`(UTS,Integer,Integer)->UTS`pInfiniteProductPrimeField(Coef,UTS)``443245
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``443403
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``443602
ogeneralPosition`2`n`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``443827
ogeneralSqFr`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``444015
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``444171
ogeneralizedContinuumHypothesisAssumed?`0`n`()->Boolean`dCardinalNumber``444320
ogeneralizedContinuumHypothesisAssumed`1`n`(Boolean)->Boolean`dCardinalNumber``444421
ogeneralizedEigenvector`2`n`(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``444539
ogeneralizedEigenvector`4`n`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``444721
ogeneralizedEigenvectors`1`n`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),geneigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)``445116
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``445218
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``445448
ogenerate`1`n`(()->S)->_$`dStream(S)``445582
ogenerate`2`n`((S)->S,S)->_$`dInfiniteTuple(S)``445728
ogenerate`2`n`((S)->S,S)->_$`dStream(S)``445793
ogenerate`2`n`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``446020
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`n`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`446331
ogenerator`0`n`()->_$`cMonogenicAlgebra(R,UP)``446470
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``446535
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``446627
ogenerator`1`n`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``446713
ogenerator`1`n`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``446777
ogenerators`1`n`(_$)->List(DPoly)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``446881
ogenerators`1`n`(_$)->List(Permutation(S))`dPermutationGroup(S)``446962
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``447037
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`447112
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`447446
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`447591
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`447864
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`448009
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``448251
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`448394
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`448729
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`448879
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`449119
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`449269
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``449476
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``449640
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``449801
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``450005
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``450171
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``450327
ogensym`0`n`()->_$`dIdentifier``450553
ogenus`0`n`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``450662
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``450742
ogeometric`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``450822
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``450863
ogetConstant`1`n`(_$)->Union(SExpression,"failed")`dElaboratedExpression``451004
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``451071
ogetDatabase`1`n`(String)->Database(IndexCard)`pOperationsQuery``451215
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``451446
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``451524
ogetIdentifier`1`n`(_$)->Union(Identifier,"failed")`dElaboratedExpression``451767
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``451838
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``451997
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``452091
ogetMultiplicationMatrix`0`n`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``452185
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``452279
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``452456
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``452633
ogetOperands`1`n`(_$)->List(_$)`dSyntax``452810
ogetOperands`1`n`(_$)->Union(List(_$),"failed")`dElaboratedExpression``452892
ogetOperator`1`n`(_$)->Union(Identifier,"failed")`dElaboratedExpression``452988
ogetOperator`1`n`(_$)->Union(Integer,DoubleFloat,Identifier,String,_$)`dSyntax``453091
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``453307
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``453472
ogetProperties`2`n`(Identifier,_$)->List(Property)`dEnvironment``453775
ogetProperty`3`n`(Identifier,Identifier,_$)->Maybe(SExpression)`dEnvironment``453861
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``454021
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``454137
ogetSyntaxFormsFromFile`1`n`(String)->List(Syntax)`pParser``454226
ogetVariableOrder`0`n`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``454487
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``454666
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``454804
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``454942
ogoodPoint`2`n`(UPUP,UPUP)->F`pChangeOfVariable(F,UP,UPUP)``455071
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``455210
ogramschmidt`1`n`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``455368
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``455540
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``455688
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``455895
ographImage`0`n`()->_$`dGraphImage``456308
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``456493
ographStates`1`n`(_$)->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``457561
ographs`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``457832
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``458005
ogreen`0`n`()->_$`dColor``458345
ogreen`1`n`(_$)->T`cRGBColorModel(T)``458422
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``458483
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``458777
ogroebner?`1`n`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``458814
ogroebnerFactorize`1`n`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``458909
ogroebnerFactorize`2`n`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``459411
ogroebnerFactorize`2`n`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``459997
ogroebnerFactorize`3`n`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``460605
ogroebnerIdeal`1`n`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``461303
ogroebner`1`n`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``461515
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``461639
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``461858
ogroebner`1`n`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``462101
ogroebner`2`n`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``462207
ogroebner`3`n`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``462670
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`n`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``463054
oground?`1`n`(_$)->Boolean`cFunctionSpace(R)``463145
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`n`(_$)->R`cFiniteAbelianMonoidRing(R,E)``463215
oground`1`n`(_$)->R`cFunctionSpace(R)``463293
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``463420
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`463455
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`463634
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`463813
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`464025
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`464216
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`464428
oharmonic`1`n`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``464619
ohas?`2`n`(_$,Identifier)->Boolean`dBasicOperator``464724
ohasHi`1`n`(_$)->Boolean`dUniversalSegment(S)``464802
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``464880
ohasSolution?`2`n`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``464960
ohasSolution?`2`n`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``465049
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``465138
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`n`(_$)->SingleInteger`cSetCategory``465217
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``465276
ohclf`2`n`(_$,_$)->_$`cFreeMonoidCategory(S)``465512
ohconcat`1`n`(List(_$))->_$`dOutputForm``465688
ohconcat`2`n`(_$,_$)->_$`dOutputForm``465767
ohcrf`2`n`(_$,_$)->_$`cFreeMonoidCategory(S)``465848
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``466025
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``466114
oheadAst`2`n`(Identifier,List(ParameterAst))->_$`dHeadAst``466202
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``466279
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``466556
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`n`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``466818
oheadReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`2`n`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``467001
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`n`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``467148
oheadReduced?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``467305
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`n`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`467430
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`n`(_$)->HeadAst`dDefinitionAst``467707
ohead`1`n`(_$)->HeadAst`dMacroAst``467889
ohead`1`n`(_$)->_$`cDoublyLinkedAggregate(S)``468073
ohead`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``468189
oheapSort`2`n`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``468445
oheap`1`n`(List(S))->_$`dHeap(S)``468566
oheight`0`n`()->Integer`dOutputForm``468657
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``468733
oheight`1`n`(_$)->Integer`dOutputForm``468840
oheight`1`n`(_$)->NonNegativeInteger`cDequeueAggregate(S)``468914
oheight`1`n`(_$)->NonNegativeInteger`cExpressionSpace``469036
oheight`1`n`(_$)->NonNegativeInteger`dKernel(S)``469309
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``469372
ohenselFact`2`n`(ZP,Boolean)->Record(contp:Integer,factors:List(Record(irr:ZP,pow:Integer)))`pUnivariateFactorize(ZP)``469690
ohermiteH`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``469977
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``470139
ohermite`1`n`(M)->M`pSmithNormalForm(R,Row,Col,M)``470410
ohexDigit?`1`n`(_$)->Boolean`dCharacter``470491
ohexDigit`0`n`()->_$`dCharacterClass``470625
ohex`1`n`(Fraction(Integer))->_$`dHexadecimalExpansion``470747
ohi`1`n`(_$)->S`cSegmentCategory(S)``470823
ohighCommonTerms`2`n`(_$,_$)->_$`cFreeAbelianMonoidCategory(S,E)`has(E,OrderedAbelianMonoid)`470911
ohigh`1`n`(_$)->S`cSegmentCategory(S)``471128
ohitherPlane`2`n`(_$,Float)->Void`dThreeDimensionalViewport``471220
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``471399
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``471489
ohorizConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
ohorizConcat`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``471599
ohorizontalTab`0`n`()->_$`dCharacter``471831
ohostByteOrder`0`n`()->ByteOrder`pSystem``471886
ohostPlatform`0`n`()->String`pSystem``471914
ohost`1`n`(String)->_$`dHostname``472029
ohspace`1`n`(Integer)->_$`dOutputForm``472092
ohtrigs`1`n`(F)->F`pTranscendentalManipulations(R,F)``472155
ohue`1`n`(Point(R))->R`pPointPackage(R)``472256
ohue`1`n`(_$)->Color`dPalette``472579
ohue`1`n`(_$)->Integer`dColor``472657
ohyperelliptic`0`n`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``472733
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``472870
ohypergeometric0F1`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``473007
ohypergeometric0F1`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``473095
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``473183
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``473397
oid`1`n`(A)->A`pMappingPackage1(A)``473573
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``473605
oideal`1`n`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``473896
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``474001
oideal`1`n`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``474072
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``474150
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``474316
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``474413
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``474564
oidentity`0`n`()->_$`dDenavitHartenbergMatrix(R)``474778
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``474832
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``474993
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``475051
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``475107
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``475163
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``475220
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``475276
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``475333
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``475389
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``475446
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``475502
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``475559
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``475615
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``475672
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``475728
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``475785
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``475843
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``475898
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``475954
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``476009
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``476065
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``476120
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``476176
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``476234
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``476291
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``476346
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``476403
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``476458
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``476515
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``476571
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``476626
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``476682
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``476737
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``476793
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``476849
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``476905
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``476960
oimagE`1`n`(_$)->R`cOctonionCategory(R)``477016
oimagI`1`n`(_$)->R`cOctonionCategory(R)``477098
oimagI`1`n`(_$)->R`cQuaternionCategory(R)``477180
oimagJ`1`n`(_$)->R`cOctonionCategory(R)``477264
oimagJ`1`n`(_$)->R`cQuaternionCategory(R)``477346
oimagK`1`n`(_$)->R`cOctonionCategory(R)``477430
oimagK`1`n`(_$)->R`cQuaternionCategory(R)``477512
oimag`1`n`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``477596
oimag`1`n`(F)->F`pTrigonometricManipulations(R,F)``477695
oimag`1`n`(_$)->R`cComplexCategory(R)``477794
oimagi`1`n`(_$)->R`cOctonionCategory(R)``477852
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`n`()->_$`cComplexCategory(R)``477924
oimagj`1`n`(_$)->R`cOctonionCategory(R)``477982
oimagk`1`n`(_$)->R`cOctonionCategory(R)``478054
oimplies`2`n`(_$,_$)->_$`cPropositionalLogic``478126
oimports`1`n`(_$)->List(TypeAst)`dImportAst``478200
oin?`2`n`(_$,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``478261
oinGroundField?`1`n`(_$)->Boolean`cExtensionField(F)``478348
oinHallBasis?`4`n`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``478455
oinR?`1`n`(_$)->Boolean`dPattern(R)``478835
oinRadical?`2`n`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``478930
oinc`1`n`(_$)->_$`cIntegerNumberSystem``479038
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``479081
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``479245
oincr`1`n`(_$)->Integer`cSegmentCategory(S)``479409
oincreasePrecision`1`n`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`479564
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``479694
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``479880
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``480058
oindex?`2`n`(Index,_$)->Boolean`cIndexedAggregate(Index,Entry)``480233
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(PositiveInteger)->_$`cFinite``480312
oindex`1`n`(_$)->IS`dModuleMonomial(IS,E,ff)``480559
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``480596
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``480695
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``480903
oindices`1`n`(A)->List(Integer)`xLazyStreamAggregate&(A,S)``0
oindices`1`n`(A)->List(Integer)`xLinearAggregate&(A,S)``0
oindices`1`n`(S)->List(Key)`xTableAggregate&(S,Key,Entry)``0
oindices`1`n`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``481023
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``481120
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``481220
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``481320
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``481414
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``481508
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``481716
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``481924
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``482164
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``482404
oinfRittWu?`2`n`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``482668
oinfRittWu?`2`n`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``482780
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`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``482892
oinfRittWu?`2`n`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``483089
oinf`1`n`(_$)->R`cIntervalCategory(R)``483245
oinfieldIntegrate`2`n`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``483307
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``483441
oinfinite?`1`n`(_$)->Boolean`dOnePointCompletion(R)``483578
oinfinite?`1`n`(_$)->Boolean`dOrderedCompletion(R)``483636
oinfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``483710
oinfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``483850
oinfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``483990
oinfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``484130
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``484270
oinfinity`0`n`()->OnePointCompletion(Integer)`pInfinity``484383
oinfinity`0`n`()->_$`dOnePointCompletion(R)``484426
oinfix?`1`n`(_$)->Boolean`dOutputForm``484469
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``484579
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``484720
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``484804
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`n`()->_$`cStepThrough``484860
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``484921
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`n`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``485146
oinitializeGroupForWordProblem`1`n`(_$)->Void`dPermutationGroup(S)``485298
oinitializeGroupForWordProblem`3`n`(_$,Integer,Integer)->Void`dPermutationGroup(S)``485732
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``486193
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``486481
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`n`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``486753
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``487028
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``487246
oinitiallyReduced?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``487413
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`n`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``487597
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)``487701
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``488034
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``488151
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``488281
oinnerint`5`n`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``488633
oinputBinaryFile`1`n`(FileName)->_$`dInputBinaryFile``488709
oinputBinaryFile`1`n`(String)->_$`dInputBinaryFile``488827
oinputOutputBinaryFile`1`n`(FileName)->_$`dInputOutputBinaryFile``488945
oinputOutputBinaryFile`1`n`(String)->_$`dInputOutputBinaryFile``489081
oinput`0`n`()->_$`dIOMode``489212
oinput`1`n`(_$)->Maybe((List(InputForm))->InputForm)`dBasicOperator``489275
oinput`2`n`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``489395
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``489605
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``489669
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`n`(S,_$)->_$`cBagAggregate(S)``489796
oinsert!`2`n`(S,_$)->_$`dBinarySearchTree(S)``489864
oinsert!`2`n`(S,_$)->_$`dBinaryTournament(S)``489960
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,_$,Integer)->_$`cExtensibleLinearAggregate(S)``490055
oinsert!`3`n`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``490151
oinsert!`3`n`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``490256
oinsertBottom!`2`n`(S,_$)->S`cDequeueAggregate(S)``490362
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``490489
oinsertRoot!`2`n`(S,_$)->_$`dBinarySearchTree(S)``490651
oinsertTop!`2`n`(S,_$)->S`cDequeueAggregate(S)``490749
oinsert`3`n`(A,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`n`(S,_$,Integer)->_$`cLinearAggregate(S)``490982
oinsert`3`n`(_$,_$,Integer)->_$`cLinearAggregate(S)``491197
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`491448
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``491491
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`n`(_$)->S`cBagAggregate(S)``491539
ointChoose`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(upol:SparseUnivariatePolynomial(R),Lval:List(R),Lfact:List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),ctpol:R)`pMultivariateSquareFree(E,OV,R,P)``491604
ointPatternMatch`4`n`(F,Symbol,(F,Symbol)->IntegrationResult(F),(F,Symbol)->Union(Record(special:F,integrand:F),"failed"))->IntegrationResult(F)`pIntegrationTools(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,GcdDomain),has(R,PatternMatchable(Integer)),has(F,ElementaryFunctionCategory),has(F,LiouvillianFunctionCategory),has(F,RetractableTo(Symbol)))`491644
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``491891
oint`1`n`(_$)->_$`dOutputForm``492000
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``492086
oint`2`n`(_$,_$)->_$`dOutputForm``492169
oint`3`n`(_$,_$,_$)->_$`dOutputForm``492289
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``492447
ointeger?`1`n`(S)->Boolean`pIntegerRetractions(S)``492488
ointeger?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``492582
ointeger?`1`n`(_$)->Boolean`dFortranScalarType``492665
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``492757
ointegerIfCan`1`n`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``492903
ointeger`1`n`(S)->Integer`pIntegerRetractions(S)``493007
ointeger`1`n`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``493101
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``493225
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`n`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``493283
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`n`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``493357
ointegral?`2`n`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``493447
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`n`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``493540
ointegralBasisAtInfinity`0`n`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``493627
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``493713
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``494527
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``495341
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``496147
ointegralBasis`0`n`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``496961
ointegralCoordinates`1`n`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``497033
ointegralDerivationMatrix`1`n`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``497230
ointegralLastSubResultant`3`n`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``497556
ointegralMatrixAtInfinity`0`n`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``497685
ointegralMatrix`0`n`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``497897
ointegralRepresents`2`n`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``498105
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``498263
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``498356
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``498485
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`498571
ointegral`2`n`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``498664
ointegral`2`n`(_$,Symbol)->_$`cPrimitiveFunctionCategory``498796
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``498869
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`498938
ointegrate`1`n`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`499127
ointegrate`1`n`(_$)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`499244
ointegrate`1`n`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`499441
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`499630
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`499813
ointegrate`2`n`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``500061
ointegrate`2`n`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``500223
ointegrate`2`n`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``500336
ointegrate`2`n`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``500498
ointegrate`2`n`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`500660
ointegrate`2`n`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`500774
ointegrate`2`n`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`500904
ointegrate`2`n`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`501034
ointegrate`2`n`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`501164
ointegrate`2`n`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`501294
ointegrate`2`n`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`501424
ointegrate`2`n`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`501554
ointegrate`2`n`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`501715
ointegrate`2`n`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`501942
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`502131
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`502320
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`502509
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`502700
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`502889
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`503078
ointegrate`3`n`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``503269
ointegrate`3`n`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``503676
ointegrate`3`n`(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)``504083
ointegrate`3`n`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`504490
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`504640
ointensity`2`n`(_$,Float)->Void`dThreeDimensionalViewport``504790
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``504985
ointeractiveEnv`0`n`()->_$`dEnvironment``505288
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``505342
ointernalAugment`2`n`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``505383
ointernalAugment`2`n`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``505541
ointernalAugment`7`n`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``505647
ointernalAugment`7`n`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``505814
ointernalDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`n`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`n`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`n`(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`n`(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`n`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``505981
ointernalInfRittWu?`2`n`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``506101
ointernalIntegrate0`2`n`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``506221
ointernalIntegrate`2`n`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``506304
ointernalIntegrate`2`n`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``506428
ointernalLastSubResultant`3`n`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``506511
ointernalLastSubResultant`5`n`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``506636
ointernalSubPolSet?`2`n`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``506781
ointernalSubPolSet?`2`n`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``507051
ointernalSubQuasiComponent?`2`n`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``507321
ointernalSubQuasiComponent?`2`n`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``507593
ointernalZeroSetSplit`4`n`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``507860
ointernalZeroSetSplit`4`n`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``507997
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``508134
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``508181
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``508230
ointerpret`1`n`(_$)->Any`dInputForm``508354
ointersect`1`n`(List(_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``508417
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),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``508504
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``508605
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``508780
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``508857
ointersect`2`n`(_$,_$)->_$`cSetAggregate(S)``508932
ointersect`2`n`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``509199
ointerval`1`n`(Fraction(Integer))->_$`cIntervalCategory(R)``509291
ointerval`1`n`(R)->_$`cIntervalCategory(R)``509357
ointerval`2`n`(R,R)->_$`cIntervalCategory(R)``509423
oinv`1`n`(S)->S`xComplexCategory&(S,R)``0
oinv`1`n`(S)->S`xField&(S)``0
oinv`1`n`(S)->S`xOctonionCategory&(S,R)``0
oinv`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oinv`1`n`(Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``509598
oinv`1`n`(_$)->_$`cDivisionRing``509671
oinv`1`n`(_$)->_$`cGroup``509764
oinv`1`n`(_$)->_$`cOctonionCategory(R)`has(R,Field)`509818
oinv`1`n`(_$)->_$`dEquation(S)`has(S,Field)`509885
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``509954
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``509989
oinverseColeman`3`n`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``510024
oinverseIntegralMatrixAtInfinity`0`n`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``510709
oinverseIntegralMatrix`0`n`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``510928
oinverseLaplace`3`n`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``511140
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``511311
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``511379
oinverse`1`n`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`511541
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``511694
oinverse`1`n`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`511914
oinverse`1`n`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`512076
oinverse`1`n`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,Field)`512208
oinvertIfCan`1`n`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`512370
oinvertible?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``512445
oinvertible?`2`n`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``512564
oinvertibleElseSplit?`2`n`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``512779
oinvertibleSet`2`n`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``512973
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`n`(_$,_$)->_$`cIntegerNumberSystem``513158
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``513245
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``513359
oiomode`1`n`(_$)->String`cFileCategory(Name,S)``513485
oip4Address`1`n`(String)->_$`dIP4Address``513631
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``513711
oiprint`1`n`(String)->Void`pInternalPrintPackage``513766
oirCtor`2`n`(Identifier,InternalTypeForm)->_$`dInternalRepresentationForm``513861
oirDef`3`n`(Identifier,InternalTypeForm,_$)->_$`dInternalRepresentationForm``513974
oirForm`1`n`(_$)->InternalRepresentationForm`dElaboration``514124
oirVar`2`n`(Identifier,InternalTypeForm)->_$`dInternalRepresentationForm``514218
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`514327
oirreducible?`1`n`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``514388
oirreducibleFactor`2`n`(R,Integer)->_$`dFactored(R)``514472
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`514632
oirreducibleRepresentation`1`n`(List(PositiveInteger))->List(Matrix(Integer))`pIrrRepSymNatPackage``514943
oirreducibleRepresentation`2`n`(List(PositiveInteger),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``515282
oirreducibleRepresentation`2`n`(List(PositiveInteger),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``515498
ois?`2`n`(A,S)->Boolean`xOperatorCategory&(A,S)``0
ois?`2`n`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``515743
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``515856
ois?`2`n`(_$,BasicOperator)->Boolean`cExpressionSpace``515946
ois?`2`n`(_$,BasicOperator)->Boolean`dKernel(S)``516028
ois?`2`n`(_$,S)->Boolean`cOperatorCategory(S)``516088
ois?`2`n`(_$,Symbol)->Boolean`cExpressionSpace``516169
ois?`2`n`(_$,Symbol)->Boolean`dKernel(S)``516268
oisAbsolutelyIrreducible?`1`n`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`516341
oisAbsolutelyIrreducible?`2`n`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`516474
oisAnd`1`n`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``516965
oisAtom`1`n`(_$)->Maybe(T)`dPropositionalFormula(T)``517104
oisConnected?`1`n`(_$)->Boolean`cNetworkClientSocket(T)``0
oisEquiv`1`n`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``517219
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``517361
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)``517467
oisExpt`1`n`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`517578
oisExpt`1`n`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)``517662
oisExpt`2`n`(S,BasicOperator)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`n`(S,Symbol)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`n`(_$,BasicOperator)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`517774
oisExpt`2`n`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`517882
oisImplies`1`n`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``517988
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``518132
oisMult`1`n`(S)->Union(Record(coef:Integer,var:Kernel(S)),"failed")`xFunctionSpace&(S,R)``0
oisMult`1`n`(_$)->Union(Record(coef:Integer,var:Kernel(_$)),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`518232
oisNot`1`n`(_$)->Maybe(_$)`dPropositionalFormula(T)``518317
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``518436
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``518546
oisOpen?`1`n`(_$)->Boolean`dInputBinaryFile``518654
oisOpen?`1`n`(_$)->Boolean`dInputOutputBinaryFile``518718
oisOpen?`1`n`(_$)->Boolean`dOutputBinaryFile``518774
oisOr`1`n`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``518829
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``518967
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")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`519090
oisPlus`1`n`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``519185
oisPlus`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``519335
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``519472
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`519579
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``519664
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``519759
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``519856
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")`cFunctionSpace(R)`has(R,SemiGroup)`519972
oisTimes`1`n`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``520066
oisTimes`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``520360
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`n`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``520484
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``520667
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`n`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``520731
oiterationVar`1`n`(_$)->Identifier`dInAst``520916
oiterationVar`1`n`(_$)->Identifier`dStepAst``521014
oiterators`1`n`(_$)->List(SpadAst)`dCollectAst``521136
oiterators`1`n`(_$)->List(SpadAst)`dRepeatAst``521228
ojacobiIdentity?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``521311
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``521519
ojacobi`2`n`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``521727
ojanko2`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``522005
ojanko2`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``522091
ojokerMode`0`n`()->_$`dInternalTypeForm``522307
ojordanAdmissible?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``522398
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``522690
ojordanAlgebra?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``522982
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``523330
ojust`1`n`(T)->_$`dMaybe(T)``523678
ojvmAbstract`0`n`()->_$`dJVMClassFileAccess``523730
ojvmAbstract`0`n`()->_$`dJVMMethodAccess``523821
ojvmClassConstantTag`0`n`()->_$`dJVMConstantTag``523903
ojvmDoubleConstantTag`0`n`()->_$`dJVMConstantTag``523985
ojvmFieldrefConstantTag`0`n`()->_$`dJVMConstantTag``524057
ojvmFinal`0`n`()->_$`dJVMClassFileAccess``524133
ojvmFinal`0`n`()->_$`dJVMFieldAccess``524206
ojvmFinal`0`n`()->_$`dJVMMethodAccess``524295
ojvmFloatConstantTag`0`n`()->_$`dJVMConstantTag``524385
ojvmIntegerConstantTag`0`n`()->_$`dJVMConstantTag``524456
ojvmInterfaceMethodConstantTag`0`n`()->_$`dJVMConstantTag``524530
ojvmInterface`0`n`()->_$`dJVMClassFileAccess``524612
ojvmLongConstantTag`0`n`()->_$`dJVMConstantTag``524674
ojvmMethodrefConstantTag`0`n`()->_$`dJVMConstantTag``524744
ojvmNameAndTypeConstantTag`0`n`()->_$`dJVMConstantTag``524821
ojvmNative`0`n`()->_$`dJVMMethodAccess``524922
ojvmPrivate`0`n`()->_$`dJVMFieldAccess``525014
ojvmPrivate`0`n`()->_$`dJVMMethodAccess``525110
ojvmProtected`0`n`()->_$`dJVMFieldAccess``525207
ojvmProtected`0`n`()->_$`dJVMMethodAccess``525299
ojvmPublic`0`n`()->_$`dJVMClassFileAccess``525392
ojvmPublic`0`n`()->_$`dJVMFieldAccess``525483
ojvmPublic`0`n`()->_$`dJVMMethodAccess``525570
ojvmStatic`0`n`()->_$`dJVMFieldAccess``525658
ojvmStatic`0`n`()->_$`dJVMMethodAccess``525696
ojvmStrict`0`n`()->_$`dJVMMethodAccess``525735
ojvmStringConstantTag`0`n`()->_$`dJVMConstantTag``525820
ojvmSuper`0`n`()->_$`dJVMClassFileAccess``525892
ojvmSynchronized`0`n`()->_$`dJVMMethodAccess``525964
ojvmTransient`0`n`()->_$`dJVMFieldAccess``526009
ojvmUTF8ConstantTag`0`n`()->_$`dJVMConstantTag``526050
ojvmVolatile`0`n`()->_$`dJVMFieldAccess``526163
okaratsubaDivide`2`n`(S,NonNegativeInteger)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
okaratsubaDivide`2`n`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``526203
okaratsubaOnce`2`n`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``526294
okaratsuba`4`n`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``526453
okernel`1`n`(Symbol)->_$`dKernel(S)``526796
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,List(_$))->_$`cExpressionSpace``526857
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,_$)->_$`cExpressionSpace``526950
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`dKernel(S)``527032
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`n`(_$)->List(Kernel(_$))`cExpressionSpace``527217
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`n`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``527383
okey`1`n`(_$)->Integer`dGraphImage``527453
okey`1`n`(_$)->Integer`dThreeDimensionalViewport``527570
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``527732
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`n`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``527890
okind`1`n`(S)->ConstructorKind`xConstructorCategory&(S)``0
okind`1`n`(_$)->ConstructorKind`cConstructorCategory``527957
okind`1`n`(_$)->ConstructorKind`dCategoryAst``528026
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``528118
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``528199
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``528246
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``528566
okroneckerDelta`0`n`()->_$`dCartesianTensor(minix,dim,R)``529004
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``529196
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``529308
olabel`2`n`(_$,_$)->_$`dOutputForm``529417
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``529490
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``529620
olaguerreL`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``529774
olaguerreL`3`n`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``529944
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``530089
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``530368
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``530537
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``530846
olaplace`3`n`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``531210
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`531472
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``531642
olastSubResultantElseSplit`3`n`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``531795
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``532141
olastSubResultant`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`532328
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`532606
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``532841
olastSubResultant`3`n`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``532976
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`n`(_$)->S`cDoublyLinkedAggregate(S)``533658
olast`1`n`(_$)->S`cUnaryRecursiveAggregate(S)``533773
olast`1`n`(_$)->SpadAst`dSequenceAst``533940
olast`1`n`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``533999
olast`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
olast`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
olast`2`n`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``534154
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`n`(_$)->String`cSetCategory``534329
olaurentIfCan`1`n`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``534413
olaurentRep`1`n`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``534568
olaurent`1`n`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``534700
olaurent`1`n`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``534883
olaurent`1`n`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``534953
olaurent`2`n`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``535086
olaurent`2`n`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``535198
olaurent`2`n`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``535440
olaurent`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``535498
olaurent`3`n`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``535681
olaurent`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``535849
olazy?`1`n`(_$)->Boolean`cLazyStreamAggregate(S)``536020
olazyEvaluate`1`n`(_$)->_$`cLazyStreamAggregate(S)``536188
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`536465
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`536539
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`536627
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``537105
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`n`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``537293
olazyPremWithDefault`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`2`n`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``537503
olazyPremWithDefault`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`3`n`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``537696
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``537922
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`n`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``538201
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)``538553
olazyPseudoDivide`2`n`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``538866
olazyPseudoDivide`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`3`n`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``539142
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``539457
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``539632
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``539915
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``540287
olazyVariations`3`n`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`540603
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`n`(List(_$))->_$`cGcdDomain``540739
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`n`(_$,_$)->_$`cGcdDomain``540832
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`n`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``540915
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``541089
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``541192
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``541290
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->A`cIndexedDirectProductCategory(A,S)``541621
oleadingCoefficient`1`n`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``541804
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``541901
oleadingCoefficient`1`n`(_$)->R`cAbelianMonoidRing(R,E)``542002
oleadingCoefficient`1`n`(_$)->R`cFreeModuleCat(R,Basis)``542095
oleadingCoefficient`1`n`(_$)->R`cMonogenicLinearOperator(R)``542201
oleadingCoefficient`1`n`(_$)->R`cUnivariateSkewPolynomialCategory(R)``542313
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``542425
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``542531
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``542581
oleadingCoefficient`1`n`(_$)->R`dMonoidRing(R,M)`has(M,OrderedSet)`542628
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`n`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``542796
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``542987
oleadingIdeal`1`n`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``543034
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``543147
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->Basis`cFreeModuleCat(R,Basis)``543191
oleadingMonomial`1`n`(_$)->M`dMonoidRing(R,M)`has(M,OrderedSet)`543308
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``543467
oleadingMonomial`1`n`(_$)->_$`cAbelianMonoidRing(R,E)``543514
oleadingMonomial`1`n`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``543605
oleadingSupport`1`n`(_$)->S`cIndexedDirectProductCategory(A,S)``543688
oleadingTerm`1`n`(_$)->Record(k:Basis,c:R)`cFreeModuleCat(R,Basis)``543857
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(_$)->Boolean`cRecursiveAggregate(S)``543949
oleaf?`1`n`(_$)->Boolean`dSubSpace(n,R)``544010
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``544047
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``544302
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``544633
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`n`(_$)->List(S)`cRecursiveAggregate(S)``544750
oleftAlternative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``544884
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``545097
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`n`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``545310
oleftDiscriminant`0`n`()->R`cFramedNonAssociativeAlgebra(R)``545468
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``545836
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``546204
oleftDivide`2`n`(P,P)->Record(quotient:P,remainder:P)`pNonCommutativeOperatorDivision(P,F)``546505
oleftDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`546700
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`546895
oleftExactQuotient`2`n`(P,P)->Union(P,"failed")`pNonCommutativeOperatorDivision(P,F)``547136
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`n`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`547260
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`n`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`547384
oleftFactorIfCan`2`n`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``547492
oleftFactor`2`n`(UP,UP)->Union(UP,"failed")`pPolynomialDecomposition(UP,F)``547729
oleftGcd`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``547773
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`548009
oleftLcm`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``548245
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`548443
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`548642
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``548876
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`n`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``549002
oleftOne`1`n`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`549100
oleftOne`1`n`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`549157
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`n`(_$,NonNegativeInteger)->_$`cMonadWithUnit``549214
oleftPower`2`n`(_$,PositiveInteger)->_$`cMonad``549396
oleftQuotient`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``549578
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`549766
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`549954
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`550050
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``550289
oleftRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``550528
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`n`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`550686
oleftRecip`1`n`(_$)->Union(_$,"failed")`cMonadWithUnit``550899
oleftReducedSystem`1`n`(Vector(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``551081
oleftReducedSystem`2`n`(Vector(_$),_$)->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitRingOver(R)``551344
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`n`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``551624
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`n`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``551796
oleftRemainder`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``551993
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`552182
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``552371
oleftTraceMatrix`0`n`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``552561
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``552843
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``553125
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`n`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``553333
oleftTrim`2`n`(_$,Character)->_$`cStringAggregate``553426
oleftTrim`2`n`(_$,CharacterClass)->_$`cStringAggregate``553594
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`n`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`553773
oleftUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`553898
oleftUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``554022
oleftZero`1`n`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`554145
oleft`1`n`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``554202
oleft`1`n`(_$)->_$`cBinaryRecursiveAggregate(S)``554276
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``554322
oleft`1`n`(_$)->_$`dMagma(VarSet)``554478
oleft`1`n`(_$)->_$`dOutputForm``554629
oleft`2`n`(_$,Integer)->_$`dOutputForm``554696
olegendreP`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`554781
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``554947
olegendre`2`n`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``555223
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``555574
olength`1`n`(_$)->NonNegativeInteger`cQueueAggregate(S)``555685
olength`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``555792
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``555848
olength`1`n`(_$)->NonNegativeInteger`dTuple(S)``555940
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``556013
olength`1`n`(_$)->PositiveInteger`dMagma(VarSet)``556096
olength`1`n`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`556179
olength`1`n`(_$)->_$`cIntegerNumberSystem``556282
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``556336
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``556370
oless?`2`n`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``556472
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``556548
olevel`1`n`(_$)->Integer`dExitAst``556746
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``556807
oleviCivitaSymbol`0`n`()->_$`dCartesianTensor(minix,dim,R)``556944
olexGroebner`2`n`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``557163
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``557349
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``557748
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``557815
olexico`2`n`(_$,_$)->Boolean`dMagma(VarSet)``558024
olexico`2`n`(_$,_$)->Boolean`dOrderedFreeMonoid(S)``558366
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``558533
olfextlimint`4`n`(F,Symbol,Kernel(F),List(Kernel(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``558692
olfinfieldint`2`n`(F,Symbol)->Union(F,"failed")`pElementaryIntegration(R,F)``558924
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``559054
olflimitedint`3`n`(F,Symbol,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pElementaryIntegration(R,F)``559125
olfunc`2`n`(Integer,Integer)->Integer`pHallBasis``559344
olhs`1`n`(_$)->F`dRewriteRule(Base,R,F)``559567
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``559637
olhs`1`n`(_$)->S`dEquation(S)``559692
olhs`1`n`(_$)->SpadAst`dCaseAst``559766
olhs`1`n`(_$)->SpadAst`dColonAst``559842
olhs`1`n`(_$)->SpadAst`dHasAst``559919
olhs`1`n`(_$)->SpadAst`dIsAst``559994
olhs`1`n`(_$)->SpadAst`dLetAst``560068
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``560150
oli`1`n`(_$)->_$`cLiouvillianFunctionCategory``560203
olibrary`1`n`(FileName)->_$`dLibrary``560325
olieAdmissible?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``560379
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``560586
olieAlgebra?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``560793
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``561109
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``561425
olift`1`n`(_$)->P`dModMonic(R,P)``561517
olift`1`n`(_$)->UP`cMonogenicAlgebra(R,UP)``561553
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``561655
olift`7`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),SparseUnivariatePolynomial(R),P,List(OV),List(NonNegativeInteger),List(R))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateSquareFree(E,OV,R,P)``561693
olifting1`9`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(P)),List(R),List(P),List(List(Record(expt:NonNegativeInteger,pcoef:P))),List(NonNegativeInteger),Vector(List(SparseUnivariatePolynomial(R))),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``561728
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``561790
olight`1`n`(Color)->_$`dPalette``561846
olighting`4`n`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``561931
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``562192
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``562264
olimit`2`n`(FE,Equation(OrderedCompletion(FE)))->Union(OrderedCompletion(FE),Record(leftHandLimit:Union(OrderedCompletion(FE),"failed"),rightHandLimit:Union(OrderedCompletion(FE),"failed")),"failed")`pPowerSeriesLimitPackage(R,FE)``562338
olimit`2`n`(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)``562419
olimit`2`n`(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)``562543
olimit`3`n`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``562667
olimit`3`n`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``562856
olimitedIntegrate`3`n`(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)``563121
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)``563366
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``563597
olinSolve`2`n`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``563635
olineColorDefault`0`n`()->Palette`pViewDefaultsPackage``563786
olineColorDefault`1`n`(Palette)->Palette`pViewDefaultsPackage``563890
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``564016
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`n`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`564168
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`n`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`564833
olinearAssociatedLog`2`n`(S,S)->Union(SparseUnivariatePolynomial(F),"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`2`n`(_$,_$)->Union(SparseUnivariatePolynomial(F),"failed")`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`564986
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`n`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`565222
olinearDependenceOverZ`1`n`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``565377
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``565598
olinearElement`1`n`(List(K))->_$`dLinearElement(K,B)``565808
olinearForm`1`n`(List(K))->_$`dLinearForm(K,B)``565966
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``566117
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``566281
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``566319
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``566359
olinearlyDependentOverZ?`1`n`(Vector(R))->Boolean`pIntegerLinearDependence(R)``566508
olinears`2`n`(U,Integer)->U`pModularDistinctDegreeFactorizer(U)``566666
olinefeed`0`n`()->_$`dCharacter``566845
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``566904
olist?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``566966
olistBranches`1`n`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``567047
olistBranches`1`n`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``567163
olistConjugateBases`3`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),NonNegativeInteger,NonNegativeInteger)->List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))`pChineseRemainderToolsForIntegralBases(K,R,UP)``567279
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``567516
olistOfLists`1`n`(S)->List(List(R))`xMatrixCategory&(S,R,Row,Col)``0
olistOfLists`1`n`(_$)->List(List(R))`cMatrixCategory(R,Row,Col)``567633
olistOfLists`1`n`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``567722
olistOfLists`1`n`(_$)->List(List(S))`dTableau(S)``567811
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``567887
olistRepresentation`1`n`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``567969
olistYoungTableaus`1`n`(List(PositiveInteger))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``568337
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`n`(S)->_$`cListAggregate(S)``568810
olist`1`n`(_$)->List(_$)`dSymbol``568874
olistexp`1`n`(BP)->List(NonNegativeInteger)`pNPCoef(BP,E,OV,R,P)``568978
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``569014
olittleEndian`0`n`()->_$`dByteOrder``569083
olllip`1`n`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``569139
olllp`1`n`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``569409
ollprop`1`n`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``569667
olo`1`n`(_$)->S`cSegmentCategory(S)``569923
oloadNativeModule`1`n`(String)->Void`pSystem``570010
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``570108
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``570303
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``570498
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``571341
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``572190
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``573031
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``573880
olocalUnquote`2`n`(F,List(Symbol))->F`pApplyRules(Base,R,F)``573940
olog10`0`n`()->_$`dFloat``573994
olog10`1`n`(_$)->_$`dDoubleFloat``574062
olog10`1`n`(_$)->_$`dFloat``574135
olog2`0`n`()->_$`dFloat``574206
olog2`1`n`(_$)->_$`dDoubleFloat``574292
olog2`1`n`(_$)->_$`dFloat``574363
ologGamma`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``574432
ologGamma`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``574556
ologIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``574680
olog`1`n`(F)->F`pElementaryFunction(R,F)``574767
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``574831
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)``574975
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``575033
olog`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``575091
olog`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``575162
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``575235
olog`1`n`(_$)->_$`cElementaryFunctionCategory``575307
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``575371
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`575491
ological?`1`n`(_$)->Boolean`dFortranScalarType``575615
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``575707
olookupFunction`1`n`(_$)->Identifier`dFunctorData``575787
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``575901
olookup`1`n`(_$)->PositiveInteger`cFinite``575975
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``576063
olow`1`n`(_$)->S`cSegmentCategory(S)``576537
olowerBound`1`n`(_$)->SpadAst`dStepAst``576626
olowerCase!`1`n`(_$)->_$`cStringAggregate``576727
olowerCase?`1`n`(_$)->Boolean`dCharacter``576831
olowerCase`0`n`()->_$`dCharacterClass``576942
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`n`(_$)->_$`cStringAggregate``577066
olowerCase`1`n`(_$)->_$`dCharacter``577147
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``577318
olp`1`n`(_$)->List(Point(R))`cThreeSpaceCategory(R)``577470
olprop`1`n`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``577766
olquo`2`n`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``577968
olquo`2`n`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``578082
olquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``578172
olquo`2`n`(_$,_$)->Union(_$,"failed")`cFreeMonoidCategory(S)``578254
olquo`2`n`(_$,_$)->_$`cXFreeAlgebra(vl,R)``578446
olquo`2`n`(_$,vl)->_$`cXFreeAlgebra(vl,R)``578527
olyndon?`1`n`(OrderedFreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``578621
olyndonIfCan`1`n`(OrderedFreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``578697
olyndon`1`n`(OrderedFreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``578779
omacroExpand`2`n`(SpadAst,Environment)->SpadAst`pCompilerPackage``578906
omagnitude`1`n`(S)->R`xVectorCategory&(S,R)``0
omagnitude`1`n`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`579053
omainCharacterization`1`n`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``579156
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`n`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``579267
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`579604
omainDefiningPolynomial`1`n`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``579837
omainExpression`1`n`(_$)->SpadAst`dWhereAst``579964
omainForm`1`n`(_$)->Union(OutputForm,"failed")`cRealClosedField``580055
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`n`(_$)->Union(Kernel(_$),"failed")`cExpressionSpace``580145
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``580306
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`n`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``580566
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`580890
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`581136
omainValue`1`n`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``581385
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`n`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``581509
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``581649
omainVariable`1`n`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``581808
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`n`(_$)->Union(VarSet,"failed")`cPolynomialCategory(R,E,VarSet)``581967
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`n`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``582167
omakeCos`2`n`(E,R)->_$`dFourierSeries(R,E)``582313
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``582399
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``582436
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer))))->Factored(UP)`pGaloisGroupFactorizer(UP)``582560
omakeFR`2`n`(R,List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer)))->_$`dFactored(R)``582667
omakeFloatFunction`2`n`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``582763
omakeFloatFunction`3`n`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``583019
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``583342
omakeGraphImage`1`n`(_$)->_$`dGraphImage``583700
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``584104
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``584682
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``585320
omakeObject`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``585404
omakeObject`2`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``585666
omakeObject`2`n`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``585928
omakeObject`3`n`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``586234
omakeObject`3`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``586565
omakeObject`3`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``586821
omakeObject`3`n`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``587098
omakeObject`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``587411
omakeObject`3`n`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``587742
omakeObject`3`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``588154
omakeObject`3`n`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``588500
omakeObject`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``588901
omakeObject`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``589263
omakeObject`4`n`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``589638
omakeObject`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``590049
omakeObject`4`n`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``590483
omakeRecord`2`n`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``590980
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``591135
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`n`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``591218
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``591345
omakeSin`2`n`(E,R)->_$`dFourierSeries(R,E)``591463
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``591549
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``592442
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``592575
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`n`(S)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)``592642
omakeVariable`1`n`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`592957
omakeVariable`2`n`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``593278
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``593418
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``593640
omakeViewport3D`1`n`(_$)->_$`dThreeDimensionalViewport``593973
omakeViewport3D`2`n`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``594199
omakeViewport3D`2`n`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``594532
omakeYoungTableau`2`n`(List(PositiveInteger),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``594774
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``595049
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeprod`2`n`(A,B)->_$`dProduct(A,B)``595102
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``595144
omantissa`1`n`(_$)->Integer`cFloatingPointSystem``595234
omap!`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap!`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap!`2`n`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``595299
omap!`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap!`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap!`2`n`((S)->S,A)->A`xStreamAggregate&(A,S)``0
omap!`2`n`((S)->S,_$)->_$`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`595384
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``595496
omapCoef`2`n`((E)->E,_$)->_$`cFreeAbelianMonoidCategory(S,E)``595601
omapDown!`3`n`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``595685
omapDown!`3`n`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``596113
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``596691
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``596776
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`cFreeMonoidCategory(S)``596861
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`n`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``596946
omapGen`2`n`((S)->S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``597072
omapGen`2`n`((S)->S,_$)->_$`cFreeMonoidCategory(S)``597155
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``597238
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``597321
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``597404
omapSolve`2`n`(UP,(F)->F)->Record(solns:List(F),maps:List(Record(arg:F,res:F)))`pPolynomialSolveByFormulas(UP,F)``597573
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``597615
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``597778
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``597880
omapUp!`2`n`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``597982
omapUp!`3`n`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``598304
omap`2`n`((A)->A,_$)->_$`cIndexedDirectProductCategory(A,S)``598782
omap`2`n`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``598929
omap`2`n`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``599069
omap`2`n`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``599193
omap`2`n`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``599268
omap`2`n`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``599434
omap`2`n`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``599618
omap`2`n`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``599755
omap`2`n`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``599927
omap`2`n`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``600038
omap`2`n`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``600231
omap`2`n`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``600371
omap`2`n`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``600530
omap`2`n`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``600567
omap`2`n`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``600604
omap`2`n`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``600641
omap`2`n`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``600760
omap`2`n`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``600866
omap`2`n`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``600972
omap`2`n`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``601011
omap`2`n`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``601106
omap`2`n`((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)``601144
omap`2`n`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``601183
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)``601222
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``601328
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,_$)->_$`cAbelianMonoidRing(R,E)``601367
omap`2`n`((R)->R,_$)->_$`cFreeModuleCat(R,Basis)``601476
omap`2`n`((R)->R,_$)->_$`cFullyEvalableOver(R)``601599
omap`2`n`((R)->R,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``601692
omap`2`n`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``601794
omap`2`n`((R)->R,_$)->_$`cXFreeAlgebra(vl,R)``601889
omap`2`n`((R)->R,_$)->_$`dAntiSymm(R,lVar)``601985
omap`2`n`((R)->R,_$)->_$`dFactored(R)``602077
omap`2`n`((R)->R,_$)->_$`dMonoidRing(R,M)``602351
omap`2`n`((R)->R,_$)->_$`dXPolynomialRing(R,E)``602460
omap`2`n`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``602556
omap`2`n`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``602653
omap`2`n`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``602844
omap`2`n`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``602924
omap`2`n`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``603009
omap`2`n`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``603281
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``603458
omap`2`n`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``603587
omap`2`n`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``603675
omap`2`n`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``603789
omap`2`n`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``603960
omap`2`n`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``603997
omap`2`n`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``604284
omap`2`n`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``604406
omap`2`n`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``604551
omap`2`n`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`604641
omap`2`n`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``604862
omap`2`n`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``604929
omap`2`n`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``605005
omap`2`n`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``605138
omap`2`n`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`605271
omap`2`n`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``605359
omap`2`n`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``605470
omap`2`n`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``605550
omap`2`n`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``605589
omap`2`n`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``605628
omap`2`n`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``605721
omap`2`n`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``605814
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``605851
omap`2`n`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``605945
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``606038
omap`2`n`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``606198
omap`2`n`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``606357
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`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``606453
omap`2`n`((S)->S,_$)->_$`cHomogeneousAggregate(S)``606668
omap`2`n`((S)->S,_$)->_$`dEquation(S)``606878
omap`2`n`((S)->S,_$)->_$`dInfiniteTuple(S)``606979
omap`2`n`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``607059
omap`2`n`((S)->T,PropositionalFormula(S))->PropositionalFormula(T)`pPropositionalFormulaFunctions2(S,T)``607185
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``607344
omap`2`n`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``607381
omap`3`n`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``607472
omap`3`n`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``607511
omap`3`n`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``607550
omap`3`n`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``607961
omap`3`n`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``608000
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``608231
omap`3`n`((F)->S,String,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``608473
omap`3`n`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``608610
omap`3`n`((R,R)->R,S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`3`n`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``608727
omap`3`n`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``608863
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`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``608967
omap`3`n`((Vars)->S,(R)->S,P)->S`pPolynomialCategoryLifting(E,Vars,R,P,S)``609274
omap`4`n`((R)->S,OrderedCompletion(R),OrderedCompletion(S),OrderedCompletion(S))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``609579
omap`4`n`((R,R)->R,S,S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`4`n`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``609747
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`610053
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``610130
omappingAst`2`n`(List(TypeAst),TypeAst)->_$`dMappingAst``610208
omappingMode`2`n`(_$,List(_$))->_$`dInternalTypeForm``610282
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`n`(_$)->_$`cIntegerNumberSystem``610397
omatch?`3`n`(_$,_$,Character)->Boolean`cStringAggregate``610465
omatch`2`n`(List(A),List(B))->(A)->B`pListToMap(A,B)``610650
omatch`3`n`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``611030
omatch`3`n`(List(A),List(B),A)->B`pListToMap(A,B)``611398
omatch`3`n`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``611755
omatch`3`n`(_$,_$,Character)->NonNegativeInteger`cStringAggregate``612126
omatch`4`n`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``612651
omatch`4`n`(List(A),List(B),A,B)->B`pListToMap(A,B)``613034
omathieu11`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``613402
omathieu11`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``613492
omathieu12`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``613714
omathieu12`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``613804
omathieu22`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``614023
omathieu22`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``614113
omathieu23`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``614333
omathieu23`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``614423
omathieu24`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``614643
omathieu24`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``614733
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``614953
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``615116
omatrix`1`n`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``615262
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``615408
omatrix`1`n`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``615518
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->_$`cMatrixCategory(R,Row,Col)``615602
omaxColIndex`1`n`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``615717
omaxColIndex`1`n`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``615809
omaxIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
omaxIndex`1`n`(A)->Integer`xLinearAggregate&(A,S)``0
omaxIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
omaxIndex`1`n`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`615899
omaxPoints3D`0`n`()->Integer`dPlot3D``616150
omaxPoints`0`n`()->Integer`dPlot``616226
omaxPoints`0`n`()->Integer`pGraphicsDefaults``616299
omaxPoints`1`n`(Integer)->Integer`pGraphicsDefaults``616373
omaxRowIndex`1`n`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``616444
omaxRowIndex`1`n`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``616533
omax`0`n`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`616620
omax`0`n`()->_$`cOrderedFinite``616683
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`n`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`616729
omax`1`n`(_$)->S`cPriorityQueueAggregate(S)``616801
omax`2`n`(S,S)->S`xOrderedType&(S)``0
omax`2`n`(_$,_$)->_$`cOrderedType``616878
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``616972
omaxdeg`1`n`(_$)->OrderedFreeMonoid(vl)`cXPolynomialsCat(vl,R)``617130
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)``617216
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)``617298
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`n`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``617362
omeatAxe`1`n`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`617601
omeatAxe`2`n`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`618625
omeatAxe`2`n`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`619004
omeatAxe`4`n`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`619177
omedialSet`1`n`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``620236
omedialSet`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``620343
omember?`2`n`(Permutation(S),_$)->Boolean`dPermutationGroup(S)``620922
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``621041
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
omember?`2`n`(S,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
omember?`2`n`(S,A)->Boolean`xHomogeneousAggregate&(A,S)``0
omember?`2`n`(S,_$)->Boolean`cHomogeneousAggregate(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`621143
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`n`(_$)->List(FunctionDescriptor)`dOverloadSet``621331
omembers`1`n`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`621486
omembers`1`n`(_$)->List(S)`dMultiset(S)``621682
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`n`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`621812
omerge!`2`n`(_$,_$)->_$`cPriorityQueueAggregate(S)``621901
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,_$,_$)->_$`cExtensibleLinearAggregate(S)``622027
omergeDifference`2`n`(List(S),List(S))->List(S)`pMergeThing(S)``622124
omergeFactors`2`n`(Factored(R),Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``622306
omerge`1`n`(List(_$))->_$`cThreeSpaceCategory(R)``622626
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``622811
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`(_$,_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`622890
omerge`2`n`(_$,_$)->_$`cPriorityQueueAggregate(S)``623040
omerge`2`n`(_$,_$)->_$`cThreeSpaceCategory(R)``623168
omerge`2`n`(_$,_$)->_$`dSubSpace(n,R)``623343
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`n`((S,S)->Boolean,_$,_$)->_$`cFiniteLinearAggregate(S)``623432
omesh?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``624059
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``624273
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``624326
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``624380
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``624431
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``624485
omesh`1`n`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``624542
omesh`1`n`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``624753
omesh`3`n`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``625015
omesh`4`n`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``625741
omesh`4`n`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``626632
omesh`4`n`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``627166
omesh`4`n`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``627931
omessagePrint`1`n`(String)->Void`dOutputForm``628294
omessage`1`n`(String)->_$`dOutputForm``628434
omiddle`1`n`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``628519
omidpoint`1`n`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``628591
omidpoints`1`n`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``628668
omightHaveRoots`2`n`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``628773
ominColIndex`1`n`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``628878
ominColIndex`1`n`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``628971
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``629062
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`n`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`629100
ominPoints3D`0`n`()->Integer`dPlot3D``629316
ominPoints`0`n`()->Integer`dPlot``629392
ominPoints`0`n`()->Integer`pGraphicsDefaults``629465
ominPoints`1`n`(Integer)->Integer`pGraphicsDefaults``629539
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``629610
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``629645
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`629680
ominPoly`1`n`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`629750
ominRowIndex`1`n`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``629819
ominRowIndex`1`n`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``629909
omin`0`n`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`629997
omin`0`n`()->_$`cOrderedFinite``630060
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`n`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`630106
omin`1`n`(_$)->S`cOrderedMultisetAggregate(S)``630179
omin`2`n`(S,S)->S`xOrderedType&(S)``0
omin`2`n`(_$,_$)->_$`cOrderedType``630263
omindegTerm`1`n`(_$)->Record(k:OrderedFreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``630357
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``630434
omindeg`1`n`(_$)->OrderedFreeMonoid(vl)`cXFreeAlgebra(vl,R)``630592
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)``630688
ominimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``630807
ominimalPolynomial`1`n`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`630928
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`n`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`631007
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``631164
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`n`(_$)->E`cFiniteAbelianMonoidRing(R,E)``631240
ominimumDegree`1`n`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``631363
ominimumDegree`1`n`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``631508
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``631652
ominimumDegree`2`n`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``631801
ominordet`1`n`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``631971
ominordet`1`n`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`632095
ominordet`1`n`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`632219
ominrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``632307
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``632389
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``632538
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``632687
ominusInfinity`0`n`()->OrderedCompletion(Integer)`pInfinity``632886
ominusInfinity`0`n`()->_$`dOrderedCompletion(R)``632939
omirror`1`n`(_$)->_$`cFreeLieAlgebra(VarSet,R)``632988
omirror`1`n`(_$)->_$`cXFreeAlgebra(vl,R)``633102
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``633202
omirror`1`n`(_$)->_$`dMagma(VarSet)``633300
omirror`1`n`(_$)->_$`dOrderedFreeMonoid(S)``633565
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``633628
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``633663
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``633825
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`634080
omkcomm`1`n`(Integer)->_$`dCommutator``634199
omkcomm`2`n`(_$,_$)->_$`dCommutator``634239
omodTree`2`n`(R,List(R))->List(R)`pCRApackage(R)``634281
omodifyPointData`3`n`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``634324
omodifyPointData`3`n`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``634587
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``634819
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``635317
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``635783
omodularFactor`1`n`(UP)->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``636094
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``636592
omodularGcd`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``636717
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)``636826
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFramedModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`637661
omodule`1`n`(Vector(A))->_$`dFramedModule(R,F,UP,A,ibasis)``637737
omoduloP`1`n`(_$)->Integer`cPAdicIntegerCategory(p)``637831
omodulus`0`n`()->Integer`cPAdicIntegerCategory(p)``637894
omodulus`0`n`()->P`dModMonic(R,P)``637949
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``637987
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``638026
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``638065
omoebiusMu`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``638104
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``638380
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``638448
omonic?`1`n`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``638551
omonicCompleteDecompose`1`n`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``638764
omonicDecomposeIfCan`1`n`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``638957
omonicDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``639099
omonicDivide`3`n`(S,S,VarSet)->Record(quotient:S,remainder:S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonicDivide`3`n`(_$,_$,VarSet)->Record(quotient:_$,remainder:_$)`cPolynomialCategory(R,E,VarSet)``639278
omonicLeftDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`639523
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`639747
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``640017
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``640169
omonicRightDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`640393
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`640619
omonicRightFactorIfCan`2`n`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``640891
omonoidOperation`2`n`((T,T)->T,T)->_$`dMonoidOperation(T)``641150
omonomRDE`3`n`(Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),c:Fraction(UP),t:UP),"failed")`pTranscendentalRischDE(F,UP)``641270
omonomRDEsys`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),h:UP,c1:Fraction(UP),c2:Fraction(UP),t:UP),"failed")`pTranscendentalRischDESystem(F,UP)``641593
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``641960
omonom`2`n`(Basis,R)->_$`cFreeModuleCat(R,Basis)``642055
omonom`2`n`(OrderedFreeMonoid(vl),R)->_$`cXFreeAlgebra(vl,R)``642174
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`cAbelianMonoidRing(R,E)``642269
omonomial?`1`n`(_$)->Boolean`cFreeModuleCat(R,Basis)``642336
omonomial?`1`n`(_$)->Boolean`cXFreeAlgebra(vl,R)``642423
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``642496
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``642563
omonomial?`1`n`(_$)->Boolean`dMonoidRing(R,M)``642604
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``642671
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``642833
omonomial`2`n`(A,S)->_$`cIndexedDirectProductCategory(A,S)``643049
omonomial`2`n`(Coef,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`2`n`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,Q)``643157
omonomial`2`n`(R,E)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,E)->_$`cAbelianMonoidRing(R,E)``643258
omonomial`2`n`(R,Integer)->_$`dLaurentPolynomial(R,UP)``643353
omonomial`2`n`(R,M)->_$`dMonoidRing(R,M)``643395
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``643480
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`n`(R,NonNegativeInteger)->_$`cMonogenicLinearOperator(R)``643522
omonomial`2`n`(R,NonNegativeInteger)->_$`cUnivariateSkewPolynomialCategory(R)``643648
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(Expon))->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(_$,List(Var),List(Expon))->_$`cPowerSeriesCategory(Coef,Expon,Var)``643774
omonomial`3`n`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``643864
omonomial`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``643960
omonomial`3`n`(_$,Var,Expon)->_$`cPowerSeriesCategory(Coef,Expon,Var)``644035
omonomial`3`n`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``644089
omonomial`3`n`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``644141
omonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`n`(_$)->List(_$)`cFreeModuleCat(R,Basis)``644302
omonomials`1`n`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``644387
omonomials`1`n`(_$)->List(_$)`dMonoidRing(R,M)``644565
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`644647
omore?`2`n`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``644854
omoreAlgebraic?`2`n`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``644933
omoreAlgebraic?`2`n`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``645212
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``645491
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``645572
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``645652
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``645778
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``646028
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``646274
omr`1`n`(List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``646443
omulmod`3`n`(_$,_$,_$)->_$`cIntegerNumberSystem``646618
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``646694
omultiEuclideanTree`2`n`(List(R),R)->List(R)`pCRApackage(R)``646739
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`n`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``646793
omultinomial`2`n`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``646996
omultiple?`1`n`(_$)->Boolean`dPattern(R)``647105
omultiple`1`n`(F)->F`pFunctionSpaceAssertions(R,F)``647250
omultiple`1`n`(Symbol)->Expression(Integer)`pPatternMatchAssertions``647556
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``647826
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``648036
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``648254
omultiplyExponents`2`n`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``648415
omultiplyExponents`2`n`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``648548
omultiplyExponents`2`n`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``648716
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``648841
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``648959
omultiset`0`n`()->_$`dMultiset(S)``649100
omultiset`1`n`(List(S))->_$`dMultiset(S)``649181
omultiset`1`n`(S)->_$`dMultiset(S)``649257
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``649327
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``649428
omultivariate`2`n`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``649529
omultivariate`2`n`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``649661
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``649793
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``649841
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``649942
omvar`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
omvar`1`n`(S)->V`xTriangularSetCategory&(S,R,E,V,P)``0
omvar`1`n`(_$)->V`cRecursivePolynomialCategory(R,E,V)``650081
omvar`1`n`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``650304
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``650457
oname`1`n`(_$)->Identifier`dBinding``650496
oname`1`n`(_$)->Identifier`dHeadAst``650555
oname`1`n`(_$)->Identifier`dOverloadSet``650628
oname`1`n`(_$)->Identifier`dProperty``650697
oname`1`n`(_$)->Identifier`dSignatureAst``650757
oname`1`n`(_$)->Name`cFileCategory(Name,S)``650818
oname`1`n`(_$)->S`cOperatorCategory(S)``650888
oname`1`n`(_$)->SpadAst`dAttributeAst``650951
oname`1`n`(_$)->String`cFileNameCategory``651076
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``651138
oname`1`n`(_$)->Symbol`dRuleCalled(f)``651179
oname`1`n`(_$)->_$`dSymbol``651220
onan?`1`n`(_$)->Boolean`dDoubleFloat``651280
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`n`(_$,_$)->_$`cBitAggregate``651380
onand`2`n`(_$,_$)->_$`dBoolean``651485
onary?`1`n`(_$)->Boolean`dBasicOperator``651564
onativeModuleExtension`0`n`()->String`pSystem``651628
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`n`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``651735
oncols`1`n`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``651812
onegative?`1`n`(S)->Boolean`xOrderedAbelianGroup&(S)``0
onegative?`1`n`(_$)->Boolean`cIntervalCategory(R)``651887
onegative?`1`n`(_$)->Boolean`cOrderedAbelianGroup``652018
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`n`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``652088
oneutralValue`1`n`(_$)->T`cMonoidOperatorCategory(T)``652190
onewLine`0`n`()->String`pDisplayPackage``652279
onewReduc`0`n`()->Void`pFunctionSpaceReduce(R,F)``652339
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``652378
onewTypeLists`1`n`(_$)->SExpression`dSymbolTable``652485
onew`0`n`()->_$`dDataArray(N,T)``652529
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``652608
onew`0`n`()->_$`dPatternMatchResult(R,S)``652662
onew`0`n`()->_$`dSubSpace(n,R)``652716
onew`0`n`()->_$`dSubSpaceComponentProperty``652750
onew`0`n`()->_$`dSymbol``652784
onew`0`n`()->_$`dTexFormat``652852
onew`1`n`(R)->_$`dSquareMatrix(ndim,R)``653023
onew`1`n`(_$)->_$`dSymbol``653157
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`n`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``653234
onew`3`n`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``653305
onew`3`n`(String,String,String)->_$`cFileNameCategory``653397
onewline`0`n`()->_$`dCharacter``653709
onextColeman`3`n`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``653766
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``654087
onextItem`1`n`(A)->Maybe(A)`xQuotientFieldCategory&(A,S)``0
onextItem`1`n`(S)->Maybe(S)`xFiniteFieldCategory&(S)``0
onextItem`1`n`(S)->Maybe(S)`xIntegerNumberSystem&(S)``0
onextItem`1`n`(S)->Maybe(S)`xUnivariatePolynomialCategory&(S,R)``0
onextItem`1`n`(_$)->Maybe(_$)`cStepThrough``654794
onextLatticePermutation`3`n`(List(PositiveInteger),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``654886
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``655324
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``656160
onextPartition`3`n`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``657154
onextPartition`3`n`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``657546
onextPrime`1`n`(I)->I`pIntegerPrimesPackage(I)``657938
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``658022
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``659083
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``659907
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``660000
onext`1`n`(_$)->_$`cDoublyLinkedAggregate(S)``661044
onextsousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``661270
onextsubResultant2`4`n`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`661503
onil?`1`n`(_$)->Boolean`dSyntax``661755
onilFactor`2`n`(R,Integer)->_$`dFactored(R)``661835
onil`0`n`()->_$`dList(S)``661987
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`662024
onoKaratsuba`2`n`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``662296
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``662386
onoValueMode`0`n`()->_$`dInternalTypeForm``662629
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`n`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,SetCategory)`662739
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``662868
onode`3`n`(_$,S,_$)->_$`cBinaryTreeCategory(S)``662981
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`n`(_$)->List(_$)`cRecursiveAggregate(S)``663120
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``663201
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`663241
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``663368
ononcommutativeJordanAlgebra?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``663495
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``663596
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`n`(_$,_$)->_$`cBitAggregate``663697
onor`2`n`(_$,_$)->_$`dBoolean``663800
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``663877
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``663918
onormInvertible?`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``663961
onorm`1`n`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``664068
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)``664186
onorm`1`n`(_$)->F`cFiniteAlgebraicExtensionField(F)``664317
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``664459
onorm`1`n`(_$)->F`dFramedModule(R,F,UP,A,ibasis)``664521
onorm`1`n`(_$)->R`cComplexCategory(R)``664584
onorm`1`n`(_$)->R`cFiniteRankAlgebra(R,UP)``664645
onorm`1`n`(_$)->R`cOctonionCategory(R)``664760
onorm`1`n`(_$)->R`cQuaternionCategory(R)``664870
onorm`1`n`(_$)->_$`cRealNumberSystem``664966
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``665023
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``665151
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``665279
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``665408
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``665537
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``665609
onorm`2`n`(_$,Kernel(_$))->_$`dAlgebraicNumber``665704
onorm`2`n`(_$,Kernel(_$))->_$`dInnerAlgebraicNumber``665838
onorm`2`n`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``665972
onorm`2`n`(_$,List(Kernel(_$)))->_$`dInnerAlgebraicNumber``666107
onorm`2`n`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`666242
onormal01`0`n`()->Float`pRandomFloatDistributions``666529
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``666568
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``666733
onormal?`1`n`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`666832
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``667115
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``667248
onormalElement`0`n`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`667347
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``667795
onormalForm`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,VarSet,Dpol)`has(Dom,Field)`667906
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``668079
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``668319
onormalise`1`n`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``668359
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`n`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``668524
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``668596
onormalize`1`n`(F)->F`pElementaryFunctionStructurePackage(R,F)``668707
onormalize`1`n`(_$)->_$`dFloat``668827
onormalize`2`n`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``668896
onormalize`2`n`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``669038
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`n`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``669144
onormalized?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`2`n`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``669344
onormalized?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``669554
onormalized?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``669709
onormalizedAssociate`2`n`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``669893
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`670217
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``670417
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(S)->S`xBooleanLogic&(S)``0
onot`1`n`(_$)->_$`cBooleanLogic``670617
onot`1`n`(_$)->_$`dOutputForm``670685
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``670741
onothing`0`n`()->_$`dMaybe(T)``670824
onpcoef`3`n`(SparseUnivariatePolynomial(P),List(BP),List(P))->Record(deter:List(SparseUnivariatePolynomial(P)),dterm:List(List(Record(expt:NonNegativeInteger,pcoef:P))),nfacts:List(BP),nlead:List(P))`pNPCoef(BP,E,OV,R,P)``670886
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`n`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``670921
onrows`1`n`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``670995
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:Integer)))`pMultivariateSquareFree(E,OV,R,P)``671067
onthCoef`2`n`(_$,Integer)->E`cFreeAbelianMonoidCategory(S,E)``671105
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``671187
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``671271
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`cFreeMonoidCategory(S)``671355
onthExponent`2`n`(_$,Integer)->Integer`dFactored(R)``671439
onthFactor`2`n`(_$,Integer)->R`dFactored(R)``671653
onthFactor`2`n`(_$,Integer)->S`cFreeAbelianMonoidCategory(S,E)``671932
onthFactor`2`n`(_$,Integer)->S`cFreeMonoidCategory(S)``672011
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``672094
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``672177
onthFlag`2`n`(_$,Integer)->Union("nil","sqfr","irred","prime")`dFactored(R)``672260
onthFractionalTerm`2`n`(_$,Integer)->_$`dPartialFraction(R)``672482
onthRootIfCan`2`n`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``672649
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``672760
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`n`(_$,Integer)->_$`cRadicalCategory``673050
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``673118
onull?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``673174
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,ATTRIBUTE(shallowlyMutable))`673255
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,ATTRIBUTE(shallowlyMutable))`673341
onullSpace`1`n`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`673427
onullSpace`1`n`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`673513
onullSpace`1`n`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`673599
onull`1`n`(_$)->Boolean`dList(S)``673686
onullary?`1`n`(_$)->Boolean`dBasicOperator``673750
onullary`1`n`(A)->()->A`pMappingPackage1(A)``673808
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``673892
onullity`1`n`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`674025
onullity`1`n`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`674158
onullity`1`n`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`674291
onumFunEvals3D`0`n`()->Integer`dPlot3D``674424
onumFunEvals`0`n`()->Integer`dPlot``674493
onumber?`1`n`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`674559
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``674614
onumberOfComponents`0`n`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``674662
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``674754
onumberOfComponents`1`n`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``674846
onumberOfComposites`1`n`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``675041
onumberOfComputedEntries`1`n`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``675507
onumberOfCycles`1`n`(_$)->NonNegativeInteger`dPermutation(S)``675686
onumberOfDivisors`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``675788
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``675981
onumberOfFactors`1`n`(_$)->NonNegativeInteger`dFactored(R)``676270
onumberOfFractionalTerms`1`n`(_$)->Integer`dPartialFraction(R)``676356
onumberOfHues`0`n`()->PositiveInteger`dColor``676497
onumberOfImproperPartitions`2`n`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``676580
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``677018
onumberOfMonomials`1`n`(_$)->NonNegativeInteger`cFiniteAbelianMonoidRing(R,E)``677184
onumberOfMonomials`1`n`(_$)->NonNegativeInteger`cFreeModuleCat(R,Basis)``677282
onumberOfMonomials`1`n`(_$)->NonNegativeInteger`dMonoidRing(R,M)``677362
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``677473
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``677612
onumberOfVariables`2`n`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumberOfVariables`2`n`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumer`1`n`(_$)->A`dLocalAlgebra(A,R,S)``677757
onumer`1`n`(_$)->M`dLocalize(M,R,S)``677814
onumer`1`n`(_$)->S`cQuotientFieldCategory(S)``677871
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``677942
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``678052
onumer`1`n`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`678162
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``678401
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace&(S,R)``0
onumerator`1`n`(_$)->_$`cFunctionSpace(R)`has(R,Ring)`678473
onumerator`1`n`(_$)->_$`cQuotientFieldCategory(S)``678551
onumerators`1`n`(_$)->Stream(R)`dContinuedFraction(R)``678637
onumericIfCan`1`n`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`678835
onumericIfCan`1`n`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`678960
onumericIfCan`1`n`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`679085
onumericIfCan`2`n`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`679210
onumericIfCan`2`n`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`679368
onumericIfCan`2`n`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`679525
onumeric`1`n`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`679682
onumeric`1`n`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`679749
onumeric`1`n`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`679816
onumeric`1`n`(S)->Float`pNumeric(S)``679883
onumeric`2`n`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`679950
onumeric`2`n`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`680050
onumeric`2`n`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`680149
onumeric`2`n`(S,PositiveInteger)->Float`pNumeric(S)``680248
oobj`1`n`(_$)->None`dAny``680348
oobjects`1`n`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``680500
ooblateSpheroidal`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``680731
oocton`2`n`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``681044
oocton`8`n`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``681152
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`n`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`681234
oodd?`1`n`(_$)->Boolean`cIntegerNumberSystem``681301
oodd?`1`n`(_$)->Boolean`dPermutation(S)``681375
ooddInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``681508
ooddInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``681651
ooddInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``681794
ooddInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``681937
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``682080
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``682141
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``682467
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``682841
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``682928
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``683046
oone?`1`n`(S)->Boolean`xMonadWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xMonoid&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`n`(_$)->Boolean`cMonadWithUnit``683180
oone?`1`n`(_$)->Boolean`cMonoid``683240
oone?`1`n`(_$)->Boolean`dArity``683295
oone?`1`n`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``683368
ooneDimensionalArray`1`n`(List(S))->_$`dOneDimensionalArray(S)``683474
ooneDimensionalArray`2`n`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``683561
oop`1`n`(P)->_$`dOppositeMonogenicLinearOperator(P,R)``683658
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``683731
oopen`1`n`(Name)->_$`cFileCategory(Name,S)``683806
oopen`2`n`(Name,String)->_$`cFileCategory(Name,S)``683870
ooperations`1`n`(S)->List(OverloadSet)`xConstructorCategory&(S)``0
ooperations`1`n`(_$)->List(OverloadSet)`cConstructorCategory``683984
ooperator`1`n`(BasicOperator)->BasicOperator`cExpressionSpace``684147
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``684259
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``684491
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``684661
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``684751
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``684923
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``685002
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``685114
ooperator`1`n`(Symbol)->_$`dBasicOperator``685292
ooperator`1`n`(_$)->BasicOperator`dKernel(S)``685372
ooperator`1`n`(_$)->SpadAst`dReduceAst``685435
ooperator`2`n`(S,Arity)->_$`dTermAlgebraOperator(S)``685504
ooperator`2`n`(Symbol,Arity)->_$`dBasicOperator``685592
ooperator`2`n`(Symbol,NonNegativeInteger)->_$`dBasicOperator``685672
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`n`(_$)->List(BasicOperator)`cExpressionSpace``685747
oopeval`2`n`(BasicOperator,M)->M`dModuleOperator(R,M)``685864
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
ooption?`2`n`(List(_$),Symbol)->Boolean`dDrawOption``685917
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``686118
ooption`2`n`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``686304
ooptional?`1`n`(_$)->Boolean`dPattern(R)``686447
ooptional`1`n`(F)->F`pFunctionSpaceAssertions(R,F)``686551
ooptional`1`n`(Symbol)->Expression(Integer)`pPatternMatchAssertions``686725
ooptions`1`n`(_$)->List(DrawOption)`dThreeDimensionalViewport``686864
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``687093
ooptions`2`n`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``687321
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``687604
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``687889
oor`2`n`(S,S)->S`xBooleanLogic&(S)``0
oor`2`n`(_$,_$)->_$`cBooleanLogic``688003
oor`2`n`(_$,_$)->_$`dOutputForm``688074
oorbit`2`n`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``688130
oorbit`2`n`(_$,S)->Set(S)`cPermutationCategory(S)``688335
oorbit`2`n`(_$,S)->Set(S)`dPermutationGroup(S)``688522
oorbit`2`n`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``688710
oorbits`1`n`(_$)->Set(Set(S))`dPermutationGroup(S)``688813
oord`1`n`(_$)->NonNegativeInteger`dCharacter``688948
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)``689089
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``689126
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``689163
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`n`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``689200
oorder`1`n`(_$)->Integer`cFloatingPointSystem``689356
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``689478
oorder`1`n`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``689515
oorder`1`n`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``689721
oorder`1`n`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``689838
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``689934
oorder`1`n`(_$)->NonNegativeInteger`dPermutation(S)``690090
oorder`1`n`(_$)->NonNegativeInteger`dPermutationGroup(S)``690177
oorder`1`n`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``690242
oorder`1`n`(_$)->PositiveInteger`cFiniteFieldCategory``690365
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`n`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``690501
oorder`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``690616
oorder`2`n`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``690700
oorder`2`n`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``690823
oorder`2`n`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`690975
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``691141
oorder`3`n`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``691182
oorthonormalBasis`1`n`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``691243
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`n`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`691408
ooutlineRender`2`n`(_$,String)->Void`dThreeDimensionalViewport``691543
ooutputArgs`4`n`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``691945
ooutputAsFortran`1`n`(List(OutputForm))->Void`pSpecialOutputPackage``692071
ooutputAsFortran`1`n`(OutputForm)->Void`pSpecialOutputPackage``692241
ooutputAsFortran`2`n`(String,OutputForm)->Void`pSpecialOutputPackage``692315
ooutputAsScript`1`n`(List(OutputForm))->Void`pSpecialOutputPackage``692464
ooutputAsScript`1`n`(OutputForm)->Void`pSpecialOutputPackage``692652
ooutputAsTex`1`n`(List(OutputForm))->Void`pSpecialOutputPackage``692804
ooutputAsTex`1`n`(OutputForm)->Void`pSpecialOutputPackage``692965
ooutputBinaryFile`1`n`(FileName)->_$`dOutputBinaryFile``693089
ooutputBinaryFile`1`n`(String)->_$`dOutputBinaryFile``693209
ooutputFixed`0`n`()->Void`dFloat``693329
ooutputFixed`1`n`(NonNegativeInteger)->Void`dFloat``693444
ooutputFloating`0`n`()->Void`dFloat``693577
ooutputFloating`1`n`(NonNegativeInteger)->Void`dFloat``693760
ooutputForm`1`n`(DoubleFloat)->_$`dOutputForm``693915
ooutputForm`1`n`(Integer)->_$`dOutputForm``693987
ooutputForm`1`n`(String)->_$`dOutputForm``694053
ooutputForm`1`n`(Symbol)->_$`dOutputForm``694118
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``694183
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``694363
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``694483
ooutputGeneral`0`n`()->Void`dFloat``695068
ooutputGeneral`1`n`(NonNegativeInteger)->Void`dFloat``695259
ooutputList`1`n`(List(Any))->Void`pOutputPackage``695375
ooutputSpacing`1`n`(NonNegativeInteger)->Void`dFloat``695578
ooutput`0`n`()->_$`dIOMode``695718
ooutput`1`n`(OutputForm)->Void`pOutputPackage``695782
ooutput`1`n`(String)->Void`pOutputPackage``695923
ooutput`2`n`(Integer,_$)->Void`dStream(S)`has(S,SetCategory)`696059
ooutput`2`n`(String,OutputForm)->Void`pOutputPackage``696149
oover`2`n`(_$,_$)->_$`dOutputForm``696317
ooverbar`1`n`(_$)->_$`dOutputForm``696409
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``696477
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`cFreeMonoidCategory(S)``696563
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``696760
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``696900
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``696986
opack!`1`n`(_$)->_$`dKeyedAccessFile(Entry)``697074
opack!`1`n`(_$)->_$`dLibrary``697160
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``697246
opackage`0`n`()->_$`dConstructorKind``697335
opade`3`n`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``697389
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``697609
opade`4`n`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``697912
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``698215
opadicFraction`1`n`(_$)->_$`dPartialFraction(R)``698530
opadicallyExpand`2`n`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``698797
opair?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``698925
opair`2`n`(S,T)->_$`dPair(S,T)``699004
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))`699075
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))`699255
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))`699490
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)``699618
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)``700077
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``700595
opalgextint0`6`n`(F,Kernel(F),Kernel(F),F,F,SparseUnivariatePolynomial(F))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``700995
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)``701248
opalgextint`4`n`(F,Kernel(F),Kernel(F),F)->Union(Record(ratpart:F,coeff:F),"failed")`pPureAlgebraicIntegration(R,F,L)``701665
opalginfieldint`2`n`(R,(UP)->UP)->Union(R,"failed")`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``701873
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``702073
opalgint0`6`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``702245
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``702548
opalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``702672
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)``702820
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)``703172
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)``703586
oparabolicCylindrical`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``703868
oparabolic`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``704112
oparaboloidal`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``704319
oparametersOf`1`n`(_$)->List(Symbol)`dSymbolTable``704574
oparameters`1`n`(_$)->List(Identifier)`dAnonymousFunction``704663
oparameters`1`n`(_$)->List(ParameterAst)`dHeadAst``704736
oparametric?`1`n`(_$)->Boolean`dPlot``704825
oparen`1`n`(List(S))->S`xExpressionSpace&(S)``0
oparen`1`n`(List(_$))->_$`cExpressionSpace``704895
oparen`1`n`(List(_$))->_$`dOutputForm``705178
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`cExpressionSpace``705306
oparen`1`n`(_$)->_$`dOutputForm``705529
oparent`1`n`(_$)->_$`dSubSpace(n,R)``705604
oparents`1`n`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``705787
oparseString`1`n`(String)->_$`dInputForm``705890
oparse`1`n`(String)->List(Syntax)`pSpadParser``705969
opart?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
opart?`2`n`(_$,_$)->Boolean`cSetAggregate(S)``706299
opartialDenominators`1`n`(_$)->Stream(R)`dContinuedFraction(R)``706433
opartialFraction`2`n`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``706654
opartialFraction`2`n`(R,Factored(R))->_$`dPartialFraction(R)``706805
opartialFraction`3`n`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``706968
opartialNumerators`1`n`(_$)->Stream(R)`dContinuedFraction(R)``707200
opartialQuotients`1`n`(_$)->Stream(R)`dContinuedFraction(R)``707415
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F)``707638
oparticularSolution`2`n`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``707688
oparticularSolution`2`n`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``707790
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``707892
opartition`1`n`(I)->I`pIntegerCombinatoricFunctions(I)``708211
opartition`1`n`(List(PositiveInteger))->_$`dPartition``708392
opartitions`1`n`(NonNegativeInteger)->Stream(_$)`dPartition``708473
oparts`1`n`(A)->List(S)`xOneDimensionalArrayAggregate&(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`n`(_$)->List(PositiveInteger)`dPartition``708555
oparts`1`n`(_$)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``708659
oparts`1`n`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`708744
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``708938
opastel`1`n`(Color)->_$`dPalette``709085
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)``709181
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)``709436
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`709750
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``709951
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``710142
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``710324
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``710516
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`710695
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``710880
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)``711067
opatternMatch`3`n`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``711284
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)``711589
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)``711846
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``712227
opattern`1`n`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``712418
opdct`1`n`(_$)->PositiveInteger`dPartition``712521
operfectNthPower?`2`n`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``712674
operfectNthRoot`1`n`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``712792
operfectNthRoot`2`n`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``712955
operfectSqrt`1`n`(I)->Union(I,"failed")`pIntegerRoots(I)``713095
operfectSquare?`1`n`(I)->Boolean`pIntegerRoots(I)``713223
opermanent`1`n`(SquareMatrix(n,R))->R`pPermanent(n,R)``713334
opermutationGroup`1`n`(List(Permutation(S)))->_$`dPermutationGroup(S)``714579
opermutationRepresentation`1`n`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``714691
opermutationRepresentation`1`n`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``714875
opermutationRepresentation`2`n`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``715111
opermutationRepresentation`2`n`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``715320
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``715473
opermutation`2`n`(I,I)->I`pIntegerCombinatoricFunctions(I)``715631
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`n`(_$,_$)->_$`cCombinatorialFunctionCategory``715777
opermutations`1`n`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``715933
operspective`2`n`(_$,String)->Void`dThreeDimensionalViewport``716039
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``716292
ophysicalLength!`2`n`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``716548
ophysicalLength`1`n`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``716665
opi`0`n`()->F`pElementaryFunction(R,F)``716767
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`n`()->_$`cTranscendentalFunctionCategory``716817
opi`0`n`()->_$`dPi``716868
opile`1`n`(List(_$))->_$`dOutputForm``716921
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`n`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``717121
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``717273
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``717653
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``718114
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``718331
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``718548
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``718665
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``718781
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``718869
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``718998
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``719036
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``719074
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``719216
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``719365
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``719555
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``719634
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``719755
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``719931
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``720175
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``720229
oplusInfinity`0`n`()->OrderedCompletion(Integer)`pInfinity``720419
oplusInfinity`0`n`()->_$`dOrderedCompletion(R)``720471
oplus`2`n`(_$,_$)->_$`dListMonoidOps(S,E,un)``720519
oplus`3`n`(S,E,_$)->_$`dListMonoidOps(S,E,un)``720637
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))`720762
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))`720973
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))`721099
opo`1`n`(_$)->P`dOppositeMonogenicLinearOperator(P,R)``721254
opoint?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``721327
opointColorDefault`0`n`()->Palette`pViewDefaultsPackage``721491
opointColorDefault`1`n`(Palette)->Palette`pViewDefaultsPackage``721579
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``721689
opointColor`1`n`(Float)->_$`dDrawOption``721915
opointColor`1`n`(Palette)->_$`dDrawOption``722058
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``722229
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``722349
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``722497
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``722678
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``722839
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``723102
opointSizeDefault`0`n`()->PositiveInteger`pViewDefaultsPackage``723151
opointSizeDefault`1`n`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``723241
opoint`1`n`(List(R))->_$`cPointCategory(R)``723341
opoint`1`n`(Point(R))->_$`cThreeSpaceCategory(R)``723454
opoint`1`n`(_$)->Point(R)`cThreeSpaceCategory(R)``723574
opoint`2`n`(_$,List(R))->_$`cThreeSpaceCategory(R)``723754
opoint`2`n`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``724004
opoint`2`n`(_$,Point(R))->_$`cThreeSpaceCategory(R)``724166
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``724408
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``724746
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``724985
opoisson`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``725249
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``725288
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``725762
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`n`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`725870
opolar`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``725985
opole?`1`n`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``726197
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``726272
opolyPart`1`n`(_$)->UP`dFullPartialFractionExpansion(F,UP)``726411
opolyRDE`5`n`(UP,UP,UP,Integer,(UP)->UP)->Union(ans:Record(ans:UP,nosol:Boolean),eq:Record(b:UP,c:UP,m:Integer,alpha:UP,beta:UP))`pTranscendentalRischDE(F,UP)``726478
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``727028
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``727405
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``727796
opolygamma`2`n`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``727889
opolygamma`2`n`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``727971
opolygamma`2`n`(_$,_$)->_$`cSpecialFunctionCategory``728053
opolygon?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``728187
opolygon`1`n`(List(Point(R)))->_$`cThreeSpaceCategory(R)``728337
opolygon`1`n`(_$)->List(Point(R))`cThreeSpaceCategory(R)``728516
opolygon`2`n`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``728745
opolygon`2`n`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``729101
opolynomial`2`n`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``729261
opolynomial`2`n`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``729382
opolynomial`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``729503
opolynomial`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``729651
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``729799
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`n`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``729838
opop!`1`n`(_$)->S`cStackAggregate(S)``729995
oport`1`n`(SingleInteger)->_$`dPortNumber``730215
oposition!`2`n`(_$,SingleInteger)->SingleInteger`dInputBinaryFile``730283
oposition`1`n`(_$)->NonNegativeInteger`cCachableSet``730359
oposition`1`n`(_$)->SingleInteger`dInputBinaryFile``730438
oposition`2`n`((S)->Boolean,A)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,_$)->Integer`cFiniteLinearAggregate(S)``730515
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`n`(S,_$)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`730718
oposition`3`n`(CharacterClass,_$,Integer)->Integer`cStringAggregate``730875
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`n`(S,_$,Integer)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`731015
oposition`3`n`(_$,_$,Integer)->Integer`cStringAggregate``731217
opositive?`1`n`(S)->Boolean`xOrderedAbelianMonoid&(S)``0
opositive?`1`n`(_$)->Boolean`cIntervalCategory(R)``731373
opositive?`1`n`(_$)->Boolean`cOrderedAbelianMonoid``731504
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`n`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``731577
opositiveRemainder`2`n`(_$,_$)->_$`cIntegerNumberSystem``731679
opositiveSolve`1`n`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``731802
opositiveSolve`1`n`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``731892
opositiveSolve`2`n`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``732018
opositiveSolve`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``732108
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(_$)->Boolean`cStreamAggregate(S)``732954
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``733168
opostfix`2`n`(_$,_$)->_$`dOutputForm``733324
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,P)``733398
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``733432
opowerAssociative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``733706
opowerSum`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``733812
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`733900
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`733989
opowers`1`n`(_$)->List(Pair(PositiveInteger,PositiveInteger))`dPartition``734067
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`n`(_$,_$,_$)->_$`cIntegerNumberSystem``734222
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``734299
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`n`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``734478
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``734647
oprecision`0`n`()->PositiveInteger`cFloatingPointSystem``734706
oprecision`1`n`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`734770
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``734855
opredicate`1`n`(_$)->SpadAst`dSuchThatAst``735008
opredicates`1`n`(_$)->List(Any)`dPattern(R)``735114
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`n`(_$,_$)->Boolean`cStringAggregate``735243
oprefixRagits`1`n`(_$)->List(Integer)`dRadixExpansion(bb)``735475
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``735690
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``735837
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`n`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``736017
oprepareDecompose`4`n`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pQuasiComponentPackage(R,E,V,P,TS)``736187
oprepareDecompose`4`n`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``736314
oprepareSubResAlgo`3`n`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``736441
opreprocess`3`n`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``736563
opreprocess`3`n`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``736679
opresub`2`n`(_$,_$)->_$`dOutputForm``736795
opresuper`2`n`(_$,_$)->_$`dOutputForm``736877
oprevPrime`1`n`(I)->I`pIntegerPrimesPackage(I)``736963
oprevious`1`n`(_$)->_$`cDoublyLinkedAggregate(S)``737047
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`737234
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`737360
oprimaryDecomp`1`n`(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)``737533
oprime?`1`n`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``737649
oprime?`1`n`(I)->Boolean`pIntegerPrimesPackage(I)``737723
oprime?`1`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``738854
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`n`(_$)->Boolean`cUniqueFactorizationDomain``738916
oprimeFactor`2`n`(R,Integer)->_$`dFactored(R)``739080
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`n`(_$)->_$`cFieldOfPrimeCharacteristic``739228
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`n`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``739320
oprime`1`n`(_$)->_$`dOutputForm``739417
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``739509
oprimes`2`n`(I,I)->List(I)`pIntegerPrimesPackage(I)``739589
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)``739677
oprimextintfrac`3`n`(Fraction(UP),(UP)->UP,Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``740023
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)``740268
oprimintfldpoly`3`n`(UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),F)->Union(UP,"failed")`pTranscendentalIntegration(F,UP)``740474
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``740674
oprimitive?`1`n`(_$)->Boolean`cFiniteFieldCategory``740823
oprimitiveElement`0`n`()->_$`cFiniteFieldCategory``741060
oprimitiveElement`1`n`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``741260
oprimitiveElement`2`n`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`741510
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``741840
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``742229
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``742621
oprimitiveMonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`n`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``742963
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`743158
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`n`(_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`743247
oprimitivePart`1`n`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``743370
oprimitivePart`1`n`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`743493
oprimitivePart`1`n`(_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`743617
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`743748
oprimitivePart`2`n`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`743945
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)``744109
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)``744302
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``744658
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`n`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``744692
oprincipalAncestors`1`n`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``744772
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`n`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``744901
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``745119
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``745157
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``745197
oprintHeader`0`n`()->Void`dTheSymbolTable``745236
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``745384
oprintHeader`2`n`(Symbol,_$)->Void`dTheSymbolTable``745530
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``745680
oprintInfo`2`n`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintInfo`2`n`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``745925
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``745977
oprintTypes`1`n`(_$)->Void`dSymbolTable``746098
oprint`1`n`(OutputForm)->Void`pPrintPackage``746219
oprint`1`n`(_$)->Void`dOutputForm``746330
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``746379
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``746500
oprod`1`n`(_$)->_$`dOutputForm``746676
oprod`2`n`(_$,_$)->_$`dOutputForm``746764
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``746888
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``747050
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``747156
oproduct`2`n`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``747303
oproduct`2`n`(_$,Symbol)->_$`cCombinatorialOpsCategory``747409
oproduct`2`n`(_$,_$)->_$`cGradedAlgebra(R,E)``747556
oproduct`2`n`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``747988
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``748251
oprolateSpheroidal`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``748361
oprologue`1`n`(_$)->List(String)`dTexFormat``748677
oproperties`1`n`(_$)->AssociationList(String,None)`dBasicOperator``748757
oproperties`1`n`(_$)->List(Property)`dBinding``748858
oproperty`2`n`(Identifier,SExpression)->_$`dProperty``748943
oproperty`2`n`(_$,Identifier)->Maybe(None)`dBasicOperator``749026
oproperty`2`n`(_$,String)->Union(None,"failed")`dBasicOperator``749155
opseudoDivide`2`n`(S,S)->Record(coef:R,quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
opseudoDivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
opseudoDivide`2`n`(_$,_$)->Record(coef:R,quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`749282
opseudoDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``749475
opseudoDivide`2`n`(polR,polR)->Record(coef:R,quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``749723
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`n`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`749839
opseudoRemainder`2`n`(_$,_$)->_$`cUnivariatePolynomialCategory(R)``750031
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)``750268
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)``750397
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)``750547
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)``750698
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``750839
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)``751066
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``751230
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)``751466
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``751631
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``751868
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``752067
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``752310
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``752561
optree`1`n`(S)->_$`dPendantTree(S)``752654
optree`2`n`(_$,_$)->_$`dPendantTree(S)``752701
opuiseux`1`n`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``752740
opuiseux`1`n`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``752923
opuiseux`2`n`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``752993
opuiseux`2`n`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``753105
opuiseux`2`n`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``753347
opuiseux`3`n`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``753400
opuiseux`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``753568
opuiseux`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``753790
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``754004
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`n`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``754141
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``754482
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``754622
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``754818
opush!`2`n`(S,_$)->S`cStackAggregate(S)``754966
opushNewContour`2`n`(Binding,_$)->_$`dScope``755228
opush`2`n`(Binding,_$)->_$`dContour``755305
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``755368
opushdown`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``755413
opushdown`2`n`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``755457
opushdterm`2`n`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``755607
opushucoef`2`n`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``755760
opushuconst`2`n`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``755908
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``756044
opushup`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``756087
opushup`2`n`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``756129
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``756287
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``756491
oputProperties`3`n`(Identifier,List(Property),_$)->_$`dEnvironment``756903
oputProperty`4`n`(Identifier,Identifier,SExpression,_$)->_$`dEnvironment``757010
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``757123
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`n`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``757340
oqelt`2`n`(_$,NonNegativeInteger)->T`dDataArray(N,T)``757709
oqelt`3`n`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``757808
oqelt`3`n`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``758002
oqfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(Fraction(Integer))),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``758174
oqinterval`2`n`(R,R)->_$`cIntervalCategory(R)``758286
oqqq`3`n`(NonNegativeInteger,TaylorSeries(R),Stream(TaylorSeries(R)))->(Stream(TaylorSeries(R)))->Stream(TaylorSeries(R))`pWeierstrassPreparation(R)``758426
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``758472
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`n`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ATTRIBUTE(shallowlyMutable))`758563
oqsetelt!`4`n`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``758815
oqsetelt`3`n`(_$,NonNegativeInteger,T)->T`dDataArray(N,T)``758992
oquadraticForm`1`n`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``759112
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``759212
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``759298
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``759339
oqualifier`1`n`(_$)->SpadAst`dWhereAst``759384
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``759456
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``759495
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``759542
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`n`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``759736
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`n`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``759893
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``760108
oquasiRegular?`1`n`(_$)->Boolean`cXFreeAlgebra(vl,R)``760290
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``760371
oquasiRegular`1`n`(_$)->_$`cXFreeAlgebra(vl,R)``760452
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``760523
oquatern`4`n`(R,R,R,R)->_$`cQuaternionCategory(R)``760594
oqueue`1`n`(List(S))->_$`dQueue(S)``760663
oquickSort`2`n`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``760817
oquoByVar`1`n`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``760940
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`cEuclideanDomain``761209
oquo`2`n`(_$,_$)->_$`dNonNegativeInteger``761318
oquo`2`n`(_$,_$)->_$`dOutputForm``761415
oquote`0`n`()->_$`dCharacter``761472
oquote`1`n`(_$)->_$`dOutputForm``761541
oquoted?`1`n`(_$)->Boolean`dPattern(R)``761611
oquotedOperators`1`n`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``761695
oquotientByP`1`n`(_$)->_$`cPAdicIntegerCategory(p)``761922
oquotient`2`n`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``761997
oquotient`2`n`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``762148
orCoord`1`n`(Point(R))->R`pPointPackage(R)``762251
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``762522
oradicalEigenvalues`1`n`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``762647
oradicalEigenvector`2`n`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``762801
oradicalEigenvectors`1`n`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``762999
oradicalOfLeftTraceForm`0`n`()->List(A)`pAlgebraPackage(R,A)``763180
oradicalRoots`2`n`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``763418
oradicalRoots`2`n`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``763570
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)``763748
oradicalSolve`1`n`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``764066
oradicalSolve`1`n`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``764263
oradicalSolve`1`n`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``764429
oradicalSolve`1`n`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``764640
oradicalSolve`2`n`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``764831
oradicalSolve`2`n`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``765000
oradicalSolve`2`n`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``765193
oradicalSolve`2`n`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``765390
oradical`1`n`(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)``765621
oradix`2`n`(Fraction(Integer),Integer)->Any`pRadixUtilities``765689
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``765771
oramified?`1`n`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``765933
oramified?`1`n`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``766000
oramifiedAtInfinity?`0`n`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``766070
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``766137
orandnum`0`n`()->Integer`pRandomNumberSource``766233
orandnum`1`n`(Integer)->Integer`pRandomNumberSource``766298
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``766366
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``766427
orandomR`0`n`()->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``766483
orandomR`0`n`()->R`pPolynomialFactorizationByRecursionUnivariate(R,S)``766543
orandom`0`n`()->A`xFiniteSetAggregate&(A,S)``0
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`()->_$`cFinite``766605
orandom`0`n`()->_$`cIntegerNumberSystem``766667
orandom`0`n`()->_$`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`766716
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``766766
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``766889
orandom`1`n`(_$)->Permutation(S)`dPermutationGroup(S)``766973
orandom`1`n`(_$)->_$`cIntegerNumberSystem``767109
orandom`1`n`(_$)->_$`dNonNegativeInteger``767180
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``767251
orandom`2`n`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``767418
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``767524
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``767604
orange`1`n`(List(Segment(Float)))->_$`dDrawOption``767723
orange`1`n`(List(Segment(Fraction(Integer))))->_$`dDrawOption``767848
oranges`1`n`(List(Segment(Float)))->_$`dDrawOption``767973
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``768105
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``768259
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``768463
orank`0`n`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``768694
orank`0`n`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``768748
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``768821
orank`1`n`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`768884
orank`1`n`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`768947
orank`1`n`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`769010
orank`1`n`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``769073
orank`2`n`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``769216
orank`2`n`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``769330
orarrow`2`n`(_$,_$)->_$`dOutputForm``769444
oratDenom`1`n`(F)->F`pAlgebraicManipulations(R,F)``769516
oratDenom`2`n`(F,F)->F`pAlgebraicManipulations(R,F)``769654
oratDenom`2`n`(F,List(F))->F`pAlgebraicManipulations(R,F)``769770
oratDenom`2`n`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``769896
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``770014
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``770319
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``770545
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``770850
oratPoly`1`n`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``771076
orational?`1`n`(S)->Boolean`pRationalRetractions(S)``771204
orational?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
orational?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
orational?`1`n`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`771311
orational?`1`n`(_$)->Boolean`cIntegerNumberSystem``771378
orational?`1`n`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`771479
orational?`1`n`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`771595
orational?`1`n`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`771791
orational?`1`n`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`771911
orational?`1`n`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`771985
orationalApproximation`2`n`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``772059
orationalApproximation`2`n`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``772195
orationalApproximation`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``772331
orationalApproximation`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``772509
orationalFunction`2`n`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`772685
orationalFunction`3`n`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`772819
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``772980
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`n`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`773099
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``773221
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`773326
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`773441
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`773666
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`773776
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`773888
orationalPoint?`2`n`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``774001
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``774079
orationalPoints`0`n`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`774157
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``774240
orationalPower`1`n`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``774323
orational`1`n`(S)->Fraction(Integer)`pRationalRetractions(S)``774421
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`n`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`774530
orational`1`n`(_$)->Fraction(Integer)`cIntegerNumberSystem``774640
orational`1`n`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`774728
orational`1`n`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`774848
orational`1`n`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`775059
orational`1`n`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`775219
orational`1`n`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`775336
oratpart`1`n`(_$)->F`dIntegrationResult(F)``775451
oravel`1`n`(_$)->List(R)`dCartesianTensor(minix,dim,R)``775528
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``775649
ordregime`1`n`(String)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``775692
oread!`1`n`(_$)->S`cFileCategory(Name,S)``775765
oreadByte!`1`n`(_$)->Maybe(Byte)`cInputByteConduit``775929
oreadBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xInputByteConduit&(S)``0
oreadBytes!`2`n`(_$,ByteBuffer)->NonNegativeInteger`cInputByteConduit``776079
oreadIfCan!`1`n`(_$)->Union(S,"failed")`dFile(S)``776268
oreadIfCan!`1`n`(_$)->Union(String,"failed")`dTextFile``776463
oreadInt16!`1`n`(S)->Maybe(Int16)`xInputByteConduit&(S)``0
oreadInt16!`1`n`(_$)->Maybe(Int16)`cInputByteConduit``776676
oreadInt32!`1`n`(S)->Maybe(Int32)`xInputByteConduit&(S)``0
oreadInt32!`1`n`(_$)->Maybe(Int32)`cInputByteConduit``776838
oreadInt8!`1`n`(S)->Maybe(Int8)`xInputByteConduit&(S)``0
oreadInt8!`1`n`(_$)->Maybe(Int8)`cInputByteConduit``777000
oreadLine!`1`n`(_$)->String`dTextFile``777160
oreadLineIfCan!`1`n`(_$)->Union(String,"failed")`dTextFile``777254
oreadUInt16!`1`n`(S)->Maybe(UInt16)`xInputByteConduit&(S)``0
oreadUInt16!`1`n`(_$)->Maybe(UInt16)`cInputByteConduit``777471
oreadUInt32!`1`n`(S)->Maybe(UInt32)`xInputByteConduit&(S)``0
oreadUInt32!`1`n`(_$)->Maybe(UInt32)`cInputByteConduit``777634
oreadUInt8!`1`n`(S)->Maybe(UInt8)`xInputByteConduit&(S)``0
oreadUInt8!`1`n`(_$)->Maybe(UInt8)`cInputByteConduit``777797
oreadable?`1`n`(_$)->Boolean`cFileNameCategory``777958
oreal?`1`n`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``778049
oreal?`1`n`(F)->Boolean`pTrigonometricManipulations(R,F)``778114
oreal?`1`n`(_$)->Boolean`dFortranScalarType``778179
orealEigenvalues`2`n`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``778265
orealEigenvectors`2`n`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``778492
orealElementary`1`n`(F)->F`pElementaryFunctionStructurePackage(R,F)``778789
orealElementary`2`n`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``778939
orealRoots`2`n`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``779125
orealRoots`3`n`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``779242
orealSolve`1`n`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``779563
orealSolve`1`n`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``779650
orealSolve`2`n`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``779930
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``780024
orealSolve`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``780236
orealSolve`4`n`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``780338
orealZeros`1`n`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``781237
orealZeros`1`n`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``781368
orealZeros`2`n`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``781499
orealZeros`2`n`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``781658
orealZeros`2`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``781817
orealZeros`2`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``782011
orealZeros`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``782205
orealZeros`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``782430
oreal`1`n`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``782655
oreal`1`n`(F)->F`pTrigonometricManipulations(R,F)``782749
oreal`1`n`(_$)->R`cComplexCategory(R)``782843
oreal`1`n`(_$)->R`cOctonionCategory(R)``782896
oreal`1`n`(_$)->R`cQuaternionCategory(R)``782959
orecip`0`n`()->_$`dMoebiusTransform(F)``783028
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)``783126
orecip`1`n`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`783229
orecip`1`n`(_$)->Union(_$,"failed")`cMonadWithUnit``783455
orecip`1`n`(_$)->Union(_$,"failed")`cMonoid``783650
orecip`1`n`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,Q)``783790
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``783904
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``783941
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``783978
orecip`2`n`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``784022
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`n`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``784218
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``784310
orecolor`2`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``784480
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``784578
orecur`1`n`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``784703
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``784814
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``784875
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``784909
ored`0`n`()->_$`dColor``784944
ored`1`n`(_$)->T`cRGBColorModel(T)``785017
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``785074
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)``785211
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`n`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``785325
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``785485
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``785614
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``785957
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`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`786044
oreduce`1`n`(P)->_$`dModMonic(R,P)``786128
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``786166
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(UP)->_$`cMonogenicAlgebra(R,UP)``786206
oreduce`1`n`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``786359
oreduce`1`n`(_$)->_$`dAlgebraicNumber``786490
oreduce`1`n`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`786619
oreduce`1`n`(_$)->_$`dInnerAlgebraicNumber``786751
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,_$)->S`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`786880
oreduce`2`n`(R,Mod)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``787294
oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``787334
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``787374
oreduce`3`n`((A,B)->B,DirectProduct(dim,A),B)->B`pDirectProductFunctions2(dim,A,B)``787414
oreduce`3`n`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``787584
oreduce`3`n`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``787941
oreduce`3`n`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``788277
oreduce`3`n`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``788607
oreduce`3`n`((P,P)->P,S,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`3`n`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``788777
oreduce`3`n`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``788904
oreduce`3`n`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``789037
oreduce`3`n`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``789361
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`n`((S,S)->S,_$,S)->S`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`789677
oreduce`3`n`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``790116
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`((S,S)->S,_$,S,S)->S`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`790318
oreduce`4`n`(P,S,(P,P)->P,(P,P)->Boolean)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`(P,_$,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``790750
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``791442
oreduced?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``791591
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`n`(P,_$,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``791706
oreducedContinuedFraction`2`n`(R,Stream(R))->_$`dContinuedFraction(R)``791977
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``792273
oreducedForm`1`n`(_$)->_$`dContinuedFraction(R)``792325
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``792561
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``792724
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`n`(Matrix(_$),Vector(_$))->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitRingOver(R)``792862
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``793025
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``793186
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``793294
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`1`n`(_$)->_$`cAbelianMonoidRing(R,E)``793385
oreductum`1`n`(_$)->_$`cFreeModuleCat(R,Basis)``793496
oreductum`1`n`(_$)->_$`cIndexedDirectProductCategory(A,S)``793563
oreductum`1`n`(_$)->_$`cMonogenicLinearOperator(R)``793730
oreductum`1`n`(_$)->_$`cUnivariateSkewPolynomialCategory(R)``793848
oreductum`1`n`(_$)->_$`dAntiSymm(R,lVar)``793966
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``794151
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``794332
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``794372
oreductum`1`n`(_$)->_$`dMonoidRing(R,M)`has(M,OrderedSet)`794412
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``794478
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`n`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``794587
oref`1`n`(S)->_$`dReference(S)``794757
orefine`1`n`(_$)->_$`dPlot3D``794822
orefine`1`n`(_$)->_$`dPlot``794860
orefine`1`n`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``794927
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``795010
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``795414
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``795456
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``795496
orefine`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``795536
orefine`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``795715
orefine`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``795894
orefine`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``796198
oreflect`1`n`(ConstructorCall(DomainConstructor))->_$`dDomain``796502
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)``796686
oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``797532
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`n`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``797808
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`n`(_$,Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``797960
oreify`1`n`(_$)->ConstructorCall(DomainConstructor)`dDomain``798132
oreindex`2`n`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``798203
orelationsIdeal`1`n`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeals(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`798451
orelativeApprox`2`n`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``798563
orelativeApprox`3`n`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``798701
orelativeApprox`3`n`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``798842
orelerror`2`n`(_$,_$)->Integer`dFloat``798974
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`cEuclideanDomain``799090
orem`2`n`(_$,_$)->_$`dNonNegativeInteger``799200
orem`2`n`(_$,_$)->_$`dOutputForm``799270
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`n`(P,_$)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`799327
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`799672
oremove!`2`n`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``799828
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``799964
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(S,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`800168
oremove!`2`n`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`800309
oremove!`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``800393
oremove!`3`n`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``800465
oremove!`3`n`(S,_$,Integer)->_$`dMultiset(S)``800760
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`801007
oremoveCosSq`1`n`(F)->F`pTranscendentalManipulations(R,F)``801117
oremoveCoshSq`1`n`(F)->F`pTranscendentalManipulations(R,F)``801296
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`n`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`801479
oremoveDuplicates!`1`n`(_$)->_$`cMultiDictionary(S)``801562
oremoveDuplicates`1`n`(A)->A`xCollection&(A,S)``0
oremoveDuplicates`1`n`(A)->A`xExtensibleLinearAggregate&(A,S)``0
oremoveDuplicates`1`n`(_$)->_$`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`801664
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`801754
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`802053
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`802424
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``802775
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``803490
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``803786
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``804097
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``804230
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`804447
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``804813
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``804965
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``805275
oremoveSinSq`1`n`(F)->F`pTranscendentalManipulations(R,F)``805564
oremoveSinhSq`1`n`(F)->F`pTranscendentalManipulations(R,F)``805743
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``805926
oremoveSuperfluousCases`1`n`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``806112
oremoveSuperfluousCases`1`n`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``806218
oremoveSuperfluousQuasiComponents`1`n`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``806324
oremoveSuperfluousQuasiComponents`1`n`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``806506
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``806688
oremoveZeroes`1`n`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``806995
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``807534
oremoveZeroes`2`n`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``808098
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``808562
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)->Boolean,_$)->_$`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`808674
oremove`2`n`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``808918
oremove`2`n`(S,A)->A`xCollection&(A,S)``0
oremove`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(S,_$)->_$`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`809112
oremove`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``809325
oremove`3`n`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``809548
oremove`3`n`(S,_$,Integer)->_$`dMultiset(S)``809828
orename!`2`n`(_$,OutputForm)->_$`cRealClosedField``810060
orename`2`n`(_$,OutputForm)->_$`cRealClosedField``810144
oreopen!`2`n`(_$,String)->_$`cFileCategory(Name,S)``810222
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``810410
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``810552
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``810694
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``810836
orepeating?`2`n`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`810967
orepeating`1`n`(List(S))->_$`dStream(S)``811102
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``811186
oreplace`3`n`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``811374
orepresentationType`0`n`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``811498
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(F))->_$`cFiniteAlgebraicExtensionField(F)``811655
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`n`(Vector(R))->_$`cFramedAlgebra(R,UP)``811794
orepresents`1`n`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``811935
orepresents`2`n`(Vector(Fraction(UP)),Vector(S))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(_$))->_$`cFiniteRankAlgebra(R,UP)``812100
orepresents`2`n`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``812184
orepresents`2`n`(Vector(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``812293
oreseed`1`n`(Integer)->Void`pRandomNumberSource``812389
oresetBadValues`1`n`(_$)->_$`dPattern(R)``812463
oresetNew`0`n`()->Void`dSymbol``812623
oresetVariableOrder`0`n`()->Void`pUserDefinedVariableOrdering``812750
oreset`1`n`(_$)->Void`dThreeDimensionalViewport``812874
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``813094
oreshape`2`n`(List(S),PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``813310
oreshape`2`n`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``813351
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``813471
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``813720
oresolve`1`n`(Hostname)->Maybe(_$)`dIP4Address``813965
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`(_$)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``814034
orest`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)``814202
orest`1`n`(_$)->_$`dMagma(VarSet)``814342
orest`1`n`(_$)->_$`dOrderedFreeMonoid(S)``814500
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``814564
orest`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
orest`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`2`n`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``814639
oresult`1`n`(_$)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``814773
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``815003
oresultantEuclideannaif`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``815142
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`815316
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`815503
oresultant`2`n`(_$,_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`815628
oresultant`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`815721
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``815976
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`n`(_$,_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`816086
oresultantnaif`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``816219
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(R,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialVariableCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Symbol,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(V,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(Any)->Union(S,"failed")`pAnyFunctions1(S)``816384
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``816550
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(List(P))->Union(_$,"failed")`cPolynomialSetCategory(R,E,VarSet,P)``816594
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`816773
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`816921
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`817069
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`817217
oretractIfCan`1`n`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`817365
oretractIfCan`1`n`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`817513
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`(_$)->Union(S,"failed")`cRetractableTo(S)``817661
oretract`1`n`(A)->Fraction(Integer)`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Fraction(Integer)`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->Integer`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Integer`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xDifferentialVariableCategory&(A,S)``0
oretract`1`n`(A)->S`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->S`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xRetractableTo&(A,S)``0
oretract`1`n`(A)->Symbol`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(Any)->S`pAnyFunctions1(S)``817811
oretract`1`n`(List(P))->_$`cPolynomialSetCategory(R,E,VarSet,P)``817975
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`818141
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`818329
oretract`1`n`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`818517
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`818705
oretract`1`n`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`818893
oretract`1`n`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`819081
oretract`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Fraction(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Polynomial(R))`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Integer`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oretract`1`n`(S)->Integer`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Integer`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Integer`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Integer`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Integer`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Integer`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Kernel(S)`xExpressionSpace&(S)``0
oretract`1`n`(S)->Kernel(S)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Polynomial(R)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xComplexCategory&(S,R)``0
oretract`1`n`(S)->R`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->R`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->SingletonAsOrderedSet`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Symbol`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Symbol`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->ULS`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretract`1`n`(S)->UTS`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->VarSet`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(_$)->S`cRetractableTo(S)``819269
oretractable?`1`n`(Any)->Boolean`pAnyFunctions1(S)``819404
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``819502
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``819608
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``819735
oretractable?`1`n`(_$)->Boolean`dMagma(VarSet)``819830
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``819925
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``820021
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``820145
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``820269
oreturnTypeOf`2`n`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``820397
oreverse!`1`n`(A)->A`xListAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oreverse!`1`n`(_$)->_$`cDequeueAggregate(S)``820483
oreverse!`1`n`(_$)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`820656
oreverse!`1`n`(_$)->_$`dListMonoidOps(S,E,un)``820735
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``820845
oreverse`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``821039
oreverse`1`n`(_$)->_$`cFiniteLinearAggregate(S)``821108
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``821193
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``821412
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``821609
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`n`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`821804
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``822135
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`n`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`822560
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``822869
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`n`(List(P),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``823471
orhs`1`n`(_$)->F`dRewriteRule(Base,R,F)``824455
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``824526
orhs`1`n`(_$)->S`dEquation(S)``824582
orhs`1`n`(_$)->SpadAst`dCaseAst``824657
orhs`1`n`(_$)->SpadAst`dHasAst``824734
orhs`1`n`(_$)->SpadAst`dIsAst``824811
orhs`1`n`(_$)->SpadAst`dLetAst``824886
orhs`1`n`(_$)->TypeAst`dColonAst``824969
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`825047
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`825161
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`825275
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``825494
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`825659
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``825878
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``826043
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``826313
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``826583
orightAlternative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``826629
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``826843
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`n`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``827057
orightDiscriminant`0`n`()->R`cFramedNonAssociativeAlgebra(R)``827217
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``827588
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``827959
orightDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`828263
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`828460
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`n`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`828703
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`n`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`828811
orightFactorCandidate`2`n`(UP,NonNegativeInteger)->UP`pPolynomialDecomposition(UP,F)``828921
orightFactorIfCan`3`n`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``828975
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`829259
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`829497
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`829696
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``829932
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`n`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``830059
orightOne`1`n`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`830159
orightOne`1`n`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`830218
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`n`(_$,NonNegativeInteger)->_$`cMonadWithUnit``830277
orightPower`2`n`(_$,PositiveInteger)->_$`cMonad``830464
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`830651
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`830840
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`830938
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``831179
orightRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``831420
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`n`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`831579
orightRecip`1`n`(_$)->Union(_$,"failed")`cMonadWithUnit``831794
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`n`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``831978
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`n`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``832152
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`832351
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``832541
orightTraceMatrix`0`n`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``832732
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``833020
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`n`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``833308
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`n`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``833518
orightTrim`2`n`(_$,Character)->_$`cStringAggregate``833613
orightTrim`2`n`(_$,CharacterClass)->_$`cStringAggregate``833788
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`n`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`833984
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`834111
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``834237
orightZero`1`n`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`834362
oright`1`n`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``834421
oright`1`n`(_$)->_$`cBinaryRecursiveAggregate(S)``834497
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``834545
oright`1`n`(_$)->_$`dMagma(VarSet)``834703
oright`1`n`(_$)->_$`dOutputForm``834856
oright`2`n`(_$,Integer)->_$`dOutputForm``834925
orischDE`6`n`(Integer,F,F,Symbol,(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"),(F,F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(ans:F,right:F,sol?:Boolean)`pElementaryRischDE(R,F)``835012
orischDEsys`7`n`(Integer,F,F,F,Symbol,(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"),(F,F)->Union(Record(ratpart:F,coeff:F),"failed"))->Union(List(F),"failed")`pElementaryRischDESystem(R,F)``835377
orischNormalize`2`n`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``835687
ork4`5`n`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``835876
ork4`9`n`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``836519
ork4a`8`n`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``836758
ork4f`6`n`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``837079
ork4qc`14`n`(Vector(Float),Integer,Float,Record(tryValue:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``837573
ork4qc`7`n`(Vector(Float),Integer,Float,Record(tryValue:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``838058
oroman`1`n`(Integer)->_$`dRomanNumeral``838522
oroman`1`n`(Symbol)->_$`dRomanNumeral``838583
oromberg`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``838651
orombergo`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``839339
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``840021
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``840058
orootDirectory`0`n`()->String`pSystem``840155
orootKerSimp`3`n`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`840262
orootNormalize`2`n`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``840329
orootOfIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``840534
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(Polynomial(_$))->_$`cAlgebraicallyClosedField``840784
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`n`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``840908
orootOf`1`n`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``840976
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``841100
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`(SparseUnivariatePolynomial(_$),PositiveInteger)->Union(_$,"failed")`cRealClosedField``841214
orootOf`2`n`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``841334
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``841448
orootOf`2`n`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``841546
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`n`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``841659
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``841787
orootPower`1`n`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`841958
orootProduct`1`n`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`842116
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``842351
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``842566
orootSimp`1`n`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`842689
orootSplit`1`n`(F)->F`pAlgebraicManipulations(R,F)``842921
oroot`1`n`(_$)->_$`dOutputForm``843151
oroot`2`n`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``843226
oroot`2`n`(_$,_$)->_$`dOutputForm``843354
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``843435
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``843675
orootsOf`1`n`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``843859
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``844102
orootsOf`2`n`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``844350
orotate!`1`n`(_$)->_$`cQueueAggregate(S)``844598
orotate`3`n`(_$,Float,Float)->Void`dThreeDimensionalViewport``844792
orotate`3`n`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``845029
orotatex`1`n`(R)->_$`dDenavitHartenbergMatrix(R)``845385
orotatey`1`n`(R)->_$`dDenavitHartenbergMatrix(R)``845483
orotatez`1`n`(R)->_$`dDenavitHartenbergMatrix(R)``845581
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`n`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`845679
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``845853
oroughEqualIdeals?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughEqualIdeals?`2`n`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`845971
oroughSubIdeal?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughSubIdeal?`2`n`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`846215
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`n`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`846485
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`n`(_$)->_$`cRealNumberSystem``846627
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``846691
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``846856
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``846963
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``847149
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``847282
orowEchelon`1`n`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`847363
orowEchelon`1`n`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`847444
orowEchelon`1`n`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`847525
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``847606
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`n`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``847897
orow`2`n`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``848020
orquo`2`n`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``848136
orquo`2`n`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``848251
orquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``848333
orquo`2`n`(_$,_$)->Union(_$,"failed")`cFreeMonoidCategory(S)``848416
orquo`2`n`(_$,_$)->_$`cXFreeAlgebra(vl,R)``848609
orquo`2`n`(_$,vl)->_$`cXFreeAlgebra(vl,R)``848691
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``848786
orspace`2`n`(Integer,Integer)->_$`dOutputForm``848877
orst`1`n`(_$)->_$`cLazyStreamAggregate(S)``848970
orubiksGroup`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``849160
orule`2`n`(F,F)->_$`dRewriteRule(Base,R,F)``851737
orule`3`n`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``851878
orules`1`n`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``852245
oruleset`1`n`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``852309
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``852385
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``852447
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``853578
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``854059
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``854207
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`854240
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`854375
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`854526
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`854681
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMonoid&(S)``0
osample`0`n`()->_$`cAbelianMonoid``854880
osample`0`n`()->_$`cAggregate``854927
osample`0`n`()->_$`cMonoid``854974
osample`0`n`()->_$`dByte``855021
osample`0`n`()->_$`dCartesianTensor(minix,dim,R)``855077
osample`0`n`()->_$`dInt16``0
osample`0`n`()->_$`dInt32``0
osample`0`n`()->_$`dInt64``0
osample`0`n`()->_$`dInt8``0
osample`0`n`()->_$`dSymbol``855130
osample`0`n`()->_$`dSystemInteger(N)``855176
osample`0`n`()->_$`dSystemNonNegativeInteger(N)``855232
osample`0`n`()->_$`dUInt16``0
osample`0`n`()->_$`dUInt32``0
osample`0`n`()->_$`dUInt64``0
osample`0`n`()->_$`dUInt8``0
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``855288
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``855398
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``855529
osaturate`2`n`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``855754
osaturate`3`n`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``855899
osayLength`1`n`(List(String))->Integer`pDisplayPackage``856062
osayLength`1`n`(String)->Integer`pDisplayPackage``856153
osay`1`n`(List(String))->Void`pDisplayPackage``856235
osay`1`n`(String)->Void`pDisplayPackage``856300
oscalarMatrix`1`n`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``856356
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`n`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``856479
oscalarTypeOf`1`n`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``856604
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``856676
oscale`1`n`(F)->_$`dMoebiusTransform(F)``856777
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``856876
oscale`3`n`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``856974
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``857087
oscanOneDimSubspaces`2`n`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`857398
oscan`3`n`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``858076
oscan`3`n`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``858309
oscan`3`n`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``858688
oscan`3`n`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``858974
oscan`3`n`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``859254
oscan`3`n`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``859487
oscan`3`n`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``859766
oscan`3`n`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``860045
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``860206
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``860345
oscopes`1`n`(_$)->List(Scope)`dEnvironment``860605
oscreenResolution3D`0`n`()->Integer`dPlot3D``860682
oscreenResolution`0`n`()->Integer`dPlot``860763
oscreenResolution`0`n`()->Integer`pGraphicsDefaults``860826
oscreenResolution`1`n`(Integer)->Integer`pGraphicsDefaults``860899
oscript`2`n`(_$,List(List(OutputForm)))->_$`dSymbol``860973
oscript`2`n`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``861292
oscripted?`1`n`(_$)->Boolean`dSymbol``861479
oscripts`1`n`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``861561
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``861623
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``861753
osearch`2`n`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``861812
osec2cos`1`n`(F)->F`pTranscendentalManipulations(R,F)``862032
osecIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``862130
osec`1`n`(F)->F`pElementaryFunction(R,F)``862217
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)``862278
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``862345
osec`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``862412
osec`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``862480
osec`1`n`(_$)->_$`cTrigonometricFunctionCategory``862550
osech2cosh`1`n`(F)->F`pTranscendentalManipulations(R,F)``862603
osechIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``862705
osech`1`n`(F)->F`pElementaryFunction(R,F)``862794
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)``862867
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``862950
osech`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``863033
osech`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``863113
osech`1`n`(_$)->_$`cHyperbolicFunctionCategory``863195
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`n`(_$)->S`cUnaryRecursiveAggregate(S)``863260
osecond`1`n`(_$)->T`dPair(S,T)``863380
oseed`0`n`()->Integer`pRandomNumberSource``863443
osegment`1`n`(S)->_$`dUniversalSegment(S)``863496
osegment`1`n`(_$)->S`dRangeBinding(S,T)``863578
osegment`1`n`(_$)->Segment(S)`dSegmentBinding(S)``0
osegment`2`n`(S,S)->_$`cSegmentCategory(S)``863765
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect!`2`n`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`863847
oselect!`2`n`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``864006
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``864134
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``864404
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``864672
oselect`2`n`((P)->Boolean,S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oselect`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oselect`2`n`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`864896
oselect`2`n`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``865131
oselect`2`n`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``865311
oselect`2`n`(S,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`(_$,NonNegativeInteger)->S`dTuple(S)``865375
oselect`2`n`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``865471
oselectfirst`1`n`(_$)->A`dProduct(A,B)``865595
oselectsecond`1`n`(_$)->B`dProduct(A,B)``865638
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``865682
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``865938
osemiGroupOperation`1`n`((T,T)->T)->_$`dSemiGroupOperation(T)``866147
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``866276
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``866556
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``866806
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``866975
osemiResultantEuclideannaif`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``867186
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`867365
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``867560
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``867833
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``868162
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`n`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``868265
oseparateDegrees`1`n`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``868390
oseparateFactors`1`n`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``868542
oseparateFactors`2`n`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``868708
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`868890
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``868930
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`n`(_$,_$)->Record(primePart:_$,commonPart:_$)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`869096
osequence`1`n`(_$)->SpadAst`dInAst``869229
osequences`1`n`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``869315
osequences`2`n`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``869487
oseriesSolve`4`n`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``869826
oseriesSolve`4`n`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``870061
oseriesSolve`4`n`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``870159
oseriesSolve`4`n`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``870538
oseriesSolve`4`n`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``870647
oseriesSolve`4`n`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``870754
oseriesSolve`4`n`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``870879
oseriesSolve`4`n`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``871216
oseriesSolve`4`n`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``871388
oseriesSolve`4`n`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``871580
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``871739
oseries`1`n`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``871835
oseries`1`n`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``872016
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``872108
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``872538
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``872737
oseries`1`n`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``872936
oseries`1`n`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``873135
oseries`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``873196
oseries`2`n`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``873278
oseries`2`n`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``873381
oseries`2`n`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``873621
oseries`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``873931
oseries`3`n`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``874112
oseries`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``874271
oseries`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``874349
oseries`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``874569
oseries`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``874738
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``874950
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``875069
osetClipValue`1`n`(DoubleFloat)->DoubleFloat`pDrawComplex``875182
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``875305
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`n`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``875477
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``875559
osetDifference`2`n`(_$,_$)->_$`dList(S)`has(S,SetCategory)`875721
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``875892
osetEpilogue!`2`n`(_$,List(String))->List(String)`dTexFormat``875969
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``876075
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``876374
osetImagSteps`1`n`(Integer)->Integer`pDrawComplex``876555
osetIntersection`2`n`(_$,_$)->_$`dList(S)`has(S,SetCategory)`876706
osetLength!`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dByteBuffer``876885
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``877003
osetMaxPoints`1`n`(Integer)->Integer`dPlot``877092
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``877178
osetMinPoints`1`n`(Integer)->Integer`dPlot``877267
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``877353
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``877518
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``877847
osetPoly`1`n`(P)->P`dModMonic(R,P)``878217
osetPosition`2`n`(_$,NonNegativeInteger)->Void`cCachableSet``878256
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``878333
osetPrologue!`2`n`(_$,List(String))->List(String)`dTexFormat``878438
osetProperties`2`n`(_$,AssociationList(String,None))->_$`dBasicOperator``878544
osetProperty`3`n`(_$,Identifier,None)->_$`dBasicOperator``878708
osetProperty`3`n`(_$,String,None)->_$`dBasicOperator``878899
osetRealSteps`1`n`(Integer)->Integer`pDrawComplex``879090
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`n`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``879236
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``879312
osetScreenResolution`1`n`(Integer)->Integer`dPlot``879406
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``879482
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``879638
osetTex!`2`n`(_$,List(String))->List(String)`dTexFormat``879984
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``880080
osetUnion`2`n`(_$,_$)->_$`dList(S)`has(S,SetCategory)`880203
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``880371
osetVariableOrder`1`n`(List(Symbol))->Void`pUserDefinedVariableOrdering``880525
osetVariableOrder`2`n`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``880660
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`n`()->_$`cSetAggregate(S)``880836
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`n`(List(S))->_$`cSetAggregate(S)``880915
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`n`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`881025
osetelt`3`n`(A,"first",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"first",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"left",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"right",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(_$,"first",S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`881157
osetelt`3`n`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`881299
osetelt`3`n`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`881438
osetelt`3`n`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`881564
osetelt`3`n`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`881703
osetelt`3`n`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`881839
osetelt`3`n`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ATTRIBUTE(shallowlyMutable))`881967
osetelt`3`n`(_$,Key,Entry)->Entry`cTableAggregate(Key,Entry)``882156
osetelt`3`n`(_$,Symbol,Any)->Any`dLibrary``882316
osetelt`3`n`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`882443
osetelt`4`n`(S,Integer,Integer,R)->R`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`n`(S,List(Integer),List(Integer),S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`n`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``882823
osetelt`4`n`(_$,List(Integer),List(Integer),_$)->_$`cMatrixCategory(R,Row,Col)``882995
osetfirst!`2`n`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`883297
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`n`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`883384
osetleaves!`2`n`(_$,List(S))->_$`dBalancedBinaryTree(S)``883476
osetleft!`2`n`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`883582
osetnext!`2`n`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`883659
osetprevious!`2`n`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`883791
osetref`2`n`(_$,S)->S`dReference(S)``883931
osetrest!`2`n`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`884007
osetrest!`3`n`(_$,Integer,_$)->_$`dStream(S)``884091
osetright!`2`n`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`884211
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`n`(_$,Integer,Integer,_$)->_$`cMatrixCategory(R,Row,Col)``884289
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`n`(_$,S)->S`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`884493
osh`2`n`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`884567
osh`2`n`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`884644
oshade`1`n`(Point(R))->R`pPointPackage(R)``884771
oshade`1`n`(_$)->Integer`dPalette``885100
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``885182
oshallowExpand`1`n`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``885225
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``885272
oshape`1`n`(_$)->Partition`dYoungDiagram``885540
oshellSort`2`n`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``885602
oshiftLeft`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftLeft`2`n`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``885725
oshiftRight`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftRight`2`n`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``885787
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``885870
oshift`1`n`(F)->_$`dMoebiusTransform(F)``885984
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``886083
oshift`2`n`(_$,Integer)->_$`dFloat``886181
oshift`2`n`(_$,Integer)->_$`dNonNegativeInteger``886255
oshift`2`n`(_$,_$)->_$`cIntegerNumberSystem``886313
oshowAll?`0`n`()->Boolean`dStream(S)`has(S,SetCategory)`886373
oshowAllElements`1`n`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`886472
oshowClipRegion`2`n`(_$,String)->Void`dThreeDimensionalViewport``886566
oshowRegion`2`n`(_$,String)->Void`dThreeDimensionalViewport``886818
oshowSummary`1`n`(_$)->Void`dDomain``887060
oshowTheSymbolTable`0`n`()->_$`dTheSymbolTable``887149
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``887218
oshrinkable`1`n`(Boolean)->Boolean`dFlexibleArray(S)``0
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``887465
oshuffle`2`n`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``887585
oshufflein`2`n`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``887794
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``887942
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``887988
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``888034
osign`1`n`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``888082
osign`1`n`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``888163
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``888243
osign`1`n`(S)->Integer`xOrderedAbelianGroup&(S)``0
osign`1`n`(_$)->Integer`cOrderedAbelianGroup``888279
osign`1`n`(_$)->Integer`dPermutation(S)``888401
osign`2`n`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``888497
osign`3`n`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``888589
osign`3`n`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``888715
osign`4`n`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``888846
osign`4`n`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``889002
osignatureAst`2`n`(Identifier,Signature)->_$`dSignatureAst``889222
osignature`1`n`(_$)->Signature`dDefinitionAst``889305
osignature`1`n`(_$)->Signature`dFunctionDescriptor``889494
osignature`1`n`(_$)->Signature`dOperatorSignature``889578
osignature`1`n`(_$)->Signature`dSignatureAst``889635
osignature`2`n`(List(Syntax),Syntax)->_$`dSignature``889709
osimplifyExp`1`n`(F)->F`pTranscendentalManipulations(R,F)``889843
osimplifyLog`1`n`(F)->F`pTranscendentalManipulations(R,F)``889960
osimplifyPower`2`n`(_$,Integer)->_$`dExpression(R)`has(R,IntegralDomain)`890171
osimplify`1`n`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``890230
osimplify`1`n`(F)->F`pTranscendentalManipulations(R,F)``890294
osimplify`1`n`(PropositionalFormula(T))->PropositionalFormula(T)`pPropositionalFormulaFunctions1(T)``890771
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`890892
osimpson`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``891196
osimpsono`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``891874
osin2csc`1`n`(F)->F`pTranscendentalManipulations(R,F)``892556
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``892654
osinIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``892739
osin`1`n`(E)->_$`dFourierComponent(E)``892826
osin`1`n`(F)->F`pElementaryFunction(R,F)``892892
osin`1`n`(S)->S`xComplexCategory&(S,R)``0
osin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``892951
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``893016
osin`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``893081
osin`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``893147
osin`1`n`(_$)->_$`cTrigonometricFunctionCategory``893215
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``893266
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``893368
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``893811
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``894360
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``894541
osingular?`1`n`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``894787
osingular?`1`n`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``894854
osingularAtInfinity?`0`n`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``894924
osinh2csch`1`n`(F)->F`pTranscendentalManipulations(R,F)``895005
osinhIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``895107
osinh`1`n`(F)->F`pElementaryFunction(R,F)``895196
osinh`1`n`(S)->S`xComplexCategory&(S,R)``0
osinh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``895267
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``895348
osinh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``895429
osinh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``895507
osinh`1`n`(_$)->_$`cHyperbolicFunctionCategory``895587
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``895650
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``895765
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`n`(_$,_$)->Boolean`cEuclideanDomain``895839
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``895991
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``896171
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``896351
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``896531
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``896634
osize`0`n`()->Integer`pRandomNumberSource``896730
osize`0`n`()->NonNegativeInteger`cFinite``896794
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`1`n`(_$)->NonNegativeInteger`cFreeAbelianMonoidCategory(S,E)``896858
osize`1`n`(_$)->NonNegativeInteger`cFreeMonoidCategory(S)``897013
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``897080
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``897147
osize`1`n`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``897219
oskewSFunction`2`n`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``897261
oslash`2`n`(_$,_$)->_$`dOutputForm``897449
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``897544
osmith`1`n`(M)->M`pSmithNormalForm(R,Row,Col,M)``897738
osn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``897815
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``897904
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``897950
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``897988
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``898027
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``898296
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``898446
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)``898591
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``899002
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``899238
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursionUnivariate(R,S)``899642
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``900046
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``900291
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``900579
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`n`(List(SparseUnivariatePolynomial(_$)),SparseUnivariatePolynomial(_$))->Union(List(SparseUnivariatePolynomial(_$)),"failed")`cPolynomialFactorizationExplicit``900824
osolveLinear`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`901069
osolveLinear`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`901255
osolveLinearlyOverQ`2`n`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``901419
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``901595
osolve`1`n`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``901848
osolve`1`n`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``902058
osolve`1`n`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``902188
osolve`1`n`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``902387
osolve`1`n`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``902524
osolve`1`n`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``902677
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``902817
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``902997
osolve`2`n`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``903034
osolve`2`n`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``903216
osolve`2`n`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``903425
osolve`2`n`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``903536
osolve`2`n`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``903714
osolve`2`n`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``903933
osolve`2`n`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``904069
osolve`2`n`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``904208
osolve`2`n`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``904410
osolve`2`n`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``904561
osolve`2`n`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``904780
osolve`2`n`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``904918
osolve`2`n`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``905124
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``905269
osolve`2`n`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``905444
osolve`2`n`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``905589
osolve`2`n`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``905795
osolve`2`n`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``906001
osolve`2`n`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``906118
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``906263
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``906384
osolve`3`n`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``906504
osolve`3`n`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``907288
osolve`3`n`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``908025
osolve`3`n`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``908588
osolve`3`n`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``908988
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)``909388
osolve`3`n`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``909800
osolve`4`n`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``910114
osolve`4`n`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``910387
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``910660
osolve`5`n`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``910895
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``911122
osomeBasis`0`n`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``911302
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`n`(_$)->_$`cFiniteLinearAggregate(S)`AND(has(_$,ATTRIBUTE(shallowlyMutable)),has(S,OrderedSet))`911364
osort!`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xListAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`911442
osort`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort`1`n`(List(_$))->List(_$)`dPermutation(S)``911523
osort`1`n`(_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`911807
osort`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort`2`n`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)``911935
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort`2`n`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``912035
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`n`(_$)->Boolean`cFiniteLinearAggregate(S)`has(S,OrderedSet)`912262
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xFiniteLinearAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xListAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,_$)->Boolean`cFiniteLinearAggregate(S)``912345
osource`1`n`(_$)->List(Syntax)`dSignature``912434
osource`1`n`(_$)->List(TypeAst)`dMappingAst``912502
ospace`0`n`()->_$`dCharacter``912570
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``912620
ospace`1`n`(ThreeSpace(DoubleFloat))->_$`dDrawOption``912813
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``912924
ospherical`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``912988
osplit!`2`n`(A,Integer)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`n`(_$,Integer)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`913250
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``913515
osplitDenominator`1`n`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``913638
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``913799
osplitDenominator`1`n`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``913960
osplitDenominator`1`n`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``914108
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``914260
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``914462
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``914759
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``915073
osplit`1`n`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``915405
osplit`1`n`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``915581
osplit`1`n`(UP)->Factored(UP)`pAlgFactor(UP)``915757
osplit`2`n`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`915848
osplit`2`n`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`916659
osplit`2`n`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``916818
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``916976
osplit`2`n`(_$,Character)->List(_$)`cStringAggregate``917238
osplit`2`n`(_$,CharacterClass)->List(_$)`cStringAggregate``917325
osqfrFactor`2`n`(R,Integer)->_$`dFactored(R)``917418
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``917570
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Fraction(Integer))->_$`cRealClosedField``917649
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->_$`cRealClosedField``917708
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`n`(_$)->_$`cRadicalCategory``917767
osqrt`1`n`(_$)->_$`cRealClosedField``917826
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`n`(_$,Integer)->_$`cPAdicIntegerCategory(p)``917885
osqrt`2`n`(_$,PositiveInteger)->_$`cRealClosedField``918007
osquare?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osquare?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osquare?`1`n`(_$)->Boolean`cMatrixCategory(R,Row,Col)``918077
osquare?`1`n`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``918252
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`918427
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``918544
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``918965
osquareFreePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFreePart`1`n`(S)->S`xUniqueFactorizationDomain&(S)``0
osquareFreePart`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePart`1`n`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`919136
osquareFreePart`1`n`(_$)->_$`cUniqueFactorizationDomain``919272
osquareFreePart`2`n`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``919385
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``919905
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`920020
osquareFreePrim`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``920074
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``920193
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``920279
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``920385
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``920563
osquareFree`1`n`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``920753
osquareFree`1`n`(S)->Factored(S)`xField&(S)``0
osquareFree`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
osquareFree`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFree`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
osquareFree`1`n`(SparseUnivariatePolynomial(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``921096
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``921349
osquareFree`1`n`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`921523
osquareFree`1`n`(_$)->Factored(_$)`cUniqueFactorizationDomain``921617
osquareMatrix`1`n`(Matrix(R))->_$`dSquareMatrix(ndim,R)``921802
osquareTop`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
osquareTop`1`n`(_$)->_$`cMatrixCategory(R,Row,Col)``921921
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``922094
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``922228
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``922362
ostack`1`n`(List(S))->_$`dStack(S)``922495
ostandardBasisOfCyclicSubmodule`2`n`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`922640
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``923314
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``923754
ostartTable!`3`n`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``923888
ostartTable!`3`n`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``924014
ostartTableGcd!`3`n`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``924140
ostartTableGcd!`3`n`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostartTableInvSet!`3`n`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``924266
ostartTableInvSet!`3`n`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``924395
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``924468
ostep`1`n`(_$)->SpadAst`dStepAst``924610
ostirling1`2`n`(I,I)->I`pIntegerCombinatoricFunctions(I)``924739
ostirling2`2`n`(I,I)->I`pIntegerCombinatoricFunctions(I)``924837
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``924937
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``925211
ostopTable!`0`n`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``925506
ostopTable!`0`n`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``925598
ostopTableGcd!`0`n`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``925690
ostopTableGcd!`0`n`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`n`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``925782
ostopTableInvSet!`0`n`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseIntegralLastSubResultant`3`n`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`n`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`n`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`n`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?reg`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?sqfreg`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`n`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetreg`2`n`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetsqfreg`2`n`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`n`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`n`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`n`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostring?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``925877
ostring`1`n`(DoubleFloat)->_$`dString``925959
ostring`1`n`(Identifier)->_$`dString``926041
ostring`1`n`(Integer)->_$`dString``926122
ostring`1`n`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``926204
ostring`1`n`(_$)->String`dSymbol``926327
ostring`1`n`(_$)->_$`dOutputForm``926430
ostrongGenerators`1`n`(_$)->List(Permutation(S))`dPermutationGroup(S)``926491
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``926576
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`n`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``926862
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`n`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``927024
ostructuralConstants`0`n`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``927163
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``927411
ostructuralConstants`1`n`(List(Matrix(R)))->Vector(Matrix(R))`pStructuralConstantsPackage(R)``927659
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`n`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``927950
ostructuralConstants`2`n`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``928207
ostructuralConstants`2`n`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``928647
osts2stst`2`n`(Symbol,Stream(Polynomial(R)))->Stream(Stream(Polynomial(R)))`pWeierstrassPreparation(R)``929087
osturmSequence`1`n`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``929135
osturmVariationsOf`1`n`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`929209
ostyle`1`n`(String)->_$`dDrawOption``929362
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``929538
osubCase?`2`n`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``929740
osubCase?`2`n`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``929854
osubHeight`1`n`(_$)->Integer`dOutputForm``929968
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
osubMatrix`5`n`(_$,Integer,Integer,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``930052
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``930249
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``930443
osubPolSet?`2`n`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``930672
osubPolSet?`2`n`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``930802
osubQuasiComponent?`2`n`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``930932
osubQuasiComponent?`2`n`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``931075
osubQuasiComponent?`2`n`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``931218
osubQuasiComponent?`2`n`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``931369
osubResultantChain`2`n`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`931529
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``931741
osubResultantGcd`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`931999
osubResultantGcd`2`n`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`932372
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``932503
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`932640
osubSet`3`n`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``932799
osubTriSet?`2`n`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``933122
osubTriSet?`2`n`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``933220
osub`2`n`(_$,_$)->_$`dOutputForm``933318
osubmod`3`n`(_$,_$,_$)->_$`cIntegerNumberSystem``933394
osubresultantSequence`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``933470
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``933585
osubscript`2`n`(_$,List(OutputForm))->_$`dSymbol``933771
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`n`(_$,_$)->Boolean`cSetAggregate(S)``933863
osubspace`0`n`()->_$`dSubSpace(n,R)``934061
osubspace`1`n`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``934100
osubspace`1`n`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``934238
osubspace`2`n`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``934422
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`n`(_$,Equation(_$))->_$`cExpressionSpace``934632
osubst`2`n`(_$,List(Equation(_$)))->_$`cExpressionSpace``934725
osubst`2`n`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`934859
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``0
osubst`3`n`(_$,List(Kernel(_$)),List(_$))->_$`cExpressionSpace``934982
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``935118
osubstring?`3`n`(_$,_$,Integer)->Boolean`cStringAggregate``935209
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`n`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``935397
osuchThat`2`n`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``935521
osuchThat`2`n`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``935627
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``935783
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``935903
osuchThat`2`n`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``936049
osuchThat`2`n`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``936120
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``936240
osuchThat`3`n`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``936366
osuffix?`2`n`(_$,_$)->Boolean`cStringAggregate``936497
osumOfDivisors`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``936837
osumOfKthPowerDivisors`2`n`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``937031
osumSquares`1`n`(Integer)->List(Integer)`pGaussianFactorizationPackage``937287
osum`1`n`(_$)->_$`dOutputForm``937523
osum`2`n`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``937606
osum`2`n`(F,Symbol)->F`pFunctionSpaceSum(R,F)``937711
osum`2`n`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``937811
osum`2`n`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``937886
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``938066
osum`2`n`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``938246
osum`2`n`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``938321
osum`2`n`(_$,_$)->_$`dOutputForm``938501
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``938620
osum`3`n`(_$,_$,_$)->_$`dOutputForm``938697
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``938854
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``938958
osummation`2`n`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``939112
osummation`2`n`(_$,Symbol)->_$`cCombinatorialOpsCategory``939216
osupDimElseRittWu?`2`n`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``939370
osupDimElseRittWu?`2`n`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``939586
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``939802
osup`1`n`(_$)->R`cIntervalCategory(R)``940002
osup`2`n`(_$,_$)->_$`cOrderedAbelianMonoidSup``940065
osuperHeight`1`n`(_$)->Integer`dOutputForm``940171
osuper`2`n`(_$,_$)->_$`dOutputForm``940257
osuperscript`2`n`(_$,List(OutputForm))->_$`dSymbol``940337
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``940433
osupport`1`n`(_$)->Set(S)`cPermutationCategory(S)``940556
osupport`1`n`(_$)->Set(S)`dPermutationGroup(S)``940645
osurface`3`n`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``940719
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`n`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,ATTRIBUTE(shallowlyMutable))`940848
oswapColumns!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapColumns!`3`n`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``940975
oswapRows!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapRows!`3`n`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``941111
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``941241
oswap`1`n`(_$)->_$`dEquation(S)``941307
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``941391
osylvesterSequence`2`n`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``941502
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``941649
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``941829
osymbol?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``941952
osymbol?`1`n`(_$)->Boolean`dPattern(R)``942034
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`dKernel(S)``942090
osymbolTableOf`2`n`(Symbol,_$)->SymbolTable`dTheSymbolTable``942206
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``942278
osymbol`1`n`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``942361
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`n`(_$)->Boolean`cMatrixCategory(R,Row,Col)``942484
osymmetric?`1`n`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``942680
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`n`(_$,_$)->_$`cSetAggregate(S)``942876
osymmetricGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``943308
osymmetricGroup`1`n`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``943543
osymmetricPower`2`n`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`943738
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``943923
osymmetricProduct`2`n`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`944145
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``944350
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`n`(_$,_$)->_$`cIntegerNumberSystem``944592
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`n`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`944699
osymmetricTensors`2`n`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``944801
osymmetricTensors`2`n`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``945365
osystemCommand`1`n`(String)->Void`pMoreSystemCommands``945896
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``946114
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``946204
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``946293
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``946452
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``946485
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``946557
otableForDiscreteLogarithm`1`n`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``946763
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``947069
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`n`()->_$`cTableAggregate(Key,Entry)``947376
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`n`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``947449
otableau`1`n`(List(List(S)))->_$`dTableau(S)``947566
otail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
otail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
otail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
otail`1`n`(_$)->_$`cDoublyLinkedAggregate(S)``947641
otail`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``947769
otail`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)``947905
otan2cot`1`n`(F)->F`pTranscendentalManipulations(R,F)``948085
otan2trig`1`n`(F)->F`pTranscendentalManipulations(R,F)``948183
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``948287
otanIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``948393
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``948480
otanQ`2`n`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``948588
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``948667
otan`1`n`(F)->F`pElementaryFunction(R,F)``948809
otan`1`n`(S)->S`xComplexCategory&(S,R)``0
otan`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
otan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``948871
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``948939
otan`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``949007
otan`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``949076
otan`1`n`(_$)->_$`cTrigonometricFunctionCategory``949147
otanh2coth`1`n`(F)->F`pTranscendentalManipulations(R,F)``949201
otanh2trigh`1`n`(F)->F`pTranscendentalManipulations(R,F)``949303
otanhIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``949412
otanh`1`n`(F)->F`pElementaryFunction(R,F)``949501
otanh`1`n`(S)->S`xComplexCategory&(S,R)``0
otanh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
otanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``949575
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``949659
otanh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``949743
otanh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``949824
otanh`1`n`(_$)->_$`cHyperbolicFunctionCategory``949907
otanintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F,F)->Union(List(F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``949973
otarget`1`n`(_$)->Syntax`dSignature``950186
otarget`1`n`(_$)->TypeAst`dCoerceAst``950256
otarget`1`n`(_$)->TypeAst`dMappingAst``950324
otarget`1`n`(_$)->TypeAst`dPretendAst``950385
otarget`1`n`(_$)->TypeAst`dRestrictAst``950453
otaylorIfCan`1`n`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``950521
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``950677
otaylorRep`1`n`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``950774
otaylor`1`n`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``950891
otaylor`1`n`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``951072
otaylor`1`n`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``951140
otaylor`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``951281
otaylor`2`n`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``951363
otaylor`2`n`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``951473
otaylor`3`n`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``951713
otaylor`3`n`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``951882
otaylor`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``952046
otaylor`4`n`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``952124
otensorProduct`1`n`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``952287
otensorProduct`1`n`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``952632
otensorProduct`2`n`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``952731
otensorProduct`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``953085
oterms`1`n`(_$)->List(Pair(S,A))`cIndexedDirectProductCategory(A,S)``953367
oterms`1`n`(_$)->List(Record(coef:R,monom:M))`dMonoidRing(R,M)``953535
oterms`1`n`(_$)->List(Record(gen:S,exp:E))`cFreeAbelianMonoidCategory(S,E)``953695
oterms`1`n`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``953776
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``953958
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``954072
otex`1`n`(_$)->List(String)`dTexFormat``954273
othenBranch`1`n`(_$)->SpadAst`dIfAst``954343
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``954405
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`n`(_$)->S`cUnaryRecursiveAggregate(S)``954681
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``954804
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``955001
otitle`1`n`(String)->_$`dDrawOption``955116
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``955258
otitle`2`n`(_$,String)->Void`dThreeDimensionalViewport``955460
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``955618
otoScale`1`n`(Boolean)->_$`dDrawOption``955772
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``956002
otop!`1`n`(_$)->S`cDequeueAggregate(S)``956208
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``956285
otop`1`n`(_$)->S`cStackAggregate(S)``956473
otoroidal`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``956651
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``956956
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``956996
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``957036
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``957081
otoseInvertible?`2`n`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``957125
otoseInvertible?`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``957272
otoseInvertibleSet`2`n`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``957419
otoseLastSubResultant`3`n`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``957570
otoseSquareFreePart`2`n`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``957727
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`n`(_$)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``957867
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`2`n`(_$,List(VarSet))->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``957971
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``958105
ototalGroebner`2`n`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``958209
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``958470
ototalfract`1`n`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``958650
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``958881
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`n`(_$)->List(Kernel(_$))`cExpressionSpace``958917
otrace2PowMod`3`n`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``959022
otraceMatrix`0`n`()->Matrix(R)`cFramedAlgebra(R,UP)``959178
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``959333
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`n`(Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``959488
otracePowMod`3`n`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``959584
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`n`(_$)->F`cFiniteAlgebraicExtensionField(F)``959696
otrace`1`n`(_$)->R`cFiniteRankAlgebra(R,UP)``959840
otrace`1`n`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``959950
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``960087
otrace`2`n`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`960184
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``960473
otranscendenceDegree`0`n`()->NonNegativeInteger`cExtensionField(F)``960521
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`n`(_$)->Boolean`cExtensionField(F)``960649
otranscendentalDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`n`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`n`(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)``960773
otranslate`3`n`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``960811
otranslate`3`n`(_$,Float,Float)->Void`dThreeDimensionalViewport``960917
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``961137
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(Row)->_$`cMatrixCategory(R,Row,Col)``961601
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(_$)->_$`cMatrixCategory(R,Row,Col)``961671
otranspose`1`n`(_$)->_$`dCartesianTensor(minix,dim,R)``961744
otranspose`1`n`(_$)->_$`dSquareMatrix(ndim,R)``961985
otranspose`3`n`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``962058
otrapezoidal`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``962334
otrapezoidalo`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``963030
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``963720
otree`1`n`(List(S))->_$`dTree(S)``964057
otree`1`n`(S)->_$`dTree(S)``964132
otree`2`n`(S,List(_$))->_$`dTree(S)``964210
otriangSolve`1`n`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``964299
otriangSolve`2`n`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``964384
otriangSolve`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``964469
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`n`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`965542
otriangularSystems`2`n`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``965739
otriangulate`2`n`(Matrix(F),Vector(F))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),g:Vector(F),eq:LO,rh:F)))`pSystemODESolver(F,LO)``966092
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``966436
otrigs2explogs`3`n`(FG,List(Kernel(FG)),List(Symbol))->FG`pInnerTrigonometricManipulations(R,F,FG)``966602
otrigs`1`n`(F)->F`pComplexTrigonometricManipulations(R,F)``966953
otrigs`1`n`(F)->F`pTrigonometricManipulations(R,F)``967082
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`n`(_$,Character)->_$`cStringAggregate``967211
otrim`2`n`(_$,CharacterClass)->_$`cStringAggregate``967387
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`n`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``967574
otrueEqual`2`n`(_$,_$)->Boolean`dInnerAlgebraicNumber``967678
otrue`0`n`()->_$`cPropositionalLogic``967755
otrunc`2`n`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``967797
otrunc`2`n`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``967916
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`n`(_$)->_$`cRealNumberSystem``968002
otruncate`2`n`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``968091
otruncate`3`n`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``968221
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``968378
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``968524
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``968718
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``968978
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``969228
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``969580
otubePointsDefault`0`n`()->PositiveInteger`pViewDefaultsPackage``969929
otubePointsDefault`1`n`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``970067
otubePoints`1`n`(PositiveInteger)->_$`dDrawOption``970211
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``970428
otubeRadiusDefault`0`n`()->DoubleFloat`pViewDefaultsPackage``970640
otubeRadiusDefault`1`n`(Float)->DoubleFloat`pViewDefaultsPackage``970718
otubeRadius`1`n`(Float)->_$`dDrawOption``970809
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``970955
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``971167
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``971254
otwist`1`n`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``971564
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``971660
otypeForm`1`n`(_$)->InternalTypeForm`dElaboration``971977
otypeList`2`n`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``972054
otypeLists`1`n`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``972149
otype`1`n`(_$)->Syntax`dElaboratedExpression``972236
ounary?`1`n`(_$)->Boolean`dBasicOperator``972325
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``972379
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``972430
ounderscore`0`n`()->_$`dCharacter``972644
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``972704
ouniform01`0`n`()->Float`pRandomFloatDistributions``972766
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``972806
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``972845
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``972884
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)``972925
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(S,_$)->_$`cSetAggregate(S)``973009
ounion`2`n`(_$,S)->_$`cSetAggregate(S)``973206
ounion`2`n`(_$,_$)->_$`cSetAggregate(S)``973403
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``973530
ounit?`1`n`(S)->Boolean`xIntegralDomain&(S)``0
ounit?`1`n`(_$)->Boolean`cIntegralDomain``973598
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`n`(S)->S`xIntegralDomain&(S)``0
ounitCanonical`1`n`(_$)->_$`cIntegralDomain``973690
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xComplexCategory&(S,R)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xField&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xIntegralDomain&(S)``0
ounitNormal`1`n`(_$)->Record(unit:_$,canonical:_$,associate:_$)`cIntegralDomain``973761
ounitNormalize`1`n`(_$)->_$`dFactored(R)``974069
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``974270
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``974312
ounitVector`1`n`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`has(R,Ring)`974457
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`n`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`974551
ounit`1`n`(List(Float))->_$`dDrawOption``974663
ounit`1`n`(_$)->R`dFactored(R)``974814
ounitsColorDefault`0`n`()->Palette`pViewDefaultsPackage``974881
ounitsColorDefault`1`n`(Palette)->Palette`pViewDefaultsPackage``974977
ounits`1`n`(_$)->List(Float)`dGraphImage``975095
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``975266
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``975467
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``975744
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``975992
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``976253
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``976367
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``976523
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`976679
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`976863
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``977122
ounivariateSolve`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``977288
ounivariateSolve`1`n`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``977388
ounivariateSolve`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``977554
ounivariateSolve`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``977660
ounivariateSolve`4`n`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``977774
ounivariate`1`n`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``978570
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``978837
ounivariate`2`n`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``978939
ounivariate`2`n`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``979041
ounivariate`2`n`(S,Kernel(S))->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace&(S,R)``0
ounivariate`2`n`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`979207
ounivariate`2`n`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``979300
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``979504
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``979646
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``979694
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`n`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`979733
ounknownEndian`0`n`()->_$`dByteOrder``979829
ounknown`0`n`()->_$`dKleeneTrivalentLogic``979880
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``979912
ounparse`1`n`(_$)->String`dInputForm``980071
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``980236
ounrankImproperPartitions0`3`n`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``980680
ounrankImproperPartitions1`3`n`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``981149
ounravel`1`n`(List(R))->_$`dCartesianTensor(minix,dim,R)``981694
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``981817
ounvectorise`1`n`(Vector(R))->UP`pGaloisGroupPolynomialUtilities(R,UP)``981944
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``982072
oupDateBranches`5`n`(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`n`(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)``982303
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``982338
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``982373
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``982500
oupperBound`1`n`(_$)->Maybe(SpadAst)`dStepAst``982678
oupperCase!`1`n`(_$)->_$`cStringAggregate``982852
oupperCase?`1`n`(_$)->Boolean`dCharacter``982967
oupperCase`0`n`()->_$`dCharacterClass``983078
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`n`(_$)->_$`cStringAggregate``983202
oupperCase`1`n`(_$)->_$`dCharacter``983283
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``983452
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``983574
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``983764
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``983936
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``984156
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``984291
ovalidExponential`3`n`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``984367
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->Integer`dOrdSetInts``984520
ovalue`1`n`(_$)->SExpression`dProperty``984588
ovalue`1`n`(_$)->S`cRecursiveAggregate(S)``984646
ovalue`1`n`(_$)->String`dQueryEquation``984709
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``984807
ovar1StepsDefault`0`n`()->PositiveInteger`pViewDefaultsPackage``984878
ovar1StepsDefault`1`n`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``985146
ovar1Steps`1`n`(PositiveInteger)->_$`dDrawOption``985405
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``985573
ovar2StepsDefault`0`n`()->PositiveInteger`pViewDefaultsPackage``985783
ovar2StepsDefault`1`n`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``986051
ovar2Steps`1`n`(PositiveInteger)->_$`dDrawOption``986310
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``986479
ovarList`1`n`(_$)->List(S)`dOrderedFreeMonoid(S)``986689
ovarList`1`n`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``986757
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``986848
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``986932
ovarList`1`n`(_$)->List(VarSet)`dMagma(VarSet)``987023
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``987114
ovarList`1`n`(_$)->List(vl)`cXFreeAlgebra(vl,R)``987218
ovariable?`1`n`(_$)->Boolean`dElaboratedExpression``987299
ovariable`0`n`()->Symbol`dVariable(sym)``987368
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``987412
ovariable`1`n`(_$)->S`cDifferentialVariableCategory(S)``987485
ovariable`1`n`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``987602
ovariable`1`n`(_$)->Symbol`dQueryEquation``987701
ovariable`1`n`(_$)->Symbol`dRangeBinding(S,T)``987804
ovariable`1`n`(_$)->Symbol`dSegmentBinding(S)``0
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``987993
ovariables`1`n`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``988109
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
ovariables`1`n`(S)->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ovariables`1`n`(SparseUnivariatePolynomial(P))->List(OV)`pFactoringUtilities(E,OV,R,P)``988225
ovariables`1`n`(_$)->List(Symbol)`cFunctionSpace(R)``988324
ovariables`1`n`(_$)->List(Var)`cPowerSeriesCategory(Coef,Expon,Var)``988402
ovariables`1`n`(_$)->List(VarSet)`cPolynomialCategory(R,E,VarSet)``988500
ovariables`1`n`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``988610
ovariables`1`n`(_$)->List(_$)`dPattern(R)``988747
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``988836
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``989178
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``989293
ovconcat`1`n`(List(_$))->_$`dOutputForm``989379
ovconcat`2`n`(_$,_$)->_$`dOutputForm``989456
ovector`1`n`(List(R))->_$`dVector(R)``989536
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`n`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``989600
overtConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
overtConcat`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``989802
overticalTab`0`n`()->_$`dCharacter``990030
oviewDefaults`0`n`()->Void`pViewDefaultsPackage``990081
oviewDeltaXDefault`0`n`()->Float`dThreeDimensionalViewport``990152
oviewDeltaXDefault`1`n`(Float)->Float`dThreeDimensionalViewport``990272
oviewDeltaYDefault`0`n`()->Float`dThreeDimensionalViewport``990429
oviewDeltaYDefault`1`n`(Float)->Float`dThreeDimensionalViewport``990547
oviewPhiDefault`0`n`()->Float`dThreeDimensionalViewport``990702
oviewPhiDefault`1`n`(Float)->Float`dThreeDimensionalViewport``990796
oviewPosDefault`0`n`()->List(NonNegativeInteger)`pViewDefaultsPackage``990931
oviewPosDefault`1`n`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``991139
oviewSizeDefault`0`n`()->List(PositiveInteger)`pViewDefaultsPackage``991369
oviewSizeDefault`1`n`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``991448
oviewThetaDefault`0`n`()->Float`dThreeDimensionalViewport``991553
oviewThetaDefault`1`n`(Float)->Float`dThreeDimensionalViewport``991650
oviewWriteAvailable`0`n`()->List(String)`pViewDefaultsPackage``991788
oviewWriteDefault`0`n`()->List(String)`pViewDefaultsPackage``991911
oviewWriteDefault`1`n`(List(String))->List(String)`pViewDefaultsPackage``992043
oviewZoomDefault`0`n`()->Float`dThreeDimensionalViewport``992209
oviewZoomDefault`1`n`(Float)->Float`dThreeDimensionalViewport``992290
oviewpoint`1`n`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``992402
oviewpoint`1`n`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``992668
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``993037
oviewpoint`2`n`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``993259
oviewpoint`3`n`(_$,Float,Float)->Void`dThreeDimensionalViewport``993516
oviewpoint`4`n`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``993866
oviewpoint`6`n`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``994263
oviewpoint`6`n`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``994758
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``995253
oviewport3D`0`n`()->_$`dThreeDimensionalViewport``995400
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``995551
ovoidMode`0`n`()->_$`dInternalTypeForm``995593
ovoid`0`n`()->_$`dVoid``995650
ovspace`1`n`(Integer)->_$`dOutputForm``995695
oweakBiRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``995759
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``995928
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`n`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``996202
oweight`1`n`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``996334
oweight`1`n`(_$)->NonNegativeInteger`dBasicOperator``996405
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`n`(_$,NonNegativeInteger)->_$`dBasicOperator``996472
oweight`2`n`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``996543
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``996780
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`n`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``996820
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`n`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``996944
owhatInfinity`1`n`(_$)->SingleInteger`dOrderedCompletion(R)``997177
owhitePoint`0`n`()->_$`cRGBColorSpace(T)``997312
owholePart`1`n`(_$)->Integer`cRealNumberSystem``997393
owholePart`1`n`(_$)->R`dContinuedFraction(R)``997457
owholePart`1`n`(_$)->R`dPartialFraction(R)``997644
owholePart`1`n`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`997729
owholeRadix`1`n`(List(Integer))->_$`dRadixExpansion(bb)``997882
owholeRagits`1`n`(_$)->List(Integer)`dRadixExpansion(bb)``998035
owidth`0`n`()->Integer`dOutputForm``998126
owidth`1`n`(_$)->Integer`dOutputForm``998200
owidth`1`n`(_$)->R`cIntervalCategory(R)``998272
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``998342
owordInGenerators`2`n`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``998498
owordInStrongGenerators`2`n`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``998702
owordsForStrongGenerators`1`n`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``998916
owreath`2`n`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``999138
owritable?`1`n`(_$)->Boolean`cFileNameCategory``999302
owrite!`2`n`(_$,S)->S`cFileCategory(Name,S)``999415
owriteByte!`2`n`(_$,Byte)->Maybe(Byte)`cOutputByteConduit``999591
owriteBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xOutputByteConduit&(S)``0
owriteBytes!`2`n`(_$,ByteBuffer)->NonNegativeInteger`cOutputByteConduit``999751
owriteInt8!`2`n`(S,Int8)->Maybe(Int8)`xOutputByteConduit&(S)``0
owriteInt8!`2`n`(_$,Int8)->Maybe(Int8)`cOutputByteConduit``999880
owriteLine!`1`n`(_$)->String`dTextFile``1000048
owriteLine!`2`n`(_$,String)->String`dTextFile``1000225
owriteUInt8!`2`n`(S,UInt8)->Maybe(UInt8)`xOutputByteConduit&(S)``0
owriteUInt8!`2`n`(_$,UInt8)->Maybe(UInt8)`cOutputByteConduit``1000385
owrite`2`n`(_$,String)->String`dThreeDimensionalViewport``1000563
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``1000802
owrite`3`n`(_$,String,List(String))->String`dThreeDimensionalViewport``1001038
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``1001340
owrite`3`n`(_$,String,String)->String`dThreeDimensionalViewport``1001639
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``1001915
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1002188
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1002322
owrregime`2`n`(List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1002462
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1002582
oxRange`1`n`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1002836
oxRange`1`n`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1002943
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1003050
oxor`2`n`(_$,_$)->_$`cBitAggregate``1003108
oxor`2`n`(_$,_$)->_$`dBoolean``1003220
oxor`2`n`(_$,_$)->_$`dSingleInteger``1003316
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1003426
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`n`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1003681
oyRange`1`n`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1003799
oyRange`1`n`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1003906
oyellow`0`n`()->_$`dColor``1004013
oyoungDiagram`1`n`(List(PositiveInteger))->_$`dYoungDiagram``1004092
oyoungGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1004218
oyoungGroup`1`n`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1004339
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1004476
ozRange`1`n`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1004747
ozag`2`n`(_$,_$)->_$`dOutputForm``1004854
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`n`(_$)->Boolean`cAbelianMonoid``1004952
ozero?`1`n`(_$)->Boolean`dArity``1005008
ozero?`1`n`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1005082
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`n`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1005156
ozeroDim?`1`n`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1005255
ozeroDim?`2`n`(_$,List(VarSet))->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1005472
ozeroDimPrimary?`1`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1005640
ozeroDimPrime?`1`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1005727
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1005812
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1005984
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1006163
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1006394
ozeroOf`1`n`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1006569
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1006800
ozeroOf`2`n`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1007006
ozeroSetSplitIntoTriangularSystems`1`n`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1007221
ozeroSetSplit`1`n`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``1007557
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1007757
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1008109
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1008483
ozeroSetSplit`2`n`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``1008624
ozeroSetSplit`3`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``1009138
ozeroSetSplit`3`n`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1009647
ozeroSetSplit`3`n`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1009973
ozeroSetSplit`5`n`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1010343
ozeroSetSplit`5`n`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1010482
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`n`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`1010621
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``1010685
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1010754
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1011093
ozerosOf`1`n`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1011376
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1011656
ozerosOf`2`n`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1011970
ozoom`2`n`(_$,Float)->Void`dThreeDimensionalViewport``1012284
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1012442
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``1012480
ozoom`4`n`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1012520
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``1012808
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->Boolean`cBasicType``1012850
o~=`2`n`(_$,_$)->_$`dOutputForm``1012915
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`n`(_$)->_$`cLogic``1012971
pAlgFactor`1`n`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1013034
pAlgebraPackage`2`n`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1013130
pAlgebraicFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`AF`1013214
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1013288
pAlgebraicIntegrate`5`n`(R0:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG`1013323
pAlgebraicIntegration`2`n`(R:IntegralDomain,F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1013412
pAlgebraicManipulations`2`n`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1013526
pAlgebraicMultFact`3`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1013641
pAnyFunctions1`1`n`(Type)->etc`(S)`ANY1`1013852
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1014062
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1014149
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1014277
pAttachPredicates`1`n`(Type)->etc`(D)`PMPRED`1014401
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1014519
pBasicOperatorFunctions1`1`n`(SetCategory)->etc`(A)`BOP1`1014588
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`1014725
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1014841
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1014955
pCRApackage`1`n`(EuclideanDomain)->etc`(R)`CRAPACK`1015560
pCartesianTensorFunctions2`4`n`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1015596
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1015703
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1015767
pCharacteristicPolynomialPackage`1`n`(CommutativeRing)->etc`(R)`CHARPOL`1015864
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1015969
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1016415
pCombinatorialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`COMBF`1016504
pCommonDenominator`3`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1016569
pCommonOperators`0`n`()->etc``COMMONOP`1016733
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1016939
pCompilerPackage`0`n`()->Join(Type,etc)``COMPILER`1017055
pComplexFactorization`2`n`(RR:EuclideanDomain,PR:UnivariatePolynomialCategory(Complex(RR)))->etc`(RR,PR)`COMPFACT`1017103
pComplexFunctions2`2`n`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1017335
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1017432
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1017558
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1017635
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1017707
pComplexRootPackage`2`n`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`0
pComplexTrigonometricManipulations`2`n`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1018477
pConstantLODE`3`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1018611
pCoordinateSystems`1`n`(Join(Field,etc))->etc`(R)`COORDSYS`1018699
pCycleIndicators`0`n`()->etc``CYCLES`1018957
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1018994
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`1019062
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1019098
pDegreeReductionPackage`2`n`(Ring,R2:IntegralDomain)->etc`(R1,R2)`DEGRED`1019239
pDiophantineSolutionPackage`0`n`()->etc``DIOSP`1019275
pDirectProductFunctions2`3`n`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1020008
pDiscreteLogarithmPackage`1`n`(M:Join(Monoid,etc))->etc`(M)`DLP`1020326
pDisplayPackage`0`n`()->etc``DISPLAY`1020446
pDistinctDegreeFactorize`2`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1020551
pDoubleFloatSpecialFunctions`0`n`()->etc``DFSFUN`1020844
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1020945
pDrawComplex`0`n`()->etc``DRAWCX`0
pDrawNumericHack`1`n`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1021048
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1021466
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1021502
pEigenPackage`1`n`(GcdDomain)->etc`(R)`EP`1021538
pElementaryFunctionDefiniteIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1021892
pElementaryFunctionLODESolver`3`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1022022
pElementaryFunctionODESolver`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1022202
pElementaryFunctionSign`2`n`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1022374
pElementaryFunctionStructurePackage`2`n`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1022489
pElementaryFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1022782
pElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`1022844
pElementaryFunctionsUnivariatePuiseuxSeries`4`n`(Coef:Algebra(Fraction(Integer)),ULS:UnivariateLaurentSeriesCategory(Coef),UPXS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),PartialTranscendentalFunctions(ULS))->Join(PartialTranscendentalFunctions(UPXS),etc)`(Coef,ULS,UPXS,EFULS)`EFUPXS`1023265
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1023686
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`1023849
pElementaryRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEF`1024055
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1024263
pEquationFunctions2`2`n`(Type,R:Type)->etc`(S,R)`EQ2`1024340
pErrorFunctions`0`n`()->etc``ERROR`1024416
pEuclideanGroebnerBasisPackage`4`n`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1026397
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1027272
pExpressionFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`EXPR2`1027445
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1027541
pExpressionSpaceFunctions2`2`n`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1027722
pExpressionSpaceODESolver`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1028009
pExpressionToUnivariatePowerSeries`2`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1028059
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1028149
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1028361
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1028666
pFactoredFunctions2`2`n`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1028779
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1029053
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1029110
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`1029272
pFiniteDivisorFunctions2`8`n`(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`1029417
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1029544
pFiniteFieldHomomorphisms`3`n`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1029713
pFiniteFieldPolynomialPackage2`2`n`(F:Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1029947
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1030216
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1030383
pFiniteLinearAggregateFunctions2`4`n`(S:Type,A:FiniteLinearAggregate(S),R:Type,B:FiniteLinearAggregate(R))->etc`(S,A,R,B)`FLAGG2`1030484
pFiniteLinearAggregateSort`2`n`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1030796
pFiniteSetAggregateFunctions2`4`n`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1030885
pFloatingComplexPackage`1`n`(Join(Field,etc))->etc`(Par)`FLOATCP`1031189
pFloatingRealPackage`1`n`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1031548
pFractionFunctions2`2`n`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1031868
pFractionalIdealFunctions2`8`n`(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`1032029
pFramedNonAssociativeAlgebraFunctions2`4`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1032212
pFunctionFieldCategoryFunctions2`8`n`(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`1032479
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1032539
pFunctionSpaceAssertions`2`n`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1032942
pFunctionSpaceAttachPredicates`3`n`(R:SetCategory,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1033060
pFunctionSpaceComplexIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1033178
pFunctionSpaceFunctions2`4`n`(R:Ring,A:FunctionSpace(R),S:Ring,B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1033307
pFunctionSpaceIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1033462
pFunctionSpacePrimitiveElement`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1033581
pFunctionSpaceReduce`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1033689
pFunctionSpaceSum`2`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1033894
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1033941
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`1034032
pFunctionSpaceUnivariatePolynomialFactor`3`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R),UP:UnivariatePolynomialCategory(F))->etc`(R,F,UP)`FSUPFACT`1034457
pFunctionalSpecialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`FSPECF`1034645
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1034709
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1034817
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1034898
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1035104
pGaussianFactorizationPackage`0`n`()->etc``GAUSSFAC`1035178
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1035248
pGenUFactorize`1`n`(EuclideanDomain)->etc`(R)`GENUFACT`1035829
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1036048
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1036186
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1036262
pGenerateUnivariatePowerSeries`2`n`(R:Join(IntegralDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`GENUPS`1036425
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1036574
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`1036946
pGraphicsDefaults`0`n`()->etc``GRDEF`1036983
pGrayCode`0`n`()->etc``GRAY`1037077
pGroebnerFactorizationPackage`4`n`(Dom:Join(EuclideanDomain,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1037218
pGroebnerInternalPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBINTERN`1038273
pGroebnerPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GB`1038427
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1039482
pHallBasis`0`n`()->etc``HB`1039760
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1040320
pIdealDecompositionPackage`2`n`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`IDECOMP`1040468
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1040778
pInfiniteProductCharacteristicZero`2`n`(Coef:Join(IntegralDomain,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1040852
pInfiniteProductFiniteField`4`n`(K:Join(Field,etc),UP:UnivariatePolynomialCategory(K),Coef:MonogenicAlgebra(K,UP),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(K,UP,Coef,UTS)`INPRODFF`1040972
pInfiniteProductPrimeField`2`n`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INPRODPF`1041079
pInfiniteTupleFunctions2`2`n`(Type,B:Type)->Join(Type,etc)`(A,B)`ITFUN2`1041183
pInfiniteTupleFunctions3`3`n`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1041245
pInfinity`0`n`()->etc``INFINITY`1041307
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1041418
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(R),B:FiniteLinearAggregate(Q))->etc`(R,Q,A,B)`ICDEN`1041551
pInnerMatrixLinearAlgebraFunctions`4`n`(R:Field,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1041720
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`1041880
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`0
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1042144
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1042414
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1042554
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1042725
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1043325
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1043390
pInnerTrigonometricManipulations`3`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1043431
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1043608
pIntegerBits`0`n`()->etc``INTBIT`1043651
pIntegerCombinatoricFunctions`1`n`(IntegerNumberSystem)->etc`(I)`COMBINAT`0
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1043717
pIntegerLinearDependence`1`n`(Join(Ring,etc))->etc`(R)`ZLINDEP`1044089
pIntegerNumberTheoryFunctions`0`n`()->etc``INTHEORY`1044142
pIntegerPrimesPackage`1`n`(IntegerNumberSystem)->etc`(I)`PRIMES`1044223
pIntegerRetractions`1`n`(RetractableTo(Integer))->etc`(S)`INTRET`1044423
pIntegerRoots`1`n`(IntegerNumberSystem)->etc`(I)`IROOT`1044538
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1044663
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1044845
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1045011
pIntegrationResultFunctions2`2`n`(Field,F:Field)->etc`(E,F)`IR2`1045128
pIntegrationResultRFToFunction`1`n`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1045294
pIntegrationResultToFunction`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1045601
pIntegrationTools`2`n`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1045803
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1045982
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`1046055
pInverseLaplaceTransform`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1046605
pIrrRepSymNatPackage`0`n`()->etc``IRSN`1046665
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`1047223
pKernelFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`KERNEL2`1047367
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1047431
pLaplaceTransform`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1047583
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`1047643
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:EuclideanDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1048515
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1048653
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1049519
pLinearDependence`2`n`(S:IntegralDomain,R:Join(Ring,etc))->etc`(S,R)`LINDEP`1049750
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1049785
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1049956
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1050090
pLinearSystemMatrixPackage1`1`n`(Field)->etc`(F)`LSMP1`1050346
pLinearSystemMatrixPackage`4`n`(F:Field,Row:Join(FiniteLinearAggregate(F),etc),Col:Join(FiniteLinearAggregate(F),etc),M:MatrixCategory(F,Row,Col))->etc`(F,Row,Col,M)`LSMP`1050631
pLinearSystemPolynomialPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1050706
pLiouvillianFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1050800
pListFunctions2`2`n`(Type,B:Type)->etc`(A,B)`LIST2`1050876
pListFunctions3`3`n`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1051024
pListToMap`2`n`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1051174
pMPolyCatFunctions2`7`n`(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`1051591
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`1051717
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1051751
pMPolyCatRationalFunctionFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1052136
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1052527
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1052763
pMakeFloatCompiledFunction`1`n`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1052824
pMakeFunction`1`n`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1053052
pMakeRecord`2`n`(Type,T:Type)->etc`(S,T)`MKRECORD`1053116
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1053252
pMappingPackage1`1`n`(SetCategory)->etc`(A)`MAPPKG1`1053313
pMappingPackage2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1053349
pMappingPackage3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1053385
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1053421
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1053457
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1053493
pMatrixCategoryFunctions2`8`n`(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`1053529
pMatrixCommonDenominator`2`n`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1053682
pMatrixLinearAlgebraFunctions`4`n`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1053835
pMergeThing`1`n`(OrderedSet)->etc`(S)`MTHING`1053942
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1053994
pModularDistinctDegreeFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1054154
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1054384
pMonoidRingFunctions2`3`n`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1054561
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1054693
pMoreSystemCommands`0`n`()->etc``MSYSCMD`1054740
pMultFiniteFactorize`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1055007
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`1055088
pMultivariateFactorize`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1055145
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1055308
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1055574
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1055967
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1056244
pNonCommutativeOperatorDivision`2`n`(MonogenicLinearOperator(F),Field)->etc`(P,F)`NCODIV`1056569
pNonLinearFirstOrderODESolver`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1056880
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1057033
pNoneFunctions1`1`n`(Type)->etc`(S)`NONE1`1057266
pNormInMonogenicAlgebra`4`n`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1057439
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1057555
pNormalizationPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`NORMPK`1057589
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1058350
pNumberFormats`0`n`()->etc``NUMFMT`1058597
pNumberTheoreticPolynomialFunctions`1`n`(CommutativeRing)->etc`(R)`NTPOLFN`1058749
pNumericComplexEigenPackage`1`n`(Join(Field,etc))->etc`(Par)`NCEP`1058814
pNumericContinuedFraction`1`n`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1059085
pNumericRealEigenPackage`1`n`(Join(Field,etc))->etc`(Par)`NREP`1059223
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1059457
pNumeric`1`n`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1059669
pNumericalOrdinaryDifferentialEquations`0`n`()->etc``NUMODE`1059769
pNumericalQuadrature`0`n`()->etc``NUMQUAD`1064384
pODEIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1067799
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1067965
pOctonionCategoryFunctions2`4`n`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1068030
pOneDimensionalArrayFunctions2`2`n`(Type,B:Type)->etc`(A,B)`ARRAY12`1068210
pOnePointCompletionFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1068368
pOperationsQuery`0`n`()->etc``OPQUERY`1068472
pOrderedCompletionFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1068553
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1068655
pOrthogonalPolynomialFunctions`1`n`(CommutativeRing)->etc`(R)`ORTHPOL`1068784
pOutputPackage`0`n`()->etc``OUT`1068860
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1068916
pPadeApproximantPackage`3`n`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1069459
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1069825
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1070182
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1070250
pParametricPlaneCurveFunctions2`2`n`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1070290
pParametricSpaceCurveFunctions2`2`n`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1070324
pParametricSurfaceFunctions2`2`n`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1070358
pParser`0`n`()->etc``PARSER`1070392
pPartialFractionPackage`1`n`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1070512
pPartitionsAndPermutations`0`n`()->etc``PARTPERM`1070790
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1070954
pPatternFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1070981
pPatternMatchAssertions`0`n`()->etc``PMASS`1071012
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1071130
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1071206
pPatternMatchIntegration`2`n`(R:Join(RetractableTo(Integer),etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1071275
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(SetCategory,etc))->etc`(S,E)`PMKERNEL`1071470
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1071538
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`1071604
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1071676
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1071753
pPatternMatchResultFunctions2`3`n`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1071823
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1071870
pPatternMatchTools`3`n`(S:SetCategory,R:Ring,P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1071938
pPatternMatch`3`n`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1071998
pPermanent`2`n`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1072069
pPermutationGroupExamples`0`n`()->etc``PGE`1072165
pPiCoercions`1`n`(IntegralDomain)->etc`(R)`PICOERCE`1072563
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1072754
pPlotTools`0`n`()->etc``PLOTTOOL`1072886
pPointFunctions2`2`n`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1072929
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1072963
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1072997
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1073098
pPointsOfFiniteOrder`5`n`(R0:Join(IntegralDomain,etc),F:FunctionSpace(R0),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`PFO`1073228
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1073329
pPolyGroebner`1`n`(GcdDomain)->etc`(F)`PGROEB`1073410
pPolynomialAN2Expression`0`n`()->etc``PAN2EXPR`1074123
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`1074243
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`1074540
pPolynomialComposition`2`n`(UnivariatePolynomialCategory(R),Ring)->etc`(UP,R)`PCOMP`1074663
pPolynomialDecomposition`2`n`(UnivariatePolynomialCategory(F),Field)->etc`(UP,F)`PDECOMP`1074697
pPolynomialFactorizationByRecursionUnivariate`2`n`(R:PolynomialFactorizationExplicit,S:UnivariatePolynomialCategory(R))->etc`(R,S)`PFBRU`1074731
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1075024
pPolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`POLY2`1075239
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`1075382
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1075435
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1075488
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`1075582
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1075657
pPolynomialSolveByFormulas`2`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc))->etc`(UP,F)`SOLVEFOR`1075946
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1076185
pPolynomialToUnivariatePolynomial`2`n`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1076608
pPowerSeriesLimitPackage`2`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1076840
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1077085
pPrimitiveArrayFunctions2`2`n`(Type,B:Type)->etc`(A,B)`PRIMARR2`1077262
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1077414
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1077512
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1077742
pPrintPackage`0`n`()->etc``PRINT`1077807
pPropositionalFormulaFunctions1`1`n`(SetCategory)->Join(Type,etc)`(T)`PROPFUN1`1077871
pPropositionalFormulaFunctions2`2`n`(SetCategory,T:SetCategory)->Join(Type,etc)`(S,T)`PROPFUN2`1077953
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1078036
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1078152
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1079194
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`1079363
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1079456
pQuasiAlgebraicSet2`2`n`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`QALGSET2`1079492
pQuasiComponentPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`QCMPACK`1080746
pQuaternionCategoryFunctions2`4`n`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1081485
pQuotientFieldCategoryFunctions2`4`n`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1081682
pRadicalEigenPackage`0`n`()->etc``REP`1081790
pRadicalSolvePackage`1`n`(Join(EuclideanDomain,etc))->etc`(R)`SOLVERAD`1082071
pRadixUtilities`0`n`()->etc``RADUTIL`1082243
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1082309
pRandomFloatDistributions`0`n`()->etc``RFDIST`0
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1082358
pRandomNumberSource`0`n`()->etc``RANDSRC`1082408
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`0
pRationalFunctionDefiniteIntegration`1`n`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1082599
pRationalFunctionFactor`1`n`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1082725
pRationalFunctionFactorizer`1`n`(EuclideanDomain)->etc`(R)`RFFACTOR`1082846
pRationalFunctionIntegration`1`n`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1083132
pRationalFunctionLimitPackage`1`n`(GcdDomain)->etc`(R)`LIMITRF`1083214
pRationalFunctionSign`1`n`(GcdDomain)->etc`(R)`SIGNRF`1083267
pRationalFunctionSum`1`n`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1083339
pRationalFunction`1`n`(IntegralDomain)->etc`(R)`RF`1083383
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1083480
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1083561
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1083623
pRationalRetractions`1`n`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1083773
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1083887
pRationalUnivariateRepresentationPackage`2`n`(Join(EuclideanDomain,etc),List(Symbol))->etc`(R,ls)`RURPK`1083951
pRealPolynomialUtilitiesPackage`2`n`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1084387
pRealSolvePackage`0`n`()->etc``REALSOLV`1084488
pRealZeroPackageQ`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1084605
pRealZeroPackage`1`n`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1084910
pRectangularMatrixCategoryFunctions2`10`n`(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`1085214
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`1085388
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`1085489
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1085638
pRegularSetDecompositionPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSDCMPK`1085788
pRegularTriangularSetGcdPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSETGCD`1087250
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1088023
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1088077
pRepresentationPackage1`1`n`(Ring)->etc`(R)`REP1`1088131
pRepresentationPackage2`1`n`(Ring)->etc`(R)`REP2`1088640
pResolveLatticeCompletion`1`n`(Type)->etc`(S)`RESLATC`1089209
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1089307
pSAERationalFunctionAlgFactor`3`n`(UP:UnivariatePolynomialCategory(Fraction(Polynomial(Integer))),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAERFFC`1089458
pSegmentBindingFunctions2`2`n`(Type,S:Type)->etc`(R,S)`SEGBIND2`1089592
pSegmentFunctions2`2`n`(Type,S:Type)->etc`(R,S)`SEG2`1089694
pSimpleAlgebraicExtensionAlgFactor`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAEFACT`1089771
pSimplifyAlgebraicNumberConvertPackage`0`n`()->etc``SIMPAN`1089917
pSmithNormalForm`4`n`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1090024
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1090130
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1090178
pSpadParser`0`n`()->etc``SPADPRSR`1090740
pSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`SUP2`1090861
pSpecialOutputPackage`0`n`()->etc``SPECOUT`1091186
pSquareFreeQuasiComponentPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFQCMPK`1091301
pSquareFreeRegularSetDecompositionPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SRDCMPK`1092144
pSquareFreeRegularTriangularSetGcdPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFRGCD`1093537
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1094422
pStreamFunctions1`1`n`(Type)->etc`(S)`STREAM1`1094721
pStreamFunctions2`2`n`(Type,B:Type)->etc`(A,B)`STREAM2`1094782
pStreamFunctions3`3`n`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1094844
pStreamInfiniteProduct`1`n`(Join(IntegralDomain,etc))->etc`(Coef)`STINPROD`1094908
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1095087
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1095232
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1095437
pStructuralConstantsPackage`1`n`(Field)->etc`(R)`SCPKG`1095600
pSturmHabichtPackage`2`n`(OrderedIntegralDomain,x:Symbol)->etc`(R,x)`SHP`1095787
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1095949
pSupFractionFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:GcdDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`SUPFRACF`1096219
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1096423
pSymmetricGroupCombinatoricFunctions`0`n`()->etc``SGCF`1096490
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1096696
pSystemSolvePackage`1`n`(IntegralDomain)->etc`(R)`SYSSOLP`0
pSystem`0`n`()->Join(Type,etc)``SYSTEM`1096820
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1096928
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1097127
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1097558
pTexFormat1`1`n`(SetCategory)->etc`(S)`TEX1`1097611
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1097755
pTopLevelDrawFunctionsForAlgebraicCurves`2`n`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1097800
pTopLevelDrawFunctionsForCompiledFunctions`0`n`()->etc``DRAWCFUN`1097919
pTopLevelDrawFunctionsForPoints`0`n`()->etc``DRAWPT`1098034
pTopLevelDrawFunctions`1`n`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1098162
pTopLevelThreeSpace`0`n`()->etc``TOPSP`1098257
pTransSolvePackageService`1`n`(IntegralDomain)->etc`(R)`SOLVESER`1098331
pTransSolvePackage`1`n`(Join(EuclideanDomain,etc))->etc`(R)`SOLVETRA`1098889
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1099739
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1099790
pTranscendentalManipulations`2`n`(R:GcdDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1099881
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`1100006
pTranscendentalRischDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETR`1100175
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1100331
pTrigonometricManipulations`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1100806
pTubePlotTools`0`n`()->etc``TUBETOOL`1100957
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1101033
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1101146
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1101313
pUnivariateFactorize`1`n`(UnivariatePolynomialCategory(Integer))->etc`(ZP)`UNIFACT`1101442
pUnivariateLaurentSeriesFunctions2`6`n`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1101619
pUnivariatePolynomialCategoryFunctions2`4`n`(R:Ring,PR:UnivariatePolynomialCategory(R),S:Ring,PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1101796
pUnivariatePolynomialCommonDenominator`3`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`1101939
pUnivariatePolynomialDecompositionPackage`2`n`(R:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1102124
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1102309
pUnivariatePolynomialFunctions2`4`n`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1102455
pUnivariatePolynomialMultiplicationPackage`2`n`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1102798
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1103081
pUnivariatePuiseuxSeriesFunctions2`6`n`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1103756
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1103906
pUnivariateTaylorSeriesFunctions2`4`n`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1104034
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1104210
pUniversalSegmentFunctions2`2`n`(Type,S:Type)->etc`(R,S)`UNISEG2`1104361
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1104438
pUserDefinedVariableOrdering`0`n`()->etc``UDVO`1104504
pVectorFunctions2`2`n`(Type,B:Type)->etc`(A,B)`VECTOR2`1104737
pViewDefaultsPackage`0`n`()->etc``VIEWDEF`1105042
pViewportPackage`0`n`()->etc``VIEW`1105130
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1105256
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1105820
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1106182
pZeroDimensionalSolvePackage`3`n`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1106352
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1107674
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1107802
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1107923
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1108500
xAbstractSyntaxCategory&`1`n`(AbstractSyntaxCategory)->etc`(S)`ASTCAT-`1108653
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1108712
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1109232
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1109325
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),IntegralDomain)->etc`(S,R)`ACFS-`1109371
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1109426
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1109483
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1109711
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1109829
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1109969
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1110184
xBooleanLogic&`1`n`(BooleanLogic)->etc`(S)`BOOLE-`1110283
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1110340
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1110776
xConstructorCategory&`1`n`(ConstructorCategory)->etc`(S)`CTORCAT-`1110863
xDictionary&`2`n`(Dictionary(S),S:SetCategory)->etc`(A,S)`DIAGG-`1110931
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:SetCategory)->etc`(A,S)`DIOPS-`1111251
xDifferentialDomain&`2`n`(DifferentialDomain(T),T:Type)->etc`(S,T)`DIFFDOM-`1111381
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1112018
xDifferentialSpace&`1`n`(DifferentialSpace)->etc`(S)`DIFFSPC-`1113344
xDifferentialSpaceExtension&`2`n`(DifferentialSpaceExtension(R),R:Type)->etc`(S,R)`DSEXT-`1113479
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1113555
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1115937
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1116094
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1116263
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:SetCategory,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1116309
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1116670
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1117060
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1117210
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1117287
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1117694
xField&`1`n`(Field)->etc`(S)`FIELD-`1117782
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1118004
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1118246
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1118476
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1118647
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-`1120162
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1120378
xFiniteLinearAggregate&`2`n`(FiniteLinearAggregate(S),S:Type)->etc`(A,S)`FLAGG-`1120438
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1120682
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1120804
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1120955
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1121158
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1122185
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1122298
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1122576
xFullyLinearlyExplicitRingOver&`2`n`(FullyLinearlyExplicitRingOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1122698
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1122929
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1123361
xFunctionSpace&`2`n`(FunctionSpace(R),R:SetCategory)->etc`(S,R)`FS-`1123444
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1123523
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1123823
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1124163
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1124706
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1124818
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1125232
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:SetCategory,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1125292
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1125551
xInputByteConduit&`1`n`(InputByteConduit)->etc`(S)`INBCON-`1125869
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1125928
xIntegralDomain&`1`n`(IntegralDomain)->etc`(S)`INTDOM-`1125994
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`KDAGG-`1126323
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1126432
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1126746
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1126811
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1126976
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1127605
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1127871
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1128059
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:Ring,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1128155
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1128771
xMonad&`1`n`(Monad)->etc`(S)`MONAD-`1128838
xMonadWithUnit&`1`n`(MonadWithUnit)->etc`(S)`MONADWU-`1128944
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1129385
xMonoid&`1`n`(Monoid)->etc`(S)`MONOID-`1129495
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1129621
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NASRING-`1129796
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1129935
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1130243
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1130465
xOperatorCategory&`2`n`(OperatorCategory(S),S:SetCategory)->etc`(A,S)`OPERCAT-`1131272
xOrderedAbelianGroup&`1`n`(OrderedAbelianGroup)->etc`(S)`OAGROUP-`1131483
xOrderedAbelianMonoid&`1`n`(OrderedAbelianMonoid)->etc`(S)`OAMON-`1131583
xOrderedType&`1`n`(OrderedType)->etc`(S)`ORDTYPE-`1131684
xOutputByteConduit&`1`n`(OutputByteConduit)->etc`(S)`OUTBCON-`1131741
xPartialDifferentialDomain&`3`n`(PartialDifferentialDomain(T,S),T:Type,S:Type)->etc`(A,T,S)`PDDOM-`1131801
xPartialDifferentialSpace&`2`n`(PartialDifferentialSpace(S),S:SetCategory)->etc`(A,S)`PDSPC-`1132097
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1132308
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1132478
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-`1132781
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1133395
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1133520
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1133658
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1133750
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1133821
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1133916
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1134211
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-`1134322
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1134551
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1135003
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-`1135482
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1138312
xRing&`1`n`(Ring)->etc`(S)`RING-`1138487
xSemiGroup&`1`n`(SemiGroup)->etc`(S)`SGROUP-`1138585
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1138715
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1139041
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-`1139313
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1139569
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1139940
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`TBAGG-`1140044
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1140165
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-`1140226
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1141650
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`ARR2CAT-`1141699
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1142254
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1142792
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1142965
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Ring)->etc`(S,R)`UPOLYC-`1143259
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1143407
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1143754
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1144051
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1144434
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1144533
xVectorSpace&`2`n`(VectorSpace(S),S:Field)->etc`(A,S)`VSPACE-`1144953
